diff --git "a/data/dm_maths/full_data/2614_11255.jsonl" "b/data/dm_maths/full_data/2614_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2614_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(u) = -9*u**2 - 4*u - 7. Let a(g) = 13*g**2 + 6*g + 10. Calculate 5*a(h) + 7*z(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (23 + -59 - -1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2818 + -2818.68985. What is q rounded to two decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49802978 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-12 - -4)) + -43 + 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1414619748 and -0.03.\nAnswer: 1414619747.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-28))\/(30\/350)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 1312 = 23 - 162 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4130\/840 - 3\/(-4)) + -3 + -1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 1. Let s be i(1). Suppose 0*c - c + 24 = s. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*o = -173 - 114, -2*f = 2*o + 142. Let d = f + 208. Does 35 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291 and 16485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1000120?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2026810?\nAnswer: 2, 5, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 4*z - 2. Suppose -r = -5*a - 14, 5*a + 62 = -5*r + 12. Give w(r).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -205 and 7.95.\nAnswer: -197.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2512, 4202, 7016, 10960, 16040, 22262?\n\"Answer: a**3 + 556*a**2 + 15*a + 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 117 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 49. Let h(l) = -l**3 + 2*l**2 + l - 1. Let s be h(1). What is the highest common divisor of t and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 5*w = -85 + 1 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99.158586 - 0.839314. Let a = r - -100. Round a to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.1355684 seconds to weeks.\nAnswer: 0.000096123625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-651)\/(-93)*(18\/(-126))\/((-82)\/4)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**34\/d*d**5 assuming d is positive.\nAnswer: d**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5 + 20*u**4 - 1124*u**3 - 1140*u**2 = 0.\nAnswer: -19, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdj. What is prob of picking 1 j and 1 d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.79 + -46.21. Let z = 491353590 + -491353542.9999818. Let c = u + z. Round c to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -5. Let l = 4 - 2. Calculate the remainder when g is divided by (-65)\/(-25) - l\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40633 and 2497.\nAnswer: 446963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*g + 148 = 964, 5*g = -5*m + 4170. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1160*-406.4.\nAnswer: -471424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 2912 = 23*d + 39*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.542183 millennia in years?\nAnswer: 8542.183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.693 - -19.9599. What is j rounded to 2 decimal places?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * -10.9.\nAnswer: 38.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137 - 87 - 65)*(-s + s + s + 2).\nAnswer: -15*s - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*q = -67, 0 = 3*z + 3*q - 7*q - 101. Let 1805 + 5*t**4 + 215*t**3 - 3420*t - z*t**3 + 974*t**2 + 456*t**2 = 0. What is t?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 215, 739, 1765, 3461?\n\"Answer: 28*i**3 - i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**2*i**(-2\/7))**40)**(-8) assuming i is positive.\nAnswer: i**(2880\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 2076272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.8 - -71. Let h = 0.2 - o. Let l be (-2 - -1*18) + 68651\/(-4345). What is the third smallest value in -5, 2, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - c + 219 = 0, 2*c - 42 = -b + 66. Suppose 4*a - 96 = -4*q, 2*a = -5*q - a + b. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12*x**3 + 4*x + 14*x**3 + 3 - 2*x**2 - 2 - 7*x - 4. Calculate w(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-19\/2)*v*v**(-5\/6)*(v**(-1\/16)*v)\/(v*v**(-1\/17)))**10 assuming v is positive.\nAnswer: v**(-38095\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.286 greater than 0.9384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 6 - 8*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from fufufpf?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4)\/(-3 - 26\/(-9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {n: 7, r: 6, y: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40412 <= 40412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/3 - 35\/24. Let v = -2 + 1.9. Which is the nearest to v? (a) o (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 37*h**6\/3 - 4*h**3 - 2*h**2 - 3. Find the third derivative of g(u) wrt u.\nAnswer: 4440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 11:51 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-2100)\/(-875))\/((-1)\/(-2)*3))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.09, 6 in increasing order.\nAnswer: -0.01, 0.09, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3605 - 1066. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(22139 - 2940*z - 22139).\nAnswer: -2940*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -88, -3\/5, 5 in descending order.\nAnswer: 5, 1\/6, -3\/5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269.4 - -267. Is c <= -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -7 (b) 2 (c) 4\/3 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 32318053?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*l - 17124 = 1313*l + 789*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*u**4 - 62*u**4 + 42*u**4)*(-539*u + 509*u - 2 + 5 - 5).\nAnswer: -480*u**5 - 32*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9040*b**3*c - 23*b**3*p**3 - 33*b**3*p - b**2*c*p**3 + 26*b**2*p**2 wrt c?\nAnswer: 9040*b**3 - b**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11304, -22547, -33782, -45009?\n\"Answer: 4*d**2 - 11255*d - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138.32 + -139.26. Which is the third smallest value? (a) -14 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/255 + c**5\/34 + 3*c**4\/34 + 7*c**3\/51 + 2*c**2\/17 - 11*c - 2. Suppose h(x) = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.08 + -1.8. Let z = -0.12 - v. Let j = 3\/68 + 59\/204. What is the third smallest value in j, z, -3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 4*m**4 - 12 + (0*m**3 + 2*m**3 - m**3)*(7*m - 3*m - 2*m).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 76 - 325 - 4*l + 71 + 37 + 69 - 9*l.\nAnswer: -13*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*w - 3*l - 0*l, -4*l = -3*w - 23. Sort 0, 4, 22, w in descending order.\nAnswer: 22, 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + 1563?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -37. Calculate the common denominator of -73\/18 and (-470)\/p + (-4)\/(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 9) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(204) + sqrt(204)*-1 + sqrt(204)))\/(sqrt(12) - (1*sqrt(1728) + sqrt(1728) - sqrt(12))))**2 + 0.\nAnswer: 17\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Let s be (0\/b + 0)\/(-2). Let u(h) be the second derivative of -h**5\/20 - h**4\/12 - h**3\/6 - 3*h**2 - 9*h. Calculate u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1170, -1, 12, 5, 151.\nAnswer: -1, 5, 12, 151, 1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.727 and 5.\nAnswer: 15.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1364*x = 1333*x + 11377. What is the remainder when 604 is divided by x?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2444436 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 + -10001001100?\nAnswer: -10000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1562.991t?\nAnswer: 1562991000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 9. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 3*u = 27, -4*s - 78 = 2*u. Let p = -11 - s. What is the remainder when 50\/(-10) - (-372)\/12 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1367, -2773, -4179, -5585, -6991, -8397?\n\"Answer: -1406*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(429)\/(2*sqrt(11)))\/sqrt(3).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608809, -1217569, -1826329, -2435089?\nAnswer: -3043849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/28*8\/(-18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 12*d + d)*(5*d - 2*d - 4*d)*(35 - 76 - 40)*(-2 + 1 - 4) as v*d + a + k*d**2 and give k.\nAnswer: -6075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14348 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000183 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11245 + 11353. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*f = 6, f = n - 0*n - 6. Let m(s) = s**3 - s**2 + 4. Let w be m(n). Are 53 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5227*g**5 + 27*g**3 + 426642*g wrt g?\nAnswer: -104540*g**3 + 162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/3))\/d)**(6\/7))**(-1\/13) assuming d is positive.\nAnswer: d**(-2\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2 - (-28)\/16*4\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14664355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 8*s + 15. Let l be w(5). Suppose l = -6*c + 11*c - 95. Suppose 0 = -c*a + 13*a + 108. What is the highest common factor of 126 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -0.6.\nAnswer: -4, -1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 49113094 divided by -64793\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpcc when four letters picked without replacement from {p: 1, z: 1, c: 2, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -11*l**9\/30240 + l**6\/144 + 9*l**5\/20 - 36*l**2. Let b(k) be the third derivative of t(k). Differentiate b(i) wrt i.\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 13503742?\nAnswer: 13503736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2304 (base 14) to base 9\nAnswer: 8305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 2454?\nAnswer: 244b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 2 (c) 701 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + p - 5, -i + 5*p - 19 = -27. Does 24 divide -4 - (-678)\/(18\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Suppose -10015 + 18535 = 93*p - 15846. What is the greatest common divisor of 3799 and p?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, h: 1, e: 1, z: 5}. Give prob of picking 1 h, 1 e, and 2 a.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3077 - -143?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*l - 3*r - 176, 18 = -3*r. Put -3, -4, l in increasing order.\nAnswer: -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = d + 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 153 + 1\/2*2. Suppose -4*v = -l - 22. Let p = 43 - v. Which is the third biggest value? (a) -0.2 (b) p (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*i = -3*m - 305*i + 11, -2*m = -3*i - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t. Let b(j) = 17*j - 1. What is b(p(o))?\nAnswer: 85*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39494, -157960, -355396, -631802, -987178, -1421524, -1934840?\n\"Answer: -39485*y**2 - 11*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 19*r + 12 + 3*r - 7 + 10*r - 2.\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 1. Let c be r(1). Let h be 5 - (c - -4 - -1). Solve h*t - t - 18 = 5*m, -3*t + 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = 0. Let c = 7 + -6. Suppose -c = -w - x. Put w, -2, 0.02 in descending order.\nAnswer: w, 0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 4*v**3 + v**3 - 4*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/4 + 4*a**3\/3 + a**2\/2 - 4*a + 17. Give m(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13857*n - 152431. Determine d(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1540 + -1506. Calculate the remainder when 68 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*v - 984 + 88 + 532 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17983933577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 81\/(19*(-102)\/646)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 48549*t**2 + 2*t + 48549*t**2 + 48554*t**2 + 48555*t**2 - 194209*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*t = 388*t - 289 - 52 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5471153616 - 1?\nAnswer: -5471153617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 11 + 3. Let z be 0*1\/(-1) - x. Suppose -z*d + 11 = -3*s - d, -2*s = -5*d + 16. Let g(o) = 5*o - 1. Give g(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 - -5. Let z = p - 3. Let h = -0.153 - 0.147. Which is the second smallest value? (a) 0.1 (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than 30701236?\nAnswer: 30701234.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 3. Let j be g(5). Let v(a) = -14*a**2 - 1178*a - 164. Let z be v(-84). What is the highest common divisor of z and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:53 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 4*f = 112. Suppose -2*x - 4 = -12. Calculate the least common multiple of x\/(-18) + (-200)\/(-9) and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4610344 is divided by 841?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 945420728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 16 = -2*i, -i + 5*f - 26 = -2*i. Suppose -y - 218 = -5*s, -s - 4*y - 3 = -34. Calculate the remainder when s is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 1. Let i be f(3). Let p be (12\/(-10))\/((-1)\/i). Let b = 11 + p. Solve b*m - 11 = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:46 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*b + 8389 = 879*b - 46667 for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100010100111 + 1010?\nAnswer: 1111100010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 155878 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43274 by 154.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1202769, -1202774, -1202779, -1202784, -1202789, -1202794?\n\"Answer: -5*m - 1202764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/4802122 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 - 13 = 0. Let a = 30 - 11. Suppose -c*i = -a - 17. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21800)\/(-19620))\/(7\/(-27))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.8, 20441, -0.3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48345 + 412?\nAnswer: -47833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**3 + 5*f - 5*f + 20 + 16*f**3 - 31*f**3.\nAnswer: 2*f**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668 = -91*h + 87*h. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + 0 + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182065 to the power of 1\/2, to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 - 49*f**2 + 34*f + 230. Calculate the remainder when 1974 is divided by z(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -676*l**3 + 23296*l**2 - 246269*l + 733445.\nAnswer: -(l - 5)*(26*l - 383)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406701177 to the power of 1\/3, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 25. What is k(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-4) + ((-203210)\/40 - -2). Let i = 9676 + d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 6*n**2 - 6*n - 10. Suppose 7*g - 25 = -74. What is a(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 5, o: 2, i: 1, g: 1, x: 6}. What is prob of sequence xoa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 100 = -5*y - 2*t, t = -4*y + 18. Solve g + 6 = -2*i - 3, 0 = y*i + 3*g + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + (1 - (-14)\/4))*20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 61 = 5*l, -y - 8*l + 364 - 395 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 - 2*o**2 + 3*o + 25*o**3 + 26*o**3 - 3*o - 46*o**3 - 4*o**4 = 0. Calculate o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {k: 9, f: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 9*s + 1. Let z be p(-5). Let u(i) = -19*i - 30. Let d be u(z). Let y = d - -38. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.35, 0.8, 0.09?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-960)\/(-2080)*(-1287)\/22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 7:17 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 2*m. Let i be h(2). Suppose 6*k = i*k + 6. Suppose -4*y + 10 + 2 = 4*a, 4*a = -k*y + 16. Solve -2*o + 6 = 4*v, -15 = -v + a*o - 3*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69423, -277765, -625005, -1111143, -1736179, -2500113, -3402945?\n\"Answer: -69449*r**2 + 5*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 + 455 + 533 + 172*p.\nAnswer: 172*p + 1069","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -101. Let k = w - -136. Suppose -5*y = -y - b - k, 5*b = 4*y - 112. What is the lowest common multiple of y and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -2*l. Let c be l\/(11*(-2 + 1)). Let t(s) = -s**3 - 3*s**2 + 4*s. Let u be t(-4). Do u and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 56 = -59 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*g - 258, -4*k - 168 - 9 = -3*g. Let s = -40 + g. Let j = s + -21. Solve h = -j + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 2*m**4 - 2*m**4)*(3*m - 7*m + 0*m).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*y - 4 = 350*y + 2*d, -4*d - 8 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -121107.166 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) - 6\/(-21). Let z(c) = c**3 + 2*c**2 - 5*c - 6. Let o be z(-3). Is o not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30221 - -31331. Calculate the greatest common divisor of b and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:57 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcu when three letters picked without replacement from muc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*z**2 - 968*z**3 - 121*z**2 + 12*z**2.\nAnswer: -968*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.33452 millilitres to litres.\nAnswer: 0.03033452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 4 (c) 5 (d) 2 (e) 0 (f) -3\/529\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -19*w**3 - w**2 + w + 1. Let x(s) = s - 1. Let y be x(0). Let q be a(y). Suppose -5*h + q = 3. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 + k + 55 - 111 to the form n + v*k and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -103, -99, -55, 41, 201, 437?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let d(h) = -6774539*h. Determine d(t(o)).\nAnswer: 13549078*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**2*o**4 + 43140*b**2 + 1245690*o**4 + 44*o**2 wrt o?\nAnswer: 96*b**2*o + 29896560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6)\/y*y)\/(y\/(y\/((y\/y**6*y)\/y))))**44*((y*y\/y**0)**40)**5 assuming y is positive.\nAnswer: y**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283 - 190. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2374 (base 11) to base 16.\nAnswer: -c22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2773223 is divided by 308135?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 74 = 34*b. Suppose 2*y + y + 15 = 0. Let q(f) = -f**3 - 4*f**2 + 5*f + 6. Let w be q(y). Solve 4 = -w*i + b*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 1257?\nAnswer: 11313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {l: 1, r: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 781*o - 176. Let u(t) = -27*t + 6. Let z(l) = -3*p(l) - 88*u(l). Let d(c) = -3*c. Calculate d(z(f)).\nAnswer: -99*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + -7 + -1 + -2. Let y be (29 - 31)*x\/(-1 - 1). Let s(k) = 2*k**2 - y + 7 + 2*k**2. Let z(t) = -2*t. Give z(s(g)).\nAnswer: -8*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 6*q**2 - 4. Let a be w(8). Suppose n - a = -n. Suppose -2*m + 4*c + 43 = -27, n = 2*m + 4*c. Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3 + 13. Let t be (0\/2)\/(0 - 2\/1). Let y = 335 - 323. Solve t = v*r + r - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 1:47 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, 0.12, -0.5, 0.1, 8 in increasing order.\nAnswer: -22, -0.5, 0.1, 0.12, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12 - 6) + (-912)\/140)*(-14 + (-198)\/(-12)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3042 - 1114312?\nAnswer: -1111230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3492767 centuries to years.\nAnswer: 34.92767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/6*(-19 - (-804)\/48))\/((-33)\/(-44)).\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*k + 2)*(-k**4 + k**4 - 2*k**4) + 3*k**5 + 2*k**5 - 2*k**5 - 11*k**5 + 20*k**5 + k**5 + (-k**4 + 0*k**4 + 0*k**4)*(4*k + 0*k - 2*k).\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 80. Let y(q) be the second derivative of 1\/3*q**4 + q**2 + 0*q**3 + c + 5*q. Differentiate y(h) with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8711 divided by 7?\nAnswer: -8711\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 873121.4 millilitres in litres?\nAnswer: 873.1214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9146109*-3.\nAnswer: 27438327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -25*s - 16*s - 440 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*z + 3*y - 23, z + y - 4 = 0. Let c be 12\/10*z\/(243\/(-90)). Let r = 7.7 + -8. What is the biggest value in r, c, -5\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4\/5793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18696470 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = -32*r + 11814. What is the remainder when r is divided by (10 - -3) + -3 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - -6)*(-2)\/(-5). Let z(b) = b**3 - 4*b**2. Let i be z(v). Suppose 0 = 2*u - 42 - 8. Solve 4*o + o - u = i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 = 2*h - 4*h. Suppose z + 0*z = -h. Let p = -108 - z. List the prime factors of p.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182148913?\nAnswer: 29, 89, 70573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:34 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120102 (base 5) to base 2.\nAnswer: 100111000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119347 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-32)\/14)\/4)\/(12\/(-426342)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(sqrt(32) + -1)*-6)**2.\nAnswer: -11520*sqrt(2) + 43072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r - r**2)*(4*r + 5*r - 4*r) + (10*r**2 - 3*r**2 - r**2)*(-2 + r + 2) to the form t*r**2 + x + u*r**3 + o*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 + 59.301?\nAnswer: 59.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12110100 (base 3) to base 16.\nAnswer: -f8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.1 - 7.3122?\nAnswer: 385.7878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6238595 divided by -1247719.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2618, 2855, 3090, 3323, 3554, 3783, 4010?\n\"Answer: -j**2 + 240*j + 2379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31763159?\nAnswer: 67, 474077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1963 - 46?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -11\/2*r**2 + 220 - 2*r + 2\/3*r**3 + 11\/4*r**4. Suppose c(v) = 0. Calculate v.\nAnswer: -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/181933 and -31\/172?\nAnswer: 727732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + z + 3, 2*t + 2*z - 4*z = 0. Suppose 4*a = -t*b + 15, -3*a - 2*b = -2*a - 10. Let j(k) = -2*k + 293. Is j(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b**2. Let q be ((-15)\/10)\/(1*12\/(-8)). Calculate the lowest common multiple of g(q) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmg when four letters picked without replacement from uumugmgmmuggmguguum.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -135?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -40 in descending order.\nAnswer: 2, -9, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/75 and 71\/2109.\nAnswer: 52725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 132\/12 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*c + 2 = 0, -7*b + 5*b - 2*c = 2. Let w be (21 - 21)\/(3 + b). Solve -4*q + 2*f = w, 0*q + 3*f - 14 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 19656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 16*j = -14*j. Which is the nearest to -2? (a) -3 (b) j (c) 5 (d) -7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 2*m**2 + 3*m + 3*m**2. Let v be g(-6). Let r(h) = -2*h - 5. Let j be r(-7). Calculate the greatest common divisor of v and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 23. What is f(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -104644912 divided by -26161228\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705125621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0 - 1\/2*z**3 + 5*z + 0*z**2. Let b(w) = -2*w. Give b(i(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 0. Let r = -9.3 - q. Let y be (1\/(-6))\/(-1 + 0). Put y, 1\/9, r, 2\/13 in decreasing order.\nAnswer: y, 2\/13, 1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*20147.3\nAnswer: 80589.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*a + 66 = 0, -2*a + 56 = -3*p + 3*a. Let m be p\/(-14) + 3*(-1)\/6. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.76 - -0.36. Let v be (15\/(-120))\/((-3)\/4). What is the biggest value in y, v, 0, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3 - 19. Solve 4*l = -3*w + 4, c*w + 3 - 6 = -3*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by (19\/7 + -1)\/(1110\/3885)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8520 by 3.\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 2214560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 1352?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2. Let a(l) = 9979349*l. Give a(q(r)).\nAnswer: 49896745*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = -29*q - 75*q + 218*q. Suppose -4 - 20 = -3*y + 2*u, -4*y = -3*u - 32. Put -5, q, y, 2 in ascending order.\nAnswer: -5, 2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -21. Let y(m) = -m. Let a be y(l). Solve -8*p + a*p + 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -17, -31, -51, -77, -109, -147?\n\"Answer: -3*s**2 + s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 4*n**5 - 2*n**5 + (-224*n + 112*n + 116*n + 85)*(-3*n**3 + 4*n**4 + 3*n**3).\nAnswer: 19*n**5 + 340*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3628, -3625, -3620, -3613?\nAnswer: -3604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2007, 139.5, 1\/3 in increasing order.\nAnswer: -2007, 1\/3, 139.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/6 - y**4\/4 + 899*y**3\/6 + 923*y**2. Find the first derivative of a(u) wrt u.\nAnswer: 20*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.3. Let v = m + -0.3. Let z = v - -0.4. Which is the biggest value? (a) -0.5 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -38, 5, -5, -17 in descending order.\nAnswer: 5, -2, -5, -17, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -5, 16, 0.1, -0.2, 4 in decreasing order.\nAnswer: 16, 5, 4, 0.1, -0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t*t**(-2\/9))\/t*t*t)))**(2\/107)*(t*t*t*t**(-2\/3)*t)**(1\/3) assuming t is positive.\nAnswer: t**(1120\/963)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2478, 2486, 2494, 2502?\nAnswer: 2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 720\/32*8\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09709 in -0.5, 0.4, -0.4, 62?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207 + -187. Let n = -19.6 + b. What is the closest to n in 0.5, -0.1, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 59*m**2 + m. Let x = 9 - 7. Suppose 5*g - 20 = -4*j - 1, -4*j - x = -2*g. Let q be h(j). What is the greatest common factor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 75314578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -3. Let z = g + -2. Let q = -19 + 19.1. Which is the nearest to -1\/3? (a) q (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 7*y + 3190 = 4*y. Calculate the highest common factor of 2204 and y.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -29. What is the least common multiple of i and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + -2) - (-10 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 480 + -525. Do 3 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4783137 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 5*k - 95, -6*p = -p + 2*p + 4*k - 281 + 28 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2548565, -5097172, -7645819, -10194506, -12743233, -15292000, -17840807?\nAnswer: -20389654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245181 + 839549 = 251*v. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**14\/p)\/p**16*p**(-1\/24)\/p**(-1\/12))**19 assuming p is positive.\nAnswer: p**(-893\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let b be w(-4). Let d = 18 - b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20 + -4)*(8 - 1645\/205). Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*r = -5*r - 8, 8 = -2*s - 4*r. Suppose 2*w = -2*n, -w - 8 = s*n + n. Suppose -6*j**2 - j**3 + 4*j**3 - 2*j**2 + 3*j + w*j**2 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:48 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 7*m + 2. Let f be z(-7). Is 0\/(-1) - (2 - (f - -977)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*y - 64. Suppose y = 17*m - 15*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1031\/7 - 147. Factor 8\/7*y + 8\/7 + m*y**2.\nAnswer: 2*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -49. Suppose 5*y - w = -16. Let j(f) = -27*f**2 + 4. Let d(i) = 82*i**2 - 11. Let o(g) = y*d(g) + 7*j(g). Differentiate o(h) wrt h.\nAnswer: -50*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 28)\/(-7 - -5). Suppose i + 2*c - m = 0, -2*c + 5 = 5*i - 7*c. Calculate the remainder when (1 - 0\/2)*(12 - 3) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2340, -9399, -21168, -37653, -58860, -84795, -115464?\nAnswer: -150873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 13. Let t be 152\/380*(d\/(-11))\/(-2). Suppose 1 = -3*q + 4. Which is the closest to t? (a) 2 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -985.13 to 0 decimal places.\nAnswer: -985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 465, -600, -3481, -9084, -18315, -32080, -51285, -76836?\n\"Answer: -151*y**3 - 2*y**2 - 2*y + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 1281 in increasing order.\nAnswer: -4, 13, 1281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -207.0507416 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -29, -1, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -304 + 304. Solve -5*n - g + 6*g - 10 = o, 2*g + 5 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(6)\/(sqrt(2)*2) + sqrt(3)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-3))\/((-2)\/(-2)))\/(63\/(-244755)*-35).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -24. Suppose -b - 4*b + 13 = -g, -13 = -3*b - w*g. Sort -2, b, -8 in increasing order.\nAnswer: -8, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/5)*d\/d**(9\/4))**46 assuming d is positive.\nAnswer: d**(-299\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/3 - 237*h - 1426\/3 = 0. What is h?\nAnswer: -2, 713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4543, 18025, 40487, 71923, 112327, 161693?\n\"Answer: -w**3 + 4496*w**2 + w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110100 (base 2) to base 15.\nAnswer: 4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 281.2133.\nAnswer: -281.2133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3243*m + 3245*m + 4*t, -24 = 2*m - 2*t for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 3*p - 3. Let m(z) = -8*z - 10*z - 17*z - 35 - 17*z + 50*z + 37. Let y(g) = -g**2 + 6*g + 3. Let q be y(6). What is q*m(d) + 2*v(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 - -6.07. Let c = u - 3. Let p = -4.86 + 5.86. What is the second smallest value in p, c, -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -106, -233, -410, -637, -914?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000262948 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 15*i + 7. Let v be g(-15). Suppose -5*o + v = p, -3*p - 34 = -5*p - 5*o. Let t = 77 - p. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 86*d + 946. Determine b(73).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u**4\/5 + 1161*u**3\/5 - 309*u**2\/5 - 1161*u\/5 + 66 = 0. What is u?\nAnswer: -1, 2\/7, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = l - 45. Let s = l - 14. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2*-2)\/(-208 - -203)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/6*2\/(-5). Let x(d) = -7*d**3 - d**2 - d. Let g be x(-1). Suppose -p*l = -g*l + 52. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 3005440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -387*k**2\/5 + 1131*k\/5 + 18.\nAnswer: -3*(k - 3)*(129*k + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809 = -5*j + 71. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11705 is divided by 67.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -49?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + 37. List the prime factors of d\/4*4\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaaa when four letters picked without replacement from uaauaauuuauuujjj.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:04 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 11. Let h be k(7). Let p(l) = -2*l + 8. Let j be p(h). Suppose -4*b + j*b + 5*a = -41, -3*b = a - 87. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**8\/30240 + b**7\/2268 - b**4\/6 + 13*b**2. Let r(t) be the second derivative of u(t). What is f in r(f) = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1799.756\nAnswer: 719.9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*i = -r + 149, -5*r + 4*i = -176. Let w = r - 34. Differentiate -15*q**3 - 10 + 10*q**w - 4*q**2 - 6*q**2 wrt q.\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2\/(54\/57))*420\/(-420).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(270\/(-81)*6\/8)*7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15)\/(3\/(-390)*2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/3)*x)\/x)\/(x\/((x*x**(-1\/13))\/x)))\/(x**(-2)\/(x**(-3\/13)\/x)))**(1\/18) assuming x is positive.\nAnswer: x**(-19\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73277844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/12 - 5*i**3\/3 - i**2 + 2*i. Let l be q(10). Let p be (-2)\/(-7) - 33\/(-7). Put 1, l, p in ascending order.\nAnswer: l, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3078\/33345*(-1 - (-8)\/3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*(-16)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/14 and 3\/(-4) - (-1 + (-1485)\/(-5436))?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011000101 (base 2) to base 14.\nAnswer: -1297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w. Suppose -r + 3 = 5. Calculate k(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*b**2 + 4271*b - 52*b**2 + 4080*b - 8351*b.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.140725 + 0.1293. What is f rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*c - 6*c + 3*c)*(2 + 1 - 1) - 4*c + 2*c + 4*c + c - 2*c - 2*c)*(-c**2 + c**2 + c**2)*(-56792 + 56792 - 2781*c)*(0 + 1 + 1).\nAnswer: -5562*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -36*z + 1728. Calculate r(48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -117, -4 in descending order.\nAnswer: 1, -4, -10, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o**2 + 1 + o**2 + 17*o - 49*o**4 + 67*o**4 wrt o?\nAnswer: 216*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -214 in 8, 0.3, -1871?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/58 and -143\/1776.\nAnswer: 51504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjh when three letters picked without replacement from {j: 11, l: 2, z: 1, h: 2}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -300322, -1201305, -2702946, -4805245, -7508202, -10811817?\n\"Answer: -300329*u**2 + 4*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -2)\/((-3)\/(-4)). Suppose 0 = -a*v - 3*g - 0 + 7, -2*v = 2*g - 2. Let y(r) = -r**2 + 4*r - 4. Determine y(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 67*n.\nAnswer: 67*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6482479, 6482475, 6482471, 6482467?\n\"Answer: -4*n + 6482483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 2022111112?\nAnswer: 2022111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891541.5g to kilograms.\nAnswer: 891.5415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 419*v - 416*v - 10 = 0, -2 = -2*z - 5*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105910 times -0.83?\nAnswer: -87905.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*g**2*z - 18*g**2 - g*z + 11*g + 40950*z wrt g?\nAnswer: 22*g*z - 36*g - z + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 304*n**2 - 3*n + 3. Is x(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-180)\/24*(-2)\/3. Suppose b*c + 219 = 5*y + 2*c, c = 5*y - 213. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*x**3)*(-1567 - 105*x + 1567) + 34*x - x**4 - 31*x - 35*x.\nAnswer: 209*x**4 - 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/336090 and -31\/136?\nAnswer: 1344360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = 2*z. Let r be 2\/(-8) + 61365\/z. Suppose -b - 341 = -r. What is b rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from tsrggrggrrgtstggrrrm.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 10*p**4\/13 - 1126*p**3\/13 + 6432*p**2\/13 + 1655424*p\/13 - 995328\/13 = 0.\nAnswer: -32, 3\/5, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19 + 5*x**2 - 3*x**3 + x - 14 - 6*x. Let m(l) = 12*l**3 - 21*l**2 + 21*l - 21. What is 21*a(q) + 5*m(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i. Let o = i - -3. Suppose 5 = o*q - 19. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.7681674 rounded to 0 decimal places?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1224 in descending order.\nAnswer: 1224, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in -126, 2\/3, 2, 4, -5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210002001011 - -2?\nAnswer: -210002001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 + 8917 = 13*w. Suppose -6*t + w = -752. List the prime factors of t.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbdly. Give prob of sequence ybk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -57. Let l = -6 + n. Let f = l + -2. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z = 2*j - 10, -z + 20 = 4*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/697070 and 1\/20.\nAnswer: 1394140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54023, -54102, -54313, -54722, -55395, -56398, -57797?\n\"Answer: -11*j**3 - 2*j - 54010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/5? (a) -6 (b) -0.444 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, -12, -65, -150, -273, -440, -657?\n\"Answer: -k**3 - 7*k**2 + k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39648 and 1736?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52640 - -5?\nAnswer: 52645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -387279.\nAnswer: -387281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20004529441.101 minus -0.5?\nAnswer: -20004529440.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5 - 1972*u**4 - 32364*u**3 - 107660*u**2 - 126136*u - 48864 = 0.\nAnswer: -12, -2, -1, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, -0.11, 1.4, 4.39?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/9*54\/135?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12047 and -12120 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -16*p**2. Let c be 0 - (-7 + 4) - 7. Let x be c\/((4\/3)\/(-4)). Let w(i) = x*i + i**2 - 3*i**2 - 12*i. What is w(n(u))?\nAnswer: -512*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3450 + 3457 = -2*b - 3*n, 2*b - 3*n = -13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6 + 78\/((-103896)\/777)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 144, 156, 190, 258, 372, 544?\n\"Answer: 2*y**3 - y**2 + y + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 405 + 315. Let s = t + 433\/3. Suppose -4*a - 8\/3 - 2\/3*a**2 + a**3 + s*a**4 = 0. What is a?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, -7.9, -115, 54 in increasing order.\nAnswer: -115, -7.9, 0.14, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -1 - -3) + 94 + -87?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2 = 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/1126 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l. Let r = l - -16. Suppose u + 7*u - r = 0. Solve 7 = -w - 3*o, -8 = 4*w - u*o + 4*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from yyamayyyakysy?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 3. Let j(a) = 1. Suppose 3*o - 4*c - 8 = -o, -2*o = -4*c - 14. Let i be (-6)\/o - (-3)\/(-1). What is i*m(l) + 5*j(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-2))\/(-5 - 732\/(-146)). Let l = -50 - y. What is the remainder when 90 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1904 = -624*r - 1280 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 33 = 7*w. Let k(q) = -2*q**2 - q + 15. Calculate k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/36 + 13\/(-11856)*664\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473835 divided by 3057.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289214*-0.1.\nAnswer: 28921.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(4\/9)*r**(-5))\/(r**(-2))**(1\/7))\/(r**(-11)*r**12)**(2\/23) assuming r is positive.\nAnswer: r**(-6152\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 4, -37?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 97*m = 14*m + 984 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - g**2 - 2*g - 1. Let u be j(2). Let h = u - 6. Solve a = h - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501695377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -6, -14, -24?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -38*j. Let f(s) = -211330*s**2. What is w(f(i))?\nAnswer: 8030540*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176392 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(768)*2 + (sqrt(72)*-2)\/sqrt(6))**2 + (-2*sqrt(300) - (sqrt(12) + sqrt(12) + sqrt(12) + 0 + sqrt(12) + -5)) + 4.\nAnswer: -28*sqrt(3) + 2363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 + 5 = 0. Let u(l) = l + 7. Let r be u(-6). Is o > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 6*l**2 + 6. Let m(v) = -7*v**2 - 7. Calculate -7*k(i) - 6*m(i).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.1 and -563.\nAnswer: -13568.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 7. Suppose -r = -i + 15. What are the prime factors of 148\/18 - (-2)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(((-4400)\/(-192))\/(-25) + (-1)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20653*w + 20633*w + 8937260. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 17*p - 20*p + 20*p**3 - 12*p**3 + 22*p**3 to z*p**3 + o*p**2 + n*p + a and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 52.22664 micrograms?\nAnswer: 0.05222664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-98)*(-413)\/(-649).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9830\/11 + 39287\/44. What is the nearest to -0.02 in b, -2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*s + 42 - 598, 5*s + 20 = 0. Suppose 10*d = 6*d - 240. Let w = d + f. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.4 + 1.6. Which is the closest to 1? (a) 0 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30332 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 - (-4)\/14. Suppose -c + j - 1 = o, c = 2*j - 5*j - 13. Let w(r) = -r**2 - 5*r. Let d be w(c). Solve -9 = d*g + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -676 + 40561\/60. Let r(k) be the third derivative of 1\/6*k**4 + 0*k + 0*k**3 + 0 - c*k**6 - 1\/30*k**5 + 3*k**2. Factor r(h).\nAnswer: -2*h*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(3 + (-1*(4 + 1 + sqrt(1584)) - (1*sqrt(1584)*-6 + -1 + sqrt(1584) + -3))))**2*-2.\nAnswer: -811058 - 3840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8*g - 81792 = 0, 79*h - 78*h - 4*g - 20454 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most -24562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 235*v**2 + 10*v + 2477. Give p(-235).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -55404*a**2 - 13*a + 26. Let o be b(2). Let r = -375216 - o. Round r to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -5, 441, -0.5, -0.012?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3 + 32413468*t**2 + 129653848*t + 129653840 = 0. Calculate t.\nAnswer: -16206730, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315 and 95?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5695094 <= -5695101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-348)*(-18)\/12\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrmaggzxzaz. What is prob of sequence rzx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 3\/22 in ascending order.\nAnswer: -11, 3\/22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 6) to base 8.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 70d263 - -3?\nAnswer: 70d266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163169 or -163160?\nAnswer: -163169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609 and 696.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - -0.06. Let y = h - 0.173. Round y to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 1. Let d(t) = 48*t + 14 + 17 + 22 - 55. Let g(v) = 4*a(v) + 2*d(v). Let j(q) = q. Determine g(j(f)).\nAnswer: 92*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69*j**3*y - 323*j**3 + 2*y wrt y.\nAnswer: -69*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Suppose -2*o = -17 + 5. Let r(i) = 2*i**2 - 1 + 1 - o*i**2. What is b(r(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -14393?\nAnswer: -1437b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 110110000000011001 (base 2) to base 15\nAnswer: 45824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + (124 - 38) - 49.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1018*r + 12 = -1002*r - 36 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21789 divided by 3.\nAnswer: 7263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8060?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1176331325?\nAnswer: 1176331326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*n + 10011 - 5081 - 5026 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 4)*(-5*g + 4*g + 3*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94598 is divided by 368?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:11 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**6 - 3*k**4 + 597*k**2 wrt k.\nAnswer: -360*k**3 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 - (-5 - (1 - 1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5415541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37, -72, -107, -142, -177?\n\"Answer: -35*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.07?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 1. Suppose -w = -2*q + 10, -3*w + 4*w = -q - 1. Suppose 2*a = q*a + 1. Let u be y(a). Let h(b) = -3*b**2 - 4*b - 2. What is h(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 8)*(-3 + 11 + 8*z**3 - 6) to the form g + w*z**3 + v*z + s*z**2 and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 210557929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttw when three letters picked without replacement from {a: 1, m: 10, d: 2, w: 1, t: 2}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14*d - 3. Let a(t) = -5*t - 1. Calculate -11*a(k) + 4*b(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 divided by -12.\nAnswer: -137\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - 5*j + 3*j)*(7129*j + 6903*j + 9478*j + 8004*j + 6675*j - 2268*j) in the form f + u*j + m*j**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5244 - 6364 = -464*r + 1848 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -75 (c) 3\/5 (d) 194 (e) 37 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*y + 50 = 5*y, 2*y = -3*f + 65. Let g(o) = o**3 + 5*o**2 + o - 4. Calculate the remainder when f is divided by g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130039977051 + 1901.\nAnswer: -130039975150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1505 (base 6) to base 4\nAnswer: 12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10584 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*q*x**2 + 4*a*q - 1743*a*x**2 + 2*q**2*x - 2*q*x - x**2 wrt q.\nAnswer: 2*a*x**2 + 4*a + 4*q*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-15) + (-18)\/(-135).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -55*k - 66. Let g be 312\/182*77\/2. Let m(h) = h + 1. What is g*m(y) + p(y)?\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -320 + 323. Solve n*i - 24 = 9*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 858, 1298, 1736, 2172, 2606, 3038?\nAnswer: 3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, s: 3}. What is prob of picking 4 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/66 - (-21456)\/(-33). Let k be (15 - 18) + n\/(-218). Let j(b) = 4*b**2 + 66*b - 34. Let l be j(-17). Do l and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 954, 955, 958, 963?\n\"Answer: c**2 - 2*c + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*w + (1 - 2 - 1)*(-w + w - 2*w) + (-9 + 18 + 10)*(-15 + 15 - 4*w).\nAnswer: -70*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 267932871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/11)\/s)**33\/(s\/s**5)**(-17\/3) assuming s is positive.\nAnswer: s**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + 5*(-2 + sqrt(252))*-6 + 2)**2.\nAnswer: -22680*sqrt(7) + 230769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**3 - 9*c**2 + 7*c - 4. Let i(j) = -8*j**3 + 10*j**2 - 8*j + 5. Let y(l) = -5*i(l) - 6*p(l). Give y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.319 + -0.381. Sort 0, -2, d, -1 in descending order.\nAnswer: 0, -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n**2 - n - 1. Let s be m(-2). Let r be 2\/(-11) - 65\/s. Let f be ((-6)\/(-28))\/(r\/(-2)). Which is the third biggest value? (a) -1 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110001 - 1101?\nAnswer: -111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400312, 800629, 1200946?\nAnswer: 1601263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = -13*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 164 = 3*w, 3*o + 48 = 3*w - 81. Calculate the highest common factor of 84 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2848323 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01029985 - 5.\nAnswer: -4.98970015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -32*q + 31*q. Let w be 2*((-7)\/(-4) + 2\/q). Let j(b) = b**2 + 14*b + 3. Let f be j(-14). Solve 0 = -w*t + 12, v - 32 = -f*v - 4*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or -14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 671*u + 11296 + 4423 + 7095 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 6*j + 6. Let x be q(-7). Does 25 divide (-50)\/(x\/((-3)\/(-6)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2. Let i(s) = -17*s + 6. Let g(m) = -34*m + 15. Suppose 30 = 8*v + 46. Let b(n) = v*g(n) + 5*i(n). Calculate b(w(h)).\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.4 - -25. Which is the nearest to 1? (a) -5 (b) k (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 2*n - 3*t = -5, 3*t = -2*t + 5. Which is the second biggest value? (a) x (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*c - 402*c - 443*c - 410*c + 1793*c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -m + 273, m = -2*b + 30 + 246. Suppose 90 = -2*a + m. Suppose -2*w - a = -5*w. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1422*l - 1416*l = 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) -30\/439 (c) 2.4 (d) -5 (e) 0.01 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -87a06 (base 11) to base 6\nAnswer: -2423005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:06 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 673388*p**2. Let v(z) = -5*z**2. Give y(v(c)).\nAnswer: 16834700*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -230, 261, 0.\nAnswer: -230, 0, 1, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 606 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8386662857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 945595493 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -210 - -490. Suppose -2*p + o = -67, 0 = 4*p + 2*o + o - 149. What is the greatest common divisor of x and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h + 36. Let q be ((-4)\/h)\/((-16)\/(-24)). Which is the nearest to 1? (a) q (b) 0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 10 = -2*l. Suppose -30 = 5*n - 0*n + l*p, -6 = -5*n + 4*p. What is the tens digit of n\/3 - 47\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*g + 12*g + 2385. Calculate the remainder when g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3418 from -50972194647.\nAnswer: -50972194646.6582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c + 27*c - 851556 = -17288. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c**3 - 200796*c**2 + 544845*c + 172062 = 0. What is c?\nAnswer: -2\/7, 3, 9559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533646 is divided by 490?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0. Let y = -3 - -3. Suppose -4*u - 2*j - 2 = -y*j, 2 = -2*u - 2*j. Which is the smallest value? (a) 1\/4 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/1)\/((-6)\/(-8)). Let c = 7 - o. Suppose 236 = 3*s - 4*f + c, 5*f - 15 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.1751 years to decades.\nAnswer: 9.01751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-56)\/(-16))\/(3*2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 2418.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96465329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*b - 5*b = -1286, -b = 2*y - 1280. Suppose -y = -5*j + 359. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 - -14 - 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 90?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 + 13*u + 9. Let x(v) be the second derivative of -1\/12*v**4 + 0 + v**2 - 3*v + 1\/2*v**3. Determine -2*w(a) + 9*x(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/2)\/(14287\/8164)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-6 - 15) - ((-2 - 15) + 28).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.3 - 29. Which is the nearest to -2? (a) l (b) -0.9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 1\/12*r**4 - 1\/90*r**6 + 0 + 1\/3*r**2 + 1\/60*r**5 - 5\/18*r**3 - 4*r. Factor t(u).\nAnswer: -(u - 1)**3*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*m + 152*m + 16*m + 11*m in the form f*m + r and give f.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*26\/(-78). Let l = 0 + 0. Which is greater: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2869 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40200621 take away -0.67?\nAnswer: 40200621.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/50)\/(135\/1350)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.216 + 0.836. Let k = z + -90.82. Round k to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from gfmdf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -642431532 divided by -3\nAnswer: 214143844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 81*r - 85*r + 19 = 0, 31 = -5*a + 4*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9785187 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/78275 or 1?\nAnswer: -44\/78275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73\/3 - -25. Let x = 174.7 + -1.7. Let h = 175 - x. Which is the biggest value? (a) k (b) h (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u. Let m(b) = -479440*b. What is m(z(x))?\nAnswer: 958880*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-4 + 1*(sqrt(425) + 1) + -5)*-3 + 5)**2*-4 + -2).\nAnswer: -55998 + 10440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/2 - 921*q**3 + 163854*q**2 - 9428076*q + 50866704 = 0 for q.\nAnswer: 6, 126, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from qwz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 8*t + 4. Let q = -21 - -17. Let p be a(q). Solve 3*z + 7 = -p*h, -2*h - 2*z + 1 = 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7656360 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 30*v**3 - 7*v**2 - 13*v - 7. Let m(z) = -10*z**3 + 2*z**2 + 4*z + 2. What is -2*d(a) - 7*m(a)?\nAnswer: 10*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85721424*x**3 + 41478084*x**2 wrt x.\nAnswer: -514328544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -22 (c) -0.4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 39 + 3 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 273731573783.\nAnswer: -273731573780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 275803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -26*i**3 + 8661*i**2 - 1047*i + 15990. Give b(333).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-2)*(-188)\/(-3). Let d(l) = l**2 + 7*l. Let n be d(-7). Suppose -5*g - 4*t = -n*g - j, -g = 3*t - 52. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18)\/((-4)\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -210927*n*w**2 - 54*n - 1911 with respect to w.\nAnswer: -421854*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 17*b + 40. What is w(-9)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2072.29 milligrams to nanograms.\nAnswer: 2072290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 169*28\/35*10. Suppose 3*m = -3*y + 15023 - s, 5*m + 10 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*c = -13, -v - 3*c + 2 = 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596538 is divided by 149124.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 2. Let v(t) = -7*t + 8. Let o(q) = -4*m(q) - v(q). Let j be o(1). Factor -6\/5*s**2 + 4\/5*s + 0 + 2\/5*s**j.\nAnswer: 2*s*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666, -1155, -1644, -2133, -2622, -3111?\nAnswer: -3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11))**(-12\/5) assuming v is positive.\nAnswer: v**(24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5674 and 695967166.\nAnswer: 5674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1329 - 0.6\nAnswer: 1328.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3363 + -3366. Put 1\/17, -0.2, g in increasing order.\nAnswer: g, -0.2, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 4*c)*(4*c**2 - 2*c**2 - 3*c**2) + 0*c**3 + c**3 - 3*c**3 + 60*c**3 - 65*c**3 - 50*c**3.\nAnswer: -58*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039469 rounded to six decimal places?\nAnswer: 0.000395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003037 to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(28)*1)\/(sqrt(108)\/sqrt(3) + sqrt(36)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*p + 1948891 = 2443751 + 5952063. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -5.33053.\nAnswer: 1.066106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24758 + 26983. Calculate the remainder when y is divided by 112.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 6 - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7175.2 times 626.9\nAnswer: -4498132.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 2)*(0*t**2 - 6*t**2 - 3*t**2) + 4*t**2 - 5*t**2 - 2*t**2)*(-2*t + 2*t + 2*t**2).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(-1\/68))**(-23) assuming l is positive.\nAnswer: l**(-69\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, -2.81, 42, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 + 1 - 0) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 553297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 36. Suppose -5*c = q - 10, 2*c + u - 4 = -q. What are the prime factors of (-4)\/(-6)*((2 - -107) + c)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x**3 - 29 + 39*x**4 + 30*x**2 + 5 - 45*x**2 - 9*x. Let w(q) = 8*q**4 + 2*q**3 - 3*q**2 - 2*q - 5. Let y(u) = 5*d(u) - 24*w(u). Factor y(t).\nAnswer: 3*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 842 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254860693?\nAnswer: 199, 1280707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 7*i**2 + 6*i + 2. Let o be l(8). Let q = 29 - o. Let w(k) = -242*k - 471. What is the remainder when w(-3) is divided by q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98872625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.139.\nAnswer: 0.0417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21 + 29 - (-68907)\/15) + (-2)\/(-10).\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87048 and 3159?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 16 = -110*i + 114*i, 5*y = -i + 4. Let -18\/19*v + 22\/19*v**2 + 2\/19*v**3 - 2\/19*v**i - 36\/19 = 0. What is v?\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88) - sqrt(88))*-4*-4)\/((5*sqrt(600))\/sqrt(3)).\nAnswer: 16*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.6852ml in litres?\nAnswer: 0.7926852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 2836*t**4 + 10*t**2 - 12*t**2 + 5*t**3 - 4*t + 2857*t**4 to the form p + i*t**3 + g*t**4 + u*t + o*t**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 + 5*f + 4. Let d = -821 + 827. Calculate c(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3549200 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s - 79*s = 1468. Let q = -363 - s. Let b = 57 + -37. Solve 0 = q*w - 0*w - b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - z - 1. Let n be m(-1). Let b be 1\/2*24\/4. Suppose 4*i + 0 = 3*t - 11, b*t + 9 = 0. Is n smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y - 3*j - 555 = 0, -83 = -y - 5*j. What is the highest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -544 + 384.5. Let m = -160 - v. Which is the biggest value? (a) -1 (b) m (c) 1\/17 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/28 - 3*b**3\/7 + 27*b**2\/14 - 8*b. Factor a(h).\nAnswer: 3*(h - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**3 + 4*z**3 - 20*z**2 - 8*z**3 to the form c*z**3 + b*z**2 + v + j*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0629632l?\nAnswer: 62.9632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3285\/1095*22\/10*25\/(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1 + 2*r - r**3 + 9*r**2 + 2*r - 3*r. Let w be (-8)\/4 + 7 + 4. Let a be h(w). Solve m = -m + a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {s: 1, y: 3, p: 6, t: 2, v: 2, z: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-7) - (15\/(-105) - 1831877\/7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let w = 3 - 3.2. Let d = -5.6 + 5.3. Which is the second biggest value? (a) w (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 164 + 11. Let h = 53 - s. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/252 and -79\/972?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y. Let h(o) = o**3 + 2*o**2 - 3*o - 3. Let c be h(-3). Give f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {h: 2, s: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0*c**2 - 30*c + 3\/40*c**5 + 0 + 0*c**3 + 1\/8*c**4. Factor j(k).\nAnswer: 3*k**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95.23018 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nssrssssggsssnrn.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - 6515\/49. Let z(v) = -v - 1. Let x be z(-4). Suppose 0*f = x*f. Which is bigger: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -21. Suppose -4*j = -18 - z. Let f = j + -6. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2633650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -p - 2, -c + 2*p = 6*p + 8. Suppose -683 = -2*w - 5*m - c*m, -4*w = 2*m - 1390. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y = 4*y - 186 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 4\/7 (b) -3 (c) -0.4 (d) -401\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1463457\/7657140 + 2\/(-8) + (-67)\/(-1139). Is w less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 7. Let p = k + 7. Let w be ((-6)\/p)\/((-18)\/60). Solve -12 + 4 = w*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.93 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*t - 1\/8*t**2 + 1\/4 = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.03 - 0.03. Let u(o) = -2*o**3 + 3*o**2 - 2. Let q be u(5). Let k = q - -881\/5. What is the closest to z in k, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*q - 12, -19 = -0*y + 2*y + 3*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 11418 - 2*l + 11418 + 4*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, t: 2, a: 3, k: 4, n: 6, p: 1}. Give prob of picking 1 k, 2 n, and 1 a.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37444.6335 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 946068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*f = 5184 - 1324 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-9))\/(-2 + (-35)\/(-21)). Let j(r) be the second derivative of -4\/3*r**3 - r**2 + 16*r + 0 - 1\/12*r**p. Determine j(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021328 rounded to six decimal places?\nAnswer: 0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 10*d + 12. Let i be m(-10). Let l be 2 - (-20)\/(-4) - i. Calculate the remainder when 55 is divided by 10\/l*(-18 - 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*(sqrt(4400)*-2 + sqrt(4400) - sqrt(176)*-3) + 0))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 1930*p**3 + 13180*p**2 + 32170*p + 17055.\nAnswer: 5*(p - 379)*(p - 9)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let z(b) = -2*b**2 - b**2 - 5*b**2. Determine r(z(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 13*s**2 + 7*s + 5. Let r be p(-7). Solve -5*j - 5 = r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24755302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 4:04 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -18*u**2. Let k(z) be the second derivative of z**4\/12 - z. Determine h(k(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.2, 2\/77, -4, -111126?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 615*p**2 - 308*p**2 - 306*p**2. Let m(d) = -d**3 - 6*d**2 - 6*d. What is m(b) + 6*u(b)?\nAnswer: -b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 5*n - 5. Suppose 10*y - 154 = -12*y. Let u(i) = i**2 - 4*i - 4. Suppose -b = 3*p - 9, -5 = b - p + 6. Give b*l(a) + y*u(a).\nAnswer: a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2264 - 94*g**2 + 959 + 96*g**2 to w*g**2 + z*g + h and give h.\nAnswer: 3223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 12*q - 5. Determine x(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*a - 3360*a - 1406*a - 281592 = 0 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 + 9*u**4 + 11250*u**3 + 78060*u**2 + 177768*u + 133056 = 0. What is u?\nAnswer: -56, -3, -2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1567, -2274?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1209 - 1208.9. Sort -3, 54, z, 4 in decreasing order.\nAnswer: 54, 4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -30*(-4 - -3)\/9 - 3. Let j = 11.72 + -6.72. What is the nearest to -0.3 in 2, j, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 165*f**2 - 7765*f + 470.\nAnswer: 5*(f - 47)*(33*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35264 and 8816?\nAnswer: 35264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1985.7 and -237.\nAnswer: 470610.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 13*z**2 + z - 8. Let h be i(13). Suppose -a + 5*q + 4 = 2, 0 = 5*a + 4*q - 10. Suppose -y + a = -h. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 8 = 0. Suppose -i*f - f = 4*d - 29, -2*f + 26 = 4*d. Sort -5, -4, f.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3275*w**3 + 4*w**2 - 2*w - 22. Let s(q) = -121175*q**3 - 150*q**2 + 75*q + 825. What is -75*d(b) - 2*s(b)?\nAnswer: -3275*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 740?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s**3 - s**2 - 2*s + 2. Calculate w(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655928 divided by -11713?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1380\/(-1035))\/(14\/9).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2183922 by 1989.\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**3\/2 + 19*z**2 - 546*z. Let w(v) = -2*v**2. Determine g(w(u)).\nAnswer: 6*u**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3861 + 2616. Let s = u - -1239.57. What is s rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a - 33. Let d be f(-4). Put d, 1, 5\/2 in descending order.\nAnswer: 5\/2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:32 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = s - 9, 5*s - 15 - 12 = -4*a. Let n(v) be the third derivative of -v**5\/30 + v**4\/6 - v**3\/6 + 59*v**2 - 2. What is n(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**2 - 2*o + 3*o + 0*o - 9*o**2 + 21 - o**3. Let g be x(-15). Calculate the greatest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**14*u\/(u**(-21)*u)*u*u assuming u is positive.\nAnswer: u**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 15*m**2 - 9*m - 10. Determine u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*a + 132*a - 37*a**3 - 18*a**2 wrt a.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*l + 13792 = 4782 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 246 = -231, -5*i - 4*h = -169235. Is i a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/77 or 6?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 2, i: 1, r: 4}. What is prob of picking 2 u and 1 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 1.17\nAnswer: -0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, -1178, -3338, -6362, -10250?\nAnswer: -15002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -63. Let v = 52 - u. Suppose -v*b + 3*a + 4 = 2, -3*b - 5*a + 16 = 0. Solve -l - 2 = -3*n + 4, 0 = b*n - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9050, -9060, -9070, -9080?\nAnswer: -9090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q*q\/(((q\/(q\/((q*q**(6\/11)*q)\/q)))\/q)\/q))\/((q\/q**2)\/q*(q\/(q\/((q**6\/q)\/q)))\/q) assuming q is positive.\nAnswer: q**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**3 + 2*c**2 + 2*c - 2. Let p(j) = -j. Let q be p(2). What is the remainder when z(q) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/75)\/((-1)\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39381 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 468108721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652, -653, -654, -655?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 - 8*j - 4. Let u(h) = -3*h**2 - 8*h - 3. Let w(b) = b**2 + 82*b + 85. Let f be w(-81). Calculate f*u(a) - 3*r(a).\nAnswer: -3*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*92\/(5060\/825).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n - 1. Let l be t(1). Let b(m) = m + 7. Let x be b(-5). Suppose l*z - x*z + 118 = 0. What is z rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 4*g - 14. Suppose 0 = -2*u + 14 - 0. Let j be l(u). Solve -5*z = n + 30, -2*n = -j*n - 3*z - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, 11, 5, -2, 2 in ascending order.\nAnswer: -2, 2, 5, 11, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 317.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5507 - -5940. What is the remainder when y is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -382 and 0.6.\nAnswer: -381.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, i: 4, n: 3}. What is prob of picking 2 n and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 12164081.\nAnswer: 12164078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3 + 0 + 29*q**2 - 5*q**2 + 2 - 1. Let c(k) = -63*k**2 - 2*k. What is c(y(s))?\nAnswer: -36288*s**4 + 6000*s**2 - 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1057 * -5.\nAnswer: 5285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145819942, -145819934, -145819910, -145819864, -145819790?\nAnswer: -145819682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20746 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 491089456 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 28, -57, -1, 2 in ascending order.\nAnswer: -57, -17, -1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 less than 1.304?\nAnswer: -49.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48147 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: Simplify 3*(1*(sqrt(300) + -2 + 0 + (sqrt(300) + 2 - sqrt(300) - sqrt(300))*-5 + 1))**2.\nAnswer: -3960*sqrt(3) + 32763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -288, 0, 2, -268, -950.\nAnswer: -950, -288, -268, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-75) - 66727\/(-1038675).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 44*a**2 + 24*a + 386. What are the prime factors of j(-9)?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 x when three letters picked without replacement from iukcikiuxxxklc.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 29*a**2 + 94*a - 74. Give p(-32).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 - -190.97002\nAnswer: 190.51002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -93. What is the nearest to r in 3, 23, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 + 121. Let a be (410*12\/18)\/(d\/12). What are the prime factors of (a\/(-30))\/(1\/3)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4294464 divided by -44734?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3*j**2 + 7*d**3*j*m - d**2*m - 11617*j**2*m + 1357019 wrt m?\nAnswer: 7*d**3*j - d**2 - 11617*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6521 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 13\/5, -4, 2.1, -502, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 3 - 4\/2. Let n(p) be the first derivative of -p**4\/4 - p**3 + 2*p**2 + 7*p - 2. Is n(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220191 + 220191 + a**3 + 35*a + 484*a**2 - 484*a**2.\nAnswer: a**3 + 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-561)\/(-564) - 0 - 1. Let t = h + -181\/1316. Let x = 3\/28 - t. Which is the nearest to -0.1? (a) x (b) -2\/23 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5185 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15895819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-141*a**4 + 404*a**3 - 404*a**3)*(7 - 3 + 2) as i + c*a + w*a**3 + u*a**2 + z*a**4 and give z.\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814527399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8667, -15, 3\/11, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149178499 divided by -1.\nAnswer: -149178499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**3\/4 + 15*a**2\/4 - 65*a\/4 - 75\/4 = 0. What is a?\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 266*h + 7055. Determine r(-37).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 9693117.\nAnswer: 9693117.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11336 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1028 + -948. What is the greatest common divisor of r and 560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -164749, -164672, -164593, -164506, -164405, -164284?\n\"Answer: r**3 - 5*r**2 + 85*r - 164830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/8)\/(-1))\/((64\/4)\/(-448)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 + 1385256*i**4 - 1385248*i**3 - 4155764*i**2 + 1385250*i + 2770508 = 0. Calculate i.\nAnswer: -1, 1, 2, 692627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188125225.\nAnswer: 5, 113, 66593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 33*k**2 - 32*k + 75. Suppose 0 = 28*p - 126*p - 3332. Determine l(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9422 + 9462 - (25 + 1 + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*z + 5, 0 = -5*p - 0*p + 4*z + 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/16)\/(93\/(-6)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10245802785 and -3?\nAnswer: 10245802782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 + m**2 - m. What are the prime factors of q(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t + 16*t + 4*t + 2 - t - 4 to m + w*t and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*700.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 + 5*y**2 - 3*y + 10. Let h be t(-5). Let d = 120 + h. Let u = -99 - d. Is 6 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*d + 3080, 27*b + 2310 = 30*b - 5*d. Solve -b = 2*z - 780 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(495\/50)*13\/2*30192\/81770.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34182664, -34182669, -34182676, -34182685, -34182696, -34182709, -34182724?\nAnswer: -34182741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 4*v**2 - 4*v - 7. Let l(k) = 3*k**3 - 5*k**2 + 4*k + 8. Let g(s) = -3*l(s) - 4*t(s). Determine g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2361, 2348, 2327, 2298, 2261, 2216, 2163?\n\"Answer: -4*m**2 - m + 2366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h**3 + 9*h**2 + 14*h - 75. Let d be x(-25). Round d to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 5013?\nAnswer: 5010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1584 + 2802. List the prime factors of a.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 739 - b?\nAnswer: 72d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5439? (a) 5\/57 (b) 0.2 (c) 0.3 (d) -1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059417693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 183*t - 1390. Give s(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h = 38*h + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of (-17)\/(-119)*36841*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648 is divided by 2632.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788a174 (base 11) to base 9.\nAnswer: 28003387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8374968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1221\/(15 + 8 + -20). What is the greatest common divisor of o and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259971531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1401176, 2802401, 4203624, 5604845, 7006064, 8407281, 9808496?\nAnswer: 11209709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 43 = i, -3*w + 2*i + 21 = -37. What is the highest common divisor of w and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.2 - 3.2. What is the nearest to -2 in j, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 14*f - 5*p = -10, 3*f - 4*p = -15. Let c(v) be the second derivative of 1261*v**4\/6 + v**3\/2 + v**2 + v. Is c(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6286031\/322 - -19522. Let y = w + 3\/322. Is 0 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6442*k + 154616. Calculate h(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/966 and 5\/221214?\nAnswer: 221214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b169 (base 13) in base 8?\nAnswer: -506474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 233531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*t + 48816 - 25068 - 23749.\nAnswer: -65*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 11*v**2 - 16*v + 22. Let h be d(12). Let q be (-15)\/20 - (-1)\/(-24)*h. Which is the nearest to 2? (a) q (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -9*w + 41. Let h(r) = r**2 - 4*r + 7. Let j be h(w). List the prime factors of (-54)\/(-3)*8 - (j - 11).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0.552?\nAnswer: 3.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -10. Let b = 17.231 + -17.031. Sort 0.36, b, 3\/2, h in decreasing order.\nAnswer: 3\/2, h, 0.36, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 1 + 0 - 2 + 0 + (-2 - 2 + 3)*(-2 - 5 + 5) - 2 - 3 + 4 - 1 + 2 - 2)*(32*i - 14*i - 12*i) as m + h*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 112, 962, 3266, 7750, 15140?\n\"Answer: 121*a**3 + a**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zddm when four letters picked without replacement from zzdmmzkmdmd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4190854?\nAnswer: 2, 151, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q - 28. Suppose 3*g + 2 = -2*y - 1, -g - 8 = 3*y. Let r be x(y). What is k in 4\/3*k**r + 2\/3*k - 2\/3 = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) + (-1*sqrt(1008) - sqrt(1008)))*3 - (-1 + sqrt(1008))*-2) + (sqrt(1008) + -1 + 0)*3)**2.\nAnswer: -1080*sqrt(7) + 81673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 9*x**2 + x. Let p be t(9). Suppose -4*c = -p*c. Suppose c = -4*u - 0*u + 8. Solve b = -b - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 48\/20 + (-6)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4681*z**2 + z. Let o be c(1). Suppose -4*m + 32 = -5*d, 6 - 7 = -3*m - 2*d. Let n be 2\/(-3) + o\/m. Round n to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*n + 1567 + 799, 0 = -2*n - p + 949. Sort -5, n, 1 in increasing order.\nAnswer: -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003792 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9648, -9616, -9566, -9498, -9412?\n\"Answer: 9*o**2 + 5*o - 9662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243618 and 2451?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-20)\/h))\/(h*h**6)*(h**(-31\/3))**(-26) assuming h is positive.\nAnswer: h**(851\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**(1\/91)\/(p*p**(-1))**(-1\/2)*(p*p**(-2\/15)*p**(-3\/4))**(3\/11) assuming p is positive.\nAnswer: p**(173\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 7 - (2 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161910*u**2 - u + u - 161911*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/7 (b) -24 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*c = -5*c - 3, -2*d - 606*c = -613*c - 26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 960 and 1695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {g: 1, k: 3, j: 3, t: 2, b: 3, o: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let v be 2\/((-5)\/((-180)\/8)). Calculate the remainder when k(v) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-84)\/12 + 8)*(0 + 496). What is the greatest common divisor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 + 6*u - 9. Suppose -6*p + 2*p = -24. Determine r(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12380319781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19021 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 1876770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((-54)\/81).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 18231*r**2 + 12524*r**2 + 1.\nAnswer: 30755*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28988, -29000, -29024, -29066, -29132, -29228, -29360, -29534?\nAnswer: -29756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349*g**3*q**2 + 5308*g**3*q + 2654*g**2*q + 2*g**2 - g*q**2 + 2*g*q + 97*q wrt g.\nAnswer: -2094*q**2 + 31848*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttw when four letters picked without replacement from wwwtttwttwwtttwtwttw?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 18*n**3 - 14*n**2 + 4*n. Let t(b) = b**3 + b**2 - b. Let y(q) = l(q) + 4*t(q). What is the third derivative of y(j) wrt j?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 9 + 15 + (-776)\/76\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-12))\/((-75)\/36)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 754 times -4887\nAnswer: -3684798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-27)\/576). Suppose -4*y + 48 + l = 0. Solve -3*p = -8*p + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-192) + (-10904)\/4512.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 - v - 3. Let a be u(0). Let m(b) be the second derivative of -b**3 + b**2\/2 - 3*b. Let w be m(1). Sort 2, a, w in decreasing order.\nAnswer: 2, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 26 - 38*s + 8 + s**2 + 42*s. List the prime factors of q(15).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3872 and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 + 341. Suppose -c = -38*g + 36*g. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061516723 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(205\/11726*13)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v + 6. Let p(a) = -2*a + 1. Suppose 9*n = 29 + 7. Let k be (4 - n) + -32 + -2. Determine k*p(z) + 6*s(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 268 + -267. Let h be 615\/12 + 2 + 0. Let q = -53 + h. Which is the second biggest value? (a) q (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.826 - -5.90603. Let y = b - 0.08. What is y rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1751 - 2?\nAnswer: 174f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5870 and 508322042?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 833878477 to the power of 1\/3, to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = -c + 5*k, 3*k = -4*c + 8. Solve -c*n + 1 = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzqqqqqqrilpplill. What is prob of sequence qzi?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - (-2 + 3 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 7:38 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40426 or -40417?\nAnswer: -40426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 26*w**3 - 14*w**3 + 61 + 48 - 14*w**3 - w**2.\nAnswer: -54*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.451? (a) 1\/2 (b) -1 (c) 0.1018 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(380)*1)\/sqrt(10) + (sqrt(38) - (-1*sqrt(76))\/sqrt(2)))\/(sqrt(288) - -2*(sqrt(288)*-2 + sqrt(288))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4 (c) 2\/9 (d) -3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, x: 3, e: 4, r: 2, p: 1, h: 2}. Give prob of picking 1 m, 1 p, and 2 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by 54.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1439297*-1\nAnswer: -1439297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyht when four letters picked without replacement from {y: 6, t: 4, h: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a + 2. Let i(m) = 10*m + 3. Determine -2*i(w) + 3*k(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 453 and 18?\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1383*i - i**3 - 1383*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -14549, -5, -1824 in descending order.\nAnswer: -5, -1824, -14549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/17)*m*m*m\/(m*m\/m**(-2)*m*m)*((m\/m**(-2\/3))\/m)**(-33)*m**(-1)*m**(1\/2)*(m\/(m*m**(4\/3)\/m))\/(m\/(m**1\/m)) assuming m is positive.\nAnswer: m**(-2725\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, -1\/5, -0.47, -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 903678194 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -3, 4, 1 in descending order.\nAnswer: 36, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 1. Let b be q(-1). Let o(i) = -i + 4. Let g be o(4). Suppose 5*m + 5*u - 25 = g, 0 = -u - 0*u + 1. Solve m*v - 9 - 7 = b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1080 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6777 - 2650. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**3 - 7*g**2 + 5*g - 5. Let k(x) be the second derivative of 11\/12*x**4 - 4\/3*x**3 + 3\/5*x**5 + 0 - 10*x + 4*x**2. What is 8*f(d) + 5*k(d)?\nAnswer: -4*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 776*q + 6*q**2 - 25*q**3 + 2328*q - 773*q - 777*q to y*q**3 + m*q**2 + h*q + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*a**2*s**3 + 2*a**2*s**2 - 16*s**3 + 3*s wrt a?\nAnswer: 32*a*s**3 + 4*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p + p - 4*p + (3 - 2 - 7)*(3*p - 3*p + p) + 3*p - 9*p + 0*p in the form c*p + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 6259*i**2 + 245662*i - 251920 = 0. What is i?\nAnswer: -40, 1, 6298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 + 2*v**3 + v**4 + 33*v - 21*v - 15*v - 1 + 0*v**4 to the form x + c*v**4 + q*v + k*v**2 + u*v**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - (-70 + 36 - -44)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-15 + 7 - 9)) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*-3*sqrt(170))\/(sqrt(10) + 3*3*sqrt(10)).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/6)\/(1\/3). Let s(p) = p**3 + 10*p**2 - 12*p + 8. What are the prime factors of s(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c559e - 9?\nAnswer: -c55a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 152*z - 107*z + 135 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 335 = -v - 318, 0 = -5*u + 5*v - 70 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -102?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-7))\/((-9646)\/303849)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (10 - 15 - 17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 6:31 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + -1 + (-87 - -40) + 47\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968 + 959 - 3858 + 967 + x + 964.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018036223.\nAnswer: 3, 7, 127, 252223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 5*y**2 - 4*y + 19. Let c be d(-6). Let q = 81 - c. What is the greatest common divisor of q and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1. Let l(q) = 2*q - 1. Suppose 5*j = 4*j + 1. Determine j*l(m) - 2*h(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/(9\/48). Suppose 2*d - 2653 = -i, d - 1313 = -r*i + 3*i. Let a be d\/432 + 0 + -3. Are a and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d\/(d*d*d*(d*d**(-14))\/d*d))\/d)*d))\/(d\/((d*d**0)\/d*d)))**21 assuming d is positive.\nAnswer: d**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23533*l**2 + 3*l**3 + 21552*l**2 - 2*l - l**3 - 2 - l + 2*l to p*l + t*l**3 + h*l**2 + z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1616\/202 + (-9 - (3 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 1, c: 1}. Give prob of picking 1 x and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2379)\/(-3172))\/(8\/(-20) + (-119)\/40)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-15))\/((-21)\/(-70)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3151 and 74382?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + t = 12, 3*t = 4*y - 25 + 1. Let m = y + -3. Is 6 a factor of 51\/2*2\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10231023 - 1213?\nAnswer: -10232302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -6632*k**7\/7 - 100*k**3\/3 + 9*k**2 + 4806. Find the third derivative of j(h) wrt h.\nAnswer: -795840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 8:23 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 4572*f**2 + 2322576*f - 393289536.\nAnswer: 3*(f - 508)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/5 + 795\/(-3)*-1. Let n = -1061\/4 + p. Which is the second biggest value? (a) -1 (b) 3 (c) n (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqf when three letters picked without replacement from fiqfukkiiikfi?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -1377 + 761. What is the remainder when s is divided by 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -1\/6 (c) 23 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 90. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 344995?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673267.\nAnswer: 101, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 3*t = 45 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1335d - -3?\nAnswer: -1335a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 11. Give a(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*g = -17*g + 4*g - 315. Which is the closest to -2? (a) 1\/5 (b) g (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2 - 23, 2*g = -4*n + 174. What is the least common multiple of g and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -5\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*h - 116, -3*w + 10 - 141 = -2*h. Calculate the remainder when 179 is divided by h.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(32))**2*-5 + -5.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v\/v**(5\/4))\/(v*((((v\/v**(-4\/5))\/v)\/v*v)\/v)\/v*(v**(-2\/7)*v)\/v)*v*v**3*v**(2\/9)*(v**(-8)*v*v*v*v)\/(v\/(v*v**(3\/5))) assuming v is positive.\nAnswer: v**(1333\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (1 - -15)) + 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -17. Solve a*f = -1 + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3369 - -3368. Which is the nearest to -3\/191? (a) -5 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -476707 + 0*m**2 + 476705 - 2*m**2 - m - 7*m + 26*m**4 - 6*m**3 - 2*m**3 to v*m**2 + s + b*m**4 + x*m**3 + t*m and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759211 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 32*c + 303. Let s(y) = 14*y + 152. Give -2*l(b) + 5*s(b).\nAnswer: 6*b + 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 6. Let b be h(5). Suppose -u = -3*q + q + 341, q - b*u = 188. Let l = -78 + q. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 2*q**3 + 49*q**2\/2 - 2*q - 20. Let z(o) = 3*o + 12. Determine 2*y(b) - 9*z(b).\nAnswer: -3*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 3*f**2 - 12*f + 12.\nAnswer: 3*(f - 2)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1005104379 to the nearest one million.\nAnswer: 1005000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14035.4 take away -1?\nAnswer: 14036.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ab0 (base 12) in base 5?\nAnswer: -340230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874286.\nAnswer: 2, 7, 197, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480902 and 3984.\nAnswer: 11541648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 620 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2479 - 2486 - 2487 - 588*o + 7455 to s + z*o and give z.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -18*d - 19. Let j = 116 + -115. Let m(a) = a. Let u(o) = j*l(o) - 2*m(o). What is the derivative of u(x) wrt x?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 1\/3*i**3 + 0 - 4*i**2 + 1\/4*i**4 + 1\/60*i**5 + 0*i. Let t = 11 - 17. Give l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:05 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113973\/2 or 56988?\nAnswer: 56988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 413*o - 408*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1075108 and 36.\nAnswer: 9675972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + -1*sqrt(28).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)\/sqrt(10)*-2 - (5 + 0 + sqrt(18)).\nAnswer: -11*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r + 51. Calculate u(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.6 + -64. Let a = -29.6 + i. Let h = -37.9999958 - a. Round h to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 10 + 45. Let f be ((-2)\/o)\/(6\/66). Suppose 3*x - 2 = -v, -4*x + 2 = -v - 10. Solve -f*r + 20 = 2*r, -2*r = -x*b - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -823, -1234?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4299\/34520 + -2\/4315. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 - 640135185?\nAnswer: -640135434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7 - 5 = 0. Is o*(-129)\/(-27)*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 6 + 8. Find the second derivative of 4*p**3 - 3*p**2 - 5*p**2 + 13*p + 8*p**z wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 54248305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -21*x - 15. Calculate t(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 882.588 - -0.412. Let p = 882.66 - r. What is the second smallest value in p, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54919891 to the power of 1\/2, to the nearest integer?\nAnswer: 7411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*f - 7. Let c = f - 2. Let g = 3 + c. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.03 (c) 2 (d) -0.6 (e) -2\/311 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.0573\nAnswer: 0.1719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:10 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let s(p) be the third derivative of -p**4\/24 + 173*p**3\/3 + 269*p**2 + 2. Give s(i(q)).\nAnswer: -2*q**2 + 346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.962 - -0.028. Let n = 0.01 + q. Let s be ((-20)\/(-6))\/(46\/(-69)). Which is the nearest to 0.5? (a) s (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b61ab (base 13) to base 7.\nAnswer: -2533200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 4*n - n - 15*n for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + (-24 - 18 - 17) + (15 - 0)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f + 4 + 7\/2*f**2. Let u(b) = -b**2 + 10*b - 10. Let l(h) = -4*h + 4. Let o(s) = 5*l(s) + 2*u(s). Determine o(g(c)).\nAnswer: -98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/u**(2\/5))\/(u**0)**(-28) assuming u is positive.\nAnswer: u**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 61*o + 117. Let d be f(-2). Put d, 12, -11 in decreasing order.\nAnswer: 12, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 148 - 2*5\/(-10). Let z = 80 - t. Let y = -56 - z. What is the highest common divisor of 39 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 194*g + 2003. What is v(-87)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1750 - -5?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z + 23*z = 695244. Is z a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 3*y)*(-5*y**3 - 12088*y + 6041*y + 6041*y).\nAnswer: -10*y**4 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 208 and 4?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 4\/5 (c) -16 (d) 5 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115707 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 3*a**2 - 35 + 7*a**2 - 15*a**2.\nAnswer: -a**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20494699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5617513 is divided by 6801?\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + (-1 + (sqrt(171) - -1*sqrt(171)))*5))**2.\nAnswer: -1920*sqrt(19) + 273664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-37)\/(-2) + -3)\/(-7) and 21\/(-60) - 6\/15?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 26 = -i, 0*t - 2*t - 5*i = 0. Suppose -t*s = -15*s. Suppose d + 57 - 526 = s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -24. Let j(g) = g**3 - 3*g**2 - 5*g + 3. What is the remainder when j(6) is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 5*q - 5*q**2. Let h(f) = -9*f**2. Calculate h(t(u)).\nAnswer: -225*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 10:19 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4738694, -4738684, -4738674, -4738664, -4738654?\n\"Answer: 10*p - 4738704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**8\/1008 - r**7\/18 - 209*r**6\/180 - 152*r**5\/15 - 20*r**4 + 1660*r**2 + 2*r. Let p(b) = 0. Calculate b.\nAnswer: -12, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let f be (-102)\/9*(-6)\/4. Let s be 1\/4 - f\/4. Sort s, 5, l in increasing order.\nAnswer: s, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3987*p**3\/4 - 425*p**2\/2 + 2*p.\nAnswer: -p*(9*p + 2)*(443*p - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 96.42343 tonnes?\nAnswer: 96423430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwox. What is prob of picking 1 o and 2 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from pxwwopcx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*c**4 + 6340614*c - 194789526.\nAnswer: 84*c**3 + 6340614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 4*h - 2. Let i be w(-3). Let d be (-1)\/4 - (-5)\/20. Suppose d = -x - 2*x. Which is bigger: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 21. Let x(z) = -z**3 + 9*z**2 + 10*z - 3. Let d be x(c). Let s = d + 18. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.093 + -0.093. Let t(o) = 131*o + 2. Let b be t(-2). Let s = 2858\/11 + b. What is the closest to v in -5\/2, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 11*o - 7*o - q, -3*q - 2 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f. Let y be 8\/(-20)*-1 - 78872\/(-20). Let h(n) = -y - 12*n + 3944. Calculate q(h(s)).\nAnswer: 72*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + -0.3. Let u = 0.6 - 0.7. What is the closest to u in 3\/5, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 93*q - 151. What are the prime factors of j(16)?\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790935093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 0.06, -3.1, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -358.8 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -104, -150, -246, -410, -660, -1014, -1490?\nAnswer: -2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + 3*n)*(-2*n - 3*n + 3*n) - 4950*n + 5030*n + 0 + n**2 + 1 - 3*n**2 - 3*n**2 + 4*n**2.\nAnswer: -7*n**2 + 80*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*((sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(6) - sqrt(2)))**2.\nAnswer: -12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22249809037\/2444 - 9103850. Let v = 1\/188 - g. Which is the third biggest value? (a) -1\/5 (b) v (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 15405095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*x - 16*x - 110*x.\nAnswer: -172*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459359 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -6 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 1, d: 2, m: 3, z: 3, i: 2}. What is prob of picking 2 i and 1 l?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-18))\/((-4)\/(-8)). Let f = -0.00091 - -6.00091. Sort 1, k, f in increasing order.\nAnswer: k, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367123 rounded to the nearest 1000?\nAnswer: -1367000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 4. Let f be q(5). Let c be (3 - f)*10\/8. Suppose 2*l + s - 11 = 0, 0 = -4*l + 3*l - c*s - 8. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 7*f + 4. Let i be v(-4). Let w = -6513\/15796 + -7\/359. Let m = 2\/11 + w. What is the smallest value in m, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 25. Let v = 77 - w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v + 40*v + 15*v to the form d*v + q and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, 29, -5, -4.\nAnswer: -5, -4, -3, 23, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -759.9 - -760. Let m = -11 - -7. Let p = -43.2 + 43. What is the nearest to -1 in m, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + ((20 - 12) + -4 + -3 - -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1068536.\nAnswer: -1\/1068536","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*((-23)\/((-7475)\/78))\/(3\/5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*g**2 - 22*b**3*s + 23*b**2*g**2*s + 3*b*s wrt b?\nAnswer: -12*g**2 - 132*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303941005.\nAnswer: 5, 19, 3199379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 113183.33 rounded to the nearest one thousand?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3510, 7830, 12142, 16446, 20742, 25030, 29310?\nAnswer: 33582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 7*a + 1 + 0 + 4 - a**3 + 4*a**2. Let x be t(3). Solve -r + 4*o + x = -o, -5*r + 5*o + 30 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 14 - 52*u**3 + 203*u**3 + 3 - 2*u + 4 as l*u + o*u**3 + a*u**2 + b and give o.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/9 - 4150*b**4\/9 - 2150734*b**3\/9 + 2159038*b**2\/9 + 716912*b\/3 - 239432 = 0. Calculate b.\nAnswer: -1038, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 3*o**2 - o**3)*(-14*o - o + 8*o) + (3*o**4 - o**4 + 0*o**4)*(4 - 1 - 5) - 3*o**4 + 0*o**4 + 2*o**4.\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -676943.83 and 74489.4?\nAnswer: 751433.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5999 + -5999. Which is the third smallest value? (a) -0.3 (b) 2\/27 (c) 2\/11 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**3 + 68*j**2 + 6*j + 141. Give o(-17).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 - 4 = 2*l, -d + l + 6 = 0. Suppose -d*n = 4*h - 37348, 61*h - 9355 = 60*h - 5*n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134 + 10544*o**4 - 19936*o**4 + 13093*o**4 + 4*o**2 - 2*o wrt o?\nAnswer: 88824*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 - -5. Let m = -2.3 + q. Let u = -5.62 + 5.22. Sort u, m, 1\/6 in descending order.\nAnswer: 1\/6, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*g + 4*g. Let f = -8 - -6. Let d be (-10)\/f + -4 + 3. Calculate the greatest common divisor of d and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0 - 2 + 3 + 1 + (0 + 0 + 2)*(1 + 0 - 3))*(0 + 5 + 0)*(101*g**2 - 331*g**2 + 46*g**2).\nAnswer: -920*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582 = -89*j - 315 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + (3 + (1 + sqrt(567) - sqrt(448)) - 1*(-3*(sqrt(84) - (sqrt(84)*-1 + sqrt(84))) + sqrt(84))\/sqrt(12))))**2.\nAnswer: 192*sqrt(7) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20192\/(-576) + 35 - ((-13)\/(-6) + -2). Let w = 4 + -3.5. What is the nearest to g in -2\/3, w, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3\/4 - 459*d**2 + d\/4 + 459 = 0.\nAnswer: -1836, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = -2*p + 7, 0 = p - 5. Which is the closest to 1\/18? (a) m (b) 6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2987*y + 5*p = -2988*y - 239, 8*y - 2*p = 104 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -44.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - -3 - 106 - (-8 - (8 + -5)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/6 - 509*b\/6 + 7965 = 0.\nAnswer: -590, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14) - 60\/63)\/(27200\/2550).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b393 - 6d4?\nAnswer: 2aa9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10951 divided by 1.\nAnswer: -10951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -37*t**6\/60 - t**4\/24 - t**3\/6 - t**2\/2 - 3*t. Let r(y) be the first derivative of o(y). Is r(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 20335.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -b4?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 - 267*r**2\/4 + 5553*r\/4 - 14337\/4.\nAnswer: 3*(r - 59)*(r - 27)*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 1. Let n(y) be the third derivative of y**3\/3 + 5*y**2. Let r(b) = n(b) - 2*p(b). Let h(j) = 5*j**2 - 3 + 3. What is r(h(g))?\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + 2*u - 2*u**3)*(-1 + 2 + 0) - 2*u**3 - 2*u**3 + 25*u**3)*(0*u**2 + 9*u**2 + 9*u**2).\nAnswer: 342*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 3*l + 15. Let h be s(3). Let w be (h\/(-6))\/(5*3\/60). What is the second derivative of 9*z - 3*z - 2*z + 35*z**w wrt z?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1060920 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 22, 4, 0, -5 in descending order.\nAnswer: 22, 5, 4, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -765 + 2168. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15182743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 5*b**2 - 4 + 15.\nAnswer: -3*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0430477 + 0.1430477. Let a = -1.5 - -2. What is the closest to 18 in a, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -575 - -577. Suppose 2\/7*n**r - 2\/7 + 2\/7*n - 2\/7*n**3 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00521692883 rounded to 7 dps?\nAnswer: 0.0052169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1274*o**3 + 1505*o**2 + 472*o + 16 = 0 for o.\nAnswer: -4\/7, -1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 524603808*m - 137984467 wrt m.\nAnswer: 524603808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 2)\/(6\/(-6)). Suppose a + 0*f - 255 = -5*f, 5*a = -u*f + 1275. Suppose -14*n + a = -9*n. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 219*c. Let y(l) = -2*l**2 - 3*l - 194159. Give y(d(v)).\nAnswer: -95922*v**2 - 657*v - 194159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -18*j**2. Let p(g) = 270*g. Calculate n(p(q)).\nAnswer: -1312200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 46 + 360*p + 20.\nAnswer: 360*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 8*f**2 - 11*f - 5*f**2.\nAnswer: 3*f**2 - 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + d + 3269 = -1299, 0 = 2*v + 5*d - 3068. Suppose 12*k - v = -0*k. Suppose p = -3*t + 247, 5*t + 96 = p - k. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 2*c + 2*c)*(4 - 5 - 2)*(-c**2 + 0*c**2 + 2*c + 2*c**2) + 7*c**3 - 7*c**3 - 2*c**3 as a*c**3 + r + m*c**2 + u*c and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 89*u**2. Let y(t) = 8*t**2. Determine y(l(x)).\nAnswer: 63368*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = -m + d, 2*m - 2 = -3*d. What is the units digit of 1 - (-12 - 4)\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3 - 2702*i**2 + 10 - i.\nAnswer: -2702*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 6. Let p = 9 + m. Which is the closest to -0.1? (a) p (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78847487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*w**2 + 7 - 84*w**2 - 100*w + 38*w**2 + 5*w**2 to d*w**2 + n + k*w and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/104 - (-43)\/8. Let a(n) = 26 + 6 - 16 - g*n. Calculate the remainder when a(-6) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 9\/6)\/(((-1633)\/276)\/(-71)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33d9 + -f3?\nAnswer: 32e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*r + 10, -5*f = -9*r + 8*r + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150172 and 136520.\nAnswer: 1501720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -481, -1433, -3321, -6469, -11201?\nAnswer: -17841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.333133ns to seconds.\nAnswer: 0.000000008333133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 2:59 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + z + 81 = 0, -3*z = 4*s + 2*z + 48. Which is the nearest to -1\/2? (a) s (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2\/(6\/9). Suppose 5*y = -s*n + 25, -3*n + 15 = 3*y - 6*n. Suppose y*v = 4*r - 639, 4*v + 664 = 5*r - 137. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960 is divided by 115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -19, -3, 15, 35, 57?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2252856 + 3.7\nAnswer: 3.4747144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192973028, -192973030, -192973034, -192973040, -192973048?\nAnswer: -192973058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*a = 390*a + 490*a + 20163 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t**3 + 2484*t**2 - 120*t - 45. Let i(r) = r**3 + 8*r + 3. Let y(c) = 30*i(c) + 2*q(c). Factor y(h).\nAnswer: 4*h**2*(h + 1242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15223 divided by 343.\nAnswer: 15223\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53 - 2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*j = 311*j - 10. Suppose 0 = -4*x - 2*q + 12, -5*x + 9 = -j*x - 2*q. Let n be (-1)\/(-4) - 13\/4. Put -11, x, n in ascending order.\nAnswer: -11, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*56.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 11. Let r be h(-10). Suppose 0 = -10*k - 13*k - 92. Put r, k, 7 in decreasing order.\nAnswer: r, 7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3619 - 21\/((-105)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f**(-7\/3))**26\/((f**(-1)*(f**(3\/7)*f)\/f)\/(f**0)**(-4)) assuming f is positive.\nAnswer: f**(-3446\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*v**2 + v**2 + 51*v**2 to the form d + k*v**2 + i*v and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -40*g**2 - 2*g - 2. Let w be f(-2). Let d = -43 - w. What are the prime factors of d?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - o - 1. Let t be p(-2). Let c(i) = 2*i**2 - 4*i + 2 + 0*i + 11*i. Let v be c(-4). Solve -2*f = t*b, 15 = -3*f + v*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n**2 + 2*n + 4. Let p be k(-2). Solve p = -2*u - 18 + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 6*q - 18. What is z(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 19. Suppose 5*z + 25 = -0, 0 = 5*g - 2*z + 30. Let x be b(g). Let u = x + 12. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 (base 11) in base 12?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5223024 (base 9) to base 12.\nAnswer: -b26b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2090 and 54446986.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -229 in -4\/5, -0.2, -3\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -234813345?\nAnswer: -1\/78271115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + 0 + 0)*(-2*y - 2*y + 3*y) + y**5 - 7*y**5 + y**5 + (-3*y + 4*y - 3*y)*(-2*y**4 - y**4 + 2*y**4).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16*y**2 + 7180*y**3 - 7242*y**3 + 7*y**2. Let g(c) = -31*c**3 - 4*c**2. Calculate 9*g(l) - 4*u(l).\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 423*w + 68565. Determine n(-125).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-17)))\/i)\/(i\/(i\/i**(-1\/2))*i) assuming i is positive.\nAnswer: i**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -0*r - 2*r - 19, 4*r + 8 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3793 + 188 - 196)*(6*x**3 - 3*x**3 - 4*x**3) in the form w*x + r*x**2 + n*x**3 + t and give n.\nAnswer: 3801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/3, -0.042951, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 - -390. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.02000331 - -4.02. Round x to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 1 - 1)*(-4 + 21*r - 20*r + 0)*(4*r**2 - r**2 + 0*r**2).\nAnswer: -6*r**5 + 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -t - 3*p + 125, 0 = 5*t + p - 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*a + w - 17, 16 = 2*a + 5*w. Suppose -4*x - 2*v = -32, 2*x + 3*v = -a + 19. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297405479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -680 - -3414\/5. Sort -3\/5, z, 0 in ascending order.\nAnswer: -3\/5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*(-15)\/(-6). Suppose 5*x + 21 = -4*z, 3*z + 3 = -x + 1. Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2 + 0 + 3 - 2*n. Let m(v) = -v**2 + 11*v - 5. Let o = 9 + -7. Let u = -9 - -20. Give o*m(a) + u*q(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14 = -5. Let p = -1 + l. Solve p*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -685 divided by -13.\nAnswer: 685\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/17, 1, 1\/2, 52?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-6\/19)\/((i**(-4)*i*i)\/i*i**5) assuming i is positive.\nAnswer: i**(-50\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - (-177)\/9. Suppose 4*j = -0*j - w. Let a(h) = h**2 - h - 5. Let u(k) = k**2 - k - 4. Let z(x) = j*u(x) + 4*a(x). Let z(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 10*y - 17. Let l be o(-7). Suppose j - 20 - l = 0. Suppose -j = -2*d - 4*h, 2*d - h = -4*h + 19. Solve -4*t = -8, -4*t = d*k - 8*t + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Let i be (-31)\/(-4) - (-3)\/12. Suppose 3*p = -p + i. Sort -5, p, m.\nAnswer: -5, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Suppose -b*k - 32 = -4*k. Let p = 14 + -3. What is the remainder when k is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 8*k**2 + k. What is the units digit of f(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2075 - -3898. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*c - c - 20 = 0, 11 = -3*m + 4*c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3993906469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 14 + -2 + -9 + 7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 + 2268*t\/5 - 6802\/15.\nAnswer: -2*(t - 3401)*(t - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 0.1, -1, 1.42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622 = 73*r - 2301. What is the remainder when 3333 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 4*t**3 + t**3)*(-2 + 6*t**2 + 3*t**2 - 8*t**2).\nAnswer: 3*t**5 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, u: 2, j: 1, k: 1, m: 2}. What is prob of picking 1 k, 1 r, and 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 34843?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216071843 - -8563.07.\nAnswer: -216063279.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g**3 + g**2 + 38*g - 7. Let u(k) = 5*k**3 + k**2 + 20*k - 4. Let t(v) = 6*d(v) - 11*u(v). What is t(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442 is divided by 283?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u = -33*u - 4*u + 4*l - 9, 4*u + 5*l - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 5086. Let c be k(0). Suppose 5*w = 5*m - 7425, -4*m - 4*w + 822 + c = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 + 1519*h**3 + 5*h - 7254 wrt h.\nAnswer: 20*h**3 + 9114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v + 85 = 0. Suppose v = 5*u - 8. Suppose 3*x + 3*n = 78, 2*n - 60 = -u*x + 82. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + 3. Suppose 13 = 2*y + 2*f + f, -y + 3*f = -k. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128351 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12623532, 50494129, 113611792, 201976521, 315588316?\nAnswer: 454447177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10520 = -41*s + 4*s + 429928. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1765906940.73 - 1765908618.729999167. Let s = n - -1678. What is s rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/((-39690)\/(-168))*(-3)\/(-8)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 976*v - 3*v**4 + 7*v**3 - 978*v + 5*v**4 to the form z + y*v**3 + t*v**2 + j*v + f*v**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**2)**(8\/5)*(x**(1\/3)\/x)**(-47))**40 assuming x is positive.\nAnswer: x**(4720\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 18*y**2 - 17*y - 1. Let r be x(17). Let c be r\/(2*3\/18). Is (c\/(-2))\/(10\/240) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -103, -74, -45?\n\"Answer: 29*f - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412720, 825441, 1238162?\nAnswer: 1650883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 1\/1421, 0.19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 929227*g**2 + 5751219?\nAnswer: 1858454*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51790702 or -51790701?\nAnswer: -51790701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -600246532 and 6.\nAnswer: -600246526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15932647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -21*g**2 + 311*g + 2686. Calculate j(-9).\nAnswer: -1814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16356 (base 13) to base 12.\nAnswer: 205a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13991 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 8*q**5\/135 + 2*q**4\/27 + q**3\/27 + 45*q**2 - 2*q. Factor t(x).\nAnswer: 2*(4*x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/110 and -89\/154?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*z**2 - 2)*(4020 - 1864 + 103)*(3*z + 3*z - 4*z) as s*z + j*z**3 + o*z**2 + w and give j.\nAnswer: -9036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-24)*(-2)\/(-18))\/((-80)\/(-128)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -641434 (base 8) in base 9?\nAnswer: -355232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.2627 millilitres in litres?\nAnswer: 0.1142627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -16. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -10. Suppose -9 = d*n - 119. Suppose -12 - 2 = -t + y, 4*t - n = 3*y. What is the remainder when 23 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6402 - 6403. Let i = 2 + -2. What is the third smallest value in 2, -2\/5, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3767*d + 3883 wrt d.\nAnswer: -3767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwsrkksksrrrksy. What is prob of sequence wwrr?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6, 2*x = h + h - 220. Let p = h - 782\/7. Solve p*f**3 + 2\/7*f**4 - 10\/7*f - 6\/7*f**2 - 4\/7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41521.507543 - -7166\nAnswer: -34355.507543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b - 4. What is the remainder when -4*(-2 - (-4)\/8) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/((-611)\/235 - (-7 + (-189)\/(-35))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 213 = w, -11*w + 262074 = 2*s + 262010 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702175 + 23825 = 242*f. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -211, -229, -243, -241, -211, -141?\n\"Answer: 2*c**3 - 10*c**2 - 2*c - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(8 + -4 + 2). Let x be (-20)\/8*k\/(-15). Calculate the common denominator of 41\/22 and ((-388)\/(-96))\/(x\/3).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 7\/4*j**4 - 2450*j - 164*j**3 + 50 + 8715\/2*j**2. Determine c so that d(c) = 0.\nAnswer: 2\/7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(0*v + 0*v - 3*v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233998507 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6468)\/(-54978)*646\/(-20).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.73317 centuries to months.\nAnswer: 51279.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.1 and 34.\nAnswer: -139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1664\/20)\/((-8)\/(-40)). What is the greatest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**5 + 4*z - 5 + 0*z**3 + 43\/12*z**4 + 0*z**2. Find the third derivative of u(q) wrt q.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/9 - 13203764*l\/9 - 21792422970962\/9 = 0 for l.\nAnswer: -3300941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95569\/51 + 1874. Let f = -4\/17 - l. What is the nearest to f in -2\/3, -2\/11, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31254 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibxibibibbbbbb. What is prob of picking 1 i, 1 x, and 2 b?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510 and 13515.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24529187*h**3 + 25049938*h?\nAnswer: 147175122*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from kyzeeffeee.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253 - 164. Suppose 0 = g + 2*q - 32, -4*g - 4*q + 55 = -a. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**8\/1008 - y**7\/315 - y**6\/180 + 2*y**5\/45 - 7*y**4\/72 + y**3\/9 + 5*y**2. Let u(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j + j - 3*j - j + 2*j + (28 + 3 - 453)*(2*j + 3*j - 6*j))*(3*j**4 - 3*j**4 - j**4).\nAnswer: -419*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279 - -280. What is the fourth biggest value in 2, -1.4, -2\/15, m?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/85*25\/(-110)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -17\/2. Let y be (30\/140)\/(18\/(-21)). Which is the closest to o? (a) -3 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 14, n: 4}. Give prob of picking 1 n and 2 z.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594, -1192, -1804, -2436, -3094?\nAnswer: -3784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*o + 2, -h + 5*o + 1 = -1. Suppose 2*g = -0*g + h. Let r(n) = 5*n**2 - 1. Let z be r(g). Solve 1 + 3 = z*d, 17 = 4*x + d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.888752 millilitres to litres.\nAnswer: 0.005888752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-2 + 3491)\/(-3))\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2*(-5)\/50*1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (5 - 9) - (3 + 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 15*t + 5. Suppose -105 = -3*v + 8*v. Let c be h(v). Let f = 268 + c. Calculate the highest common divisor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 5*s = -9. Factor 13 - s - 8*g - 32*g - 90 - 5*g**2.\nAnswer: -5*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3, 0.23, -4, -23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 124. Let l = r - 37. Suppose -30*g + l*g = 10. Solve 3*z + 7 = 4*y, -z - g = -y - 3*z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200002101 (base 3) in base 5?\nAnswer: 4302420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1*sqrt(77))\/sqrt(7) - sqrt(121)\/(sqrt(99)\/sqrt(9))))**2 + -1.\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 63*k**2 - 47*k - 202. Calculate n(-32).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/70)\/(((-16)\/4)\/60)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2 - 3*v + 6 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1690 and 1390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23738792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:36 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -19*m**3 - 5*m**2 - 6*m - 115. Let f(n) = 23*n**3 + 6*n**2 + 7*n + 115. What is 5*f(h) + 6*s(h)?\nAnswer: h**3 - h - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 11031221220110?\nAnswer: 11031221220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.489953 minus 0.2?\nAnswer: 0.289953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 + 19*j**2 - 34*j**3 - 21*j + j + 4*j**2 + 2*j**3 - 37*j**2.\nAnswer: -32*j**3 - j**2 - 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g)\/g)**(1\/21)\/(g**(1\/4)\/g)**15 assuming g is positive.\nAnswer: g**(941\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1901 or -1902?\nAnswer: -1902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 3*v**2 + 5*v - 2. What are the prime factors of k(4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**5\/24 + m**4\/8 - 2*m**3\/3 + 2. Let g(s) be the third derivative of c(s). What is the first derivative of g(h) wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 i when three letters picked without replacement from guimjjkgiuiggjggjm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(-14))\/((2\/(-3))\/(20\/(-15))). Which is the second smallest value? (a) -41 (b) -0.1 (c) p (d) 1\/10 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5501 + 5501. Let c be 0 + 0 - 2\/16. What is the closest to 1\/5 in 1, w, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvw when three letters picked without replacement from wvwvvvvvvvvvvvvvvvvv?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - p**2 + p**2. Let y(t) = -t**2 + 8*t + 22. Let i be y(10). Let s(u) = 3*u**2 - 6*u**i + 7*u**2 + 4*u**2. What is n(s(b))?\nAnswer: 128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-702)\/1430)\/((-111)\/1480).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (755\/(-5285))\/(4\/(-84)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3744 and 5472?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*b - 61, -b = -j + 36 - 19. Suppose -4*p - 3*y = 11, 4*y + 35 - j = 3*p. Solve 4*f - 5*r = 3*f - 5, 0 = f + r - p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 115, -126994 in decreasing order.\nAnswer: 115, 1, -126994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -747 divided by -125?\nAnswer: 747\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 174*q**2 + 9*q + 61. Is j(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38716 * -158.\nAnswer: 6117128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25850\/23 + 1124. Sort t, 0.04, -3\/52 in descending order.\nAnswer: t, 0.04, -3\/52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Differentiate s - o**2 - 3*o**2 + 6*o**2 wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 10:00 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 + -132. Let a = x - -324. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180092 to the power of 1\/2, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*f + 36*f - 390 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-30)*x**10 assuming x is positive.\nAnswer: x**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -974 (c) 0.3 (d) 2\/3 (e) 0.005 (f) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p. Suppose 0 = -5*u + 5*u + 6*u. Let z be (-3)\/(-18) + 3 + -3. Which is the nearest to u? (a) 1 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 d, and 1 e when four letters picked without replacement from eeweykeeydkyyey?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1793*f**2 + f - 7. Let y(z) = 23*z. Determine g(y(i)).\nAnswer: 948497*i**2 + 23*i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5\/13 + 3792*q**4\/13 - 406108*q**3\/13 + 11594048*q**2\/13 - 21984930*q\/13 + 10793200\/13 = 0.\nAnswer: 1, 55, 1784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 2 (c) 53 (d) 2\/37 (e) -1\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 3*n + 19*n + 24*n. Let c(q) = -3 - 4*q + 5*q + 3*q + 3. Determine a(c(h)).\nAnswer: 200*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 2:47 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 11*r - 2*t + 7776, 4*r - 31116 = 4*t. Let i = r - 4183. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*s - 2133*s**2 - 124*s + 276*s in the form a*s + x + m*s**2 and give m.\nAnswer: -2133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -31485, 326, 2\/15?\nAnswer: -31485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1318 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -9 - (-84 - -79 - (-4 + -75 + 6)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518696992.\nAnswer: 2, 11, 109, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2240847912.483 - -1?\nAnswer: -2240847911.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 339, 351, 363, 375, 387?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 + 4*h - 246. Let y(z) = 12*z**2 + 10*z - 494. Determine 5*u(g) - 2*y(g).\nAnswer: g**2 - 242","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.088086 to three decimal places.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -24*m - 28. Let t(a) = a + 1. Let j(v) = -t(v) - u(v). Let d be (-2556)\/3408 + (0 - 23\/(-4)*1). Is j(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from vbpcvpvv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 6491166008*p + 6491166006*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {u: 1, n: 3, v: 1, y: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110876907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8749791 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:48 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -11, -4, -2, -62?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/4*(-1996)\/8982*4\/(-8)*-20.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r**3 - 476*r**2\/3 - 176*r + 1664\/3 = 0 for r.\nAnswer: -8, -13\/4, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4861*n + 3276*n + 2476*n + 4832*n to o + q*n and give q.\nAnswer: 15445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76719344.\nAnswer: 2, 13, 103, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.564389214 to 3 dps.\nAnswer: -0.564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*i - 9499, -3*z = i + 4*i - 28548. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.08 + -5. Let j = r + 0.22. Which is the second smallest value? (a) j (b) -4 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 492*b**2 - 2*b**3 - 3 + 4*b**4 - 492*b**2 + 3*b - b in the form t*b**4 + g*b**3 + z + d*b + q*b**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than or equal to 34\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 11 = -o. Suppose 5*z = -1 - 4. What is the nearest to z in -3, o, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 44. Let g(n) = 4065*n**2. Determine m(g(f)).\nAnswer: 33048450*f**4 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 805*f - 11071. Determine d(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(100)\/sqrt(2) - (2 + (sqrt(2) - sqrt(4)\/sqrt(8)))**2.\nAnswer: -12*sqrt(2) - 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c + 2. Let w be i(2). Suppose -3*d + w = 3*d. Sort -2\/7, d, -4.\nAnswer: -4, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3, -7, 41, -123, -5 in ascending order.\nAnswer: -123, -7, -5, -1, 1, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 5*f**4\/24 - 3*f**3 - f**2. Let n be 12\/(12 + 0) + 3. Let s be q(n). Solve 1 = r - 3*a, -1 - 10 = 3*r - s*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3)*w\/w**(1\/16))**43*((w\/(w\/(w**0*w*w)))**6)**(-47) assuming w is positive.\nAnswer: w**(-22385\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - ((-80)\/4)\/5. Let h = -0.03 + 0. Let i = h - 1.97. Which is greater: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139397.\nAnswer: 139397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4)\/(x\/(x*x**(-3\/2)\/x))*x**5\/(x*x*x\/(x**(-2)\/x)) assuming x is positive.\nAnswer: x**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 13521.\nAnswer: 54084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.32681 and 0.2.\nAnswer: -6.12681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6534 and 252.\nAnswer: 91476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16642032 and 4224.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -806234 or -806246?\nAnswer: -806246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62320 = 36*q - 62140 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 4*m**2 - 3*m - 5. Let v be z(5). Let x(q) = -q**2 + 7*q - 7. Let k be x(v). Solve -20 = 4*s + k*i, 3*i = -0*s + 3*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l**(-5)*l\/(l*l**(-1\/3)\/l)*l**(1\/3))**(-40) assuming l is positive.\nAnswer: l**(-560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4305 and 27720?\nAnswer: 1136520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, i: 8, w: 4}. What is prob of sequence xiiw?\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/5, -1, 33\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1431 = 3*x, -2*x + 954 = 3*z + z. Let q be 2 - (x\/(-15))\/(-1). Let v = -30 - q. Which is the nearest to -2\/5? (a) -5 (b) v (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/163496 (b) -1 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/((-11)\/418). Calculate the highest common divisor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - q**2 - 11*q + 20. Let s be j(-8). Is (s\/24)\/((6\/(-68))\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 - -9 - (-1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-1\/4)*n)\/n))**(-13))**(-6\/5) assuming n is positive.\nAnswer: n**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*j + 106 - 1012, 0 = -4*m - j + 1183. Calculate the remainder when m is divided by 102.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.313 - -172.687. Let d = r - 172.9668. What is d rounded to 3 dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 2. Let p be s(-7). Suppose w = -2, -d - w - p = -0*d. Let u = d - -29. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504094788?\nAnswer: 2, 3, 137, 179, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -20\/1323?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10211000212222222 - -2?\nAnswer: 10211000220000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*c + 4*m - 23, 16 = 4*c - 2*m. Let a(l) = -14*l**3 + 0*l**2 + 13*l**3 + 1 - 7*l + 6*l**2 + 3*l. Determine a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2)\/22 + (-80299980)\/(-110). What is s rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2035)\/(-165) - 13)\/((-8)\/(-12)) - (1 + 101)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5004 and 549.\nAnswer: 305244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 18 - 0. Let f(w) = w**2 + 3*w + 6. Calculate the lowest common multiple of d and f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -334 (b) -14 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwi when three letters picked without replacement from {i: 2, c: 1, h: 1, w: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1261613\/153 + 8247. Let l = -16\/17 + y. Let m be (-5 + 6)\/(10\/4). Which is the closest to m? (a) 0.1 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1591 and 5031?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Let w be 12\/(-20)*(9 + 6). What is the common denominator of (w\/(-81))\/(1*k\/151) and -31\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*p = 52671 - 55864 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 101*z + 107. Let g(v) = -v**2. What is g(o(h))?\nAnswer: -10201*h**2 - 21614*h - 11449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = h + 5*p, -5 + 30 = h + p. 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 1970909 to the power of 1\/2, to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:34 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/11 + 152740*u**4\/11 - 1833160*u**3\/11 + 611440*u**2\/11 + 29331200*u\/11 + 39107584\/11 = 0.\nAnswer: -76382, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32199 and -25.3?\nAnswer: -814634.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9*a**2 + 1 + 0*a**2 in the form m*a**2 + o + y*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753 a factor of 36521013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.1 + 9.1. What is the closest to -4 in 1\/13, u, 0.4, -3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-4)\/1*-1. Let b(w) = 0*w - x*w + 2*w. Let f(h) = -h. Give b(s) - f(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/44)\/(183\/((-22143)\/22)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-2\/3))\/a)*a*a**16*a*(a**3*a)**(-22))**(18\/7) assuming a is positive.\nAnswer: a**(-1230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -66. Let c(r) = r**3 - 6*r**2 + 3*r + 4. Calculate the remainder when a is divided by c(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 421 = -5*v, 3*v - g - 153 - 102 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 5682. Let p(c) = 7*c**2. Give z(p(m)).\nAnswer: -28*m**2 + 5682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.81 + -0.19. Let g = 0.1 - 0. Which is the nearest to 2? (a) g (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 != -7760\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-24)*14\/2. Let j = w + -2\/3. Factor 0 + 1\/2*x + j*x**2.\nAnswer: x*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - ((-15 - -8) + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 33\/5 of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6 + 688*c**2 - 2*c - 1355*c**2 to the form r + x*c**2 + w*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - 6*g)*(3 + 2 - 6)*(1 - 6 - 5)*(0 + 3 - 5)*(8 - 1 - 5).\nAnswer: 80*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 1, r: 1, x: 2, h: 1, u: 1}. What is prob of picking 1 u, 1 r, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -3 - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2\/3 + 680*n\/3 - 28900\/3 = 0. Calculate n.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6\/(-8) - 14\/20.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 539.1 - 539. Let y be (-1)\/((1 + -4)\/(-9)). Sort y, i, 0.02 in increasing order.\nAnswer: y, 0.02, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, 4.\nAnswer: 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 + -117 + -38 + 242?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -3, 0.06, -288?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-4 - (sqrt(66) + (sqrt(66) + 2*sqrt(66) + sqrt(66) - sqrt(66)))*-3)\/((sqrt(6) + sqrt(48)\/sqrt(8))*3 + (sqrt(324)\/sqrt(6))\/sqrt(9)).\nAnswer: 8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from uhupzpzoupp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/50)\/((-112)\/560))\/((-18)\/15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose 4*l + 0 + 8 = d. Is l\/(-7) - (-262)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5646 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 188, 189, 190, 191, 192, 193?\n\"Answer: q + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Suppose -t = -y*t + 5. Put t, 0, 1 in descending order.\nAnswer: t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -788611567\/616 + 1280213. Let j = u + -3\/56. What is the common denominator of 47\/10 and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {l: 2, p: 4, c: 2, x: 8}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 187144666 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:40 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 20)*((5 + 2*n**2 - 5)*(0 + 1 + 1) + 4*n**2 - n**2 - n**2 + 468*n**2 - 30879 + 30879) in the form r*n + j*n**2 + l and give j.\nAnswer: -8532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 15*v - 20. Let r be o(13). Let i be (2\/(-4))\/(3\/(-12)). Factor -3*z + 2*z - i*z - 3*z**3 + r*z.\nAnswer: -3*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6167, -4364, -2561, -758, 1045, 2848?\n\"Answer: 1803*y - 7970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 6*h**2 + 9*h + 2. Let z be b(-4). Suppose 0*c = -2*c. Sort z, c, 2 in descending order.\nAnswer: 2, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 26*f - 24. Calculate z(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 90*r**4 + 250*r**3 + 196*r**2 + 30*r - 6. Let f(l) = 18*l**4 + 50*l**3 + 39*l**2 + 6*l - 1. Let k(n) = 14*f(n) - 3*x(n). Let k(a) = 0. What is a?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259479599 + 129739772 + 52*u**3 + 129739827.\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-110)\/(-16))\/((-153)\/(-241128)). What is the greatest common divisor of c and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 738 (base 10) to base 2\nAnswer: 1011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 288*n - 63. Let a(r) = -r**3 + 17*r**2 + 61*r + 43. Let q be a(20). Let x(z) = -23*z + 5. Calculate q*x(b) + 5*d(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 438432601\/(-356) - 9\/(-4). What is h rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + k - 1802 + 6954 = 0, 4*f + 2*k - 10312 = 0. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6063651599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 524 and 18602?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 3932 - 7244 = 0 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*i + 9 = -1, 5*w = 2*i - 47. Let g = w - -21. Suppose 5*n - g = -5. Is 4\/5 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -56*u**2 - 49*u + 49. Let t(m) = -7*m**2 - 6*m + 6. Let r(q) = -6*n(q) + 49*t(q). Let y(s) = -9*s. Determine r(y(g)).\nAnswer: -567*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0 + 12. Let y(a) = -2 + k - 2. Let b = 12 - 11. Let t(s) = s**3 - 7. Give b*t(l) - 5*y(l).\nAnswer: l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4179*j = -4178*j - 22 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**4\/6 + 2*q**2 - 34*q. Let c(g) = -4*g. Let s(a) = 21*a. Let y(r) = -11*c(r) - 2*s(r). What is k(y(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 6:00 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q. Let z(w) = -21*w**2. Determine d(z(s)).\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 59 = 4*p + p, -3*s - 27 = -2*p. Let i be 1\/15*5*p. Suppose 215 = y + i*y. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and -326.\nAnswer: -11736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1147, 4507, 10087, 17887, 27907, 40147?\n\"Answer: 1110*r**2 + 30*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 253 + -253. Let h = 5 - 3. Suppose 2*f + 26 = 3*f - d, -2*d - h = j. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 947506 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352.84 rounded to the nearest ten?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221 + -100?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 + (-2 - -8) + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + (-15)\/(15\/2). Let f be (z\/6)\/((-15)\/(-50)) + 8. Solve -s - f*h + 7 = s, -4*s - 11 = h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**20*i))\/i*i\/(i\/(i\/(i\/((i**(2\/7)\/i)\/i)))))\/(i**(-13))**(-31) assuming i is positive.\nAnswer: i**(-2980\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/23)\/(g*g**(-26))*g**(1\/24)*(g\/((g\/g**(4\/21))\/g))\/g)**(-1\/6) assuming g is positive.\nAnswer: g**(-32611\/7728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1965, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 9*c**2 + 32*c + 373. Determine q(-10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + s + 1 = 0, 4*d + 0*s = s + 8. Suppose 4*x + 3*m = -d, -3*x + 4*x - 14 = 4*m. Solve -i - 3*z + 4 = -x*i, -2*i = 4*z - 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1142*v**4 - 2*v**2 - 3*v**3 + 0*v + 2*v + 1140*v**4 to i*v + n*v**2 + u*v**4 + f + a*v**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1 - 0))\/(-1). Let h = v - -5. Let a(y) = 3*y**2 - 4*y + 4. Let f(b) = b**2 - b + 1. Give h*f(w) - a(w).\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2769 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z**2 + 235 + z**4 - 235 + (-z**3 + 3*z**3 + 0*z**3)*(10*z - 19*z - 35*z) as y*z**3 + w + o*z + r*z**2 + p*z**4 and give p.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 5.1. Let n = g + -7. Which is the third smallest value? (a) -5 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8208\/675 - 12)\/2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41844946 a multiple of 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/144 and 59\/62852040.\nAnswer: 125704080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5 + 1905*u**4 + 149995*u**3 + 702975*u**2 = 0.\nAnswer: -273, -103, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b + -164?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*k - 3*u, -k - 3 = 3*u + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251417 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0 (c) -11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.06 (b) -4\/3 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 3*r**3 + 2*r**3 + (-r + 0 + 0)*(r**2 - r**2 + 3*r**2) as k + s*r**3 + l*r**2 + p*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1587 - -2826. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 123907?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {a: 17, n: 3}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3902*k = -3900*k - 15380. List the prime factors of k.\nAnswer: 2, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*2*((-16779)\/2)\/17?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7381 + 5505. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*z - 51. Let b(x) = 9*x - 30. Let u be b(z). Calculate the greatest common factor of u and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t + 32. Let h(g) = 3*g - 11. What is 7*h(o) + 2*l(o)?\nAnswer: o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (15 + 0)) + 1. Let j be 10 + 3*16\/t. Factor 7*y + j*y**2 - 3*y**2 + 5*y.\nAnswer: 3*y*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -4 - -25 - (-1 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -825287 + 1360786. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (6 + -4))*1\/(-34). Suppose s + 6 = -s. Which is the nearest to 0.1? (a) f (b) 2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/42*-4*198\/(-660).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 - 3945*d**3 - 470*d**2.\nAnswer: 60*d**2 - 23670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q + 13. Let g(c) = -11 - 4*c + 0*c + 4. Let o(y) = 5*g(y) + 3*u(y). Let v be o(-5). What is the closest to 0.1 in 4\/5, 2, v?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3389, 926, -1537, -4000, -6463, -8926?\nAnswer: -11389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -43. Solve 11 = -2*d + l*c, -6 = 5*d - 2*d - 4*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 + 6*d + 8. Let a be f(6). What is the second derivative of 3*t**5 + 2*t**5 - a*t**5 + 4*t wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*f - 3. Suppose -f*z - 1361 = -6*p + p, -4*p + 1360 = -3*z. Is (z\/6)\/(8\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 17}. Give prob of sequence kv.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -74, -92, -88, -56, 10?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 + 9*w\/5 - 54\/5.\nAnswer: 3*(w - 3)*(w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 11*w**2 + w + 10. Let p be -4 - (4 + 1 - (-57 - -17)). Let a = -60 - p. What is x(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 6, 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3347 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: Suppose 174 - 49 = -5*z. What is the common denominator of -95\/4 and z\/(-70)*3*1\/(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76) - (sqrt(76) + (-2 + sqrt(76))*2))**2*2.\nAnswer: -1920 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d**2 + 2*d**3 + 72*d + 5*d**2 + 16*d**2 + 9*d**2.\nAnswer: 2*d**3 + 72*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 - (4 - (6 + -5)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*k = 10, -167*k + 166*k - 6 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4893587?\nAnswer: 829, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38*3)\/(12\/(-20) - -1). Suppose -3*s - 3*y = -m, -11 + 1 = -5*y. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14 + 14 + l. Let p(g) = -g + 1 + g**2 - 2*g**2 + 0*g**2. Let k(y) = 4*y**2 + 2*y - 2. Let q(t) = k(t) + 2*p(t). Determine a(q(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - t = 3*t + 26669, 0 = -o - 2*t + 8883. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12101012102 - 12020000?\nAnswer: 12011222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5730 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111 (base 2) to base 8.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 31. Suppose q*i - v = 71, 2*v - 133 = -5*i - 0*v. Which is greater: i or 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(70) + (sqrt(70) - sqrt(70)*-2*3 - sqrt(70)))*-6)\/(sqrt(20)\/sqrt(18) + sqrt(40)\/sqrt(4)*4).\nAnswer: -126*sqrt(7)\/13 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 303651 = 950372 + 503497. Round q to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 72. What is the first derivative of 2 - 27*f**3 - t - 6 wrt f?\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 47*f - 15*f - 10*f - 20*f. Let i(v) be the first derivative of -19*v**3\/3 - 1. Determine p(i(c)).\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-10)\/(-8)) - (0 + 6). Let r(d) = -d**2 + 6*d - 6. Let b be r(4). Is b greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*z = -56*z - 154. Sort -2, 3, -3, 280, z in decreasing order.\nAnswer: 280, 3, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 27 = 5*q, 5*q + 24 = -5*g - 1. Let d = -9 + 17. Let t = d + q. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -2 - (-7694 - -7701).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4257)\/(-9) + -3 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 + 7 + 9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, 5, 2\/6767 in descending order.\nAnswer: 5, 2\/6767, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/4)\/4 + 11. Let q = 8 - m. Let k = -1\/15 + 2\/5. What is the third smallest value in 4, q, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2068)\/(-66))\/((-99)\/297)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040931 a multiple of 543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g + 4*l + 8, -13 = -2*g - l. Suppose -4*t + 23 = -v + 7, -3*t - g*v + 35 = 0. Calculate the remainder when 19 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 12. Let y be (0 - m) + 1 + 1. Suppose z - 91 = -y*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 2. Give q(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjijjjjjjjrjijjrijj. Give prob of sequence rrj.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 36*z - 4. Let c be h(7). Suppose -5*j + c = -j. Let t = j - 36. What is the remainder when 51 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 34?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 21.3. Let x = -8.7 + k. Let w = -15 - x. Which is the closest to -1\/4? (a) w (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*h**2 + 45*h - 10.\nAnswer: 5*(h + 2)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 150, 157, 148, 117, 58?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3244 + 3?\nAnswer: 3247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(17) - -2*sqrt(17)) + 4))**2.\nAnswer: 96*sqrt(17) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/345400 and 137\/11000.\nAnswer: 1727000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (10 - (-4 - (1 + 26))) + (16 - 7)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(156) + sqrt(156)) + sqrt(156) + sqrt(156) + sqrt(156)*1*2)\/((sqrt(1200)*2 - sqrt(1200)) + (sqrt(108)*2)\/sqrt(9)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.192 to 1 decimal place.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 632159168*z**3 - 2*z**2 + 819525*z + 12.\nAnswer: 3792955008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/16667 and -46\/8153.\nAnswer: 135886051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882.8 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t + 1387 - 848 + 933 = 0 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 19.8 (c) -218635 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*o + 75*o - 52*o - 134049300. What is o rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54569 is divided by 54238.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633544924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6349 and -20449.\nAnswer: -14100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -26*l**3 + 6*l**2 - 150*l - 13. Let t(f) = 74*f**3 - 17*f**2 + 449*f + 39. Determine 17*o(u) + 6*t(u).\nAnswer: 2*u**3 + 144*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (855\/(-4788))\/(5\/6)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 47 = 43. Find the third derivative of 0*x**2 + x**2 + t*x**3 + 14*x**3 - 6*x**2 wrt x.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -14. Let k = -3.04 + 0.04. Let r = h - k. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4*f - 140, -4*f + 12 + 8 = 0. Let l(q) = -q**3 + 28*q**2 + 58*q + 62. Let t be l(b). Factor -1\/2*h**t - 18 + 6*h.\nAnswer: -(h - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2442835 (base 9) to base 11\nAnswer: 827382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/3 - -2. Let q = k - 1\/6. Let b = -35 + 34.9. What is the closest to b in -13, q, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/249 in -40\/11, 1\/2, -3, -1\/6, 17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -435 divided by 460.\nAnswer: -87\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 46 = -32. Find the first derivative of -3*w**3 + 597*w**2 + b - 597*w**2 wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from mmssmsmmsmsmss?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37703 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 7 = -49. Suppose -r*s + 230889 = -135687. Suppose -166096 = 7*u - s. What is u rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 514697 and 117898?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (-225)\/36 - (-2 - (-95)\/(-4)). Solve n - 2*x + 7 = 0, 0 = 4*n - x - c + 47 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-11)\/(s*s**(1\/12))*(s**7)**(-49) assuming s is positive.\nAnswer: s**(-4261\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = 2*p, -4*p + u = -0 - 1. Let q(j) = 6*j**3 - j**2 + 1. What is q(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 70. Let v(l) be the third derivative of 5*l**4\/24 + l**3\/2 - 6647*l**2. Give c(v(g)).\nAnswer: 10*g - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 8. Let u be x(-6). Let v = -0.207 + 0.107. Let h = -39\/20 - -7\/4. What is the closest to v in u, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.9 and -86254766.78.\nAnswer: -86254791.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w**(-4\/11))\/((w*w*w**(-4)*w)\/w**2)*(w\/((w**(1\/6)*w*w*w)\/w))\/(w\/(w**(-1\/3)*w))*(w**0)**(-31) assuming w is positive.\nAnswer: w**(147\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 8989 + 435. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105804047*k*l + 49865730*k wrt l.\nAnswer: -105804047*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2246272 divided by 3052\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6 - (-1133)\/(-6))*998\/(-6487)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2661 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 1. Determine r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -15. Let z = 10 + -63. Let w = -33 - z. Calculate the smallest common multiple of w and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 187089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((5 + (sqrt(320) - sqrt(320)*-2) + sqrt(320))*-4*-6 + -4))**2 + 5.\nAnswer: 712704*sqrt(5) + 11850309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51449 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -20. Let y be (-2)\/(-4) + q\/(-68). What is the nearest to -0.1 in y, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 40*f - 56276. Calculate m(258).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12773 + 12805. Let d be ((-12)\/10)\/(3\/(-20)). What is the smallest common multiple of 314\/d + 12\/16 and y?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 233 + -35?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a9d4b (base 16) to base 5\nAnswer: 134230002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 25986?\nAnswer: 675636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 6. Let g be s(-11). Let p(a) be the third derivative of -1\/6*a**3 + 0 - 1\/10*a**g + 1\/24*a**4 + 0*a - a**2. Determine p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*x - 11, -7 = 24*f - 29*f + x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19668239.685 - 1712.\nAnswer: 19666527.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00351 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1487 is divided by 257?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 154636344 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1 + 4*s**2 - 3*s**2 + 2*s + 0. Suppose -l = 4*j - 24, l + 0*l - 29 = -5*j. Let q = 6 - j. Give d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 802950*c - 4014773. Calculate x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117 - 73*i**2 + 37*i**2 + 35*i**2 to the form v + g*i + d*i**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996038499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + (-15 - -6) + -13 + 13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209 - -377. Let c be (-2)\/1 + n\/98. Let q be 9*((-2)\/(-6) - 0). What is the biggest value in c, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 10*k + 8*k + 33 = 0, 0 = 3*t - 2*k - 45. Let b(m) = 9*m - m + t*m**2 - m**2 - m**2 + m**3 - 12. Give b(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39942)\/15216*5\/((-10)\/16)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(37 - -4 - 4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -6817 in ascending order.\nAnswer: -6817, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 2*r**2 + r**2)*(-2498*r - 1653 - 3989*r + 1717*r + 1652) as o*r**3 + g + y*r + x*r**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 less than or equal to 19746\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/19 + 4270*q\/19 - 1208928\/19 = 0. What is q?\nAnswer: 336, 1799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 37 + 15)*(-1 - r + 1)*(2 - 6 + 0) to the form p + u*r and give u.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 120?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 - 3. Suppose 0 = -h + 1. Let m = 356\/77 + -54\/11. What is the closest to h in r, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3. Let a(j) = -2*j**2 + 4*j - 3. Let r(o) = a(o) + m(o). Suppose 2 = -4*u + 10. What is the smallest common multiple of 7 and r(u)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a + 3. Let s be u(2). Suppose -k + 2*k - 3 = 0, 5*k = -2*d + s. What is the third derivative of y**d - y**4 + y**4 + 2*y**2 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29834 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/21)\/(p\/(p**(-4\/5)*p)) assuming p is positive.\nAnswer: p**(-94\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**3 + 11*m - 3*m + 3*m**3 wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y - 7. Suppose d - 3*d = -6. Let r(h) be the first derivative of 3*h + d + 3*h**2 - 1 + 1. Determine 9*r(t) + 4*z(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 130 + 86. Is -38 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 17 (c) -1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47926040, -47926044, -47926050, -47926058, -47926068, -47926080?\n\"Answer: -p**2 - p - 47926038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11412119 + 11.\nAnswer: 11412130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 982 + -977. Suppose z - 112 = -z - 2*v, 3*z + b*v - 176 = 0. Are 52 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314479.\nAnswer: 11, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**4\/4 - 5*o**3\/3 - 3*o**2 + 6*o + 7. Is s(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -84, -172 in ascending order.\nAnswer: -172, -84, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -d176d (base 15) in base 14?\nAnswer: -13397c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxxxxxxxxjxxxxxxxx. Give prob of sequence jxxj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16716*o + 918884 + 131134 = -1323654 for o.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 92 - 14. Let w = -8 - z. Let t = 10 - 5. Solve -w*m + m + t = -3*k, -5*k = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21692 is divided by 1668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*k**2*l**2 + 4*c**3*k*l**4 - 61*c*k**3*l**3 + 12*k**3*l**2 - 4*k**3*l - k**2*l wrt l?\nAnswer: 96*c**3*k*l - 366*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (2 - 1\/1). Let q be (x\/9)\/(6\/(-9)). Which is the closest to q? (a) 2 (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347.628*153.\nAnswer: -53187.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.45 + -1.25. Let l = d + 10.7. Put -0.05, 2, l in decreasing order.\nAnswer: 2, l, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d - 1474 = 86*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144795930?\nAnswer: 2, 3, 5, 4826531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18 and (-4)\/(-140)*185\/2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from jttbtbbttjb?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1141444, 1141443, 1141442, 1141441, 1141440?\nAnswer: 1141439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 270186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + b + 4 = -4*d, -b - 8 = -3*d. Let s(n) be the second derivative of 5*n**3\/3 - n**2\/2 - n. Calculate s(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-408)\/(-6) + -14 - 14. Solve z*w + 52 = 27*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 14 = 2. Suppose 2*s - 2*y - 33 = y, -4*s + 116 = i*y. Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 l, and 1 g when four letters picked without replacement from {h: 4, l: 1, s: 5, q: 1, g: 3}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-940)\/56 - 4\/(-14). Let s = a - -65\/4. Let h = 0.06 - 0.46. What is the smallest value in 1\/4, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 2136053634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -1 - (6 - 11). Calculate the highest common factor of 10 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6740000 to the nearest one hundred thousand.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(833) + 4 - (sqrt(833) + -1)*3) + 3*(sqrt(833)*1 + 3 + (sqrt(833) - 2*(2*sqrt(833) + sqrt(833)))))**2.\nAnswer: -3584*sqrt(17) + 213504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0269434 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130.39199 milliseconds to days.\nAnswer: 0.000013083240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013941 rounded to 5 decimal places?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 29*q + 25*q = 5311, 6*q = -2*f + 10622. What is the greatest common divisor of f and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 1632849470.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*q - 15. Let f be 10\/1*(-4 - 132\/30). Let s = f - -111. Calculate the remainder when s is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1126*q + 535. Let l(p) = 3168*p + 1605. Let t(v) = -6*l(v) + 17*m(v). Calculate t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1213131 and 426.\nAnswer: 172264602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2820842 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(720) - (2 + sqrt(720))**2) + 2 + 2 + sqrt(720) + -1 - (-2 + -5*(sqrt(720) + (sqrt(720) + sqrt(720) + 1)*1)**2)).\nAnswer: -158430 - 1680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(-2\/15))\/x)*x*x*x*x*x*x*x\/(x*x\/x**8)*x*x*x)\/(x**(1\/2)\/((x\/((x**(-9)\/x)\/x)*x*x)\/x)) assuming x is positive.\nAnswer: x**(889\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvffvbfffb. What is prob of sequence ffvv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 + -121.8. Let v = -10.5 + -1.5. Let q = 11 + v. Which is the biggest value? (a) q (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45, 94, 159, 246, 361?\n\"Answer: h**3 + 2*h**2 + 36*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 14*n**2 + 512\/7 - 32\/7*n**4 + 832\/7*n - 253\/7*n**3 - 1\/7*n**5 = 0.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*n - 58*d**2 - 3*d*n**2 + 95*d - 43*n**2 + n - 3322 wrt d?\nAnswer: -2*d*n - 116*d - 3*n**2 + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127755174?\nAnswer: 2, 3, 1201, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4*2)\/((-531)\/(2987937\/(-662))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1299 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -11\/1181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**2 - 8*x**2 + 59*x**2 + 2*x**2 - x. Let z(g) = -2*g**2. What is z(c(r))?\nAnswer: -7442*r**4 + 244*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from {m: 11, h: 6, b: 2}?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1778?\nAnswer: 7112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 951*g**2 - 71*g - 11. What is the hundreds digit of f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/35172 and 79\/46896.\nAnswer: 140688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 738*o**3 - 2*o**2 + 6*o + 64869?\nAnswer: 2214*o**2 - 4*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 43134*v**4 + 9*v**3 + 129408*v**2 + 86268*v = 0. Calculate v.\nAnswer: -14378, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 55578 = -19*a + 40077. List the prime factors of a.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -p - 25, -5*p + 0*y - 3*y + 15 = 0. Suppose -530 = -5*c + 27*m - 32*m, p = -3*c - 4*m + 316. Calculate the greatest common divisor of 54 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*v**3 - 9*v + 154*v**3 - 44*v**3 - 6*v - 9*v**2 - 1 - 44*v**3 to z + k*v**2 + l*v**3 + u*v and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -220 + -245. What is the remainder when ((-10)\/15)\/(10\/k) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*t**2 - 6286*k**2*t + 21*t**2 + 192238 wrt k.\nAnswer: -2*k*t**2 - 12572*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f. Let b(o) = 12*o - 7. Let l(t) = -4*t + 2. Let a(c) = -2*b(c) - 7*l(c). Determine x(a(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((2\/3)\/(-1)). Let t(s) = 0 + d*s**2 + 0. Let x(q) = 1. Let w(g) = g - 3. Let b(l) = w(l) + 3*x(l). Calculate t(b(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 269?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m - 13. Let w = -3486 + 3482. Calculate v(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2146 - 2142. Solve 4 = -a*x, -4*d + 15 + 7 = -2*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2. Suppose 4*d - 14 = q, -14 = -5*d + 2*q + 2. Let l(i) = -4 - 3*i**2 + d + 2*i**2. Calculate m(l(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 15*o + 15. Let q(g) = -g**2 + 4*g - 4. What is -15*q(r) - 4*y(r)?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*v + 1 - 2*v + 3*v + 0*v + (v + v - v)*(2 + 6 + 0) + (5*v - 2*v - v)*(4 - 5 + 0).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -103.7. Let v = 4 + -6. What is the second biggest value in c, v, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15390 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3501 - 47452 = -7*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(35)\/(sqrt(60)\/sqrt(3)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 356446598 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1333.1 - 1422. Round m to the nearest integer.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 370 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/21*(-1)\/6*-2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 - 4 - ((-81)\/(-99) - -6). What is the closest to -3\/5 in u, 0.3, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/36)\/(576\/(-486)))\/(9\/(-30)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 15753*v**2\/4 - 55111*v\/2.\nAnswer: -v*(v + 7)*(v + 15746)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:39 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o**4 + 101 - 6*o + 4*o**3 - 101 + 3*o**2. Let v(j) = -6*j**4 - j**3 - j**2 + 2*j. Let r(q) = 4*f(q) + 11*v(q). Find m such that r(m) = 0.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*k - 5 - 44 = 0, 650*k = -10*b + 6*b - 2086 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -190564778, -381129556, -571694334, -762259112, -952823890, -1143388668?\n\"Answer: -190564778*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -4*4\/4*-4 and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/1110 and (-744)\/2240 + (-3)\/(-21).\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 536*l**3 + 2*l**4 - 536*l**3 + 12 + 3 - 2*l**4 - 3 + (-l**2 + 1 - 1)*(l + l**2 - l) - l**4 + l**2 - l**2 - 4*l**4 + 2*l**4 + l**4 + l**4 + l - l.\nAnswer: -2*l**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764494.2 kilograms to grams.\nAnswer: 764494200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -z + 340, -2*n + 360 = 17*z - 16*z. Calculate the greatest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61873588927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 4. Suppose -5*m + 0 - 10 = 0. Let y be m\/3 - 258\/18. Let r be 6\/9 + 85\/y. Let f(g) = 4*g - 9. What is r*q(n) + 2*f(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/6*(-2)\/((-130)\/(-39)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkdddkdldddkkkddkd. What is prob of sequence dkkk?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 - 9*r**3 + 26*r**3 - 10*r**3 - 4*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -53*q + 553. Let s be a(10). What is the nearest to 2\/7 in -1, s, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:07 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 131788.394 to the nearest ten.\nAnswer: 131790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.116546*-0.5.\nAnswer: 36.058273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 52 + 20 = 0. Suppose 7 = x - 4*v, u*x + 3*v = -2*v - 56. Let t = 13 + -11. Put x, -0.3, t in ascending order.\nAnswer: x, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833657?\nAnswer: 3, 7, 87317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230212 is divided by 51246.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -688651?\nAnswer: -688656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*m - 3 - 2)*(18*m**3 - 5*m**3 + 11*m**3).\nAnswer: -48*m**4 - 48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + d = -18. Let s(a) = 10*a - 8. Let v(g) = -g + 1. Determine d*s(h) - 18*v(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 10*l + 15. Suppose -5*u + 10 = 0, l*u - 3 = -3*i + 3. Suppose i = 4*w - w - 3*t - 444, 4*t = -5*w + 776. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-21)\/k*(k**(-2)*k)\/k*k*(k**8*k)**(-38) assuming k is positive.\nAnswer: k**(-364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 165348 = 388*m - 384*m, -d - 3*m = -41335. What is the remainder when d is divided by 260?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -34?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -21*o + 15, t - 682*o - 5 = -681*o for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2978000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-7 - (-5 - 8)) + 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5603332*t**4 - 86320*t**2 + 152*t.\nAnswer: 134479968*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + -11. Let z = t + 45.99999784. Round z to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q - 2*j + 10, -13 = -3*q - 5*j. Solve q = d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 17*y - 307 + 106 + 26 + 103.\nAnswer: 17*y + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 209 + 271. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 14*i. Suppose -6*g - 122 + 9284 = i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-10) - (22 + (-1060)\/50). Put -27, -13, d, 2 in decreasing order.\nAnswer: 2, d, -13, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318 is divided by 898?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 159a98 + 463?\nAnswer: 15a450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/16943 - -101564\/796321. Let q be 1 - (1 + 35\/(-94)). Let j = q + m. Which is the closest to -1? (a) -3\/16 (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287 - -47. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -157*u**2 - 2*u + 6. Let b(g) = -957*g**2 - 13*g + 37. Give 2*b(s) - 13*x(s).\nAnswer: 127*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*y = -25, -3 = -3*o - 2*y - 13. Suppose o*k = k. Let v = 0 - k. Solve v*i = -2*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(24\/(-36)). What is the nearest to -0.1 in b, 0.2, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31793 (base 12) to base 16\nAnswer: -fe1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4742)\/(-6))\/(-5 - (-8)\/3). Let j = 339 + v. Determine y so that 4\/7 + 2*y**3 - 4\/7*y**4 - j*y - 12\/7*y**2 = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:12 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18809, 29000, 39191?\nAnswer: 49382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193205730 a multiple of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*n + 1040, 3*x + n - 791 = -0*x. Let s = x - 263. Sort -38, 3, 5, s in descending order.\nAnswer: 5, 3, s, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1959 + 3626. What are the prime factors of u?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928200857 to the power of 1\/2, to the nearest integer?\nAnswer: 43911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 5 - -3 - (2 - 14 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010122211 - -10?\nAnswer: -10010122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2. Let f(p) = 2*p**2 - 5*p - 16. Let s(o) = -f(o) - u(o). Let n be s(-4). Solve 0 = -n*j + 7*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 1, -37, -1, 6\/5 in decreasing order.\nAnswer: 6\/5, 1, 0, -0.1, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 957, 1441, 1927?\nAnswer: 2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clpn when four letters picked without replacement from {p: 2, z: 1, c: 2, l: 1, n: 2, f: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 103820*q - 51880*q - 51940*q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from ssmb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (4 - (4 + 2 + 15)) + 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206143070 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*n - 823*n = 3*o + 8, 6*n - 2 = -30*o + 94 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6705*v - 120855. Give u(18).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (375\/(-20))\/(2 + (-25)\/12). What is the highest common factor of 50 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y - 736614 + 22*y + 736618.\nAnswer: 12*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -45 + 2299. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5 + 61332*s**4 + 797485*s**3 = 0. Calculate s.\nAnswer: -13, 0, 61345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/318 and -107\/30?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 15 = 2*s + 3*r, s - 5 = r. Suppose 3*c - 6 = 0, -4*b + 2*c + 106 = 3*c. Suppose -b = -s*p - p. Solve -w = 7*k - 2*k - p, 5*w = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1754*a - 3920. Let g be x(-2). Which is greater: -401 or g?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 5*v - 14 + 24 + 31, -3*v - 15 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g + 5 = -2*y, 2*g - 20 = 2*y. Let f(o) = 42*o**2 + 14*o - 32. Let k be f(2). Suppose 5*m = -134 + k. Solve -g*i = -2*i - m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + (-170050)\/20)*-2?\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 600884 (base 9) to base 10\nAnswer: 355018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.53 + -5.93. What is the smallest value in 5, -16, s?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1318*f**2 - 1 + 652*f**2 - 653*f + 668*f**2 in the form p*f + n + i*f**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*j**2 + 718*j**2 + 123*j**2 + 788*j**2.\nAnswer: 1349*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 739 = 5*q - p, 3*q = -2*p + 446. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -3. Suppose m = -3*m + 4*r + z, -5*r - 13 = -4*m. List the prime factors of (-1)\/m + (-27)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3*(-36)\/40 + (-1551)\/(-1155). What is the second smallest value in 0.2, j, 1.3, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l. Let w(s) = 11*s - 1. Let u(y) = -6*v(y) + 5*w(y). Let r be u(-2). Solve -i = 3*a + 9, -r*i = -0*a + 5*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-36))\/(-2 - (-8)\/6). Sort q, 5, 3, 2 in descending order.\nAnswer: 5, 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-90)*(118140\/179)\/165.\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 4. Let k = -4 + r. What is the second biggest value in 0, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 16\/1966805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49984841\/14 + 3572094. Let c = -1750 + g. Find the common denominator of c and 52\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4464.338ug in tonnes?\nAnswer: 0.000000004464338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 4*p + 3. Let f be t(-4). Let j = f + 5. Suppose -4*o + 92 + 8 = -4*h, -2*h - j = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j*j*j**(2\/5)*j)\/(j*j*j*j**(1\/4)\/j)**(1\/45) assuming j is positive.\nAnswer: j**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1925*t**2 - 108*t + 437. What is the units digit of y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 14 = 30 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*c + 4, -8 = -3*y + 59*c - 60*c. Solve 5*d = -v - 7, -1 = d - v + y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 + 109. Solve c = -9*i + 10*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let u(t) = t**2 + 15*t + 9. Let v be ((-2)\/5)\/(7\/245). Let z be u(v). Put 0, m, z in increasing order.\nAnswer: z, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 a factor of 201288612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 18 + 102 - 23 - 5 - 6*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose 16 = -4*r + 64. Suppose 2*q = -f*q + r, -4*p + 40 = -4*q. Calculate the remainder when 36 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -214 and 769 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/680*-12)\/((-1)\/(-5)*1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 36\/108*(616 + 3 + 5).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*x - 2*x**4 + 20*x + 0*x**4 - 4*x**4 + 3*x**4 - x**4 + (2*x**2 + 0*x + 0*x)*(-x**2 + x**2 + 2*x**2) + x**4 + x**3 - x**3.\nAnswer: x**4 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3498 + 132 = 0. Let r = i - -10081. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706*a**2 + 378*a**2 + 490*a**2 + a**3 + a.\nAnswer: a**3 + 162*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.69298 to 2 decimal places.\nAnswer: 29.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2497 + 2504. What is the smallest common multiple of 287 and m?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401569?\nAnswer: 7, 57367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 382*n - 1 + 1 - 380*n. Let t(g) = 14*g + 31. Let w(a) = 2*d(a) + 2*t(a). What is the first derivative of w(s) wrt s?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 98?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let t(k) = -4*k + 3. Let p(c) be the second derivative of 0 + 2\/3*c**3 - 2*c**2 - 4*c. Let u(h) = 3*p(h) + 4*t(h). What is q(u(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79383, -79415, -79473, -79569, -79715, -79923, -80205, -80573?\nAnswer: -81039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.48 and -2614.155508.\nAnswer: -2611.675508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 2*g - 2*g**2 + 9*g**2 + g to the form p*g**2 + x*g + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51888 less than 51887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 44. Differentiate 1 - a*m + 15 - 5*m + 0 with respect to m.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*l - 64, 4*m - 48 = -6*l + 2*l. Differentiate -8*g - 6 + m*g**3 + 8*g - 6*g**3 with respect to g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0 + 0)*((0 - 1 + 3)*(i - 16*i + 4*i) + 0*i + 2*i - 3*i + 0*i - i - i + (-4*i + i + 2*i)*(1 + 2 - 4) - i + 1 - 1 + 3*i - i + 0*i).\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(2\/11))**9*o\/(o\/(o*o*o\/(o**15\/o)))*o\/(o*(o**(-16)\/o)\/o*o) assuming o is positive.\nAnswer: o**(246\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2 = -2*l + 8, -4*k = -3*l + 2. What is the hundreds digit of -5 + 3 - k - -156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487*w + 2303*w + 3283*w.\nAnswer: 5099*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1902, 2043, 2182, 2319, 2454, 2587?\nAnswer: 2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*k = -134, 8*v = 4*v + 2*k + 120. Suppose 4*t + 7 - v = 0. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let p be (-22)\/(-18) - 2\/9. Suppose d*b + 4*t - 1 = 27, -p = b - t. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*b**3 + 130*b**3 + 1377*b**3.\nAnswer: 1472*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 28125*l + 1349917. What is s(-48)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/3 + 118*l**4\/3 - 1649*l**3\/3 + 6982*l**2\/3 - 11996*l\/3 + 7336\/3.\nAnswer: (l - 7)*(l - 2)**3*(l + 131)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywyppwpppw. What is prob of sequence pwyp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 265 = 51*h + 41. Sort -67, 2, -5, 3, h in decreasing order.\nAnswer: h, 3, 2, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c**2. Let v(k) be the third derivative of -7*k**4\/24 + 2*k**2 + 26*k. Calculate l(v(x)).\nAnswer: -392*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 2. Let l be x(1). Suppose l*f + 2637 = 5*a, 632 = 3*a - 3*f - 949. Suppose 4*t + a = 1372. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 370063381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/6*(1005\/6 - -2).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1008) + -1 - (sqrt(1008) + 0)*6 - -4*(((sqrt(1008) + -1 - sqrt(1008)) + sqrt(1008))*3 + sqrt(1008) - sqrt(1008)))**2 + 5 + 3)*-6.\nAnswer: -296886 + 9072*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68798 + 481587\/7. Let o = -11.2 - -11.153. Sort -5, v, o, -2\/11 in increasing order.\nAnswer: -5, -2\/11, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9925)\/190560)\/((-3)\/(-9))?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33276606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0092237 to four decimal places.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 210038 + 0.789\nAnswer: 210038.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - -1011011001100?\nAnswer: 1011010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5116?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 6197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*sqrt(66)\/sqrt(24))**2.\nAnswer: 12*sqrt(11) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -20583.55623 to the nearest 10.\nAnswer: -20580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpkq. Give prob of sequence qk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoro when four letters picked without replacement from {j: 1, o: 2, y: 10, r: 1}?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 7*o - 342*a + 338*a + 1, 0 = o - a + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 - 2*o + (2 + 2*o - 2)*(-2 + 2 - 2).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -67) + -49 + -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5898, 6987, 8062, 9117, 10146, 11143, 12102, 13017?\n\"Answer: -z**3 - z**2 + 1099*z + 4801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 13. Let j be 0 - 4383\/(-57) - (-54)\/513. Suppose y*k = k + j. What is the remainder when 52 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/40 and 10842\/(-9984) - 6\/21*-4.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/106935984 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1484811 to four decimal places.\nAnswer: 0.1485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b + 4*z + 20 = 40*b, -2*b + 8 = -4*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 p when four letters picked without replacement from apppcpppppccpccpcppc.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 1568?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18838 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 2\/13 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqvgglgggggyl. Give prob of sequence llgv.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4*16374\nAnswer: -65496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 20*u - 25\/3*u**3 + 5\/6*u**6 + 10*u**2 - 25\/4*u**4 + 13 + u**5. Let w(l) = 0. Calculate l.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + 0*d + 0*d + 0*d + d + (3 + 0 - 5)*(1 - 1 + d) - 1 + 1 - 2*d - 4*d + 6*d + 2*d)*(48*d + 55*d - 29*d).\nAnswer: 148*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -2 + 3 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 0, 3*j + 2*g = 4*j - 14509. Suppose -o = s - 2898, -2*o + 7*o = -2*s + j. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = 3*l. Suppose 40 = 4*g + 3*b + b, 4*b + 4 = l. What is the least common multiple of 8 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2020 - -2?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/90 and 26\/165?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2449*z - 99*z + 128748 = 1859*z + 36201 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81475 is divided by 13577.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -17. Let p be 1\/(-4) - 39\/q. What is the remainder when 4 is divided by p\/1*(5 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1814754*y*z - 8*z + 28523 with respect to y.\nAnswer: -1814754*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (780\/(-25))\/(1\/(-5) - 0). Suppose 0 = 16*n - k + 396. Calculate the remainder when (57 + -2)*n\/(-25) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36570 - 36345 = 15*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let u(w) = w**2 - 8*w. Let r(j) = 4*b(j) + u(j). Let f be (3 + -1)\/((-6)\/(-9)). Determine r(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from gguttutg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21301 times -0.04\nAnswer: 852.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((224\/(-14))\/(-384)*(-40)\/6).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + d = 36, -4*i + d - 6*d + 52 = 0. Suppose -26*a = -o - 22*a + 35, -4*a - i = 0. Calculate the remainder when 40 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -4, -1, -3, -96 in decreasing order.\nAnswer: 10, 3, -1, -3, -4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*w - 6 = 0, -2 = 3*w + 4. Find the common denominator of ((-6)\/(-8))\/(k\/15) and -55\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6\/3)*(-1 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(320)*2 + -4 + 5)**2.\nAnswer: 192*sqrt(5) + 3852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 46 = -26. Suppose -1192 = -4*r - x*z, 6*r + z = 2*r + 1176. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 23.3. Let x = j - 1.23. Let f = x + -0.07000006. Round f to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 6647?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6 - 3*d + 0*d + 2 - 6. What is the tens digit of q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27259 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 944 and 0.334.\nAnswer: 315.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22918032 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -534, -2147, -4836, -8601?\n\"Answer: -538*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.6 (b) 56 (c) 2\/9 (d) -0.2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttthtthrkhttt. Give prob of sequence hkt.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76.55547 and 0.3.\nAnswer: -22.966641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59601518 or -59601519?\nAnswer: -59601519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621557 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, -58 in increasing order.\nAnswer: -58, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 68 + -137.5659\nAnswer: -69.5659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1 + s - 7 + 2 + 0. Calculate the lowest common multiple of r(7) and (-2)\/3 - 5\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3451 and -111\/986?\nAnswer: 6902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 5:46 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v**5 - v + (328 + 189 + 715)*(-8*v + 4*v**5 + 8*v).\nAnswer: 4927*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7134 divided by 64?\nAnswer: -3567\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + t**2 + t + 5. Let k be w(0). Suppose -y - 7 = k*j - 1, 2*j + 2 = 0. Suppose 0*u - 9 = 3*u. Put -4, u, y in increasing order.\nAnswer: -4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2828323 or 2828334?\nAnswer: 2828323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5449 - -3147.\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d + d**2 + 51 - d**2 - 62 + 3*d**3 + 0*d**2 wrt d.\nAnswer: 9*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -21. Let n(b) = -8 + b**3 + 3*b - 6*b - 8*b - 4 + t*b**2. Give n(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 - 5*a**4\/24 - 39*a**2. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 - (149 + -93 - (-3 - 0) - -3)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-3 - 3*v**2 - v**2 + 3*v + 3*v**2).\nAnswer: -2*v**2 + 6*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.174 nanograms in grams?\nAnswer: 0.000000356174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-56)\/3)\/(-4))\/(61\/(-28365)*-62)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 24*i - 12. Let s(a) = -5*a**2 + 26*a + 13. Let z(d) = -4*l(d) - 3*s(d). Let k be z(11). What is the greatest common divisor of k and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 575315.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-31)*(l*l**(-3\/4))\/(l*l*l\/(l\/((l\/l**(-7\/4))\/l))*l))**47 assuming l is positive.\nAnswer: l**(-423\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54500, -109026, -163588, -218204, -272892, -327670, -382556, -437568?\nAnswer: -492724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9630 and 20370660?\nAnswer: 61111980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13104000 rounded to the nearest one hundred thousand?\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1114 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**4 + 3*k**2 + 18106962 - 18110632 - 106*k**3 + 4*k**2 wrt k?\nAnswer: -8*k**3 - 318*k**2 + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -5ac?\nAnswer: -5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1076 - -1268. What is the lowest common multiple of 27 and w?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 - 15\/5. Suppose w - 47 + 15 = -5*z, 3*z - 72 = -5*w. Suppose 3*v - d + 4 = w, 3*d = -5*v + 4. Put c, -4, v in descending order.\nAnswer: v, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 747 = 3*c + 142, 0 = -2*c - 4*i + 430. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 11*w - 7. Let y be v(9). Suppose y - 1 = 5*q. Let i = q + 3. Solve -2*n + 5*g = 17, 0*n + g = -i*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106941.186 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -181*k + 3063. Give u(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/168*(-147)\/42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 92*v - 233. Let k be d(-33). Suppose -4*b = -2*w + b + 15, -2*b - 6 = 5*w. Let u be 1 - (-1)\/((-2)\/(-8)). Sort k, w, u, 2.\nAnswer: k, w, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -292.636\nAnswer: -146.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -3, 5, 0 in increasing order.\nAnswer: -5, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240 + -458.97. Let b = 224.56 - 3.56. Let t = b + f. What is t rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Suppose 5*l + 892 = -5*g + 257, -4*l + 468 = -j*g. What are the prime factors of g\/(-14) - (-4)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (6 + -1 + -1 + (-36 - -41))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - u**2)*(-4*u**3 + 2*u**3 + 3*u**3) + 9*u**5 + 18*u**5 + 81*u - 84*u.\nAnswer: 26*u**5 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41057403 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**3 - j**2 - 2*j - 18. Let y(a) = -a**3 - 1. What is q(d) + 2*y(d)?\nAnswer: 3*d**3 - d**2 - 2*d - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/(z\/(((z**(-5\/4)\/z)\/z)\/z)))**(4\/25)*((z*z**(-2))**(-1\/2))**33 assuming z is positive.\nAnswer: z**(839\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/14551 - 28051\/15293101. Let p = -2128\/13663 - w. Which is the nearest to 0.4? (a) -1 (b) p (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 - 1035*m**3 - 41373*m**2 + 85839*m - 43434 = 0.\nAnswer: -38, 1, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5535, 11402, 18015, 25746, 34967, 46050, 59367?\n\"Answer: 62*u**3 + u**2 + 5430*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-55)\/(-1560)*4*(25 - 36) and 73\/324.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53861235 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 + 4*u + 3. Let c be h(4). Let k = -42 - -96. Suppose c*x - k = 51. Calculate the greatest common divisor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30948 divided by -10181?\nAnswer: 30948\/10181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 12:57 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 3*w - 119 - 224 - 86 in the form s + u*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 6*p + 12 = 0. Suppose p*g + 5*m - 4 - 15 = 0, g + 4*m - 11 = 0. Let j(d) = 2*d**2 - 5*d + 3. Give j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 184 - 122. Let a = -62 + m. Suppose -2*u - 3*u = -4*t + 62, 2*t + u - 24 = a. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 241*n + 27. Let u be c(-7). Round u to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52893 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 + 102*c**3\/7 + 16*c**2 + 24*c\/7 = 0. What is c?\nAnswer: -6, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 + 42?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6494*z + 122. What are the prime factors of v(2)?\nAnswer: 2, 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ab (base 16) to base 2.\nAnswer: 11110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 552 + -1228. Let m = c + 675.9999322. What is m rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - 2. Let q = -0.229 - 99.771. Let z = q + 102. What is the nearest to 0.1 in y, -2\/19, z?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 6*v - 18. Let p be ((-5)\/3 - (-8)\/12)*8. Let h be z(p). Let b(w) = 8*w**2 + 9*w. Let r(s) = s**2 + s. What is h*b(n) + 18*r(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + -1)\/(0 - -1). Let m(l) = -l. Let s be m(-6). Suppose s*t - x = t. What is the smallest value in -0.1, t, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72703259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + t + 1. Let h be q(-1). Let k = -1 - h. What are the prime factors of ((-8)\/5)\/(1\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 9*q**2 - 18*q.\nAnswer: -q*(q - 6)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/9 + 10*d**3\/3 - 14*d**2 + 98*d\/9.\nAnswer: -2*d*(d - 7)**2*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -23. Calculate the highest common factor of 22 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 15. Let z(q) = 4*q + 14. Let o(u) = -6*p(u) - 7*z(u). Let j = 16 - 10. What is the units digit of o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/16226 and 32\/1647.\nAnswer: 438102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(5*t - 4*t - 3*t) + 5*t**2 - 8*t**2 - 3*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 1117*d + 23 + 1123*d - 2242*d.\nAnswer: -2*d - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37243 - -69872. Calculate the highest common divisor of d and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -14*u. Let a(r) = 24*r**2. Determine a(j(v)).\nAnswer: 4704*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 643445 smaller than 643439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27972 and 1554?\nAnswer: 27972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 + 77183*p\/3 + 5957215489\/6.\nAnswer: (p + 77183)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 374 - 370. Suppose -4376 = -m + 4*n + 2753, 7113 = m + l*n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 849940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -257057 + 257057 - 3*m. Let w(s) = -3*s. Let p(g) = -2*c(g) + w(g). Let r(n) = -41*n + 2. Calculate r(p(i)).\nAnswer: -123*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 9*i**3 + 6*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a**3)\/(a**(-10)\/(a**(2\/15)*a)))**(-1) assuming a is positive.\nAnswer: a**(-212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -152 + 105 + 104 + (0 - 22)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772337 is divided by 161?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 19457*a - 17 - 19445*a.\nAnswer: 12*a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4 + 129*y**3 + 4670*y**2 + 31200*y - 36000 = 0. What is y?\nAnswer: -60, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 13*c + c - c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, w: 6, f: 1, n: 5}. Give prob of picking 1 w, 1 f, and 1 n.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.07 - -126.07. Let g = 58 - t. Let d = 65 + g. Which is the nearest to 0.1? (a) d (b) -9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b + 5. Let v(q) = 2*q**2 + 4*q + 5. Let x(c) = 4*f(c) - 3*v(c). Suppose 5*k - 5*l + 15 = 0, -3 = 4*k + l + 24. What is x(k)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 22*k + 57. Calculate the smallest common multiple of z(-20) and 11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 238 + -234. Which is the second biggest value? (a) t (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 - 741 = -5*r. Suppose -r + 7 = -4*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 33828*v + 1357920.\nAnswer: -3*(v - 40)*(v + 11316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 160648762, 160648757, 160648752, 160648747, 160648742, 160648737?\n\"Answer: -5*n + 160648767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/8 - 4)*2*-8. Calculate the common denominator of (-466)\/(-12) + 8\/l and (-7 + 3)*(-15)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79590127?\nAnswer: 79590127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 3664 - 1168. Let z = 318 + q. Solve 5*t = -1 + z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-5))\/(3\/(-4)). Let x be 2\/(-4)*(-66 - -66). Factor 0*j**2 - 2\/5*j + x*j**4 + 0 + o*j**3 - 2\/5*j**5.\nAnswer: -2*j*(j - 1)**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2.5, -16, 1\/3, 0.4 in decreasing order.\nAnswer: 1, 0.4, 1\/3, -2.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + (-3)\/(231\/(-16918)). Calculate the highest common divisor of 60 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175972988 + -175972987.28600251. Let h = 0.714 - c. Round h to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137 divided by -8400\nAnswer: -137\/8400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 216316, 432627, 648938?\n\"Answer: 216311*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -1 + (222 - 175).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*6\/(-4) + 0. Let g(l) = 2*l - 4 - 5*l - 3 - z. Let h(q) = -q - 1. Let x(v) = -g(v) + 4*h(v). Calculate x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -89. Suppose 0*z + 8*z = q. Suppose -3*d + 250 = w - 295, 3*w - z = 0. List the prime factors of d.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*z + 130, -q - 32 = 2*z + 8. Is q at most -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x**3 + x**2 - 8*x + 7. Let s be h(4). What is w in -2*w**3 + 733 + s + 114*w**2 + 452 - w**3 - 1188*w = 0?\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q + 12. Let d be l(0). Solve 2*i - d = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -2, 2, -5, 1\/7, -1\/5 in decreasing order.\nAnswer: 18, 2, 1\/7, -1\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 + (0 + -1)*-4. What is the highest common divisor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*l + 2, -r - 4*r + 18 = -l. Let m be (3 + -2)*r*24\/32. Solve -4\/3*v + 4\/3 + 4\/3*v**m - v**2 - 1\/3*v**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*j - 4*v, v + 3 = 2*j - 1. Suppose 2*u = 3*u + 2. Let o be (-2*1 - u)*1. Put -2, j, o in decreasing order.\nAnswer: j, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -3.\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -p, -11 = 4*n - 0*p + 3*p. Let t(l) = -2*l - 7. What is the units digit of t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 + 6*g = 0. What is g?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -2 - (29 - 33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18960 times 1\nAnswer: -18960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*c + 15, 0*j + 20 = -j + 4*c. Suppose j = -0*m + 4*m + 16, 2*d - m = 28. Is (-8)\/d - 130\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27325 = 4*g + 26191. Let k = g + 21226. Let h = k + -78583\/10. What is the common denominator of h and -32\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -240.26 smaller than -74\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2*743\/3. Suppose 5*x - 793 = -3*d, -2*d - d + 5*x + g = 0. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.387559 to the nearest integer.\nAnswer: -299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 106 - 118 = 0. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.2516 rounded to the nearest 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31915, 255188, 861201, 2041324, 3986927, 6889380, 10940053, 16330316?\nAnswer: 23251539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 times -24\nAnswer: -69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 30. What is the biggest value in b, 3, -2\/15, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n**3 + 2*n**3 + 4*n**3)*(-5*n - 3 + 2*n + n) as w + p*n + i*n**4 + x*n**2 + r*n**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*c + 3*i, 0 = 2*c - 2*i + i + 3. Let o(w) = -w - 6*w + 6*w + c. Give o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*n + 182 = -4*n, -4*b + 389 = n. What is the remainder when b is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6655 and 10065.\nAnswer: 1217865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29996, -29995, -29994?\nAnswer: -29993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 11:17 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 77, 140, 237, 386, 605?\n\"Answer: 3*l**3 - l**2 + 45*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*m + 3. Suppose f = 4*c - 29, 5*c - m = -0*c - 4*f. Let z(i) = 2*i - 2. Give z(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 5*m**2\/2 + m + 15. Give u(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + (sqrt(315)\/(sqrt(28)\/sqrt(4)) - sqrt(45)))*-3)**2 - (sqrt(25)\/(sqrt(5) + sqrt(5) + (sqrt(125) - 1*sqrt(125)) + sqrt(5)) + -1).\nAnswer: -sqrt(5)\/3 + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -10, 0.6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -20 - (50 + 47)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/81? (a) 1\/7 (b) -0.1 (c) 0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/5 - 1724*s**2\/5 - 4037*s\/5 - 1154\/5.\nAnswer: (s - 577)*(s + 2)*(3*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64564 (base 8) to base 6.\nAnswer: -324552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**3 + 6\/5*q**5 - 5\/2*q**4 + q**2 + 4\/3*q**6 + 0*q + 3. Solve w(u) = 0 for u.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.50057853*0.2.\nAnswer: 0.100115706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170 + -117. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 32 = -4*p - 10*s, -6 = 2*p - 5*s. Sort -6, -2, p in descending order.\nAnswer: p, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2236, 9066, 20450, 36388, 56880, 81926?\nAnswer: 111526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -9*w + 9*w + 5*w**3 - 12*w**2 - 17 - 12*w. Let b(u) = 0. Calculate u.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let j(c) = 9205175*c. What is j(o(a))?\nAnswer: 18410350*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 28*k + 7. Let b be u(-14). Differentiate 1 + 5*d**4 + d - 1 + 12 - b + 23 with respect to d.\nAnswer: 20*d**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**3 + 6*y - 6*y.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10052\/3 or -3352?\nAnswer: -3352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from {k: 1, s: 6, x: 7, d: 6}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.238 - 0.162. Which is the second smallest value? (a) 2\/15 (b) -2 (c) z (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-3))\/((-35)\/21) + (-270)\/(-45)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1005068609 to the nearest integer?\nAnswer: 31703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8696 + 72*l - 8696)*(-6 + 2*l + 5 + 9).\nAnswer: 144*l**2 + 576*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1)**(-6\/7)\/((s*s\/s**(-6)*s)\/((s*s**4)\/s)))**38 assuming s is positive.\nAnswer: s**(-1786\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*r + 3*r - 2*r)*(-2*r**2 + 17*r + 0*r + 3*r**2).\nAnswer: r**3 + 19*r**2 + 34*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 1:00 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ba8 - -2b5?\nAnswer: 3e6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 - 92. Sort -2, h, 71 in increasing order.\nAnswer: -2, h, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) -0.07 (c) 2\/49 (d) 47 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 12*a + 167. What is z(-18)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n + 0*n + 7*n)*(3 + 1 - 5)*(-37 + 56 - 44) to t + g*n and give g.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50881? (a) 1\/10 (b) 0.5 (c) 4 (d) -1\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-6 + 5 - 0). Suppose 3*t = -m*t + 1208. What are the prime factors of t?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/2*(-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, -1, 3\/2, 4, 3\/8, -2\/137?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 12*r - 18*r. Let d be 8\/64 - r\/40. Which is the nearest to 2? (a) -4 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2046 divide 271402136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2096780 and 79\/105720.\nAnswer: 12580680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 4*s - 2*s)*(-10 + 17 + 11*s + 3*s) as p + b*s**2 + r*s and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -28*y. Let b(z) = z**2 + 29*z - 68. Let h be b(-31). Let q(g) = 14*g. Give h*o(x) - 13*q(x).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4399\/9 - -489. Which is the third smallest value? (a) 4 (b) 5 (c) u (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491949707 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybnnyknbyky. What is prob of picking 2 y and 1 k?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29669466899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 - 10*r**2 - 11*r - 10. Calculate the remainder when 935 is divided by p(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -3. Sort v, 0, -1 in ascending order.\nAnswer: v, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - l. Let b be f(1). Let s be ((-1)\/(-1) - -3) + b. Suppose -s*j - 8 = 2. Let k(x) = -x**3 + 3*x + 3. Determine k(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dns when three letters picked without replacement from dgdns?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 105412.\nAnswer: 1054120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -55*x + 1099. Give u(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/4 + 0 - -1 - -32. Let b(p) = -4*p + 231. What is the remainder when b(d) is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(320) + sqrt(320) + (-2*sqrt(25))\/sqrt(5) + -1 - -5*((sqrt(5) + 0 + 1 - sqrt(5)) + 2*sqrt(5)*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100 (base 2) to base 6.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37242.89t to micrograms.\nAnswer: 37242890000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422730 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 13*c + 14. Let i(k) = k**2 - 15*k + 51. Let a be i(11). Determine q(a).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 916492651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 7*k**2 + 10*k - 5. Let v = 17 + 4. Suppose -7*c = -10*c + v. Is m(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -33*l**2. Let j(w) = -26*w**2. What is m(j(s))?\nAnswer: -22308*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 49*v + 364. Calculate z(-51).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3497388374 - -0.046.\nAnswer: -3497388373.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/2*4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 23 = -5*c + 5, -9 = 7*c - 5*r + 6*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -3)\/(4\/60). Let t(f) be the first derivative of f**2 - 17*f + 12. Calculate the remainder when 63 is divided by t(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - -9 - (-1 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 - 3*d - 3. Let v be m(-1). Does 10 divide (-3899)\/(-7) + -7 + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -7a?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2527675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -35, -23, -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a. Let z(y) = 122447108*y. Calculate z(j(u)).\nAnswer: 612235540*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -3, 6, -7 in descending order.\nAnswer: 6, 4, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 14*i**2 + 181*i - 4. What is the remainder when 710 is divided by z(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32b80 (base 12) in base 11?\nAnswer: -46662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 take away -4493.4?\nAnswer: 4494.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21*(-14)\/(-18))\/(30*29\/(-145)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/63303 - -189905\/126606. Put p, -3\/1351, -1 in increasing order.\nAnswer: -1, -3\/1351, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 117*c = -567 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4906*d**2 + 24*d + 0 + 4901*d**2 - 5 - 9*d - 6. Let u(g) = -2*g**2 + 7*g - 5. Calculate 4*r(j) - 9*u(j).\nAnswer: -2*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -5, -16, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*v + 3 - 31*v + 6*v**2 + 23*v - 4 as q + j*v + c*v**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 5*n**2 - 7*n + 2. Let o be k(-6). Let j be (o\/(-66))\/(14\/(-21)). Which is the smallest value? (a) 5 (b) j (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/16)\/((-239)\/(-478))*-112?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25942 is divided by 7902?\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 9225.\nAnswer: 101475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 139 - 158 - 127*j)*(0*j + 0*j + 3*j).\nAnswer: -381*j**2 - 30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4*q = 8. Suppose -48 = -4*h - q*l, -9 - 11 = -5*l. Let w = -3 + h. Solve 2*i - w*p = 0, -5*p = i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*z + 36 = 0, -3*y - 9 = -3*z - 45. What is v in 20*v**2 - y + 4*v**3 + 8 - 32 + 12*v = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16 - (1 - -3)\/16. Suppose 6*i - q - 15 = i, 4*q = x. Solve 0 = -3*d + 4*c, -4 = i*d + 4*c + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -16. Suppose b*r + 0 = 4*d + 26, 3*d = 2*r - 19. Solve 1 - 5 = -r*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let t = f + -2. Sort 5, t, 4 in ascending order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.1 - 0.1. Let z = -4 + r. Let m = -547975 + 547973. Which is the biggest value? (a) z (b) m (c) 4\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2309*d**2*p**3 + d**2*p**2 + 8*d*p + 19*p**3 + 390 wrt d.\nAnswer: -4618*d*p**3 + 2*d*p**2 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2085 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbxbbcjjdbja. What is prob of sequence cbbd?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*g**2 + 24 + 19*g**2 + 87*g**4 + 20*g**2 - 13*g**4 with respect to g.\nAnswer: 296*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3669, -7897, -12743, -18207, -24289, -30989?\nAnswer: -38307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 551400.18 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4506.2 + 5181. What is n rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*b - 3 - 5, 3*b = -3. Let g = y - -1. Find the third derivative of 4*m**3 + g*m**3 + 3*m**2 - 6*m**3 wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3 - 40*j**2 + 39 with respect to j.\nAnswer: 3*j**2 - 80*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755755135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19341 and 1197?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 469518+-0.0062769831\nAnswer: 469517.9937230169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -35.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918 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: Let x be ((-124)\/(-5))\/4 + (-5)\/25. Let k be (112\/1071 - x\/(-51))*9. Solve 3*r = -3*b + 2*r - 12, -k*r + 8 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkkjjkkkjkjjjjjjjkj. Give prob of sequence kkj.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -419*x + 2514. Let z be h(6). Which is bigger: z or 3\/4105?\nAnswer: 3\/4105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 - 26*z - 16. Let d(u) = 10*u**2 - 2*u + 3. Let o be d(1). Calculate the remainder when j(o) is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 16. Suppose 0 = -3*t + 15 - 3. Suppose 39 = t*a + 15. Sort y, a, 3 in ascending order.\nAnswer: y, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.1? (a) -2 (b) -30\/19 (c) -3\/4 (d) -2\/9 (e) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*z, -2*z - 3*z - 36 = -2*a - 9*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h + 434 - 394. Solve 5*q = 3*l - h, 16 = -5*l + 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122826425 is divided by 1308?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 5*i + 9. Let l be k(-17). What is the units digit of l\/(-27) - 2\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 201675*v**2 + 1008312*v - 806640.\nAnswer: 3*(v - 67220)*(v - 4)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04512 rounded to 3 dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1174924, -1174921, -1174918?\nAnswer: -1174915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 1, d: 1}. Give prob of sequence df.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-9)*0*-1. Suppose -4 = -2*s - c*s. Suppose s*q - 5 = 3*v, -2*q + v - 2*v + 25 = 0. Solve q = -0*h + 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2999 divided by 6\nAnswer: 2999\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - f**2 + 27 - 76 - 62 as p + v*f**2 + h*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.6512 and 17.8.\nAnswer: -385.39136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204482 is divided by 284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 46905 = p, p - 57977 + 11078 = 3*r. What are the prime factors of p?\nAnswer: 3, 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -12. Let w = -11306 + 11296. Which is the second smallest value? (a) k (b) w (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62033429 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -38*r + 10. Let o(k) = -12*k + 3. Let t(q) = 2*f(q) - 7*o(q). Let l(n) = 2*n - 1. Let g(w) = -6*l(w) + 2*t(w). Calculate g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127705550 is divided by 85?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483 times 1?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -15. Let h be (v - 1) + -26 - -1. What is the common denominator of 59\/16 and 0\/(-2) - (-190)\/h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521929 to the power of 1\/2, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**1*h*h*h*h)**(-16)\/(h**(-2)\/(h\/h**5*h))*(h\/(h*h*h*h**(1\/4)))**(-5)\/(h**(-2))**(-3\/38) assuming h is positive.\nAnswer: h**(-7745\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 836, 2062, 3288, 4514, 5740?\nAnswer: 6966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1401 = 21*l - 1287. Calculate the greatest common factor of l and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-56) + (-11)\/4)*-12. Calculate the greatest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjfg when four letters picked without replacement from {c: 1, g: 2, w: 1, f: 4, j: 2}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.57 - -1.27. Sort q, -4\/7, -1\/9.\nAnswer: -4\/7, -1\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 - (-116 + 62) - (-47 + 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1bb3c (base 14) to base 2\nAnswer: -10001010010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1829.6 - -1830. What is the third biggest value in 0.08, 3\/8, w, 25?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651 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: Let f(t) = t**2 - 7*t - 1. Let y be f(6). Let c = y + 11. What is the remainder when 10 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4826038709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*((-3*sqrt(425)*-1 - sqrt(425)) + sqrt(425))*-3 + 1)**2.\nAnswer: -180*sqrt(17) + 137696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 742*j**2 - 7*j + 19. Let d(m) = 246*m**2 - 2*m + 6. Give -7*d(t) + 2*n(t).\nAnswer: -238*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2864 and 15066788.\nAnswer: 60267152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 + 2*t**2 - 7*t**2)*(4*t - 6*t - 2*t - 2 + 2 - 2*t + 0 + t + 0 + (-3*t - 2*t + 4*t)*(-2 + 3 + 1) - 4*t + 5*t - 2*t)*(1 - 1 + 3).\nAnswer: 288*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q)\/(q\/((q*q**(1\/2))\/q)))**7\/(q\/((q**6*q)\/q)*q**1*((q\/(q\/(q*q*q*q\/q**(-4\/5)*q))*q)\/q*q)\/q**(2\/15)) assuming q is positive.\nAnswer: q**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 1 + 0*y + 2*y. Let s be u(1). Let p = 56 - 53. Solve p*z - z = -s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -17.1?\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*z + 3. Let s = 6 + z. What is the greatest common factor of 65 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 2, -3 in decreasing order.\nAnswer: 2, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syyysyyyssyysysyyy. Give prob of sequence sss.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1046 and -0.49.\nAnswer: -512.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13734 + 6856 + 6880 + 4056*a)*(0*a**2 + 2*a**2 - 3*a**2) to the form n*a**2 + t*a + l + i*a**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 35798*w. Let z(d) = d. Determine z(r(a)).\nAnswer: 35798*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q + 50*q - 200 = 0. Calculate the greatest common divisor of 1300 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h - 0*h. Let l(t) = 39*t**2 - t + 1. Suppose -3*f = -x - 8, 12 - 40 = -2*f - 5*x. What is the remainder when l(h) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4629 - -10795?\nAnswer: 15424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -31. Solve -3*y - 2 = -g, -4*y = -g - 8*y + o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 6312 = 5542 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13c6 + 102?\nAnswer: 14c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:08 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3 - 199*m**2 + 13*m - 7. Let w(a) = 3*a**3 - 132*a**2 + 9*a - 5. What is 7*w(f) - 5*y(f)?\nAnswer: -4*f**3 + 71*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3 + 1008*g**2 - 169344*g + 9483264 = 0.\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.08, 2934661 in ascending order.\nAnswer: -0.1, -0.08, 2934661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u**2 - 3*u**2)*(3*u - 3*u + u**2) - 2*u**4 - u**4 + 2*u**4 + 2*u - 44 + 3*u**4 + 43 + 3*u**4 + (u + 0 + 0)*(-2*u**3 - 2*u**3 + 2*u**3).\nAnswer: 2*u**4 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r = 43*r + 125 - 13 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 0.5, 4\/5, -8, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {u: 1, j: 4, i: 2, m: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*r - 91*r = -200*r + 615 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1203615527.\nAnswer: 1203615520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*t - 67*t - 52*t - 6*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*z**4 - 752*z**3 + 16367 with respect to z.\nAnswer: 36*z**3 - 2256*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19004a7 (base 12) to base 5.\nAnswer: -2314214200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 81683, 81684, 81687, 81692?\n\"Answer: h**2 - 2*h + 81684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, z: 1, t: 6, x: 1, i: 1}. What is prob of sequence iz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*b + 4*b. Let p be 1*4 + 52 + -33. Suppose -37 - p = 12*y. Sort 5, b, y in ascending order.\nAnswer: y, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -103, -85, -47, 17, 113, 247, 425?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.13, 34, 0.4, -2, 8 in descending order.\nAnswer: 34, 8, 0.4, 0.13, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, n: 2, z: 1, m: 2, x: 4}. What is prob of picking 1 x, 2 t, and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 5:39 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*(-20)\/(-3300)*30?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 0, r + 8012 = 5*r - 3*m. Suppose 291 - r = -4*c. What is the remainder when c is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183 + 151 - 334 - 20521*s to h*s + m and give h.\nAnswer: -20521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.59732 times -0.5?\nAnswer: -4.29866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -737390 rounded to the nearest ten thousand?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isp when three letters picked without replacement from iiisiiiippiiiiiii?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let i(l) = 13*l + 9*l - 19*l. Let t(d) be the second derivative of d**4\/6 + d**3\/6 - 2*d. Let y be t(1). Give y*i(p) - 8*n(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*q**3 - 13*q**2 - 8 - 500*q**3 + 8 - 4*q**2.\nAnswer: -736*q**3 - 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/((-315)\/(-1480))*(-14)\/4. Calculate the greatest common factor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 25*w + 28*w - 60 = 0, 3 = w for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3)\/p)**(9\/2)\/((p\/(p\/p**(-1)))\/(p\/(p\/(p*p**(2\/13))*p*p)*p)))**(1\/12) assuming p is positive.\nAnswer: p**(-21\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(132)\/sqrt(4) + (sqrt(33) + (sqrt(33) - sqrt(132)\/sqrt(4)))*-2)*-1)\/(-4*(sqrt(75) - sqrt(75)*-2)*2).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 440?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = -5*h. Suppose h*s + b = -3 - 12, -2*b = 2*s + 18. Let n(i) = i**3 + 5*i**2 - 7*i - 1. Let z be n(s). Let m(j) = j - 2. Determine m(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-340)\/6)\/(22\/(-33)). Let o = b - 48. What are the prime factors of o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j = 2766057 - 16597302. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50534*z**4 + 122*z**2 + 15*z - 2?\nAnswer: 1212816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 157?\nAnswer: 3\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, 73 in ascending order.\nAnswer: -13, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(-6))\/((3*(-6)\/378)\/(986\/(-3451)))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u + 5*w + 5, -5*u + 22 = w. Let n be 4 - 6 - (-6 - -1 - -2). Solve o = n - u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 85 = -3. Suppose y = -2*s + 68. Calculate the remainder when 97 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 0.25. Let g be (-222)\/21 - -10 - (-25)\/56. Which is the nearest to 0.1? (a) g (b) j (c) -0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(336\/378)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvl when three letters picked without replacement from vllllllvvlvv?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 4431?\nAnswer: 4424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 + -0.9. Let x = 4.4 - i. What is the second smallest value in x, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i - 10. Let l be r(4). Let t = -5 + l. Which is the closest to 1\/3? (a) t (b) 1 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 31344?\nAnswer: -1253.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c**2 + 18*c - 11. Let z(t) = 14*t**2 - 19*t + 13. Let s(u) = -6*l(u) - 5*z(u). What is the remainder when s(-3) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -17, 4 in descending order.\nAnswer: 8, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -34*y**2 + 26*y - 17. Let u be i(-8). Let v = -1100 - u. What are the prime factors of v?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17480\/828)\/95)\/((-5)\/(-27)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + g + 0*g - g + 2*g + g + (-3 - 2 + 3)*(0*g + 2*g - g) + 3*g - g - 4*g - 17*g - 11*g + 6*g.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h + 5*h**3 - 2*h**3 - 9*h + 2*h**3 wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 - 433 + 1048 + 942 = 176*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 1274471?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 - 27 = 0. Suppose -5*g + x = z, z = -2*z - 2*g + 53. Find the second derivative of 4*a - z*a**3 - 37*a + 16*a wrt a.\nAnswer: -102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632712, 632710, 632714, 632730, 632764?\nAnswer: 632822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 309, 624, 939, 1254?\n\"Answer: 315*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -62a0?\nAnswer: -62a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135*k**2 + 54285*k - 67687537 wrt k.\nAnswer: -270*k + 54285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 13\/3, 0 in ascending order.\nAnswer: 0, 0.7, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 1. Suppose 217 + 663 = -10*s. Let k = 96 + s. Give n(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/(-4)*(-9)\/(54\/(-12)). What is the derivative of 72*k + 18 - 37 - 89*k - y wrt k?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*l - 611, h + 48*l - 53*l = 295. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2479*s**3 + 2482*s**3 - 4955*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/4 + (-2)\/(-16)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6 + 16. Let k = o + -5. Suppose q + 10 = -6*w + 2*w, -5*q = -w + 8. Which is the second smallest value? (a) -0.4 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 131 + 7 = 0. Let z = -90 + 122. Are z and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 + v**4 + 0*v**4)*(-1 - 1 - 2) + (-2*v**2 + 3*v**2 - 2*v**2)*(v**2 - 17*v**2 - 41*v**2).\nAnswer: 65*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6675 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let w be n + 4*(-32)\/81. Let s = w - -7303\/162. Find the common denominator of s and -39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*q**3\/19 + 8656*q**2\/19 - 4322*q\/19 + 540\/19.\nAnswer: -2*(q - 270)*(4*q - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7734*l**2 + 251*l - 187. Let b(n) = -2578*n**2 - 84*n + 73. Let p(h) = -8*b(h) - 3*z(h). Find the second derivative of p(g) wrt g.\nAnswer: -5156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-6)*50\/35*(-180)\/102. Is 0.1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 - 6440396*o**3 - 60566452*o**2 wrt o?\nAnswer: -24*o - 38642376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/40 + 5*s**5\/4 + 21*s**4 + 72*s**3 - 35*s**2. Factor i(r).\nAnswer: 3*(r + 1)*(r + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13547?\nAnswer: 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10*i + k - 230, 3*k = -2*i - 109. Let o be 145 - 2\/4*(-1 - 3). Suppose 1 - 7 = -3*v, 0 = 3*u - 3*v + o. Is u at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1, -0.7, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (14 + 7 - (23 + 21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from roooroorrrroo?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 16) to base 3\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, -15, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 65*d**2 + 73*d + 116. Calculate j(-64).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17391816 a multiple of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*t = -5 - 21, -3*x + 9 = 3*t. Let n(s) be the second derivative of s**5\/20 + s**4\/6 + s**2\/2 + 3*s. Let h be n(x). Solve -u + h = -0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - s - 2. Let h be i(2). Let v(k) = -k**2 + k + 3. Let g be v(h). Let p(w) = w**3 - 4*w**2 + 2*w + 2. Let l be p(g). Is 1\/3 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/(25*8\/(-200)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/21550 and -47\/16?\nAnswer: 172400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 261 = a + 3*a, 5*c + 70 = a. Suppose -5*i = -35 - a. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.515875 and 1.3?\nAnswer: 0.6706375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*k**3 - k**3 - 2*k**3)*(-k - 4*k + 4*k) - 7*k**4 + k**4 - 5*k**4)*((0 - 1 + 2)*(k + 2*k - 2*k) - k - k + 3*k).\nAnswer: -24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/341 and -137\/113346?\nAnswer: 38650986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -21. Determine s, given that 0*s**2 + 1\/3*s**4 + 0*s**n + 0 + 0*s = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 6929364?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -1485, -3426, -6009, -9156, -12789?\nAnswer: -16830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*m - 6. Suppose r - 15 - 7 = -o, 4*o = m*r - 14. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*6.20535.\nAnswer: -2.5441935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, o: 11}. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181312802 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 167 = 6*c. Let q = c + 22. Let a(j) = -j**2. Let l(v) = -4*v**2 - 2*v**2 - 2*v**2. Determine q*a(t) + 2*l(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12611*5.1.\nAnswer: 0.643161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2906564.\nAnswer: 2, 726641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:58 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 - -116. Let v(r) = r**2 + 5*r - 8. Let b be v(g). Let s(p) = -p**3 + 2*p + 2. What is s(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 3*o**2 - 5*o**2 + 13 - 7*o + 3*o**2. Let h be i(-8). Solve -p = -h*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 5*j**2 - 3*j - 3. Let f be c(4). Let m be 12\/(1\/f + 0). Solve 4*h - m = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22018 is divided by 1102?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -12 (c) -0.219 (d) 3 (e) -1\/6 (f) 2\/59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223787?\nAnswer: 59, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*k - 571*k + 247*k = -5338 - 5957 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -194226 < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:09 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*j - 36*j - 3888 = 0. What is the lowest common multiple of 24 and j?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + b7?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o - 86 + 525 = -911 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.051 - 3.051. Let y = -7 - m. Which is the closest to -0.1? (a) -1\/4 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 2 - (-76 + 66)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151259710787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from svsvvggvsssgsgvs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 7*x**6\/24 - 94*x**5\/3 + 8325*x**4\/8 + 1215*x**3 + 6*x**2 + 3. Suppose y(l) = 0. Calculate l.\nAnswer: -2\/7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52, 47, 30, 1, -40?\n\"Answer: -6*s**2 + 13*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -214311 (base 7) in base 5?\nAnswer: -2200132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 8*w - 6. Suppose -8*z + 6*z = 12. Let n(y) = 0*y**2 + y**2 + 6 - 6*y + 0*y**2 - 2*y**2. Let x be n(z). Give q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 6, n: 1, z: 1}. What is prob of sequence zp?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008122868 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 26145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = -5*y - 271. Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*t - 264*t = 623*t + 64960 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.198397 days?\nAnswer: 276341500.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25362 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 3)*-5 + (sqrt(891)*-3)**2*3 + ((sqrt(891) - -5*(sqrt(891) + 2*sqrt(891)))**2 - -3*(sqrt(891) + 0)).\nAnswer: -18*sqrt(11) + 252138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 0 + 480\/7*g**4 + 14400\/7*g - 480\/7*g**2 - 4\/7*g**5 - 14396\/7*g**3 = 0.\nAnswer: -1, 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4473, -8829, -13185?\nAnswer: -17541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 211 - 173 - 107 + 0*w - 99 - 54*w wrt w.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -7 + 16 + -28\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.003 (c) 0.5 (d) -2\/3 (e) 103 (f) 322\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 9*c**2 - 9 - 5 - 4*c + 0 + 2*c**2. Suppose 2*j - 24 = -n, 0*j - 2*n = -j + 2. What is the tens digit of o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/11))**5\/(u*u*u**13*u*u*u\/(u\/((u**(-4\/9)*u)\/u))))**(-46) assuming u is positive.\nAnswer: u**(73324\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u**(-8)\/u*u*(u**(2\/11)\/u*u)\/(((u\/u**(-4\/3))\/u)\/u) assuming u is positive.\nAnswer: u**(-434\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1228067 * -1\nAnswer: -1228067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*o*s**3 + 3399*d**3*o*s**2 - 9*d**3 + 20*d**2*o*s**3 + d**2*o*s - 14*d**2 + 59*d wrt d?\nAnswer: 12*o*s**3 + 20394*o*s**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3575248*n - 1256. Let t be s(-3). Round t to the nearest 100000.\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghgghrhrggrghrrrrg. Give prob of sequence rr.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 3, 22, 59, 120?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4\/4 - i**3\/6 - i**2\/2 + 3*i + 1. Let c(z) be the first derivative of w(z). Calculate c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -425 in -56\/55, -0.4, 0.3, 1\/45?\nAnswer: -56\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**4\/12 - u**3\/2 + 3*u**2 + 2*u. Let f(a) = -4*a**2 - 12*a + 24. Let n(c) = 2*f(c) - 9*l(c). Is 8 a factor of n(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*i - 3414, -4*w = i + 353 - 1198. Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 2\/(10\/(-45)))\/(6\/1083). Calculate the highest common divisor of r and 342.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 2. Let n be t(4). Solve 3*v = 5*v - n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {u: 9, i: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 2, z: 2}. What is prob of sequence zuu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125651*u**3 - 109401*u**3 - 76791*u**3 - 319473*u**3.\nAnswer: -631316*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**37*u*u))\/u**(-39) assuming u is positive.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712989 is divided by 4189.\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 174507365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 + -3)*3\/(-2). Suppose 0 = -10*f + 5*f - 75. Let z be (-288)\/(-2)*f\/(-20). Calculate the greatest common divisor of z and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -2. Let f = 993 + -1006. Which is smaller: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194 - 123. Let q = -315 - x. Put 0.1, q, 12 in increasing order.\nAnswer: 0.1, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:49 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - 40. Suppose -240 = -16*f + z*f. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-6))\/(3250\/15600).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4832.01 to the nearest 10.\nAnswer: -4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 151843682 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87594368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 7 = 5. Let g(x) = -6*x**3 - x**2. Let j be g(b). Solve -3*k = 5*s - 5, j*s = 2*s + 2*k - 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*s - i, 2*s + 5*i = s - 12. Solve s*m - 4 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -2*m**5\/35 + 5*m**4\/14 - 6*m**3\/7 + m**2 - 4*m\/7 + 4. Factor a(q).\nAnswer: -2*(q - 2)*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 2 - (-5 - -2). Let n be (-3)\/d*20\/(-15). Solve -2*t - 4 = -n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 61 - (-84)\/3)*(-72 + 2).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 4:29 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1716 and 27724620.\nAnswer: 360420060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4 - 1. Let c(n) = -3*n. Let g(k) = 66*k - 1 + 68*k + 73*k - 272*k + 69*k. Suppose -3*i + 4 + 2 = 0. Determine f*c(o) + i*g(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**5 - 455*z**4 + 5245*z**3 - 13405*z**2 - 19110*z = 0.\nAnswer: -1, 0, 7, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -58. Solve -3*d = 5*s - 11, 13 = -3*d - w*s + s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778524?\nAnswer: 2, 11, 83, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -11*n + 589. Give a(53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 + 51 = 7*h. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635843?\nAnswer: 13, 59, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f**4\/17 + 434*f**3\/17 + 858*f**2\/17 + 486*f\/17 + 44\/17 = 0.\nAnswer: -22, -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8886, 17772, 26658?\nAnswer: 35544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f + 41. What is u(15)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44802 by 1094.\nAnswer: -22401\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 49838.44mg?\nAnswer: 49838440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -309 + 308. Let q = -11 + 4. Let r be (4\/26)\/(q\/(-7)). What is the smallest value in f, -2\/7, -0.5, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -12060?\nAnswer: -12064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2132, 886, -1182, -4072, -7784, -12318, -17674?\nAnswer: -23852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22989\/1659 - (-6)\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55751807 at most -55751807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 (base 3) in base 16?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210 + -209.9198. Round j to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6*-6*(-3)\/(-60)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-5))\/u)**(1\/10) assuming u is positive.\nAnswer: sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79741.3 minutes in milliseconds?\nAnswer: 4784478000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))**(-15\/4))**33\/((l\/(l\/l**(-1)))**(-4\/11)*(l*l**(-6)\/l)\/l**(-2\/3)) assuming l is positive.\nAnswer: l**(164\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62\/5*g + 0 + 1\/5*g**2.\nAnswer: g*(g - 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*b + 10, 6*i - 5*i = -4*b - 18. Is (0\/((-6)\/i))\/2 - -4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 652354 and 184264.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1114641000 to the nearest one million.\nAnswer: -1115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/9)\/j)\/j)\/(j*j\/j**(-6)*j)*j**(-7)*j*j*(j\/j**(-5))\/j)\/(j*(j*j*j**(3\/8))\/j*j*j\/j**(-3))**(-20) assuming j is positive.\nAnswer: j**(2459\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 4. Let q be p(9). Let n(o) = -o**3 - 5*o**2 + 6*o + 3. Let g(w) = w**3 + 5*w**2 - 7*w - 4. Let b(u) = -5*g(u) - 6*n(u). Determine b(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364388.5 milligrams in grams?\nAnswer: 364.3885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 132 + 582 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.12 - -0.12. Let l = s - -2. Let q be (0\/(-3) - 0) + 0. What is the nearest to q in l, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f - 63. What is s(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 21*x**2 + 2*x**2)*(-1 - 2*x**2 + 1) + 1 - 1 + 3*x**4.\nAnswer: 45*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -21. Is s >= 1\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = -s - 8, 0 = s - y. Suppose 5*c + 37 = -3*m, 6*m = 5*c + 2*m + 44. What is the third biggest value in s, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1042102?\nAnswer: -1042100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i**2 - 2 + 154*i**6 - 162*i**6 + 2 wrt i?\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -67882\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1931 (base 11) to base 15.\nAnswer: ad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20682 + 1795. What is j rounded to the nearest 100?\nAnswer: -18900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1)\/((45\/(-6))\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1703 and 0.057?\nAnswer: 97.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 25. Let a = k + -14. Are a and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2451 divided by 50768\nAnswer: -129\/2672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - -19. Let d be (5\/(50\/(-4)))\/(1\/40). Let b = d + f. Solve s = 5*m + b, 2*s - 2 - 8 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2755307, 2755059, 2754811?\n\"Answer: -248*q + 2755555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -149162 * 1.69\nAnswer: -252083.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41498 is divided by 1225.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -66538 divided by 1957?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {a: 4, d: 2, x: 1}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1146*d**2 - 3364*d + 160. Give p(-3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2. Let j(d) be the second derivative of d**3\/6 - 11*d. Determine j(q(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5018 - 5014. Let n(w) be the third derivative of 0*w + 1\/15*w**3 - 1\/60*w**j - 1\/75*w**5 + 0 - w**2. Factor n(t).\nAnswer: -2*(t + 1)*(2*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-12)\/(-3))\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p + 2*u - 14, 0 = -4*p + 3*u - 17. What is the hundreds digit of p\/(-2)*(-7 + 112)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1460*l - 13 + 19 + 1459*l. Let c(y) = -4*y + 2. Let f(x) = 3*x - 2. Let i(w) = -5*c(w) - 6*f(w). Let b be i(2). Calculate u(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + 1. What is the highest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/8, 2903, -4, 4 in increasing order.\nAnswer: -4, -1\/8, 1, 4, 2903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1411*-631\nAnswer: 89.0341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108.3 + 107.9. What is the nearest to -0.5 in -3\/2, c, 4\/3, 1\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307 - -312. Which is the biggest value? (a) r (b) -10 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 11*y + 42. Give t(10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -3*sqrt(1323))\/(sqrt(9) + sqrt(2304)) + (sqrt(108)*1)\/(sqrt(288)\/sqrt(8)).\nAnswer: -3*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = -5*s + 7, -5*v - 3*s = -12. Suppose -3 = -v*a - y - 8, 4*a + y = -8. What is the units digit of a\/((-3)\/(-2)) - -85?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-5 + 4 + 4)*(-18*m - 2*m - 11*m).\nAnswer: 93*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 19*u**3 + 16*u**2 - 6*u - 8. Let w(z) = -6*z**3 - 5*z**2 + 2*z + 3. Let p(c) = 2*m(c) + 7*w(c). Let j be p(-2). Solve -6*s - j = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21203799 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: Solve 2*j + 2*c - c = -9, -5*c = 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 404*k**2 - 21*k + 11. Let c(a) = 81*a**2 - 4*a + 2. Let l(o) = -11*c(o) + 2*p(o). Let q be l(-6). What is q rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-24 - -19)) + 3 - (1 - -14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-64 + -3))*4\/10. Let p = 23 - n. What is the biggest value in -0.1, -1, p, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -14*v + 121. Is 22 + (-14 + v - (-1 + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*p - 0*p + 3*c, 6 = 3*c. What is the remainder when 59 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.074 + -0.064. Sort q, -2\/7, -0.1 in descending order.\nAnswer: q, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.97 + 4.27. What is the nearest to 2 in 35, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49643 is divided by 49635.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - 4) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19\/4, 16, 0.1, -0.5, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -4*i - 32. Let y(d) = -45*d**2 + 21*d**3 - 3 + i*d**2 + 4 + 19*d**2. What is y(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -2\/7 (c) 73 (d) 1.7 (e) -1\/8 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 12:37 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356470 and 8815?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19664.58nm to centimeters.\nAnswer: 0.001966458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3399169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3997281159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1386, 6383, 18604, 41661, 79166?\nAnswer: 134731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/34, 0.3, 62?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 2*d + 8, 4*r - 23 = d - 42 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23875963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1918 + -1918. Solve s = 3*d - 9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 19837702.\nAnswer: 1527503054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 4. What is the remainder when 70 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - x + 29 = 0, 5*i + 3*x + 8 = i. Let z = 31193 - 31188. Sort 3, z, i, -0.07.\nAnswer: i, -0.07, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -91. Let q be f\/8 - (9 + (-2277)\/252). Which is the second biggest value? (a) 0.5 (b) q (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60083299 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*1*sqrt(80)*-3*-6)**2*2.\nAnswer: -1866240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86282839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-2040))\/(4\/(-20))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1395)\/(-155) - (-2)\/(-18)*91. What is the nearest to -3\/2 in -2\/19, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 divided by 191?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18243 is divided by 16790.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 1. Let f = 11 - 1. Let s be (f\/(-6))\/((-4)\/12). Let o(k) = k**2 - 6*k + 5. Let v(i) = s*a(i) + o(i). Determine v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -164*s + 3. Let i be r(0). Solve -i = -v - w, -23*v + 4*w = -22*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 6)*(2\/(-6) - (-40)\/(-45)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 3*v**2 + v + 9. What is the least common multiple of -1*(-9 - (1 - 1)) and y(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1802 in -181, -2, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 308064 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 87, 522, 1243, 2250, 3543, 5122?\n\"Answer: 143*m**2 + 6*m - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1101101200012?\nAnswer: -1101101200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 - 817 + 5*u**2 + 228 + 233 + 130.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40932 and 243.\nAnswer: 368388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 152, -1088, 4 in ascending order.\nAnswer: -1088, 0, 4, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s*s*s*s*s\/(s*s**0)*s**8\/s**(-7))\/((s**(-1))**23)**22 assuming s is positive.\nAnswer: s**530","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -31, 20, -5, 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 3 (c) -2\/9 (d) -348 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 197 = 4*x - 7*x, -20 = -4*x. Suppose -7*r - 24 = -13*r. Suppose -3*s + v - 9 = -2*d, r*d - 20 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 7 = -3*i, 0*i - i = y - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 124845406 from -3.\nAnswer: -124845409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 10. Let v(u) = -u**2 - 5*u + 9. Let l be v(y). Which is the closest to 1? (a) -3 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Let w be (-1)\/(-4) + (-38)\/(-8). Suppose -4*p = -5*j + 64, -w*j = 5*p - 0*p - 100. What is the smallest common multiple of j and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 604.6 + -606. Which is the closest to 0.3? (a) s (b) 1\/4 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*n - 138*n - 51*n**2 + 2 + 47*n + 45*n to x + r*n + q*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7839151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, j: 1, a: 6, b: 5}. What is prob of sequence bb?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -28*h + 204. Let x(g) = -31*g + 170. Let p(z) = 5*i(z) - 6*x(z). Let j(q) = -38*q. What is j(p(r))?\nAnswer: -1748*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91311017\/617 + -147992. Let g = 63797\/51828 + u. Calculate the common denominator of -69\/20 and g.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 731829293, 731829291, 731829289, 731829287, 731829285?\nAnswer: 731829283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*u**2 + 17*u wrt u.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (2 - 4) + 3\/(-3). Suppose 2*s = -w + 1 - 13, -5*w - 5*s - 35 = p. What is the closest to -1\/3 in 3\/5, -3, w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -3 - (-1 + -2 - (29 - 33)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*q - 7*j + 165, -2*q - 2*j - 100 = 0. Let y be (-145)\/q + 4\/(-18). Factor 2*c**3 - c**3 + c + 2 - 2*c**y + 29*c**2 - 31*c**2.\nAnswer: -(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**6\/660 + h**5\/110 + 6*h**4\/11 - 108*h**3\/11 - h**2 + 106*h. Factor s(g).\nAnswer: -2*(g - 6)**2*(g + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150*x**3 + 2633 wrt x?\nAnswer: -450*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*u + 4 + 14, 3*c = 2*u + 14. Suppose -b - b = c. Let d(m) = 7*m**3 - m**2 + 1. Calculate d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17 - 19)*(-3)\/(-2). Find the common denominator of 82\/16 + (s - -3) and -41\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 0*y**2 - 3*y + y - 1 - y**2. Let a(j) = 4*j + 3. Let g be a(0). Determine v(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -481542\nAnswer: -5\/481542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**4 + 80*i**3 - 396*i**2 + 352*i + 832 = 0. Calculate i.\nAnswer: -1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737556 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 30\/61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/15702 and 71\/63.\nAnswer: 329742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-72)\/(-108))\/((-8)\/3))\/(15\/20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1951464*l**2. Let v(k) = -2*k**2. Calculate v(t(j)).\nAnswer: -7616423486592*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -20*b - 3. Suppose -5*l - 3*x + 24 = 0, 13 = -l + 5*x + 1. Let r(o) = 7*o + 1. Give l*m(d) + 8*r(d).\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 3c (base 13) in base 2?\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**3\/6 + 17*a**2\/2 - 210*a. What is x(18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let r(x) = x + 24. Let q(h) = 3*i(h) + r(h). Let s(m) = -12*m - 5*m + 9*m + 7*m. Determine q(s(t)).\nAnswer: -t + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -14*y - 7. Let n be t(-2). Suppose -7994 - 5278 = -n*s. What are the prime factors of s?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose f + 3*i - 9 - 10 = 0, -j*i + 10 = 0. Suppose 25 = d + f*d. Solve -w - 4 = -d*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (450\/(-80))\/9*-8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.4737 times 3.7\nAnswer: -12.85269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.16779 and -38.4.\nAnswer: 83.243136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*n**6 - n**2 + 153*n?\nAnswer: -12960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35977 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3325.4 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/((-722)\/(-323))*1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14560 = 56*x - 160*x. Calculate the remainder when x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/3 - 4*i**3\/3 - 5*i**2 - 6*i - 39. What is k(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 11, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let y(c) = 99063582*c. Calculate y(m(x)).\nAnswer: -99063582*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/36 + 22\/(-9). Put 0, 2, q in ascending order.\nAnswer: q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Put -3, -32, d in increasing order.\nAnswer: -32, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1 - -33) + 34\/16. Suppose 2*q = u*z + 16, -4*z + 12 = -2*q - 9*z. Suppose 42 = -q*d + 5*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94791157.000553 - 94791274. Let s = -116.809 - 0.191. Let g = x - s. What is g rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + -94. Let s be 403\/(-93)*1*o. Solve 4*a = 2*c + 14, -a + c = -4*a + s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0056 and 12565.6.\nAnswer: 70.36736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7 - 6\/7*k + 2\/7*k**3 + 0*k**2 = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269625516 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1122 and -1\/99.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-9))\/((-3573)\/297 + 12)*4302?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwnffnffffwffwf. Give prob of picking 3 w and 1 f.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207.4 + 207.5. Let c = 0.86 - 0.8. What is the third smallest value in z, -0.3, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 277919673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/(-4))\/(18\/(-1572)) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 30, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632412547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 7*z**2 - 6*z + 3. Let q = -24 - -34. Let n = q + -4. What is m(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (21 + -50) - -8) + (63 - 7).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 34\/45825 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t - 16 = -4*a - 62*t, a = 5*t + 26 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*w + 5 + 91 = 0, -5*i - w = -156. Let x = -7 - 2. What is the remainder when i is divided by 62\/6 + (-6)\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -125, -129, -133, -137?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let t be 99\/6*4\/6. Let r(y) = y**2 - 11*y + 5. Let l be r(t). Let g(z) = -3*z + l*z - z. Give c(g(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3102 - 1480?\nAnswer: -4582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.091 + -6206.664115.\nAnswer: -6206.755115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 24537, 0.2?\nAnswer: 24537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1)\/(-1 - -2). Let m = 5 + y. Is -4*(1 + (-17)\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l - 14*l - 982 + 28*l - 18*l + 21*l.\nAnswer: l - 982","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*v = 22, -3*l = -0*l - v - 36. Calculate the remainder when 76 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -33, -5, 21 in decreasing order.\nAnswer: 21, 1, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 112040, 112081, 112122?\n\"Answer: 41*t + 111999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + 2*k)*(2*k + 26 - 26) - 1 - 3*k**2 + 1.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010 - -10011000101?\nAnswer: 10101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(-134)\/4 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2095, 2176, 2257, 2338, 2419?\n\"Answer: 81*p + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845186*v = 845128*v - 1624 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005558 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.6 and 486821580.\nAnswer: 486821590.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -53140155 (base 6) to base 14\nAnswer: -2c5bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 0*o + 0*o**2 + 38\/25*o**5 + 28*o**4 + 1\/45*o**6 + 209 + 1568\/45*o**3. Find n such that q(n) = 0.\nAnswer: -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4158\/1078*4\/18)\/((-1)\/21)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 387 + -209. Let w = d - 2. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614, 1155, 1696, 2237?\nAnswer: 2778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -27*r**5\/40 - 3*r**4\/4 - r**3\/3 + 46*r**2 + 2. Suppose j(m) = 0. Calculate m.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + 21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -36) + -3 + (11 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -104\/141?\nAnswer: -104\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 4, -55\/2, -5, -0.5, 6 in decreasing order.\nAnswer: 16, 6, 4, -0.5, -5, -55\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18680410 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266, -1157, -2678, -4829?\nAnswer: -7610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1051 or 8599?\nAnswer: 8599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/13 and -139\/6162?\nAnswer: 6162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154324 (base 6) in base 9?\nAnswer: 174817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-661 + -9)*(11\/(-2) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9*f**2\/4 + 129*f - 87 = 0.\nAnswer: -58, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 12 + 4)*(-2*z - 1 + 1).\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -12*m - 74. Let l(y) = 8*y - 82. Let j be l(9). Let d be r(j). Calculate the highest common divisor of 644 and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {i: 2, x: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/100*(-15)\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 18. Suppose 0*i = -i - 24. Let p = i - -37. Solve 0 = 3*l - y + d*y + p, 0 = -2*l + y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 163. Let l = -46 - -142\/3. Let y = -1 - -0.9. Which is the nearest to w? (a) y (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 563\/5 - 113. Let s = 44 + -133\/3. What is the smallest value in s, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3\/(-6)*(-3 - -1). Suppose -q*x = -6*x - 7*x. Solve 3*w + 18 + x = 3*j, -5*j + 23 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 9*y + 12. Let i be d(10). Suppose -5*o + 161 = b, 3*o + 2*b + i*b - 83 = 0. Suppose -5*l = -82 - o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 53, 5 in decreasing order.\nAnswer: 53, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*13\/182*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*j - 139 = 142, 0 = -5*b - 2*j + 346. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 1373 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, k: 13}. What is prob of picking 2 k?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/10 + 39*d**3\/5 + 1014*d**2\/5 + 8788*d\/5.\nAnswer: d*(d + 26)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32922 = 28*a - 33622 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o + 4472 = 205*o - 11*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/264)\/(2\/((-80)\/(-1085))). Let u be (((-8)\/(-2))\/2)\/2. Is a smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 743 and 7895861.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 = m, -5*q + 29 = -2*m + 78. Does 3 divide ((-1)\/((-2)\/m))\/(3\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:27 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104947.\nAnswer: 104947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10, 0.1, 0.08, 6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 17}. What is prob of picking 2 l?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7245.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28567543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1100244 and 495276.\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54519.8 + -4.7?\nAnswer: 54515.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1148 - 2908. Calculate the common denominator of 4\/10*(2 + 945\/a) and -15\/242.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38762 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - -3.23. Let k = -3 + t. Let d = 3393 + -13569\/4. Which is the nearest to d? (a) k (b) -4 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*1 + sqrt(275))*-1)**2*-4.\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 314\/(2\/(-4)*-4). Suppose 5*d - 637 + b = 0. Calculate the greatest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2 - j + 12. Suppose -6*m + m + 2*s = -34, 0 = 4*m + 5*s - 47. What is the least common multiple of w(0) and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = 27*m + 27*m. Let i be (-215)\/56 + ((-38)\/m - 3). Is -4 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**4 + 0*n**2 + 0*n**2 + (-3*n**3 + 2*n**3 - 2*n**3)*(-2*n + n + 0*n) + 4*n**4 - 3*n**4 + 0*n**4 + 2*n**3 + 2*n**4 - 2*n**3.\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -9. Let c = k - -4. Let h = c - 2. What is the nearest to h in 0.3, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-22)\/(-4) - 8\/((-48)\/9) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/2524345 and -3\/32816485?\nAnswer: 32816485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.5, -198, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 1. Let c be o(0). Let v = 4 - c. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 + 211. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 10, f: 1, w: 7}. Give prob of sequence wbw.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 573347, 573326, 573299, 573266, 573227, 573182?\n\"Answer: -3*u**2 - 12*u + 573362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -767, -1651, -2535, -3419?\nAnswer: -4303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 0)*(25\/(-20) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12051\/(-81) - 10) + (-2)\/9. Let j be (-7)\/(-6)*y\/742. Which is smaller: j or -3\/28?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*s + 16355 + 2685. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t*t**(-2\/9))\/(t**(2\/5)\/t*(t*t**(-1\/4)\/t)\/t) assuming t is positive.\nAnswer: t**(-427\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.8 + -37.029. Let u = q - -0.219. Sort 3\/7, 1, -0.2, u in descending order.\nAnswer: 1, 3\/7, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000681710999 rounded to six dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 36, 12799 in decreasing order.\nAnswer: 12799, 36, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 380244961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -55, -52, -47?\n\"Answer: v**2 - 2*v - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let a(v) = 3907*v + 1519*v - 1333*v + 6523*v + 1238*v. Determine a(s(c)).\nAnswer: -23708*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -199\/4, -0.0669, -11, -5 in decreasing order.\nAnswer: -0.0669, -5, -11, -199\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12459357 divided by 5.\nAnswer: 12459357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5 + 7624*u**4\/3 - 95582*u**3\/3 - 32708*u**2\/3 = 0. Calculate u.\nAnswer: -1\/3, 0, 13, 1258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 + 156. Suppose -4*g - 130 = -3*s, -4*s = -w*s + g - 205. Calculate the remainder when 149 is divided by s.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123332 - 2204214?\nAnswer: -2030332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(12*y - 5*y + 2*y) + y - 2*y + 2*y to w*y + l and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 3. Let j be 3\/((-1)\/(-2)*-2). Let x(n) = 5 - 6*n + 8*n + 5*n. Let v = -11 + 6. Give j*x(i) + v*u(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1521)\/546)\/13)\/(((-8)\/(-7))\/(-2))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*y + 13*y - 5*y + 8*y - 13*y.\nAnswer: 43*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12801011 or -12801014?\nAnswer: -12801014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*f - 4 - 88*f + 4 as i + g*f and give g.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 63 = 19. Suppose 0 = 57*i - 55*i - 3*r - 9121, -q*r - 13679 = -3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 105. Let t be (-21)\/14 + o\/(-28). Which is the nearest to 0.2? (a) t (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5580*v + 915. Let k(z) = 8365*z - 1373. Let w(a) = 8*b(a) + 5*k(a). What is the first derivative of w(h) wrt h?\nAnswer: -2815","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 - 124*y + 26264 = 0. What is y?\nAnswer: -98, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbbfbbfbf. What is prob of picking 3 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 10. Let c be z(8). Let k = c + 8. Find l such that -2 + 2*l**2 - l**2 - k*l**2 + 3*l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*b - 2*b**2 - 1 + 16*b - 19*b - 40*b as m + s*b**2 + j*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q**2 - 7*q - 12. Let z(p) = -25*p**2 - 1. Calculate r(z(f)).\nAnswer: 7500*f**4 + 775*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 - 13 = 57*t + 144 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 891 divide 70654518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 0, 4 = 2*c + 2*f - 3*f. Let l(p) be the first derivative of 0*p - 2\/5*p**5 + 0*p**4 + 2\/3*p**3 + 1 + 0*p**c. Factor l(k).\nAnswer: -2*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 6803902?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3035 + -3026. Let x(d) be the second derivative of 0*d**5 + 0 - 1\/30*d**6 + 0*d**3 + 2*d**2 + 0*d**4 + k*d. What is the first derivative of x(s) wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + -2996?\nAnswer: -296b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 78 - 2 = -4*h, -l + 40 = h. Calculate the highest common factor of 60 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 20*f**2 - 24*f + 52. Let h be p(21). Let o(d) = -d**3 - 9*d**2 - 10*d + 6. What is the tens digit of o(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 - -4) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 542\nAnswer: -1\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1653\/2 (b) 0.4 (c) -2 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((3 - 17)\/(-7))\/(1\/2). Suppose -w*m + 8*m = 496. Calculate the remainder when m is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 4?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-528)\/(-352))\/(3\/(-46) - 0). Let c be (70\/(-4))\/((-1)\/(-2)). Let o = p - c. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/712 and 73\/5576.\nAnswer: 496264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:54 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1480\/(-40) + 75)*(-1)\/1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116297511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 5552589?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -693? (a) -3 (b) -9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2671 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139360 + 139360 - 47*q.\nAnswer: -47*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203*c**3*z**2 + 1103689745*c**3 - 200*c*z**2 + 519*c*z wrt z.\nAnswer: -406*c**3*z - 400*c*z + 519*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 421, 2, 137.5 in increasing order.\nAnswer: 2, 137.5, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81621466*h**4 + 1811*h**2 - 28123*h wrt h?\nAnswer: -1958915184*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 544294963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37771?\nAnswer: 107, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**3 + 2362*y**2 + 2792*y - 3960.\nAnswer: -2*(y - 198)*(y + 2)*(6*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - r**2)*(-16*r - 9 + 9).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(48) + (sqrt(48) - sqrt(384)\/(2*sqrt(8)))**2 + (4*((sqrt(243) - (sqrt(243) + 3*sqrt(243))) + sqrt(243) + sqrt(243) + 3))**2.\nAnswer: -860*sqrt(3) + 4042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -22. Let g be (3 - (-6340)\/x) + (-3)\/18. Suppose -5*i - 3*f = -g, -3*i - 4*f + 158 = -0*f. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10 - 4*i + 32 + 36 - 79. Let f(t) = 0*t + 4*t - 2*t. What is l(f(a))?\nAnswer: -8*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 952\/(-408)*(-1)\/1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 10:57 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*c - 237 = 45*c. Solve 0 = 5*q + c*b - 30, -3*q - b + 2*b + 4 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 396*p = -9*p - 14024 - 16237 for p.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 2, g: 7, a: 2}. What is prob of picking 1 y, 1 g, and 1 a?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from ezzeuzezuezez.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j**2 + 3*j**2 + j**2)*(2*j - 4*j + j) - 504*j**3 - 7052298*j**2 + 7052298*j**2 in the form y + c*j**2 + k*j + h*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.8 (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 107*d**4\/12 + 149*d + 141. Let p(o) be the first derivative of x(o). Let i(w) = -2*w. Determine p(i(r)).\nAnswer: 428*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37350\/650 - 57)\/(-15)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 15*b - 24. Let x be c(-13). Suppose 0*g = d - 5*g - 8, -g - 16 = -x*d. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -277, 144, -5 in ascending order.\nAnswer: -277, -5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 5*m**2 - 3*m - 1. Let w be i(2). What is the nearest to 0.3 in w, 1\/2, -0.07?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021300 + 1?\nAnswer: 2021301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 19, u: 1}. Give prob of picking 3 o and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041652 rounded to 7 dps?\nAnswer: 0.0000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - 1*sqrt(1944))*-1)\/(5*sqrt(48) + sqrt(768) + -1*sqrt(768)).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + ((sqrt(110)*1 + sqrt(110))*1 - sqrt(110)) + sqrt(110))\/sqrt(5))\/((sqrt(20)\/(sqrt(15)\/sqrt(3)))\/sqrt(2)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1620*v**3 - 2525*v**3 + 5992*v**3 + 4 as a*v**2 + y*v + h*v**3 + f and give h.\nAnswer: 1847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*y - 328900 = -2752*y for y.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 412 (c) -0.2 (d) -0.11 (e) 1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-3 + 0 + 0). Let k(w) = -3*w - u - 4 + 7. Let a(r) = -r. Determine a(k(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = -5*t. Let i(f) = 23*f - 1. Let m be i(t). Calculate the greatest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 4947.\nAnswer: 989.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 546\/433?\nAnswer: 546\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 202.7, -6?\nAnswer: 202.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 769 + -764. Solve 0 = x*h - 0*h - 5*q - 30, q - 9 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v + 100 = -70 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**2 + 17*m**4 + 19*m**2 + 2*m**2 wrt m.\nAnswer: 408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*l**2 + 27*l**2 - 60 - 51*l**3 + 299*l**3 with respect to l.\nAnswer: 744*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 398328 divided by 649.\nAnswer: 398328\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-15 - -31)) + 2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 10*v**2 + 26*v + 27. Let p be x(-12). Solve 2*f - p*b - 22 = 0, 3*f - b + 5 = -6*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3009 - 5116. Let x = 2107.0002707 + d. Round x to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41190737*z + 20595362*z + 20595363*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3 + 40\/14). Let r(w) = -w**3 + 9*w**2 - 7*w + 15. What is the units digit of r(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*y + 3*y + 18 + 41 = -2*y, 76 = -4*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:07 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1027*p = 1062*p - 1975*p + 13794 for p.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - (-3 - (1 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 2*h - 9*q - 921, -3*h = -2*q - 1380. Calculate the least common multiple of h and 294.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43796 is divided by 5094.\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -26\/389 (c) 5 (d) -1 (e) 5\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4074, 8104, 12132, 16158?\nAnswer: 20182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2485026 - -2485087.00145. Let g = -61 + h. Round g to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4669635624 to the power of 1\/2, to the nearest integer?\nAnswer: 68335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 198*u**2 + 9*u**2 + 3*u + 50*u**3.\nAnswer: 50*u**3 + 207*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 16 = 4*x. Suppose x*i = 2*i + 4*w, 2*w + 8 = 5*i. Suppose i*m - 45 = -m. Solve -m = k + 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106649 + -106580. Suppose -2*z - 9 = -3*z. What is the remainder when n is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, -5, -0.27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8786856.\nAnswer: 2, 3, 13, 28163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 4 + -2 + 7. Let x = c + 2. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*d**2 + 0*d - 2*d - 4*d - 75*d**2 - 8*d.\nAnswer: -127*d**2 - 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-19)\/38)*(-2 + 13\/6). Suppose -3\/2 - 1\/4*n + h*n**2 = 0. What is n?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/4 - 87*n**4\/2 - 989*n**3\/4 + 38727*n**2\/2 + 162085*n - 398958 = 0.\nAnswer: -14, 2, 23, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/7 - 4534*n\/7 + 5139289\/7 = 0.\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 1\/6, 3\/2, -799, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.7 - -18.7. Let u = -208 + 1870\/9. Which is the nearest to 2\/3? (a) m (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030181 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 43, -3, 6, -138 in decreasing order.\nAnswer: 43, 6, -2, -3, -4, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1223 + 1224. What is the closest to 0.1 in 2, 6, 3\/8, d?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/2, 1\/12, -96\/7, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -19. What is v in -14 - 2*v**2 + 0*v - 3*v - 4 - p*v = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 2592?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1445906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 1. Let g = 7.5 + k. Let j = 0.28526 + -0.38526. What is the third biggest value in j, g, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258080.\nAnswer: 2, 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16605 (base 13) to base 11.\nAnswer: -2a145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c. Suppose -29 = 3*b - 4*z - 9, 5*b + 5*z + 45 = 0. Let j be (2\/8)\/1 + (-134)\/b. Let f(x) = -j + 17 - x. Give f(t(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 3 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -33. Calculate the remainder when 47 is divided by 0\/(2 - -1) - n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.0081?\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62532 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o + 4. Let n be c(-2). Let m(h) = -h**2 - 11*h - 5. Let w be m(n). Suppose -w*i - 463 = -f - i, f - 5*i - 468 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26037 + -572919\/22. Let s = 18888 + -1737679\/92. What is the common denominator of d and s?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (18 + -11) - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from qqaqhhqqqqqqjjavla.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3 - 13. Let u(y) = 8*y. Give u(m(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*t + 17. Let f = t + -6. Suppose -5*p + 512 = f*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9687\/4 + 2410. Calculate the common denominator of c and (8\/(-48) - 17) + 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 + -167. Suppose 3*v - d = -5*t - v, 0 = 4*t - 4*v - 116. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59357131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 12:34 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105016 and 334909151?\nAnswer: 13127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1371486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggygygygggyygggggggg. Give prob of sequence gy.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67722408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000105302 to 7 dps.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31925044 rounded to the nearest one hundred thousand?\nAnswer: 31900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92.23033*-0.05.\nAnswer: 4.6115165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 1 + 1)*(13 + 1 + 8)*(-7*r**2 - 5*r + 5*r) as g*r**3 + t*r**2 + j*r + b and give g.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*a + 221*a - 119*a - 2580 = 0 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**2 - 3*s + 2. Let p(u) = u + 1. Let t(j) = -i(j) + 2*p(j). Let c(m) = -m**2. Calculate c(t(h)).\nAnswer: -121*h**4 + 110*h**3 - 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4447729.\nAnswer: 11, 13, 19, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 + 0.48. Which is the biggest value? (a) 2 (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 5. Let s be q(-2). Let w be (-14 - -17)\/(s\/(-1)). Solve w*y = 3*h + 6 - 15, 5*h - 3*y - 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(2\/13)*k\/k**3*k*(k\/(k**(-2\/11)*k))\/k**2*(k**1)**(-20)*k*k\/((k*k**(-5))\/k)*k*k**(-3)*k assuming k is positive.\nAnswer: k**(-2240\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 1. Let l(a) = -a. Let j(p) = -2*l(p) + v(p). Suppose -5*s + 85 = i + 4*i, -5*i - 3*s = -79. Suppose -1 = g, 3*x + 3 - i = -g. Calculate j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, -70, -1, 2\/11.\nAnswer: -70, -1, 2\/11, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r - 20*r + 13*r + 11*r. What is f(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l - 11. What is the units digit of z(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d - 3. Let w(n) = 5*n + 3. Let u(s) = -6*i(s) - 5*w(s). Let h be u(11). Suppose -2*v = 2*v + 4*o - 64, 0 = 3*v + o - h. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*n - 18, -2*n = -2*c - c + 18. Solve m = c*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 28. Suppose 0*j - 3*j = f - 15, 3*j = -2*f + 18. What is the lowest common multiple of ((-28)\/8)\/((-1)\/j) and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:11 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2058 and -29\/4272408?\nAnswer: 4272408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -132*m + 136*m - 968. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*k - r, 3*r + 14 = 4*k - 0*r. Suppose -k*z = -z + 4. Which is greater: z or 1\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 + 0 - 1)*(4*t**2 + 2*t - 2*t).\nAnswer: -4*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 2*i - 849. Calculate the remainder when i is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 501, 500, 499?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - (14 + 24\/6 - -4). Let h = 3.6 + -3.1. Do l and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94697\/12 + -7885. Let p = 8269\/10 - 821. Find the common denominator of j and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 457005426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 20*k + 103*k**2 - 43*k - 2*k - k - 2.\nAnswer: 103*k**2 - 64*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 21493*m**3 - 21494*m**3 - m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*h**2*j*k**2 + 5*h**2*j - 44*h**2*k - 2*h**2 - 1563 wrt k.\nAnswer: 200*h**2*j*k - 44*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**4\/3 - 2564252*o**3\/3 + 182675026104*o**2 - 39062483342894800*o\/3 + 3472221918339527072\/3 = 0.\nAnswer: 89, 213658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 25*w. Let u = 125 - 138. Let k(v) = -2*v + 13. Let q(t) = t - 6. Let m(g) = u*q(g) - 6*k(g). Give d(m(l)).\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 256 - 411*b + 926*b - 240*b with respect to b.\nAnswer: 275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 771, 1532, 2291, 3048, 3803?\nAnswer: 4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107\/44 + 24\/11. Suppose -2*b + 3*b = 0. Suppose b*j = -5*j. Do y and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3314428 rounded to 2 decimal places?\nAnswer: -7.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 - 584740*p + 17096043380 = 0. Calculate p.\nAnswer: 58474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 30. Let t = 7 - g. Put 0, t, 4 in descending order.\nAnswer: 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110021 - -2022?\nAnswer: -11100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12301811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8836*h**3 + 87608*h**2 - 7504*h + 160.\nAnswer: 4*(h + 10)*(47*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/20 - l**4\/4 + l**3\/2 + 14*l**2. Let m(w) = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 573, -0.1.\nAnswer: -2, -0.1, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 31, 49, 65, 79?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + 2120?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-131)\/(-1)*2\/2 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a second in milliseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81208, -162216, -243224, -324232, -405240, -486248?\n\"Answer: -81008*q - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/4 (c) 8\/13 (d) -0.2 (e) -1\/2 (f) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 17 = 3*p, q = 2*p + 2*q - 3. Is (p + 2)\/(14\/742) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*i - 149*i - 20*k + 3 + 53, 4*i = k - 28 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6793195745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 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: Convert 2ab2d (base 15) to base 13.\nAnswer: 4a794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4608*v**3 + 2*v*z - 3*z + 39627 with respect to v.\nAnswer: 13824*v**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 341\/11 + 5 + 12 + -5?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 556667, 556664, 556661, 556658?\n\"Answer: -3*u + 556670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1510, -12064, -40680, -96388, -188218, -325200?\n\"Answer: -1505*m**3 - m**2 - 16*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 120960, 3 in descending order.\nAnswer: 120960, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*m = -38259984, 2*m + 47126733 + 698275 = -5*n. Round n to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 17*f**4\/4 - 2*f + 1. Differentiate m(a) wrt a.\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3864594018 to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 155 = 2*q, -34*q - 165 = -5*v - 30*q. Solve 7*a = -15 + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 + 1. Let u be q(1). Suppose -u*s + 20 = -4*s. Solve 0 = -s*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 9*u**2 + 4*u + 13. Let t be x(9). Let a = t + -20. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -1 + 11. Suppose 26 - 10 = 4*w - 4*s, v = -5*s. Suppose 5*d - 45 = w*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 = -p - 4*d, 11 = -3*p - 4*d. Solve -p*x + 10 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k - 1 + 2*k + 2*k**3 + 11*k + 16*k**4 + 4*k**2 + k**4 - 2*k**2 to the form x*k**3 + b + g*k + s*k**2 + c*k**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2023 - 2035 = -2*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**6\/105 - 157*n**5\/35 + 24961*n**4\/42 - 16328*n**3\/7 + 24336*n**2\/7 + 44*n. Factor v(m).\nAnswer: 2*(m - 156)**2*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*y + 397 - 433 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5671*f**3 - 6199*f**2 wrt f?\nAnswer: 34026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/120123 and -115\/1296.\nAnswer: 1921968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 295*b - 1682. Determine k(6).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221757 is divided by 440?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 1:39 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 7*b**2 - 14*b + 226. What is r(-10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12c + 3e2?\nAnswer: 2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19742855?\nAnswer: 5, 11, 23, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 3*a + 2*a + a**2 + 0*a. Let v = 4 - 4. What is o(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -14*q**2 + 1. Let c(m) = -13*m**2 - m + 2. What is -2*c(x) + 3*v(x)?\nAnswer: -16*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03863723 rounded to 3 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*w - 32*w - 48*w in the form g + j*w and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1158 and 3.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 + 5*p + 20. Let n(i) = 2*i**2 - 3*i - 1. Let k(t) = -j(t) - n(t). Let b be k(-4). Solve -m - b*c = 20, -4*c - 45 = -5*m - 0*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 22*i + 101. Let b be k(6). Find the second derivative of -135*v**2 - b - 14*v + 42*v - 9*v - 11*v - 6 wrt v.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or -4181?\nAnswer: -4181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)*(-1)\/1. Is 396 + (-2 + 3)*x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*s - 43652540 = 47*s. Round s to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/926 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:29 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59904 and 483392?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + g = -0*v - 5, -10 = 5*v + 2*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in 0, -106, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900) + 0)**2) + -3.\nAnswer: -1903 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4581336 divided by -1527112\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-3) - (-3 + (-1812)\/18)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 14. Let j be l(-10). Put 55, j, 5 in descending order.\nAnswer: 55, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204110123 (base 5) to base 16\nAnswer: ceeb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818 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: Does 551 divide 5570196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 3*p + 2. Let j be m(3). Suppose 98 = 3*g - j*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**2 + 11*a + 8. Let r(y) = y + 1. Let i(g) = -l(g) + 3*r(g). Let s be i(-5). What is s rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose -3*a + 3 = -y. Find i, given that 4*i**2 - 4 + 2 - 2*i**a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 2*q - 7, 12*q + 5 = -5*h + 7*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/98 and 6\/11.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 + -1 + -57. Let u = -32 - n. Suppose -19 - u = -4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 240.5 - 240.5. Let d = -5 + 12. Which is the second smallest value? (a) 1 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1244334*x - 15 + 4*x**2 - 6 + 1244313*x.\nAnswer: 4*x**2 - 21*x - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 77 - 44*c**3 + 17*c + 9*c + 12*c + c**2 - 9*c. Is 24 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133141778, 133141785, 133141792, 133141799, 133141806, 133141813?\nAnswer: 133141820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168215 is divided by 895.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68756670 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**4\/8 + 2058*o**2. Let b(i) = -44*i. Give b(j(m)).\nAnswer: 132*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-17)\/(255\/(-70)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/24 and 73\/505281?\nAnswer: 4042248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4 + 165*c**3 + 376*c**2?\nAnswer: -48*c + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19829111 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 + 37. Let x = 47 + q. Which is the nearest to 0.1? (a) -3 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(34)\/sqrt(2) + (sqrt(2057) + (sqrt(2057) - sqrt(2057)*1))**2).\nAnswer: 4*sqrt(17) + 8220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 8*r**2 - 7*r + 3. Let w be o(7). Let i be (w - 1)*85\/10. Let t be (-2)\/6 - i\/3. What is t rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a factor of 12375129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -3 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppppopppoo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let u be 10\/(-3)*96\/(-20). Suppose -2*z + 5*j = 11, -4*j + u = 4*z - 4. Is n at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23464 or -23446?\nAnswer: -23446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 15 - 14 - -1 - (-1 - -20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m**3 + 2*m - 1\/6*m**2 - 1 + 1\/36*m**4. Let j(p) be the first derivative of x(p). Factor j(a).\nAnswer: (a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 3*z**2 - z - 3. Suppose 5*l + 0*x = x + 29, 4*l - 3*x - 21 = 0. Suppose 9*k = l*k - 9. Determine h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 + 172470594*t**2\/5.\nAnswer: 2*t**2*(t + 86235297)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/6 of a week?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2184 divided by 84.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 107 - 2*m + 259*m.\nAnswer: 257*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4761851 - -7359791. Let x = v - 4587940. What is x rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 992689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/w*w*(w*w\/(w\/(((w\/(w*w**(-3\/5))*w*w)\/w)\/w)))\/w*w\/(w*w**(-6)*w)*w\/(w*w**1) assuming w is positive.\nAnswer: w**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-28)*((-1008)\/(-9))\/2. Solve 4*o = -4*r - 8, 3*r = -3*o - 2*o - x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 1. Let a be u(-6). Let y = 28 - a. Which is smaller: 10 or y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -18*o - 33 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2. Let q(g) be the second derivative of -4*g**4\/3 - g + 6. Calculate q(r(w)).\nAnswer: -256*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -200509 divided by -3?\nAnswer: 200509\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27647 (base 8) in base 16?\nAnswer: 2fa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 96 = -4*l + 8*l, -3*k - 96 = -4*l. Suppose -10*r - 2*r + l = 0. Solve 0 = r*h + 2 - 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 4*o**2 - 7*o + 9. Let k(x) = -x**2 - x - 1. Let s(i) = a(i) + 4*k(i). Is s(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*s - 3*j = -106*s - 147, -j + 229 = 5*s. What is the remainder when 1121 is divided by s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3157, 6309, 9457, 12601, 15741, 18877, 22009?\nAnswer: 25137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 7722626.3\nAnswer: -8494888.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n - 25. Let g = n - -7. Suppose -5 = -4*l + 3*l + 2*t, 0 = -3*l - g*t + 15. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2612 = 175*u - 888 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a - 3*a)*(-3*a**3 - 6*a**3 - a**3) + (2*a**3 - a**3 - 2*a**3)*(12*a - 6*a + 14*a).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*d = -138*d - 260603. What are the prime factors of d?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5607840 by -70.\nAnswer: -80112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -49300727 * -4\nAnswer: 197202908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = 0, -x + 1037 = 5*o + 334. Suppose -31*r - o = -36*r. Is 29 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:06 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-1 + 0 - 2). Let f be (6 - (-8)\/(-2)) + 2. Let j = v + f. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2. Let f(v) = 114*v**2 - 12*v + 64. Let y(i) = 683*i**2 - 70*i + 373. Let d(n) = 35*f(n) - 6*y(n). Determine g(d(w)).\nAnswer: -23328*w**4 + 864*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 22, 17, 0, -6.\nAnswer: -6, -2, 0, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1480 and -67\/65562964?\nAnswer: 655629640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2602367901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -79*c. Let x(j) = -139*j**2. Calculate m(x(i)).\nAnswer: 10981*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let a(v) be the first derivative of -43*v**2\/2 + 10. Calculate a(q(m)).\nAnswer: -43*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 2*p + 0*p)*(1081*p**3 - 2 - 1077*p**3 - 14) + p**4 + 10*p**4 + 8*p**4 to the form c*p + q*p**3 + k*p**2 + g*p**4 + x and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -1072?\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 9*a**2 - 204*a + 30. What is c(-19)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63720185 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -6. Let w(s) = -3*s - 3. Calculate the smallest common multiple of 24 and w(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**5 + 3*l**5 - 1015*l**2 + 1146*l**2 - 95*l**3 wrt l.\nAnswer: 120*l**2 - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/20 - a**4\/12 + 5*a**3\/6 - 5*a**2\/2 + 5*a. Let x be u(-5). Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 18*t + 75 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4791*x + 771350. Determine u(-161).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 5 - (-4 + 5 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 25*(-2)\/7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12070 divided by -2\nAnswer: -6035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -917*f**3 + 288*f**3 - 301*f**3.\nAnswer: -930*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50429240.\nAnswer: 2, 5, 1260731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12092, 11834, 11574, 11312, 11048, 10782, 10514?\n\"Answer: -v**2 - 255*v + 12348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y**2 + 4*y**2 + y**2)*(-2 + 0 + 6)*(1 + 1 - 1) - 959 + 959 + 215*y**2 - y**2 + y**2 + 6*y**2 as d*y + k*y**2 + b and give k.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-3\/25)\/(x**0*x**(-5)))\/((x**(2\/21)*((x**(-4\/5)\/x)\/x)\/x)\/(x**(-3)\/(x*x\/(x\/(x*x**(-3)))))) assuming x is positive.\nAnswer: x**(3583\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*a - 3961 = 2499, 2593 = 2*f - a. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110185133 to the nearest integer?\nAnswer: 33319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 201?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61127.\nAnswer: 11, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18294, -18299, -18302, -18303, -18302?\n\"Answer: j**2 - 8*j - 18287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11, 4, -523, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9120939, -33, -1 in descending order.\nAnswer: 9120939, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65249?\nAnswer: 71, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2488 and -6\/311.\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*10.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 6*r - 9. Let p be b(7). Let g = 14 + p. Solve -g = 5*m - j, 0 = -3*j + 6 - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 2}. What is prob of picking 1 d and 1 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417 divided by 13?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*f + 4*f + 1456, -2*j + 4*f = -984. List the prime factors of j.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1995 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028412426 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -47*z + 1 + 2*z**3 + 46*z + z**2 + 3*z**3. Give i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -9*m**5\/4 + 20*m**4\/3 + 10*m**3\/3 - 25*m. Factor q(j).\nAnswer: -5*j*(j - 2)*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d9 (base 15) in base 3?\nAnswer: 10001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 - 65*g**2 - 777*g?\nAnswer: 6*g - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + 812\/(-90). Let y = 346 + -344. Suppose -5*t = -3*p - 50, t = p + y*t + 6. Is p smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3451 = 255*a - 374*a for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7854944 or -0.237?\nAnswer: -7854944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2*((-21)\/(-42))\/(2\/(-34)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.961412 kilometers in millimeters?\nAnswer: 5961412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18436181.\nAnswer: 3457, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10578*k - 20 = -b - 10576*k, 9*b - 220 = 10*k for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaiidaa. Give prob of picking 1 i and 1 a.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51.79 - -51. Let s = u - -0.73. Which is the nearest to 1? (a) 5 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342372782 to the power of 1\/2, to the nearest integer?\nAnswer: 36638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 6*y - 6. Let q(l) = 6*l**3 + l**2 - 3*l + 2. Let j be q(1). Let t(m) = -m + 1. Let f(x) = j*t(x) + r(x). Let v(k) = 42*k**2. Give f(v(c)).\nAnswer: -1764*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 6, 0, 5\/954, -1\/8, 5, 61, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1685 = 4*x + l + 1652, -1664 = 2*x + 2*l. Let c = 526 - x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1617816?\nAnswer: 1617819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 19. Is s(-14) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2247*o**3 - 2128*o**3 + 4379*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -137, -756, -1781, -3206, -5025, -7232, -9821?\n\"Answer: h**3 - 209*h**2 + h + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -1469, -4962, -11765, -22982, -39717, -63074, -94157?\nAnswer: -134070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 2*q**2)*(0*q**2 + 0*q**2 + q**3) + 4*q**5 - 2*q**5 - q**5 + (3*q - 2*q - 3*q)*(-2*q**4 - 2*q**4 + 2*q**4).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21336, 85196, 191568, 340452, 531848, 765756, 1042176?\n\"Answer: 21256*s**2 + 92*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40266745 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 12*s - 17*s - 6, 0 = 5*s + 5*q - 10. Solve z = 3*j + 5, s*j + j = 2*z + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 11*z + 12. Suppose f + 5 = -3. Calculate x(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 - 3687?\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - 36?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 2:24 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 3*j**4\/4 - 2*j**3 + 5. What is the third derivative of t(p) wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151920150 and 32550?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4281 divided by 3\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/7, -14\/27, 1\/70?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -4, -19, -38?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -360622 + 2529196\/7. Let m = 693 - o. Suppose 15 = 21*w - 6. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-238)\/(-204))\/(1\/(-3))*(-280)\/(-98).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 7 + 9 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 767277*l - 767278*l + 15, -4*l = -6*v - 64 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*t)*(3*t**4 - 4*t**4 + 8*t**4).\nAnswer: 21*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j**3\/3 + 22*j**2 - 32*j + 40\/3 = 0.\nAnswer: 5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**3\/3 + 3*w**2\/2 - 3*w. Let c be y(5). Suppose s = -s + 78. Calculate the highest common factor of s and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-79)\/948)\/((-2)\/(8\/(-38)))?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5523?\nAnswer: 1\/1841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a - 2*b + 16, 4*b + 16 = 4*a. Suppose a + 44 = 3*t - z, -2*t = -2*z - 40. Suppose 3*w + 4*i + t = 45, 2*w + 4*i - 14 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1540 and 6501880?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 1, l: 6, j: 2, t: 1, x: 4}. What is prob of sequence xltz?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.77 + 0.67. What is the nearest to -9 in q, 5\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 146*n + 4343. What is x(-42)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, g: 4, a: 6, s: 1}. What is prob of picking 2 a, 1 s, and 1 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (-3 + 1 + -12 - (-10 + 0)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-10)*(-1)\/2. Factor 8\/9*g**4 - 4\/9*g**2 - 14\/9*g**3 + m + 0*g.\nAnswer: 2*g**2*(g - 2)*(4*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*g - 0*j - 48, 5*j + 32 = 2*g. Suppose -22*x = 99 - g. Let w = 0 + -1. What is the smallest value in -5, x, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, g: 2, j: 3, r: 4}. What is prob of sequence zz?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91707 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - sqrt(1539)*-2) + -2 - (0 + sqrt(1539) + -2).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 15. Suppose 2*f - j - 8 - 2 = 0, -3*f + 15 = k*j. Find the third derivative of 4*h**f + 0 - 1 + 1 + 3*h**2 wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqq when three letters picked without replacement from qiqiiiiiiiiiqiqqiiq.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -113, -177, -297, -491, -777, -1173?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12489 - 12345. What is the highest common divisor of 2664 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 318 = -4*b + 10, -5*k - 3*b + 552 = 0. Let f(v) = -v**2 - 5*v + 468. Let s be f(19). What is the greatest common divisor of k and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(187)\/(sqrt(11) + sqrt(11) + sqrt(11)*4) + (sqrt(17) - sqrt(153)*-2)) + ((-2*sqrt(1088)*1 - 4*(1 + sqrt(1088) - sqrt(1088)))*-4)**2.\nAnswer: 6187*sqrt(17)\/3 + 69888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 2*s. Let n be 86\/30 - 64\/(-480). Solve n*t = -0*t + s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96070396 - -9293.\nAnswer: -96061103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 5 (c) -2\/7 (d) -0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from aaaavaavaajaajj.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46074712 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16279 and 730?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - -0.21. Let l(q) = -q**3 + 9*q**2 - 8*q. Suppose 0*s = -s + 8. Let d be l(s). What is the second biggest value in d, a, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 (base 10) in base 12?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 6)*(7*w + 2*w + 5*w).\nAnswer: -182*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2362\/81267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 3 + 3)*(4 - 3 + 1) - 4*t - t**2 + 4*t + (-2 - 1 - 5)*(24 - 24 + 12*t**2).\nAnswer: -101*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p + 15*p - 35*p to the form r + w*p and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1834216 (base 9) in base 12?\nAnswer: 416129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmzm. Give prob of picking 3 m and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**6\/120 - v**5\/15 - v**4\/8 + 2*v**3\/3 + 140*v**2. What is d(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 78 + 4)*(2 - 2 + d) to the form w + g*d and give g.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 3*v + 4. Let y be (1*3 - (1 - -2)) + -5. Calculate w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*c + 5*t - 64 = 161*c, -5*c = -4*t + 36 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 2*m + 7*m + 0*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228*p + 71*p + 93*p)*(-4 - 2 + 5)*(-9 - 1 - 3)*(-p - 4*p + 2*p).\nAnswer: 2496*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 125. What is the closest to 0 in n, 1\/22, 4\/7?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(5)*-2 - (sqrt(5) + sqrt(405)*1 + sqrt(405)))**2.\nAnswer: 4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-14 + (33 - 14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 44, 6, -62, -160, -288?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3 - (-8 + (-11 - -28 - 12))) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2. Let v = 17 - 16. Let o(s) = -802*s + 810*s + 1 - v. Give o(m(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/10 and -2*38\/(-72) - -3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2795 + 2447 = 2*j. Let z = j + -28861\/11. Let r = -1 + -42. Calculate the common denominator of r and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 12\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 176*o - 169*o - 5978. Is o a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66.0477 - -71.055. Let h = 0.0073 - i. Which is the third biggest value? (a) h (b) 4 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**8*j**(2\/23)\/j)**40 assuming j is positive.\nAnswer: j**(7440\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 96, 125, 174, 243, 332, 441, 570?\n\"Answer: 10*j**2 - j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 17*o**4\/12 - o**3 - 29*o**2\/2 - 80*o. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + sqrt(637) + sqrt(637)*-2).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and -50575.315336.\nAnswer: -50575.325336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 968*r**2 + 6*r - 6. Is y(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**0)\/(n**(-4)*n) assuming n is positive.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0*x**3 - 23*x + 0*x**5 + 0 + 0*x**4 - 1\/30*x**6 - 3*x**2. Find the first derivative of y(p) wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367399?\nAnswer: 47, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 + k**5 - 3*k**3 + (-k**4 + k**4 + k**4)*(k - 4*k + k) + 3*k**5 - 4*k + 2 + 4*k.\nAnswer: 2*k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116854568 and 31760.\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 9 = -2*c, 2*c - 3 - 16 = 3*n. Let t be 2*(3\/c + -1). Differentiate 1 + 2*h**2 + t + 0 with respect to h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (-175 - -49 - -32)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 2*y**3 - 2*y**3 + (-1 + 1 + 3*y**2)*(y**2 + y**2 + y**2) + 1403*y**4 - 301867*y**3 + 301867*y**3.\nAnswer: 1414*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10873*0.03784\nAnswer: 411.43432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3066594 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + -1*sqrt(190)*4 + -1*(sqrt(190) + sqrt(190)*4))\/(sqrt(490)*-1*4 - (sqrt(490) - 2*sqrt(490)*3))*4.\nAnswer: -32*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13484 is divided by 103.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 528611.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 957452543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3810, 7553, 11286, 15003, 18698, 22365?\n\"Answer: -h**3 + h**2 + 3747*h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + v - 1. Suppose 9 = -8*c - 7. Let p(w) = -4*w**2 + 5*w - 2. Suppose -5*x = 1 - 6. Give c*b(i) + x*p(i).\nAnswer: -2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17853)\/1623)\/((-99)\/30).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4077b21 (base 12) to base 6.\nAnswer: 1111223241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*o - 526*o = 2. Let a(d) = -10*d**2 - 1. What is a(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7 = -2*j + 21, x + 41 = 3*j. Let a be (j + 1)*(0 - -1). Let v = 131 + -129. Calculate the highest common divisor of a and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 397504, 397334, 397154, 396958, 396740?\n\"Answer: -b**3 + b**2 - 166*b + 397670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249*u + 198 with respect to u.\nAnswer: -249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 35.08. Let o = z - 0.92094. Round o to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 2. Let f(c) = 6*c - 17*c - c - 9. Let j(y) = 2*f(y) - 9*n(y). Let u(s) = -29*s**2. What is u(j(x))?\nAnswer: -261*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + -1 + 3 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 5*w + 6. Let s be k(4). Let d be 100\/16 - s\/8. Let c(t) = 9*t + 3*t**3 - 4 + 2*t**3 - d*t**3 - 8*t**2. Give c(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let g(z) = -2*z. Let q = 97 - 96. Determine q*g(f) - 2*x(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(2 - r - r + 0*r)*(-3 - 1 + 3).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:13 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a7694 + 38?\nAnswer: 9a76cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*k + 1 - 1.\nAnswer: 134*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 - 6) - (1 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 363 + 15 = 13*n, -2*n - 5*h - 17 = 0 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -79822.\nAnswer: -1037686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 162573 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-50)*(-6 - -1). Let m = 0 - -0.07. Let l = 0.23 + m. Which is the closest to x? (a) l (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5. Let u(a) = -a - 1. Determine 3*u(g) - x(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 68*v - 199. What is l(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 8 - (-12 + 7254)\/(-6). What is the greatest common factor of h and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 6000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/10 and 89\/3728.\nAnswer: 18640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + 4*i + 1. Let o = 2 - -1. What is the units digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from 485609867.\nAnswer: 485609855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 26*m - 415. Let h(j) = 14*j - 208. Calculate -6*b(d) + 11*h(d).\nAnswer: -2*d + 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -5*d**2\/2 - 8*d + 7. Let h = -1732 + 1726. What is l(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14400)\/2700*-1*3\/4*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -253.2 + 253. Let v be (-51)\/(-60) + (-1)\/4. Let y be (-3 - -9)\/(-8 + (0 - 2)). Put y, v, l, -3 in decreasing order.\nAnswer: v, l, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/9 + 644*x**3\/3 + 51842*x**2 = 0?\nAnswer: -483, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 11. Let j = p - 2. What is the second derivative of 5*s + j*s - 4*s - 2*s**5 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3428 divided by 1714\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1. Let j(o) be the first derivative of o**2\/2 + 4*o + 8. Determine -12*a(y) + 3*j(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 943*u**2 + 402*u**2 + 32*u**2 to the form i*u + m*u**2 + a and give m.\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(3*f**2 - f + f) - 4*f**2 - 1 + 4*f**2 + 4*f**2.\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 70 = 0. Let a be p + (0 - 4)\/2. Suppose 5*i - a = 72. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484 a factor of 2594032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttffttfffoffttfftff. Give prob of picking 4 f.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 - 2*o**2 + 2*o**2 + 10*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2016) + sqrt(2016))\/(sqrt(48)\/(-2*sqrt(6))) - ((2*sqrt(112)*6)**2 + sqrt(49)\/(3*sqrt(28) + sqrt(7))).\nAnswer: -16128 - 169*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 144*u**2 + 341*u - 11571. Calculate w(-141).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5088480 divided by 4.\nAnswer: -1272120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*l - 3*y, 2143 = 3*l + y + 2125. Let p = -13 + 18. Suppose 3 = -z + p*b, -4*z - 3 + 10 = -b. Solve o + z = -l*q - 1, -5*q + 10 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + (sqrt(75) + sqrt(75) + -1)**2*-5 - (sqrt(75) + (sqrt(75) - (sqrt(75) - ((1 + sqrt(75))*1)**2)) + -3 + 0 + sqrt(75))) + -2).\nAnswer: -6328 + 320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:25 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9 + -2?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6547431 (base 9) to base 7\nAnswer: 41611351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55592 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 596593, 596514, 596435, 596356?\nAnswer: 596277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(132) - 2*sqrt(132)))\/(-2*sqrt(972) - sqrt(972)).\nAnswer: -5*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = h - 0*h. Suppose -h = 2*i - 72. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(98) + 3)**2 - (6*sqrt(98)*3)**2.\nAnswer: -31590 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(348\/84)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-1 + sqrt(832))*2)**2*2 + 3).\nAnswer: -40002 + 768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 242 + 62 = 0. Suppose -2*c + 2*u + 4 = -0*c, u = 2*c - 6. Let f be (-33)\/i - 2\/40*c. Solve -n = -5*t - 0 - 4, 2*t + f = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k - 3*k**3 - 15*k + 22*k.\nAnswer: -3*k**3 + 61*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 3:39 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 0 + 3 + -3. Factor h**3 - 3 - 6*h**i - 3*h + 15*h**2 - 4*h**3.\nAnswer: -3*(h - 1)**2*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291682 = 14676*d - 11573*d for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-117) + (-66)\/(-270)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1286 = 17*b - 16*b, 0 = b + 2*v - 1268. What are the prime factors of b?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d + 52. Let c be a(4). Let l(b) = 2*b - 6. Let s be l(5). Suppose s*o - 495 + 83 = c. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/24 - 11*t**3\/3 + t**2. Let y be j(-6). Calculate the least common multiple of 16 and y\/3*6\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 + 5*i**2 - 7*i + 6. Suppose -24 = 4*g + 5*f, 5*g - 4*f + 40 = 10. Let p(a) = -11*a**3 + 14*a**2 - 20*a + 17. What is g*p(v) + 17*j(v)?\nAnswer: -2*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 536 and 240.\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639 divided by -9.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -145*z + 41. Let i(g) = 142*g - 43. Let k(t) = -5*b(t) - 6*i(t). Let j be k(4). Round j to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -265*m + 270*m - 300. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.936 - 18. What is v rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3 - 42*m**3 - 1 - 40*m**3 - 1. Let n(g) = 4*g**2 + 334*g - 1010. Calculate the remainder when d(-1) is divided by n(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -82. Let k = 29 + -13. Let h be -7*(k\/(-28) - 0). Solve -m*b = -3*v + 6, -h*v + 0*b + 3 = -b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -108914, 2, -20 in decreasing order.\nAnswer: 3, 2, 1, -20, -108914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235460, 235459, 235458, 235457?\nAnswer: 235456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01919753 and 1106533.\nAnswer: 1106533.01919753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - 141 - 8*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 489048 and 389151?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963.32218 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 385 + 1513. Calculate the greatest common divisor of 438 and t.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45622*t - 37 = 7*c - 45621*t, 25*c - 4*t = -11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1200\/152 + 5*2\/95?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 + 421*j - 2961. What is m(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -0.3 (c) 3 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00131263911 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/((-144)\/180)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = -12, 4*m = -t + 62949. Does 43 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48.6? (a) -0.3 (b) -0.4 (c) -162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -35*j - 4*j**3 - j**4 + 34*j + 6*j**3 + 2*j**2. Let n(i) = -i**2 - i. Let c(m) = -g(m) + n(m). Suppose c(o) = 0. What is o?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21643.9999992859 - -21644. What is v rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 5:02 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 11:39 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3062 + -16?\nAnswer: -3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a = -4*i + 40, -2*i + 15 = a. Let h(o) = -o**3 - o**2 + 6. Let q be h(i). Is (-1)\/1 - 2 - q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1900) + (sqrt(1900) - (-3 + sqrt(1900) + -5 + sqrt(1900))**2) - (sqrt(57)\/((sqrt(36) + sqrt(144)\/sqrt(4))\/sqrt(12)) + 5).\nAnswer: -7668 + 679*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -366, -302 in increasing order.\nAnswer: -366, -302, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62162461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - 1)*-34 + (-3)\/(-1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + (-57 - -312) - 75?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0317426 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6849 to the nearest one hundred.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-33.98\nAnswer: -3.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-96 + 6 + 16).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(1\/5))*l)*l*(l*l**(-11)*l*l*l)\/l)\/(l**(-2\/9))**(-42) assuming l is positive.\nAnswer: l**(-248\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:55 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 + 8*b**2)*(-b**2 - b**2 + 3*b**2) - b**4 + b**4 - 3*b**4 + 2 - 2 + b**4 + (3*b**2 - 3*b**2 + b**2)*(2 - 2 - 2*b**2).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95.01 + -96. Let p = 0.01 - j. Let d = -1 + 1. Which is the closest to p? (a) -0.2 (b) -1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -1. Suppose -4*b + 16 = -h. Let c(a) = -5*a + 2*a + 15 - 12*a. Let n(v) = 7*v - 7. Determine b*c(f) + 13*n(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 174449.8mg?\nAnswer: 174.4498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k. Let a be v(3). Suppose 0 = -5*d - d + a. Solve 0 = -y + 3 + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -25. Suppose -h - v*g + 102 = 0, 0 = -3*h - 2*g + 126 + 215. Does 2 divide 16\/(-28) - h\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {c: 2, b: 1, w: 3, e: 3, v: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*l - 2, 5*h + 4*l = 5 - 11. Suppose -46*v + 37*v - 666 = 28*v. Sort -4, 2, h, v in increasing order.\nAnswer: v, -4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) - 36\/40. Let w = 86839\/22 + -3946. Let i = -3\/11 - w. Which is the biggest value? (a) y (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99195043 is divided by 9003.\nAnswer: 8992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -28160, 0, 5 in increasing order.\nAnswer: -28160, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44844 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3739\/2 + 1869. Let m be 5\/3 + (-2)\/(-6). What is the fourth smallest value in 1\/10, 1\/5, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.4, 1753, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3747 divided by -259?\nAnswer: 3747\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -32. Let r be 3586\/10 + x\/(-20). Suppose -2*c + c = -r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5986249 and 2961?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*x - 4*x + 5*w, 5*w = -5*x - 5. Suppose 2*j + 555 = 5*f + 5*j, 0 = -x*f + 4*j + 362. Suppose f = -13*z + 16*z. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/7 + 30*k**3 + 426*k**2\/7 + 214*k\/7.\nAnswer: -2*k*(k - 107)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 - 3*w - 5. Suppose x - 5*b = 20, 2 = -3*x + 2*b - 3. Let d be f(x). Calculate the remainder when 37 is divided by (-1196)\/(-65) + 6\/d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*w - 71, 2*w - 3*y = 7*w - 180. Is w <= 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6\/(t**10\/t*t) assuming t is positive.\nAnswer: t**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4949119 litres in millilitres?\nAnswer: 494.9119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2074\/(-7)*(-99 - -92).\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 17*k**2 - 17*k - 12. Suppose 5*i - 4*c = -0*i + 86, -3*i - 2*c = -56. Let z be l(i). Suppose 54 + 234 = z*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 12*r**3 - 10*r**2 + 4. Let x(c) = -14*c**3 + 9*c**2 - 4. What is 6*j(v) + 5*x(v)?\nAnswer: 2*v**3 - 15*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/12 - (-1573)\/4 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 tztvtzvvtt. What is prob of picking 1 t and 1 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 greater than -3\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8 = 63*i, 0 = 53*v - 58*v + 2*i + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -407.89 - -0.01736599.\nAnswer: -407.87263401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*l - 1. Solve 0 = -0*h - h - v, 0 = l*h - 2*v + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/28)\/((-2)\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 69*c**3 + 6*c**2 + 14*c + 9. Let j(l) = -139*l**3 - 11*l**2 - 26*l - 17. Determine 11*i(y) + 6*j(y).\nAnswer: -75*y**3 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3739.\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (127092\/19936)\/((-8)\/128)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15648392755 - 15649107150.2741. Let i = -714461 - o. Let r = i - 0.0741. What is r rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 69. Let n be ((-5)\/m)\/5 - (-298)\/10. Let u = 41 - n. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-341175)\/363920)\/((-30)\/248).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 + 87. Let s = v + 51.4. Put s, -3, 1\/4 in decreasing order.\nAnswer: s, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**12*q*q*q**11)**(-45)\/((q**6\/q)\/q**(-7)*((q**(-2\/9)\/q)\/q)**16) assuming q is positive.\nAnswer: q**(-598\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 18 = -4*k, -3*i + 3*k + 6 = 6*k. What is the nearest to 1\/3 in 5, -5\/3, i?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-650)\/15)\/(-13)*(-120)\/1400.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 4*m + 4. Let p be j(5). Let o = 5 + p. Sort -1, o, 3 in ascending order.\nAnswer: -1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.9632 days in microseconds?\nAnswer: 61254420480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s + 6. Let b be m(-5). Let d = b + -6. Suppose 3*y = d*y - 24. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 4296.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. Suppose f*d + 5754 - 1823 = -3*u, 0 = 2*u - 5*d + 2590. Is 13 a factor of (-2)\/10 + u\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*z - 1. Suppose -z*s = -6*s - 6. Let r = s - -2. Solve 45 = -r*y - 5*g, 5*y - g = -2*g - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1. Let r = 35 + -23. Suppose a - 5*b = -16, -3*a - 2*a = -2*b - r. Let f(k) = -106 + 91 - a*k + k. Calculate f(p) - 15*s(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 22. Let g = w - 8. Let j = g + -1. Let c(b) = b**3 - 4*b**2 + 2*b + 2. Calculate c(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by -247\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k - 2. Let o be (0\/(8\/4))\/(7 - 5). Calculate i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -711, -1623, -2921, -4617, -6723, -9251, -12213?\nAnswer: -15621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -26 + 6 + -8 + 7 + 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2)*d)**29*d*d**(2\/45)*d*d**(-13))**(-10\/3) assuming d is positive.\nAnswer: d**(-2929\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.5 - -16. Sort j, 2, -2\/7 in decreasing order.\nAnswer: 2, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -33. Let x = 19 - w. Let i(y) = -y**3 + y**2 - y + 38. Let m be i(0). Calculate the highest common divisor of m and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 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: Suppose b + 23 = 2*v, -5*v + 75*b = 71*b - 65. Suppose 0 = 2*i - z - 2, 3*i + 4*z + 2 = 5. Calculate the lowest common multiple of i and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2 - 7*i + 0 - i**3 + 12 + 0*i**3. List the prime factors of f(-9).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 59*o + 9039. Calculate the smallest common multiple of 4160 and f(-125).\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111 (base 2) to base 7\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -1668, -5323, -12430, -24141, -41608, -65983, -98418?\nAnswer: -140065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9602?\nAnswer: 2, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.97 - -11.87. What is the nearest to 1 in u, 3, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -238.\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 + 31425\/450)*3\/(-190)?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 6*d + 5. Let w be y(-6). Let t(n) = -n**3 + 14*n**2 - 38*n + 7. Let k be t(4). Suppose k*u - 56 = u. Put 1, u, w, -3 in increasing order.\nAnswer: -3, 1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.4039 in -0.11, -4, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -299a1?\nAnswer: -299a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p. Let y be n(12). Let j = -132 + y. Let c = j + 73. Calculate the remainder when 62 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230976748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 - -13 - (32 - 25))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 470753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3726.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37.90374 milligrams?\nAnswer: 37903.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 203 = g. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.075 + 4. Let h = -6.475 - s. Let m = 6 + h. Sort -2\/7, 2\/11, m in ascending order.\nAnswer: m, -2\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233356 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + -165. Let h be 163\/(-4) - 132\/k. Which is bigger: h or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from oeeek?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13582 - 13258. What is the remainder when 1309 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 341*i**2 + 14811*i + 3541. What is z(380)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from {e: 1, j: 3, s: 2, l: 9, n: 1, z: 3}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 6:38 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 19*y**2 + 24*y - 93. Let u be n(18). Solve 47 = -u*f + 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4)\/(1\/29). Let y(i) = f - 29 - 15*i**2. Let c(a) = -2*a**2. Calculate y(c(p)).\nAnswer: -60*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19873 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/232*48 + -18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/24 + n**3\/6 + 5*n**2. Let y be f(1). Solve k + 1 = -y*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Calculate the least common multiple of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 + (-3 - (-4 + 3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 - 2)) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*h + 844*h + 601*h + 425*h + 2.\nAnswer: 2467*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1709736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 + 14*i - 10. Let v be t(-8). Suppose -v*o + s + 1 = -9*o, -3*o + 4 = -4*s. Solve 3*u = -4*q - o*u + 35, -2*q - 5*u + 35 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 1\/8, 3, -4\/129?\nAnswer: -4\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*t + 16, 0*v - 5*t = -v + 20. Suppose v = 6*g - 3*g - 549. What are the prime factors of g?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (-1 + sqrt(76) - sqrt(76)))**2 + (-2*sqrt(171))\/sqrt(9).\nAnswer: -6*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527727604.\nAnswer: 2, 149, 885449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 11*p - 20 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -32. Is 2 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/252 - o**6\/90 + o**5\/60 + o**4\/9 + 7*o**3\/36 + o**2\/6 - 6*o. Factor k(m).\nAnswer: -(m - 2)*(m + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 10*x**2 + 2*x - 2. Let t be c(-7). Let m = t + -127. Solve -m*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -235, -237, -239, -241, -243?\n\"Answer: -2*c - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 5*k**2 - 3*k + 2. Let o(z) = 5*z**3 - 7*z**2 + 4*z - 3. Let i(s) = -5*o(s) - 7*y(s). Calculate i(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 - 98. What is the second derivative of -44*i**4 + 44*i**4 - v*i**2 + 2*i**5 + 54*i**2 + 151*i wrt i?\nAnswer: 40*i**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 36 = -6*n. Suppose 45*q + n = 33*q. Sort -4\/17, q, 0.06 in increasing order.\nAnswer: q, -4\/17, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(4*k**5 - 4*k**5 + 2*k**5) - 4655*k**3 - 7753*k**3 + 53798*k**5 - 53799*k**5.\nAnswer: 3*k**5 - 12408*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 734*s - 1462*s + 727*s. Let b(t) = 10*t + 65. Give p(b(x)).\nAnswer: -10*x - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106.1 + -106. Let f be 5\/(32050\/3851) + 36\/(-60). Which is greater: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62514 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -8*h + 2*h. Suppose -5*y = -143 - 102. Let b = y + h. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 1, u: 1, j: 1, a: 5, w: 1}. What is prob of sequence aj?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17942 - -17924. What is the nearest to 1 in 2, v, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -44*k**3 - 4*k**2 + 7*k - 19. Let s(m) = -91*m**3 - 7*m**2 + 13*m - 35. Give 4*s(v) - 7*y(v).\nAnswer: -56*v**3 + 3*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.68 - 1.32. Let x = -514 + 518. Which is the nearest to -1\/3? (a) j (b) x (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 147*r - 47*r - 43*r - 43*r in the form b*r + p and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1891 bigger than 9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3207, -4, -0.1, -30 in decreasing order.\nAnswer: 3207, -0.1, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:15 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 5*u**2 + 6*u - 3. Let x be c(-3). Suppose -5*z + 5 = 0, 3*n + z = -0*n + 13. What is the third smallest value in x, n, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 16 = 3*j. Suppose 7*x - 3*x = 5*a - 50, -5*x = 3*a + 44. Let h(o) = -o**2 - 15*o - 3. What is the remainder when h(x) is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26997 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 3 + -3 - (-2 + 0 + sqrt(720))**2.\nAnswer: -724 + 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 6:47 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h - 193 + 193)*(2 - 3 + 3)*(-7*h - 30*h**2 + 7*h).\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**7\/840 - o**6\/480 + o**5\/240 + o**4\/96 + o**2 + o. Factor i(k).\nAnswer: -k*(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r - 9. Let v be h(-2). Let x be v\/54*(-7 + 11). Let s = 1\/9 - 11\/18. Which is the fourth smallest value? (a) s (b) x (c) 1\/2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 564258.418 and -0.1?\nAnswer: -56425.8418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1028.5 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (136\/(-10))\/(10 - (-4520)\/(-450)). Suppose 3*d = -m + 345. Calculate the remainder when 13 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011111011110 - 10101?\nAnswer: -111011111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/20*(-1 + -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3*19)\/((-22)\/(946\/43))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -25*m + 158. Suppose -m*a + y = -28346, -3*a + 28349 = 2*a - 4*y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-75)\/(-4000)*-8?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l + 60 = 31*l. Let y(a) = a**3 - 14*a**2 - 17*a. Let b be y(l). Is (-11952)\/b - (-6)\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i**3*x + 3*i**3 - 87988*i - 56503*x wrt x?\nAnswer: 4*i**3 - 56503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13785 and 16542.\nAnswer: 82710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (16\/(-8268) + 3). Let d = -274895\/8268 - n. Which is greater: -32 or d?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(242)*1 + -2 + sqrt(242)*1 + 2 + -2*-2*sqrt(242))**2 + -5.\nAnswer: 11611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 120061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4446076 or 2?\nAnswer: -4446076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155 (base 6) in base 14?\nAnswer: 5c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157207, 628828, 1414863, 2515312?\n\"Answer: 157207*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 13. Suppose 5*r - 10 = -5*x, 0 = p*r - 2. Let g(v) = 30*v**2 + 178*v - 11. Let o be g(-6). Solve -2*h = -o - x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -43. Suppose 0 = -10*n + 5*n. Suppose p - 4*p + q = n. Solve -17 = -4*t - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*n - m, -5*n + 17*m - 13*m = 55. Let y = -128 - -73. Let z = n - y. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 v when three letters picked without replacement from {g: 3, r: 6, k: 1, b: 6, v: 1, h: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*c - 2 = -87*c - 6*n, 0 = 3*c - n + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002567 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + -42 + 100 - 34.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/7 (b) 6.4 (c) -5 (d) -1 (e) 0 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2. Let v = -146\/3 + 48. Let n = 2279 - 2278.99. Which is the nearest to -1\/3? (a) n (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2517.37 - 4273462\nAnswer: -4275979.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 614928 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -23*n**2 - 3*n - 20. Let w be b(-3). Let p = w - -156. Let l = p - -84. Solve 4*a = 2*h + l, -15 = -5*h - a - 3*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l**3\/7 + 7803276*l**2\/7 + 40967620*l\/7 + 9754200\/7 = 0.\nAnswer: -5, -1\/4, 487710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*d + 76*d - 10 = 0. What is the tens digit of (-213 - 5)\/(-2) - -1*d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + (-48)\/(-9))\/(3\/(-9))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 50. Let m = o - 69. Let y = 28.00000045 + m. Round y to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 4*k - 5*o - 385, -9*o = -2*k + 120 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:38 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(504) - -5*(sqrt(504)*4 - sqrt(504))))\/(sqrt(16)\/(sqrt(288)*2)).\nAnswer: -5760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-44) + 31\/11. Suppose -3*f + p = -2*f. Suppose -4*t = f*w - 203 - 104, 0 = 4*w + 5*t - 411. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*t = -27602 + 22252 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2252, -2399, -2546?\n\"Answer: -147*r - 2105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24168, -48271, -72374, -96477, -120580, -144683?\nAnswer: -168786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, o: 2, s: 1, x: 4, c: 3}. Give prob of sequence soc.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -155*p**2 - p. Let j be m(-2). Let d = j + 9418. What is d rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 2. Let r be u(5). Factor -3*d**2 + 5*d + d + 2*d**2 - d**2 - 2*d**4 + 4 - 6*d**r.\nAnswer: -2*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -601d + 1?\nAnswer: -601c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 + 3 + 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 + 1)) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6097\/23 - -265. Put 0.3, g, -0.5, 1\/4 in descending order.\nAnswer: 0.3, 1\/4, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(3\/(-169)*(-20)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**3 + 3*c**2 - 2*c + 2. Let t be d(2). Let k be 16\/(-96) + (-1)\/(-6). Suppose k = -n - 5*z + 66, n - 28 = -z + t. Does 27 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + v - 460, -2*v + 7*v = -25. Let q = n + -54. Suppose 0*o = o - 2*z - q, 0 = -z. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1358 and 21728?\nAnswer: 21728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/24*90\/148. Let d = -101249171\/2220 - -136801\/3. Let t = s - d. What is the common denominator of 59\/16 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 3*m**3 - 7*m**3)*(0 + 0 - 7*m) + 7*m**4 - m**4 - 2*m**4 - 3*m**2 - 4*m**4 + 3*m**2.\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1936)\/(-363))\/(6\/12609).\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let s(b) be the third derivative of b**5\/30 - b**3\/6 - 2*b**2. What are the prime factors of s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 2, n: 1, w: 2, a: 2, e: 1}. Give prob of sequence enaw.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(1\/10)*x**(1\/8)\/x*(x**(-2\/7)*x)**(6\/7) assuming x is positive.\nAnswer: x**(1641\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 489*c - 485*c - 16, 0 = p + 5*c - 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28568*h**3 - 4*h**2 + 258*h.\nAnswer: 171408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11422647 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2696800044.\nAnswer: 2, 3, 224733337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 + 50*q**3 + 48*q**2 - 50*q - 49 = 0 for q.\nAnswer: -49, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435395?\nAnswer: 3, 5, 13, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82, 786, 2276, 4400, 7170, 10598?\n\"Answer: 2*y**3 + 299*y**2 - 43*y - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/3, 2.2, -1\/8, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, c: 8}. What is prob of picking 2 s and 1 c?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -921 + 3076. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -4 - ((-1 - 8) + -38 + 42)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 5*j. Let i(n) be the first derivative of 7*n**3\/3 + 139. Determine s(i(r)).\nAnswer: -98*r**4 - 35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*v + 10 = 0, 0 = -5*k - 0*k + 5*v + 15. Let j be 2\/(-4) + (0 + k - 2). Let b = -1 - -0.6. What is the closest to j in -0.2, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-9)*(-45)\/10. Find the third derivative of 91*o**3 - 38*o**3 - 50*o**2 - 4*o**u wrt o.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 123, 299, 525, 789, 1079?\n\"Answer: -2*c**3 + 43*c**2 - c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -1431?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 1.5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1664776064 less than 17?\nAnswer: 1664776081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0411426 - -33.9585574. Let j = 34 - w. What is j rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxpl when four letters picked without replacement from {p: 3, x: 2, l: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 bigger than 0.0336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 31*d**3 + 103*d**2 - 103*d**2 - 8*d**3 + 0*d**3.\nAnswer: -39*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.985314 rounded to 1 decimal place?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/717 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144 * 4.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 21*h**2 + 63*h + 83. Let g(y) = 15850*y - 2*y**2 - 15850*y + 1. Let s(p) = -6*g(p) + 3*o(p). Factor s(d).\nAnswer: 3*(d - 9)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -3. Let i = 3061.3 - 3061. Which is the second smallest value? (a) i (b) -0.4 (c) -1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.763 + -428.763. Let x = 428.0134 + s. Round x to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6 - -448068.9.\nAnswer: 448067.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 18. Let z(g) = -4*g**2 - 232*g + 3*g**2 + 223*g - 16. Let u be z(s). Put 3, 1, u in descending order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 490 + 7*p**2 - 490 - 12*p + (-p + 5 - 1 - 3)*(-5*p + 2*p - 36 + 34).\nAnswer: 10*p**2 - 13*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26772620 and 44996?\nAnswer: 26772620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 18. Let k = -5 - -12. Let y = k + b. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1225 - 1223. Solve h = -5*r + 19 - b, 3*h = -3*r + 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 less than 98?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 151 and -23201.25.\nAnswer: -23050.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -2. Let x be v\/(1\/9*-1). Let a = x + 13. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1126138 and 346504?\nAnswer: 4504552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**4\/12 + 3*p**2 + 11*p + 12. Let i be 0*(-2 + (-12)\/(-4)). What is l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 5*l - 4. Sort -5, l, -4.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9*v = 4*v - 8, z - 3*v - 4 = 0. Factor -28*q**3 - 4*q**z + 2*q - 6*q - 64*q**2 - 44*q.\nAnswer: -4*q*(q + 2)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5984692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + -95 + 88?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.155, -4, -0.7, 2296 in decreasing order.\nAnswer: 2296, -0.155, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**4\/i*i)\/(i**(-4\/3)\/i)*(i**(-2\/5)*i)**(-10))**18)**(-14) assuming i is positive.\nAnswer: i**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 229 - 1201 = -25*t + 1055 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 91 - 23)*(-2*x**5 + 0*x**2 + 0*x**2 + (-3*x**3 + x**3 - x**3)*(-2*x**2 + 0 + 0)).\nAnswer: 548*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2333 - 5*s**2 - s**3 - 2333.\nAnswer: -s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43597987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -8 - 78. Let b be z\/(-3 - 3800\/(-1245)). Let s = -2473\/3 - b. Find the common denominator of s and 47\/2.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -1) + 10 + -24 + 7. Let t(r) = -2*r**3 - 4*r**2 - 4*r - 5. Let b(v) = -2*v**3 - 5*v**2 - 4*v - 6. What is h*b(j) + 6*t(j)?\nAnswer: -2*j**3 + j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.52 - 11.82. What is the third biggest value in -85, k, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -931, -1398, -1865?\nAnswer: -2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/49230 and 61\/41025.\nAnswer: 246150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 1\/3, 3\/8, 176, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-3)\/(-6)*-2. Suppose -3*g = 5*a + 2*g - 20, -4*a = d*g - 14. Let x be (a\/4)\/(3\/30). Solve 5 = -x*z + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -44. Let o(j) = j**2 - 5*j - 68. Let t be o(h). Let k be 91 - (-2)\/(-2 + 0). What is the highest common divisor of k and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 3975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -619*g**3 - 253*g + 308*g + 1 + 599*g**3 as c*g + n*g**2 + h + y*g**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 872*y**3 + 521*y**2\/2 + 5222. Find the second derivative of q(j) wrt j.\nAnswer: 5232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-3))\/(2\/2268). Let k = 1472 + a. Let l = 1161 + k. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -107, -120, -139, -164, -195, -232?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 3*w - 2*w + (-1 + 1 + w)*(-1 - 3 + 2) + (2*w - 5 + 5)*(0 - 1 + 0) - 3*w + 3*w + w + (-4 + 3 + 3)*(3*w + 3*w - 4*w) + 3*w - 2*w - 3*w - 4*w + w + w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/70 and -29\/16450.\nAnswer: 16450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5961, -22382, -49759, -88098, -137405?\nAnswer: -197686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/48 and -25\/1725276.\nAnswer: 6901104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 59183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2. Let y(c) = -3*c + 47*c - 45*c. What is o(y(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*8 - -1. Suppose -s - t = -2*s. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4599, -16, -2, 1 in decreasing order.\nAnswer: 4599, 5, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 6 + -11 - -13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - -13)*(0 + (-42)\/(-4))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.025 greater than -213205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 - 2 - 76*z**2 + 77*z**2 in the form n*z + s*z**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2042\nAnswer: -2\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657874.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -9283.\nAnswer: 4\/9283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 + 68*t + 33. Let s be r(10). Let q(u) = -u**3 + 18*u**2 - 66*u + 18. Give q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z + 168. Let f be j(0). Let g be (-5 - (1 + -2)) + f\/2. Suppose -46 = 5*s - 146. Calculate the greatest common divisor of s and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 0.1 (c) 0.7 (d) -1.9 (e) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3081 (base 9) to base 4.\nAnswer: 203110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -31*i**3 + i**2 + 6*i + 3. Calculate the remainder when z(-2) is divided by 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0*c**2 + 4*c**2 - 2*c**2. Let f(b) = 496*b - 19 + 118 - 172*b. Let v(x) = 13*x + 4. Let h(o) = -4*f(o) + 99*v(o). Give q(h(a)).\nAnswer: 162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 89, -2.5, -0.2, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = n - 22, 37*n - 33*n - 97 = -w. Solve 5*i + n = s, 3*i = -3*s + 5*i + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1 = -13. What is the closest to 1 in q, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -143*r**3 - 1012*r**2 + 2282. Find the second derivative of l(b) wrt b.\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8 and (2\/24)\/(5 - 1388\/276).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 4\/8*-10. Suppose 0 = -p*t - 21 - 25. Let s = -17 - t. What is the lowest common multiple of s and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1 + 7. Let j be m\/(-1) + (1 - 1). Solve -4*y + 26 = 2*i + j, 2*y - 5*i = -2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*-2897\nAnswer: 37661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 23*p + 638 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.8? (a) -2\/3 (b) -0.5 (c) -10 (d) -0.3 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s*s\/s**(2\/17)*s)\/s)*(s**(1\/11)\/s)\/s assuming s is positive.\nAnswer: s**(-709\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 4*u - 4*c - 112 = 0, -46 = -2*u + 2*c. Is u > 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -22, 4, -278 in ascending order.\nAnswer: -278, -22, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 63615*a + 127218.\nAnswer: 3*(a + 2)*(a + 21203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (71 + -75)\/(1\/30)*72\/(-600). Determine h, given that 3\/5*h**2 + 15*h + j = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 1011 - 771 = 0. Solve -3*l + s - 7 = 0, -5*l - 5*s - z = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1831 + 9 - 1840 - 25*d**2.\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from ppprrerrrrpepeeppprr.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193820730*t**3 + 252*t**2 - 2067*t + 23 wrt t.\nAnswer: 1162924380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-26 - (3 + -2)). Solve 3*x**3 + 0*x**3 - 12 - 6*x**3 - 15*x**2 + 6*x**3 + k*x = 0 for x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.331827, -3, 1 in increasing order.\nAnswer: -18.331827, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/413625?\nAnswer: -2\/413625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.5. Suppose 4*k + 4*f = -f - 33, -k = 3*f + 10. Let d be (2 + -3)\/(k - -6). Which is the nearest to -0.1? (a) -1 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60921*p = 60940*p - 627 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188.00000487 + -188. Round f to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28875733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 4:24 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -41*o + 110. Let v(m) = m**2 - 122*m + 330. Let x(c) = -7*p(c) + 2*v(c). Is x(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 - y**4 - 3*y**4 + (0*y - y + 0*y)*(-2 + 2 - y**3) - y**4 - 6*y**4 + 2*y**4 + (-2 + 5 - 1)*(y**4 - 5*y**4 + 3*y**4) - 11*y**4 + 2*y**4 + 3*y**4.\nAnswer: -15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.59073 and 20371.\nAnswer: 20370.40927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -4271 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 1115256201?\nAnswer: 1115256201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408 and 884?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445 - 22*a**3 + 445.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838 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: Which is smaller: -20.1234 or -3?\nAnswer: -20.1234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-600)*25)\/((-1)\/(3\/6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 1, 5*c - 131 = -s. Calculate the least common multiple of 4 and 4\/10 + s\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 14*r**2 - 12*r - 8. Let v(z) = 5*z**2 - 4*z - 3. Let a be (3\/3)\/3 + 8\/3. Give a*s(q) - 8*v(q).\nAnswer: 2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by -14 - -7 - (-9 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((1518\/11132)\/(180\/(-22)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p*p\/((p*p**(-1\/2))\/p)*p)\/p)))**(-2\/45)\/((p\/(p*p**(-7)*p*p)*p)\/p**(-7)) assuming p is positive.\nAnswer: p**(-118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -216 - 1?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14541546 (base 9) to base 10.\nAnswer: -7231398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 4*w + 2*w - 47972.\nAnswer: 5*w - 47972","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/((-2)\/(-12)). Suppose 2*a + 3 = -3. Let g be (2 - 4)*a\/6. Is f >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.324 + -8.324. Let z = 0.34 - -0.06. Which is the third smallest value? (a) 0.09 (b) x (c) -0.3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19 - 70.59. Let x = -70 - b. Let s = 3 + -2.8. What is the nearest to 1\/2 in -3, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130413 (base 7) to base 8\nAnswer: -57230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -0.2, 3 in increasing order.\nAnswer: -0.2, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:43 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/(-68))\/((-4)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 - 13 = 0. Solve 11 = a - f*o, -a - 2*o = 4*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*p**3 + 127919*p**2 + 2*p + 101081067 wrt p.\nAnswer: -96*p**2 + 255838*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 3*d**8\/2240 + d**5\/24 + d**4\/4 - 4*d. Let c(m) be the third derivative of y(m). Differentiate c(s) with respect to s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(252) - sqrt(252)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*u - 2784 = -30*u + 12*u + 51*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 7}. Give prob of picking 1 u and 3 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b**2 - 75*b**2 + 31*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -17*s**3\/3 - 5*s**2\/2 + 7*s + 1. Let j(r) be the first derivative of f(r). What are the prime factors of j(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 37*c**3 + 32*c**3 - 71*c**3 - 6*c**2 + 17*c**4 + 0*c**2 + 2 in the form h*c**3 + w*c**2 + y + i*c**4 + b*c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38095 + -10301. Suppose 5*s + 2*p = -n, -5*s = 5*p + 37342 - 9557. Let x = -2853 - s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 11 - (-15 - -30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/((-24)\/32) - (-760)\/(-40)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f**3 + 6*f**2 + 4*f - 9. Let c(v) = -9*v**3 - 5*v**2 - 3*v + 8. Determine 7*c(a) + 6*m(a).\nAnswer: -9*a**3 + a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 10*k - 10. Let x be n(8). Suppose -2*j - 2*o + 2 = 0, -9*o + x*o + 3 = 2*j. Let c be (4 - 3)*(0 - j). Solve c*d + 3*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1157*p = 2075*p - 35802 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637494?\nAnswer: 2, 3, 11, 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45466*f - 45866*f + 5600 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l + 14. Suppose 3*y + 2*g = 0, 9*y - l*y + g + 1 = 0. Suppose -y*b = -22 - 0. Calculate the greatest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 3*f**3 + 3*f**3)*(f - f - 2*f) - 3 + 1 - f**4 - f**4 - 2*f**2.\nAnswer: -4*f**4 - 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. What is the remainder when ((-6)\/10)\/(q\/10) is divided by 642\/214 - (-3 + 3)*(-4)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v + 3*v)*(1 - 1 + 2*v).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + l + 25 = 0, 4*l = 5*y - 1 - 24. Suppose k + b = 0, -12 = -y*k + k - b. Suppose k*u = -8, u + 151 = 2*n - 207. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856 is divided by 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.0913t in nanograms?\nAnswer: 66091300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*f**5 + 320*f**4 - 8624*f**3 + 23232*f**2 = 0. What is f?\nAnswer: -12, 0, 22\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -2\/15, -9\/385 in ascending order.\nAnswer: -5\/6, -2\/15, -9\/385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2956*r**2 + 9*r + 5. Let j(m) = -739*m**2 + 2*m + 1. What is -9*j(u) + 2*y(u)?\nAnswer: 739*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0*v**3 + 13\/105*v**7 - 6*v**2 - 23\/60*v**5 + 0*v**4 + 0 + 0*v + 0*v**6. What is the third derivative of n(i) wrt i?\nAnswer: 624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/7 of a week in days?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160939 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -25 (b) -1 (c) -3 (d) -0.4 (e) 2 (f) -2\/15 (g) 23645\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46*5\/180*18 + -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**8\/336 + 8*o**7\/105 - 25*o**4\/12 - 110*o**2. Find the second derivative of s(z) wrt z.\nAnswer: -20*z**3 + 192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -513*q**3 + 0*q + 3 + 514*q**3 - 10*q**2 - q. Calculate r(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53117380.\nAnswer: 2, 5, 1229, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 12*t**2 + 16*t + 15. Calculate o(11).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73055, -73056, -73057?\n\"Answer: -i - 73054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4 + 160*y**3 - 3642*y**2 + 17612*y - 21904 = 0.\nAnswer: 2, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - o**2 + 2. Let w be u(0). Suppose -w*t + 8 = 2*t. What is the tens digit of (1 + -2)*(-14 + t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0998638512+-84\nAnswer: -84.0998638512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -388, -585, -782, -979?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 212\/711 - 6\/79. Sort -1\/5, x, 2.\nAnswer: -1\/5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 3*n. Suppose 8 = 4*m - 6*m. What is the smallest common multiple of p(m) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2365, -2333, -2279, -2203?\nAnswer: -2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (3*sqrt(275))\/sqrt(5) - sqrt(5500)*4)\/((sqrt(5) - sqrt(45)\/sqrt(9))*2 - (sqrt(5) + (sqrt(5) - sqrt(5)*2)*3 + sqrt(5))).\nAnswer: -42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3073 < -305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 2 - c)*(-75*c - 28*c + 567 - 568) to a*c + p*c**2 + j and give p.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1926 and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*s = -10, -2*s = 3*s + 20. Suppose -c = -3*l + 13. Let j(k) = 5*k + 46. Let y be j(-9). What is the greatest common divisor of l and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let m = 567\/5 - 113. Let h = -199 - -199.5. Which is the closest to -0.1? (a) h (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*l - 617 + 617)*(5*l**3 + 2*l**3 + 5*l**3)*(-4 - 3 + 6) to z + h*l**4 + u*l + c*l**3 + v*l**2 and give h.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p + 15*p + 55 = 0. Suppose v = p*v - 80. Suppose m = 2*b - 2 + 13, 4*b = -2*m - 10. Solve n + v = -m*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10028147 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-22))\/((-6)\/(-28 + -2)). Is 0 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:03 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 9. What is x(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-121 - -34) + 64 - 67\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:58 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 972831.1 litres in millilitres?\nAnswer: 972831100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - 260476?\nAnswer: -260520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-660)\/50)\/11)\/((-3)\/15 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/693 and -59\/308?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -5*z**4\/12 - 5*z**3\/6 + 75*z**2 + 168*z. Find b such that u(b) = 0.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.182250191 to 4 dps.\nAnswer: -0.1823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwyywlyyyww. Give prob of sequence wywy.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnmcmcmccncncnc. Give prob of picking 2 n and 1 c.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - ((0 - 0) + -111) is divided by -1*(0 - -1) + (44 - 15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-20)*y*y)**(-2\/17) assuming y is positive.\nAnswer: y**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Three letters picked without replacement from ggwnannnww. What is prob of picking 2 n and 1 w?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71, 74, 77, 80, 83?\n\"Answer: 3*s + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + c = 2427, 4*c = -3*o - 158 + 1587. Calculate the remainder when 985 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 41, 16, -17?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuv when three letters picked without replacement from {v: 5, u: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0728 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 352.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15775 less than -15009.929268?\nAnswer: 765.070732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13113 + -1?\nAnswer: 13112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151523 is divided by 4450.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 48 = 14*i. Suppose -2*g = 2*r - 6, 5*g = r + 23 + i. Solve 4*v + g*p - p = -8, -2*v + 5*p = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-84))\/((-15)\/(-18))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 364 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2. Let l(i) be the second derivative of 0*i - i**3 + 3*i**3 - 34*i. Determine l(b(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let j(z) = 27*z + 14. Let h(g) = 164*g + 91. Let y(i) = -6*h(i) + 39*j(i). Give q(y(b)).\nAnswer: -4761*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(6 + (-60)\/9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 17*b**2. Let r be x(-17). Let t(c) be the second derivative of -1\/30*c**5 + 1\/90*c**6 + 0*c**2 + 0*c**3 + r + c + 1\/36*c**4. Solve t(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3213924?\nAnswer: 1\/1071308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/271 - -262\/813. Suppose 3*j - 22 + 40 = 0. Let d be (4\/6)\/(19\/3 + j). What is the nearest to r in 0.3, d, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 105*y - 1939. Determine l(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2 = 7*k, 57*r - 4*k = 52*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - b**5 + b**5 + b**5 + 2*b**4 - 2*b**4 + (0*b**3 - 5*b**3 + 2*b**3)*(5*b + 7 - 7)*(-2*b - 3*b - 4*b).\nAnswer: 137*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2462\/10917 - -4\/1213. Let s = 4.051 - 0.051. Sort 0.1, p, s, -9\/14 in descending order.\nAnswer: s, 0.1, p, -9\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575981356 to the power of 1\/2, to the nearest integer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 16 - 1)*(3*x - 5*x - x) - 253*x - 13*x + 1771 - 1769 in the form n + i*x and give i.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3824*o + 482012 = -24354*o - 905404 + 401976 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 7*j. Let a be t(-5). Suppose -10 = -3*x + 3*z + 20, 5*x = 3*z + a. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*b + 4402 - 23543, -b - 7652 = -2*t. Is 3825 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-14) + (-11)\/(-77). Sort g, -5, 1 in ascending order.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 978591 and 23810.\nAnswer: 9785910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3. Let u(z) be the first derivative of z**4\/4 + 7*z**3\/3 + 5*z**2\/2 - 5*z + 7. Let y be u(-6). Which is the biggest value? (a) 2\/11 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 32*m**2 + 57*m + 558. List the prime factors of l(-9).\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.0201588 to the nearest integer.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8186671 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - -22.53\nAnswer: 22.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8351.82705 to the nearest 10.\nAnswer: 8350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 44 = 916*k - 914*k, -2*h + 4*k = 88 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/((-34)\/(-12)) + 1*-1. What is the second smallest value in t, 2, 0, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35434466 - 839\nAnswer: -35435305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -836 + 849. Solve -r*z = 6 - 58 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57679?\nAnswer: 57679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2818 is divided by 701.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8995812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 13*s + 9*s + 4*s as z + i*s and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 4*t + 1 + t**3 + 3*t**2 + 1 + (3*t**2 + 0 + 0)*(0 + t + 0) to the form k*t**2 + a + m*t + q*t**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268886733 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(45\/(-180))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 40*i = -755536. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*z = 2444 - 3124. Factor 1\/8*w**2 + 1\/4*w + 1\/8*w**5 - 1\/8*w**z + 0 - 3\/8*w**3.\nAnswer: w*(w - 2)*(w - 1)*(w + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3) + 13888594\/282.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.092, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50413554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 56. Suppose 13*l = p*l - 18. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4677 - 15?\nAnswer: 4662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3977*h**4 - 4 - 3969*h**4 - h**3 + 2 + 0 - 4*h**2 as a*h + k*h**3 + s*h**4 + w + t*h**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.3619 - 31.235041. Round q to 3 decimal places.\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**3 + 2*y**2 - 5*y - 1. Let a(s) = 12*s**3 - 3*s**2 + 11*s + 1. Let g(c) = 2*a(c) + 5*b(c). Calculate g(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2464 (base 10) to base 12\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7*x + 3*b + 17166, -12880 = 3*x + 5*b. Let o = 10477 + x. Is o 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 - (4 + -7 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 79, 90, 115, 160, 231, 334, 475, 660?\n\"Answer: j**3 + j**2 + j + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/60 - a**4\/24 + 2*a**3\/3 - a**2. Let t(s) = -5*s - 2. Let w be t(-1). Let p(y) = y**2 - 1. What is w*p(l) + z(l)?\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 17*m**2 - m + 3. Let y(p) = -6*p**2 - 1. Let b(d) = 3*f(d) + 8*y(d). Is b(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655) + (sqrt(6655) - 2*sqrt(6655)) + sqrt(6655))\/(1*sqrt(99)).\nAnswer: 11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298 + -260 + 3 + 1 + -11.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let a be (660\/(-35))\/(-4) - 6\/(-21). Let k(g) be the first derivative of 0*g + 20\/3*g**3 + a + 0*g**2. Determine z(k(l)).\nAnswer: -800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36998*d - 36998*d - 150179*d**3.\nAnswer: -150179*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.61 + 0.19. Let n = -2.1 + q. What is the nearest to -1 in -1\/3, 2\/9, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - 0.5. Let m = w + -1. What is the smallest value in 4, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.07999955 + 1.08. Round w to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/112*-12 + (-794)\/(-434). Let d = 5741\/744 - x. Find the common denominator of d and (2\/4)\/((-10)\/(-66)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158998 less than -0.33?\nAnswer: 158997.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:06 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = -8*y. Let c(k) = -6*k**3 + 2*k**2 - 2. Is c(y) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459847.\nAnswer: 459847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/11 + 14*w**3\/11 + 20*w**2\/11.\nAnswer: 2*w**2*(w + 2)*(w + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -39.995. Let x = g + 0.095. Let v = -2 + 1.9. What is the closest to v in 3, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:01 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12744 and 2160?\nAnswer: 127440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a hour in minutes?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25124\/8703 - 2\/967. Find the common denominator of 6\/175 and b.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2 - (-111)\/6. Let v be 1383\/27 - (-4)\/(-18). What is the highest common divisor of l and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -4 (c) 0.02 (d) -0.1 (e) 2\/9 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 793, 3226, 7281, 12958, 20257?\n\"Answer: 811*v**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318216137 to the nearest integer?\nAnswer: 17839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722.2691 weeks to days.\nAnswer: 5055.8837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*l**2 - 2178*l + 1044558 wrt l.\nAnswer: 130*l - 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 391.6858 litres?\nAnswer: 391685.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -11*t. Let b(p) = -2*p**3 + p**2 + 2*p + 1. Let u be b(-2). Let r = u - t. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3952, -4723, -5494, -6265, -7036, -7807?\nAnswer: -8578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) 2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occocococcccccoccc. Give prob of sequence occ.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 386*p**3 + 3*p**2 - 5*p**2 + 418*p**3 - 15*p**3.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 5141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214430 + 0?\nAnswer: -214430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 65*l - 558. Let i be y(9). Solve 2*p = 5*w + 26, -5*p + 5*w = -i + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*p + 37 = 28, 0 = -o + 5*p + 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in -0.02, 2\/17, -140, -1\/6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n - 5*f - 720, -195 = -n + 5*f. Sort 2, n, -4 in increasing order.\nAnswer: -4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 2*m**2 + m + 2. Let b be (-12)\/18 - (-31)\/(-3). Let q = -9 - b. What is the tens digit of r(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -250\/3429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1659, 1654, 1647, 1638, 1627, 1614?\n\"Answer: -i**2 - 2*i + 1662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Let c be 376\/9 - d\/(-18). Suppose -37 = -2*f + 3*q, -5*q = -2*f - q + c. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {f: 19, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2*5*(-8)\/(-120). Sort -5, -2, 0.3, g in decreasing order.\nAnswer: g, 0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, -2, 1, 2.\nAnswer: -2, 1, 2, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 4. Let a be w(5). Is a > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2568967 days?\nAnswer: 22195874880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(2\/39)\/((k*(k*k**(-3\/8)*k)\/k*k*k)\/(k**(2\/11)*k)) assuming k is positive.\nAnswer: k**(-24979\/10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -29 + (-3 + 1)*1. Let y = 34 + b. Let x(l) = y*l**2 - 6*l**2 + 5*l**2. Let r(k) = -3*k. Calculate x(r(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**4 + 53*w**3 - 178*w**2 + 180*w. Let y(j) = 225*j**4 - 1695*j**3 + 5695*j**2 - 5760*j. Let c(v) = -65*t(v) - 2*y(v). Factor c(o).\nAnswer: 5*o*(o - 6)*(o - 3)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-15)*j*j**(17\/4))**(-10\/17) assuming j is positive.\nAnswer: j**(195\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2, 2\/3 in descending order.\nAnswer: 2, 2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - -43)*(1 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 83 + 0*o**2 - 64 - 10*o**2 + 208.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 2*w**2 + 3. Let p be f(0). Let o = 549 - 3827\/7. Calculate the common denominator of ((-26)\/p)\/((-4)\/18) and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 400\/(-20)*(5574\/(-1395) + 4) and 1\/8?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 743251991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7545.371 nanometers to micrometers.\nAnswer: 7.545371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {r: 1, x: 1, w: 2, h: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 55. Let n(g) = -g**3 - 10*g**2 + 25*g + 14. Let s be n(k). Suppose -3*v = -5*v + 6. Solve 2*d = -s*y + 6, 5*y = d + v*y + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2915 and 11.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/11 and (-452)\/30*(-30)\/280?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whccouuomcmcc. What is prob of sequence uuw?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37026 + 37036. Solve -9*z + n*z + 12 = -3*g, z = -4*g - 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + s = -0*t, 5*t + 5*s - 29 = -19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23983 - 549. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 2:27 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 725\/(-50)*2\/8 - 6\/16. Let p(d) = -d**2 - 2*d + 2. Let y be p(-2). Sort g, y, 6.\nAnswer: g, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-30))\/(1\/2). Let g = -3 - -3. Let j = g - 2. Which is greater: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239 + -230. Solve -y = 9*f - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba + -3?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 7. Let a(p) = p + 3. Let o(b) = -3*a(b) - l(b). Let r = -19 + 17. Give o(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*f + 23, j + 4 = 2*f - 6*f. Suppose 0*z = -3*z. Suppose z = 3*w - 8 - 1. Solve -5*y + 33 = j, -w*y = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 6*b**2 + 4*b - 51. What are the prime factors of t(5)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fackfkikkakkfifini. What is prob of sequence aaci?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103241433 (base 6) to base 11.\nAnswer: -1047a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -2?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0019 * 301.\nAnswer: 0.5719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/3 + t**4\/3 + 2*t**3\/3 - 2*t**2\/3 - t\/3 + 1\/3.\nAnswer: -(t - 1)**3*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.237 (b) -2\/7 (c) -28 (d) 10\/11 (e) -1\/5 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 4*g**3)*(0*g - 2*g + 0*g + (473 + 37*g - 473)*(0 + 4 + 4)).\nAnswer: -1176*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*n + 12, 4*n = 4*y - 6*y + 16. Solve -13*l - 29 - 23 = y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 - 2*h - 2. Let m be d(5). Suppose 3*t + q + 3*q - 58 = 0, -t - 5*q = -1. What is the highest common divisor of m and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 1, p: 5, q: 2, j: 1, s: 3}. Give prob of sequence sqd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Suppose -33 + u = -4*p. Solve 3*c + p = -7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.95 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-6)\/(-9) - 536\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 + 10*n**2 + 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30561 + 30558.9999. Let b = 2 + a. What is b rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 770912*n**2 - 7.\nAnswer: 770912*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -42 + 51 + -29 + -1 + (-9 - 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4684 is divided by 151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*c + 2215 - 1879 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (537 - 17)\/26 + -31. Suppose -4*r = 3*b - 17, -5*r + 3*b - 5 = -2*b. Put d, 5, r in ascending order.\nAnswer: d, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**3 + 6*l**2 - 2*l. Let r(z) = 11*z**3 + 13*z**2 - 4*z. Give -9*o(s) + 4*r(s).\nAnswer: -s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-6) - 6\/18. Let o be -1 + -1 + d + 13. Calculate the highest common divisor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 17 = -10*p + 3*x, 7*p + 7*x = -7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from kkkkllklkk.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (232\/(-261))\/(60\/(-18))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d + 19*d**3 - 29*d**3 + 13*d**3.\nAnswer: 3*d**3 + 44*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 182 + 214. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 - 2*c**2 - 7*c**2 - 16*c**2. Let i(a) = 3 + 5875*a**2 - 5878*a**2 - 3. Give i(w(z)).\nAnswer: -1083*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 528*a**3 - 147*a**2 - 548*a**3 - 358*a**2 + 4*a**4 wrt a.\nAnswer: 96*a - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 27*x = 2880. What is the highest common factor of x and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -0.7 (c) 1.4 (d) -24\/467\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 3*g - 237. What is o(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6018559, -6018576, -6018605, -6018646, -6018699, -6018764, -6018841?\n\"Answer: -6*q**2 + q - 6018554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -15*r**4 - 1670*r**3 + 67165*r**2 - 108380*r + 42900 = 0.\nAnswer: -143, 2\/3, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 43.8. Suppose 3*z - 4*l = -19, -3*z - l + 6*l = 23. Let x be (-69)\/(-24) - 2 - 1. Which is the third smallest value? (a) x (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {x: 5, q: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165*w**2 + 34?\nAnswer: 330*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*r**3\/2 + 1502487*r**2 + 23561745*r\/2 - 1897596 = 0. Calculate r.\nAnswer: -52711, -8, 3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46520423 divided by -17?\nAnswer: -46520423\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 21.2?\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342b7 (base 12) to base 8.\nAnswer: -207653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let d = -11 - -16. Solve -2*y + d = -5*s, s = -3*s + h*y - 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39293, -78587, -117883, -157181, -196481?\nAnswer: -235783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 31637356.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733*p = 1722*p + 77 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 44*c**2 - 42*c + 315. Let q be i(-45). Let u = -4 - -10. Calculate the greatest common factor of u and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r**4 + 5289*r**3 + 299373*r**2 - 75174*r = 0.\nAnswer: -374, -67, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 25*o - 32. Suppose -2*j + 160 = -12*j. What is the least common multiple of a(j) and 2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjnxuuixjdunjj. What is prob of sequence ij?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = 4, 3*b = c - 11. Let p = -26.314 + 26.014. What is the second biggest value in p, 1\/7, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.85339 and 0.3.\nAnswer: -0.556017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -22, -1, -3 in ascending order.\nAnswer: -22, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**17*c**(-3\/8)*c**(-1\/7)*c*c**(7\/8) assuming c is positive.\nAnswer: c**(257\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 20 = -250*j + 245*j, -3*i = 3*j - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + 43. What is the lowest common multiple of l and 12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (4 - (11 - -4 - -4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) 64419 (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -953*r + 14066. Give l(15).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -45*i**2. Let y(b) = -3533 + 1183 + 1160 - 5*b**2 + 1190. Determine a(y(x)).\nAnswer: -1125*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-3) - (-86)\/(-2)) + -4. Which is the closest to -1? (a) 0 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -58. Is 196\/3 + 16\/z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 2. Let u = 23 - 16. Suppose -u - 3 = 2*c. Put k, 4, c in decreasing order.\nAnswer: 4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 75. Suppose -6*p + p = d*i - 22, 0 = -2*i + 4*p. What is the lowest common multiple of 172 and i?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/820 and -47\/22.\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42455258 to the power of 1\/2, to the nearest integer?\nAnswer: 6516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 3*y + 8, -4*l + 2*y - 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1350913 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/27 + (-61)\/(-9). Suppose -3*z = -p*z + 12. Suppose 3 = -z*d + 4*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 19*g - 100. Determine m(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 21. Let g be k(-12). Suppose 5*p = g*p + 26. Let z = 15 - p. Solve 5*j = 3*j - z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/((sqrt(3)*1 + sqrt(3))*-2))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*j**2*u**2 - 2*j**2*u + 26*j*u**2 - j*u - 4*u wrt j?\nAnswer: 162*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3368?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/12*(-498)\/415*10\/(-8)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let d(m) = 4*m**2 + 3*m + 3 - 1 - 3*m**p. Let s be d(-3). Solve -2*n - 5*r = 15, -r - 11 = s*n - 0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {o: 14, e: 1, r: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 168.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-14)*150\/(-15)*(-6)\/55?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-150)\/24 - -7)*(-12 - 0). Let a be 1 + -9 - 3\/9. Is d greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1151*5\nAnswer: -5755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyoyooooooqyyyyyoo. Give prob of sequence yqo.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -20*z**3 + 15*z**3 - 6*z**2 - 5 + 4*z**3 - z. What is h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*p - 11*p**2 - 40 - 17*p**2 + p**3 - 12 + 11*p**2.\nAnswer: (p - 13)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-461 + 1593 - 632)*(-u**2 + 2*u**2 + 0*u**2) as p*u + k*u**2 + n and give k.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = u + 8. Let l(m) = -m - 4. Let v(w) = -1. Determine u*v(b) - l(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(-11 - 560\/(-42)). What is the nearest to 1\/2 in -4\/9, j, 6, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x - x - 2*x + 4*x as j + z*x and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/(-45) + -1 + (-7)\/(-5). Calculate the remainder when 32 is divided by (4 - (-14)\/(-4))\/(g\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66 + 58?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68425036 to the nearest integer?\nAnswer: 8272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 16191*d + 32093*d - 16179*d)*(-3 + 1 + 0) to q*d + v and give q.\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 29\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634100607?\nAnswer: 3, 7, 353, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 4*x**2 - 5*x + 6. Let v be k(4). Let m = 7 - v. What is the highest common factor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20341061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*n - 115*n + 57268*n**2 - 57274*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, 14\/41, 0?\nAnswer: 14\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381436 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1 + 2 - 2 - 18*i**3. What is the tens digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m - 45*m**2 + 17 - m**3 - 1 + 37*m**2 + 0*m**3. Let o be c(-9). Solve -2*z + o*z - 40 = -5*y, 5*y - 4 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4787 + -b25?\nAnswer: 3a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v**2 - 2*v + 2. Let l be n(-2). Let y be l\/9*54\/(-21). Let p = 7 + -2. Solve 0 = 4*i - 4*w - 16, p*i - 4*w - y - 9 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4278*o = 61894 - 4690 + 17542 + 45038 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0866646743 rounded to 6 dps?\nAnswer: -0.086665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -21. Let c(t) = t**2 + 10*t - 1. Let f be c(d). Which is greater: -2\/49 or f?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let o(z) = 104584*z + 2. What is o(t(h))?\nAnswer: -104584*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3.96 (b) 1\/78 (c) -6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982968987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 220 - 159 + 379.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(252) - (sqrt(252) + -1))*3 + (sqrt(252) - (0 + sqrt(252) + sqrt(252))*6) + -2).\nAnswer: -66*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-12) - (-91)\/(-3). What is the tens digit of 16\/(-4)*x\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 13*k**4\/4 + 9*k + 8. What is the first derivative of d(w) wrt w?\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) -1 (c) -1\/3 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11, -4, 0.1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78771 is divided by 458.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15.95+4659284698\nAnswer: 4659284682.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + ((-275)\/10)\/(-11). Suppose -d*j - 5 = n, j + 2*n = -2*j - 10. Solve -2*z - 10 + 2 = j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223901977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 52, 71, 86?\n\"Answer: -2*o**2 + 29*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3013773463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7)*-3)**2*1 - (4 + sqrt(7) + 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5621304?\nAnswer: 2, 3, 13, 43, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 5:48 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/10 + 51*v**3\/5 + 63*v**2\/2 = 0.\nAnswer: -3, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 4. Let d(h) = h**3 - 5*h**2 - 5*h - 4. Let y be d(6). Suppose 3*r = -3, 3*r - y*r + 7 = 2*a. Let o be m(a). Sort -1, o, 3 in descending order.\nAnswer: o, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 1 u when three letters picked without replacement from rzruszzzsbszzu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.2. Let s = 4.11 - 3.892. Let l = s + 14.782. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 7*k + 6*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u - u + 5*u + 10*u**5 wrt u?\nAnswer: 200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.02169 seconds to microseconds.\nAnswer: 68021690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15119 and -290102908.\nAnswer: -290087789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 29 = 4*p. Suppose -5*s - 20 = -5*q + p, 4*q = -3*s. Solve -11 + q = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(425))**2 - (sqrt(51)\/sqrt(3))**2*-2)*6 - (sqrt(153)\/(sqrt(18)\/sqrt(2) + sqrt(9)) - sqrt(204)\/(sqrt(72)\/sqrt(6))))*5.\nAnswer: 5*sqrt(17)\/2 + 13770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 73*u + 28 = -28*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 959868970 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99 + 99 + 16*w**2 + (-2 + 3 + 1)*(-w**2 - 3*w + 3*w).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**2 - b - 1. Let v be k(-1). Suppose 136 = -v*j - 158. Let w = j + 296\/7. What is the closest to -11 in w, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(2\/5)*y*y)\/(y\/(y\/y**(6\/7))*y) assuming y is positive.\nAnswer: y**(89\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-21)\/(-168))\/((-2)\/(-16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 88\/7 (b) -3 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 2 in decreasing order.\nAnswer: 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -118364, -118358, -118352, -118346, -118340?\n\"Answer: 6*q - 118370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07661 + -7.07661. Suppose 0 = h - 4*h + 6. Let z be (-2)\/h*2\/2. What is the closest to z in 2\/7, 4, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 26 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -148 (b) -2 (c) -1\/4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:51 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuh when three letters picked without replacement from {r: 4, h: 1, p: 2, u: 2, l: 10}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + o = 21, 4*t - 6*t - 2*o + 12 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19620012?\nAnswer: 2, 3, 23, 67, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3710 is divided by 476?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28685 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 70 = 6*m. Calculate the remainder when 47 is divided by 3 + -2 - 63\/m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -2. Let o be 1 + (-1)\/4*7. Which is the biggest value? (a) 2\/13 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3672092117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**20*r*r**(-12)\/r*r)\/((r\/r**(-4))\/r)**(-33\/4) assuming r is positive.\nAnswer: r**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3 - 39*n**2 - 420*n = 0.\nAnswer: -7, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c*c**(-1\/22))\/(c*c*c**(-22)*c))**42 assuming c is positive.\nAnswer: c**(10605\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (3 + 5)) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -4*f, 3*f - g = -2*f + 9. Which is the nearest to 0? (a) -3 (b) 223 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -68 + -3*2\/3. Let p be (-1)\/2 - 135\/b. Factor 10\/7*s + 2\/7*s**5 + p*s**4 + 20\/7*s**2 + 20\/7*s**3 + 2\/7.\nAnswer: 2*(s + 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -88?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 21*l - 25*l - 15*l - l.\nAnswer: -67*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 42. Let p be (3 - 3 - 2) + s. Find the second derivative of -3*w - 350*w**p + 350*w**2 + 13*w**5 wrt w.\nAnswer: 260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-311)\/30*1\/1. Let z = 859 + -2546\/3. Let w = z + l. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143314 (base 6) in base 10?\nAnswer: -13726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1310180 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 147, -12, 35, -261 in increasing order.\nAnswer: -261, -12, -3, 35, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.9 + -24.4. Let t = -16 - z. What is the nearest to -1\/2 in -4, t, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48594 <= -41846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/13)*d**(2\/5)*(d\/d**(-24))\/(d*d**(11\/6)) assuming d is positive.\nAnswer: d**(8771\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4 - 312*c**3 - 1524*c**2 - 2120*c - 906 = 0.\nAnswer: -151, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 5 - 3)*(0 + 3 - 2) + (-3 - 3 + 7)*(-3642 - 9005 + 3909))*(2 - 3*j - 1 + 4*j)*(2 + 1 + 0) as a*j + f and give a.\nAnswer: -26217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47.59698cm?\nAnswer: 475969.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, h: 17}. What is prob of picking 2 b?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - (-1 + sqrt(252))**2)) + (sqrt(7)*2 + -3 - sqrt(7)))*-6.\nAnswer: -1500 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867.9 minus 1976.1574?\nAnswer: -108.2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7 + 2*z**2 - z**3 - 1 - z + 4*z**3 + z**3. Let y(m) = -11*m**3 - 6*m**2 + 3*m - 17. Let x be (16 - -2) + (0 - 1). Calculate x*q(t) + 6*y(t).\nAnswer: 2*t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k + 194 - 35 = 0. Suppose 2 + 6 = 4*v. Factor 6*i + i - 4*i**v - 4*i**k - 5*i + 6*i.\nAnswer: -4*i*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.26, 45 in ascending order.\nAnswer: -0.26, 2\/3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27439 at most 202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/9 - 202*a**2\/9 + 1672*a\/9 - 1472\/9.\nAnswer: 2*(a - 92)*(a - 8)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(114) + sqrt(114))\/sqrt(6))**2*-2.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 0*n + (-3 + 4 - 3)*(4*n - 4*n + n) + 4*n + 3*n - 5*n - 3*n + n + 5*n)*((-2 + 0 - 2)*(9 + 39 + 100) + (-3 - 1 + 3)*(3 + 2 - 3)).\nAnswer: -2376*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5465*c + 3270*c + 2184*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15323*t + 289 = 15340*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) -13\/4 (c) -2\/13 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 2 - (-28 + (8 - -40))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - (2 + (-4 - (8 - 9))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*j**2 + 16 + 0*j**2 - 10 + 297*j - 6.\nAnswer: 2*j**2 + 297*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(56) + (sqrt(280) + sqrt(280)*-3 + sqrt(280))\/sqrt(5)))\/(sqrt(1152)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -121113120111?\nAnswer: 121113120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 741312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 2*p**2 - 7*p + 10. Let q(v) = v**3 - v. Let t(s) = l(s) - 3*q(s). Is t(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6130 = 9*l - 3842. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 - 3*s**5 - 5*s**4 + (s**2 - s + s)*(6*s**3 + 4*s**3 - 11*s**3).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.104983143 - -12.105. What is w rounded to seven dps?\nAnswer: 0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 o, and 1 s when three letters picked without replacement from ozfooeddzzs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2597251 is divided by 1089.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 16. Let g(b) be the third derivative of 0*b + 0 - 80*b**2 + 0*b**3 - 1\/8*b**4. Give q(g(f)).\nAnswer: -3*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 163, 182, 221, 286?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + -112?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -0.2. Suppose 5*q - 3*c - 63 + 64 = 0, 5*c = q - 13. Sort 1, -0.18, q, k in descending order.\nAnswer: 1, -0.18, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*t = -42, 5*x + 414 = -2*t + 478. Let y(n) = n**3 - 7*n**2 + 8*n - 8. Calculate the smallest common multiple of y(7) and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - -1124*(-9)\/4032 and ((-33)\/12)\/(5\/9).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w - w)*(4*w - 2*w - 4*w) - 3*w**2 - 32 + 2*w**2 + 34 - 78*w + 78*w - 4*w**2 + (w**2 - 2*w**2 + 2*w**2)*(-1 + 1 - 2) - 8*w**2 + 2*w**2 + 2*w**2.\nAnswer: -15*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/(-11) - (-6)\/33. Let t be (-14)\/(-6) - (16 - 13). What is the closest to t in -0.3, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 25, -9, 1, 3, 0 in decreasing order.\nAnswer: 25, 10, 3, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1590 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 30114.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b + 1. Let j(a) = 2*a**3 + 3*a - 6. Give j(x) - 3*p(x).\nAnswer: -x**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*q - 18, q - n = n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -b256?\nAnswer: -b258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*r + h + 16, -4*r - h = -24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 + -474?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352962938.\nAnswer: 2, 176481469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1366093583\/1152 + -1185845. What is the common denominator of w and 97\/432?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9124 + -35706. Is b\/(-18) - 2\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9888717?\nAnswer: 3, 883, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 10 = 2*i. Suppose -4*d + 1 = -3, 3*l + 2*d = i. Let j = l - -17. Calculate the highest common divisor of 85 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2716 and 4753.\nAnswer: 19012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21929\/7 - (-22)\/77. Suppose 5*a - d = -3*z, 0 = 5*a - 6*z + 3*z - 3157. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 - 8 = -m, m - 5*r = -2. Let y = -169 + m. What is the units digit of (-5359)\/y + (-1 - 5\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 68*z - 970. Let m be g(-58). Is -390 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164439471 to the power of 1\/2, to the nearest integer?\nAnswer: 12823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 - 3. Let i(p) be the second derivative of -26*p**4\/3 - 20*p**2 + 823*p. Give 3*i(g) - 40*k(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 20 (b) 7 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69194243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/13 + 1\/26. Which is smaller: p or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -23, 25, 5, 1023 in ascending order.\nAnswer: -23, -6, 5, 25, 1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11087136 divided by 40464\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -210, -707, -1674, -3267?\n\"Answer: -26*u**3 - u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 151535901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 101*m + 13188. Calculate j(-130).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**3*g**3 + 34107*c**3*g - c**2*g**3 + 231*c**2*g**2 + c**2 - 3571*c*g**3 wrt c.\nAnswer: 30*g**3 + 204642*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1573) - (sqrt(1573) - (sqrt(1573)*1 - sqrt(1573)) - sqrt(1573)))**2.\nAnswer: 7865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8836532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 7*g**2 - 13*g - 2. Let m be c(-9). Let y = 40 + m. Let s = -13 + 8. Sort -3, y, s.\nAnswer: y, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - v + 19 - 51 + v**2 in the form m*v**2 + i + z*v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 154\/(-220) + 1\/5. Let i = 44 - 43.986. Let u = 2.014 - i. What is the closest to g in u, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + t - t)*(-58*t + 7*t - 11*t) to a*t**2 + h + l*t + y*t**3 and give y.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1353423 - -5?\nAnswer: 1353432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (0 - 0 - 2). Suppose -3*s + p = 2*s + 5, -v = 4*s - 4*p. Is s >= -14\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)*b)\/(b**(1\/7)\/b) assuming b is positive.\nAnswer: b**(73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 3*v**2 - 2*v + 6. Let c(d) = 2*d**3 + d**2 - d. Let i(a) = -b(a) + 2*c(a). Calculate i(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 40. Let m be (-30)\/4 - 1\/t. Let w(u) = -2*u + 13. List the prime factors of w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -18, -4, -114, 6, -571 in decreasing order.\nAnswer: 6, -2, -4, -18, -114, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 25*u - 12. Let m be q(6). Calculate the common denominator of 229\/35 - (-2)\/(-5) and m\/(-28) + 4 + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.22383576.\nAnswer: -0.067150728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 5*j + 100*q - 118*q, j - 4*q = -7 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*x + d, -441358*d = 52*x - 441356*d + 190 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/16 - (-38)\/16. Find the second derivative of 216*v - 22632 + 22632 + 5*v**4 + 7*v**x wrt v.\nAnswer: 60*v**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 19*u - 2*u - 11*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -24. Is 2\/3 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -9 (c) 1\/2 (d) -5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 25, 23, 21, 19, 17?\n\"Answer: -2*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139217341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (8848 - 12135 - 1545 - 40277 + 12229 - 47958)*(2*i**2 - 2*i**2 - i**4) in the form f*i**2 + w*i**4 + r*i**3 + c*i + t and give w.\nAnswer: 80838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23850 and 12?\nAnswer: 47700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:36 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -314 + -248?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.1, 229\/6, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24224 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 f when three letters picked without replacement from {f: 7, r: 5, c: 2, l: 3}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:49 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(1\/19)*d)\/d)\/(d*d**(-1\/8))*((d\/d**9*d)\/d)\/(d\/((d**(-5\/7)*d)\/d*d)) assuming d is positive.\nAnswer: d**(-8019\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5997 is divided by 498?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -419 divided by -120814\nAnswer: 419\/120814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175107629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*x - 5*m, -5*m + 1 - 16 = 3*x. Let g(h) = -20*h - 63. What are the prime factors of g(x)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:44 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1395*a + 925*a - 2991*a + 91*a**3.\nAnswer: 91*a**3 - 671*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062584 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*g + 10, 4*g = -5*d - 5. Let c(y) = y + 12. Let b be c(d). Let o(u) = -u**3 + 7*u**2 + u + 3. What are the prime factors of o(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (2 + sqrt(128))**2.\nAnswer: 32*sqrt(2) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14848971 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73830?\nAnswer: 2, 3, 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/143653866 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -0.12, -1\/5.\nAnswer: -1\/5, -0.12, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10432 + 444121?\nAnswer: 433134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 987533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*g - 74*g + 20*g + 1136 = -2*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -120.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4753, -5, 1816 in ascending order.\nAnswer: -5, 1816, 4753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let b = -2 + o. Are 0.5 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -1\/2*m**2 + 1 - 1\/3*m**3 - 3*m. Let b(p) be the first derivative of q(p). Determine b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4176? (a) -0.1 (b) -3\/5 (c) -13 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 24 + 14. Let a be (2 - -1)\/((-6)\/(-76)). Calculate the greatest common factor of a and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.266526 to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-8)\/(-6))\/(-1)*9. What is the tens digit of (-7 + 195 + i)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85786 is divided by 91?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 67400 and 44.\nAnswer: 67444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 802.1011 centimeters?\nAnswer: 0.008021011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -832267?\nAnswer: -832270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/36 + 29\/9. Suppose 32 = s*d + 2. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -836947 or -836949?\nAnswer: -836949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -13.17 (b) -1\/11 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 5*f - 15. Which is bigger: f or -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10152829410 divided by 5.\nAnswer: 2030565882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/9, 5, 0.1, -23214, 4\/33, -0.09, 1\/2?\nAnswer: -23214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*s**3*t**4 + 4*s**3*t**2 - 5*s**3*t + 1058*s**3 - 2*s*t**4 - 30*t**4 - 1 wrt t?\nAnswer: 240*s**3*t - 48*s*t - 720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329690 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1244?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*n*s - i**2 - i*n*s - 43*i*n + 34567*i*s - 2*n wrt n.\nAnswer: -i**2*s - i*s - 43*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 3*h**2 - 2*h**2 - 3 + 0. Let v(d) = d**2. Calculate v(b(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvk when three letters picked without replacement from {u: 3, k: 3, v: 9, g: 5}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1870\/5280 + 1 + 0 and 1\/(-21)*(-23)\/1.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-16) - (-96)\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 45*w**2 - 2*w - 2. Let u = 1 - 1. Suppose u = 4*y + z - 15, -4*z = -z - 9. Is q(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/18 + 5*o**4\/8 - o**3\/2 - 20*o. Let l(m) be the second derivative of p(m). Differentiate l(r) wrt r.\nAnswer: 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -677.6 to the nearest 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/5 + 1872*j + 2190240 = 0.\nAnswer: -2340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*(-4)\/20)\/((-3)\/15). Let u(h) = -p - 2*h - 4*h + h + 17*h. Give u(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25739.4 - 25739. What is the nearest to 0.3 in -2, -0.1, -4\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 4 + (-6 - (40 + -19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 335.8 (c) -5\/4 (d) -5 (e) -1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(209) + 1*sqrt(209)) + sqrt(209) - 1*sqrt(209)*1)\/((-3*sqrt(66))\/sqrt(6)*-4)*3.\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -13*h**2. Let b(w) = -365*w**2. Give -6*b(t) + 170*f(t).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.44, -1\/17, 4, -3, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*37654.\nAnswer: 188270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*z**2 + 68*z**2 - 159*z**2 - 1169*z**3 to the form y*z**2 + p*z + d*z**3 + v and give d.\nAnswer: -1169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*h + 17840*h**2 - 17841*h**2 + 217*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 0.0306.\nAnswer: -0.002142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -28*q**2 + 32*q + 68. Let s(g) = -9*g**2 + 11*g + 23. Let o(v) = -3*h(v) + 8*s(v). Find z, given that o(z) = 0.\nAnswer: -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - 2\/5. Suppose 2*z + 2*z = 0. Suppose 6 = -z*t + 3*t. Solve -t*h = -g*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**5\/5 + 89*f**4 + 38*f**3 - 773. What is the third derivative of u(m) wrt m?\nAnswer: 24*m + 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 35888 and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let g(t) = t**3 + t**2 - 2*t - 2. Calculate the remainder when g(x) is divided by -5*(5 - 56\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -18*a - 6. Let m be z(-2). Let n be (-3 - (-29)\/(-2))*2. Let t = n + 55. Calculate the greatest common divisor of t and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54632 is divided by 108.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/59, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173583, -694433, -1562515, -2777829?\nAnswer: -4340375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1024358?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v - 75. Let j be w(16). Let o = 9\/5 - -39\/20. Does o = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 3*u - 3*u + (0 + 1 - 3)*(-5 + 9*u + 5) to the form l + y*u and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 837*x**2 - 87*x - 14. Let w(l) = 420*l**2 - 43*l - 6. Let i(r) = -4*f(r) + 9*w(r). Find the second derivative of i(j) wrt j.\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 7. Suppose 0 = 3*x + 3*p + 87, -3*x - 2*p = 2*p + 88. Let y = 20 + x. Let g be z(y). Which is the nearest to g? (a) -2 (b) -6\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -105, -138, -197, -288, -417?\n\"Answer: -c**3 - 4*c**2 + 6*c - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/((a**(-20)\/a)\/a)*a*a)\/a*a*a*a*a*a*a**(2\/7)*a*a)\/((a\/((a*(a*(a*a**(-8)*a)\/a)\/a)\/a*a))\/a**(1\/7)))**(-10\/13) assuming a is positive.\nAnswer: a**(-1850\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:54 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 2\/5 (c) -7\/12 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3)*-5 + 3 + sqrt(304).\nAnswer: -sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*p = -34*p + 157*p - 29184 for p.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80257484, -80257474, -80257464, -80257454, -80257444?\n\"Answer: 10*c - 80257494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 12*f = 298. Is f 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 qhzqzqqqqqhqqqq. What is prob of picking 3 q?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 42\/11, 0.4, -2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*i + 1212, -2*i - 3*t + 488 = -t. Calculate the remainder when i is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2 + 6 = -2*h, 4*h + 2*x + 22 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 9)*(2 + 3*l - 2) in the form i*l + w and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -95a (base 11) to base 15\nAnswer: -51e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from eewwfpewfz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/150*5\/(-18)*64. Is 10\/47 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4198*z**4 - 311*z**3 - 3*z**2 - z - 1137.\nAnswer: 100752*z - 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.2, 1, -0.5.\nAnswer: -0.5, -0.2, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 24*n + 4*n + 5*n + 5*n + 8*n.\nAnswer: -2*n + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 10. Let x be z(-7). Let y(a) = -a + 12. Let l be y(10). Let j = l + x. Solve 3*t - 2*t = -j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2 + 740*c + 1 - 760*c. Let v be (1\/(-2))\/((-3)\/(-12)). Calculate the remainder when s(v) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 332691927*n**4 + 314557881*n**2.\nAnswer: 7984606248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*c**2 - 6*c**2 - 4*c**2 to the form d + n*c + x*c**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4730 divided by 3\nAnswer: -4730\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5 = 13. Suppose 0 = 5*k + 14 + f. Put k, -3, 0 in decreasing order.\nAnswer: 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 274. What is the least common multiple of 12 and y?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.2 (b) -1 (c) 5\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678 - 224 - 231 + 4*g**3 - 223.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.006233 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3469, -4, -2, 1, -7, -5, -11 in ascending order.\nAnswer: -11, -7, -5, -4, -2, 1, 3469","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 975 - 113. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.586 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*((-1 - 1 + 3)*(0 + 0 + 1) - 4 + 3 + 3)*(4*o - o - 12*o) + 6*o + 0*o - 7*o - 8 as u*o + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 10*n - 198. Let u(p) = 2*p - 2. Determine -6*u(v) + w(v).\nAnswer: -2*v**2 - 2*v - 186","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -13846?\nAnswer: -13851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**8\/2800 + h**6\/200 + h**5\/100 + 5*h**3\/3 - 2. Let v(y) be the third derivative of j(y). Factor v(o).\nAnswer: -3*o*(o - 2)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3817638 - 0?\nAnswer: -3817638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13150 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: Find the second derivative of -114*h**5 - 481*h + 140*h - 3*h**4 + 277 - 29*h**5 - 277 wrt h.\nAnswer: -2860*h**3 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/34 and (-6)\/(-4) - 59*(-6)\/(-48).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 4827.\nAnswer: 1448.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 6*o**2 + 5*o - 29. Let p be q(6). Suppose 0 = 2*z, 0*z + p = y + 3*z. Let w(j) = j - 2. Determine w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*s + 1 - 1)*(4 - 13 + 2) + 3*s - 4*s + 3*s)*(-3 + 1 + 0) to f*s + y and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296 and 26?\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w - 3 = -102. Solve -5*f + 5*c = 20, -5*c - 1 + w = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5*r - 85*f**5 + f**4 - 157*f**2*r wrt f.\nAnswer: -60*f**2*r - 5100*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (8 - (-1 + 3) - 6) + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34458, -34455, -34452, -34449, -34446, -34443?\n\"Answer: 3*w - 34461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*(42 - 82)*2. Solve m + 4*g + 8 = -7, -4*g = -4*m + b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/298075*8878461946\/(-4). Let r = x - -1\/298075. Let b = -119051\/16 + r. Find the common denominator of b and 43\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 29 - 1 - -10 - (1 + -42)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-five halves of a micrometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 2, d: 2, p: 1}. Give prob of sequence qqi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 855957*g**3*r**2 + 6*g**2*r**2 + 2*g**2*r + 2*g**2 - 209*r**2 + 11*r wrt g.\nAnswer: 5135742*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 33, -1\/17, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3*4\/84)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 10, 24, 38, 52, 66?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40605, 159779, 358403, 636477, 994001, 1430975?\nAnswer: 1947399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (517\/(191290\/444))\/((207\/20)\/(-3))?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3355 = 3*w, 3*w - 4*r = 1372 + 1968. Suppose -7*c + 12*c = w. What is the remainder when c is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by 4.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17318 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325 + -303. Calculate the remainder when 28 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2600)*-2)\/(-5*sqrt(18)) + -1 + (4*-2*sqrt(13)*-5 - (((-1 + sqrt(13))*-1)**2 + (sqrt(208)*2 - sqrt(208)))).\nAnswer: -15 + 118*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(1\/14))\/((780\/624)\/(50\/(-8))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1992)\/330 - -6) + (-188)\/18095*409.\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4 - 642*u**2 - 4840*u - 4200 = 0.\nAnswer: -10, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 12:40 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5213141 years to centuries.\nAnswer: 0.005213141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1568.6 - -1569. Which is the second smallest value? (a) -34 (b) 5 (c) p (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -1 (c) -2 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 20*b - 93 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4 + (-9)\/(-6). Suppose -1550 = -8*a + d*a. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-169 - (-36 + -115))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -23736?\nAnswer: 3\/7912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 - 1 + 10*u - 16*u + 2*u**2 - 2*u**4 + 4*u + 2*u**3 to the form a*u**3 + f*u**2 + m*u**4 + l + o*u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, p: 2}. What is prob of sequence ps?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f\/f**0)*f*f*f\/(f**(-2\/31)*f)*(f**(-1\/4)\/f)**41 assuming f is positive.\nAnswer: f**(-5975\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -23*n**6\/24 + 133*n**4\/12 - 168*n**2. Find the second derivative of c(t) wrt t.\nAnswer: -690*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*j + 2*n - 148, 5*n + 43 = j. What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/10 + 3 - 6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, q: 4, l: 3, i: 2, g: 3, y: 4}. What is prob of sequence gqlg?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bc4c (base 14) to base 2.\nAnswer: 100100000110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - (-2 - -6)) + 233 + -292?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a hour in milliseconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 145089479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2*1 + 1. Let l(d) = 2*d**2 - 3*d**2 - 4 - 2*d + 2 + 1 - 11*d**3. Let w be l(-1). Calculate the greatest common divisor of f and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28818935 is divided by 606.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5686 + -4?\nAnswer: -5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.41 - 0.09. Let v be -20*1\/((-5)\/2). Suppose -d = 3*a + 5, 3*d - 11 = a + v*d. What is the nearest to a in 1\/7, 2\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/4 - 2*a**3 + 9*a**2\/2 - 2*a. Determine h, given that n(h) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.8 and -164?\nAnswer: 163.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 402 - 138. Let n = -125 + w. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139030, -278063, -417096, -556129, -695162?\nAnswer: -834195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3424067, -3423697, -3423081, -3422219, -3421111?\nAnswer: -3419757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51363 - 1113?\nAnswer: -52476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311543 is divided by 9735?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcddddddcddddddddcd. What is prob of sequence cdcc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004396 to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/68)\/(3\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 8 - 3*a**3 + 33*a**4 + 6 - 27*a**4 + 4*a**2 + 2*a**3 as r*a**2 + q*a + i*a**3 + c + t*a**4 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-30)*-3*10. Let w = z - -12. What is the tens digit of 3 + (12\/w - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*b + 11*b + 20*b)*(4 + 2 + 4) + (-6*b + 3*b + b)*(1 + 0 + 2) as v*b + z and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11762285 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18877, 37767, 56657, 75547?\nAnswer: 94437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(5) - sqrt(21) - sqrt(21))*-5)\/(sqrt(3) - -3*sqrt(3)*-5).\nAnswer: -5*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:53 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/5 + 149*r**4\/5 - 2108*r**3\/5 - 12*r**2 + 42768*r\/5 = 0. What is r?\nAnswer: -162, -4, 0, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*g + 5*g + 44, 3*g + 81 = -2*x. Let m = x - -47. Suppose 127 = m*f - 121. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-93051)\/926310 + (-1)\/(-10). Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/(12\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11, 0.5, -3, -5709?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:32 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + (-4*1*sqrt(153))**2 - ((sqrt(153) + sqrt(153) + -1)*3 + 4)**2))*-6*-5.\nAnswer: -91920 - 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:46 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -208.6 and 0.07.\nAnswer: -14.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**3 - 25*v**2 + 23*v + 31. Let p(j) = 7*j**3 - 24*j**2 + 20*j + 31. Determine 6*a(y) - 7*p(y).\nAnswer: -y**3 + 18*y**2 - 2*y - 31","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1469309 divided by 23\nAnswer: -63883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 6*x - 1457 + 1448 + 3*x. Calculate f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 + -126. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 30*m + 486. Determine q(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2945483.\nAnswer: 2945483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -28*t + 25. Let b(u) = -66*u + 62. Give -5*b(z) + 12*g(z).\nAnswer: -6*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/17)\/g**(5\/7) assuming g is positive.\nAnswer: g**(-92\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 + 110736063*d\/4 + 12262475648739969\/8.\nAnswer: (d + 110736063)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 5*z - 1. Let i(w) = 2*w**2 + 6*w - 1. Determine -2*i(j) + 3*u(j).\nAnswer: 2*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*c - c - 264, -5*c - 3*r - 332 = 0. Let h = -56 - c. What is the derivative of -2 + 21*l - h*l + 19 + 8*l wrt l?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/9 of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12522 by -169.\nAnswer: 12522\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {g: 7, i: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*h**3 - 46*h**3 - 48*h**3 + 3 - 3*h**3 - 3 + (0*h + h + h)*(0*h**2 - h**2 + 0*h**2) - 2*h + 2*h - h**3.\nAnswer: -151*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 3, 3\/767, -1654?\nAnswer: 3\/767","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38887\/13 - -2986. Let y = f + 1087\/195. Is -1 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*o - 7 = 0, -3*g - 2 + 17 = -3*o. Suppose -5007 = -g*t - 987. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**2. Let n(r) be the second derivative of -63*r + 1\/2*r**3 + 0*r**2 + 0. Calculate l(n(y)).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*o + 28. Let f(n) = n**3 - 8*n**2 - 8*n - 9. Let k be f(o). Is (-2 - (k + -1)) + 54 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2))**(-18\/5))**(7\/5) assuming n is positive.\nAnswer: n**(126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 - -1506?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/15)\/((-10)\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.02 - 0.02. Let r = 37 + -34. Which is the second smallest value? (a) r (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2 - 6\/2. Suppose p - 7 = -0*p + s, s - 8 = -4*p. Suppose p*m + 2 = 2*m. Put -2\/11, m, x in increasing order.\nAnswer: x, m, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15707834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-11232)*-78)\/((-1)\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-594))\/((-203)\/4785*15).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:21 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 3*b - 2*d + 46, 4*b - 44 = -4*d. Suppose -3*n = -0*n - 9, -m + 3*n = -b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17)\/(-5) - 4)*-10. Suppose v = -m*v + 126. Calculate the lowest common multiple of 20 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 2:25 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 238, 97, -44, -185?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 312 (c) -13\/19 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 - 56*h**2 - 13*h + 87. Let z(p) = 7*p**3 - 75*p**2 - 18*p + 116. Let f(v) = 11*a(v) - 8*z(v). Give f(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - o - 5, 0 = -4*o. Suppose -g = -6*g + v. Suppose 365*y + 5 = 360*y. What is the closest to y in 0.4, g, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a. Let z = 32519.3 - 32519.1. What is the third smallest value in a, z, -52, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*v + 68 - 2*v - 29*v)*(-3 + 1 + 4 + (2 - 4 + 0)*(-1 + 2 - 3)).\nAnswer: -6*v + 408","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/5)\/(y\/(y**(2\/3)*y))*(y**0)**43)\/(y**3\/y**(-2\/5)*y**(-1\/7)*y*y**(5\/4)) assuming y is positive.\nAnswer: y**(-2537\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 26, 24, 4, -40, -114?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0.3, -12, -1\/4 in decreasing order.\nAnswer: 39, 0.3, -1\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 142619, 570383, 1283323, 2281439?\n\"Answer: 142588*q**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27214348 divided by 476.\nAnswer: 57173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**5 - 3 + 3)*(1 - 8 - 3 + (-6 + 0 + 3)*(3 - 5 + 4) + 4 - 4 + 1).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 (base 7) in base 2?\nAnswer: 100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108756047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 121.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*r + 14 = 0, -3*h - 2*h - 40 = 5*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -177954382 rounded to the nearest 10000?\nAnswer: -177950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072 divided by 121?\nAnswer: 1072\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 = 19. Suppose 2*h - 17 = -u. Suppose -x = 3*w - 8, 13 + 7 = -3*x + h*w. Let i(j) = 6*j**3 - j**2 + 2. Let p(n) = n**3 + 1. Give x*p(v) + i(v).\nAnswer: 2*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 1:31 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04466363322833 minus 93?\nAnswer: -93.04466363322833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47560 > 47562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 - -204. Let a = q - 103. Let b(r) = 10*r**2 + 2*r - 1. Give b(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v + 4. Suppose -10367 = 15*l - 4127. Let t = l + 432. What is the smallest common multiple of o(-4) and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1332 = 4*b + 180. Calculate the highest common factor of b and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2 - 22*i - 347. Let f be m(17). What is the highest common factor of 47 and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t - 18*t + 79*t = 37202. Solve 0 = -t*j + 1697*j - 48 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 - 2*x - 2. Let n(c) = -c + 2. Let q be n(-7). Suppose -11 = q*h + 16. Is 40 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z**2 + 99*z - 320 wrt z.\nAnswer: -6*z + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -2*z**6\/45 + z**5\/5 + 25*z**4\/9 + 14*z**3\/3 - 535*z. Factor b(a).\nAnswer: -4*a*(a - 7)*(a + 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46494 and 2631?\nAnswer: 40775238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*m**2 - 125*m**2 - 247*m**2 - 44 - 114*m**2 - 28 wrt m?\nAnswer: -1024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*x + 1. Suppose 3*p + 5*k - 500 = 0, -x*k = -k + 15. Suppose 2*z = -5*n + 141, -5*z - 5*n + 140 = -p. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -24, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -33*a**3 + a**2 + 4*a - 11. Let g(j) = -65*j**3 + j**2 + 7*j - 19. Calculate -4*g(t) + 7*n(t).\nAnswer: 29*t**3 + 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88928579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*o + 41, -2*o - 55*n + 59*n - 32 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 18. Let l be 2\/(-11) - 11612\/y. Find the common denominator of 2 + -1 + l\/64 and 29\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0, 0.3, -1, 4, -2062\/21, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 499881.6l?\nAnswer: 499881600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 2*h**3\/3 + 421*h**2 - 4260*h - 8643. Find l such that x(l) = 0.\nAnswer: -426, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3829.\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x\/(x*x*x\/(x**(3\/5)*x)*x))\/x)\/x*x**(3\/7))**24 assuming x is positive.\nAnswer: x**(-816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Suppose m = -4*u + u + 18. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-538)\/4 + (-1)\/2. Find the common denominator of (-1 - 18\/(-14))\/(2\/27) and b\/35*(-5)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 - 7*h**2 + 11*h**2 in the form d*h**2 + i*h + y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + r**2 + 19 + (224*r + 338 - 338)*(-2*r + 0*r + 0*r) + 1 + r**2 - 1.\nAnswer: -446*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*b = -8667, 2*i - 8660 = -3*i - 5*b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2. Suppose -2*s + 4 = -i + 7, -5 = s - i. Let u(z) be the first derivative of -29 + 0*z + 7\/2*z**s. Determine u(w(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 744 + 530. Suppose -1273*g = -h*g + 1173. What are the prime factors of g?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 - (-33)\/(-7). Let x(d) = -d**3 - 4*d**2 + 4*d - 1. Let n be x(h). Let b be (-4)\/6*-6 + -2. Solve v + n = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 31*q**2 + 2*q - 61. Let i be b(31). Which is smaller: i or -4\/883?\nAnswer: -4\/883","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 7:27 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10121 (base 4) in base 3?\nAnswer: -101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4 - 159*d**3 + 29939*d**2 + 92751*d - 303970 = 0.\nAnswer: -269, -5, 2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -478, 8, -78, 51 in increasing order.\nAnswer: -478, -78, 8, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -556815 divided by -1?\nAnswer: 556815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 122212021211 (base 3) in base 6?\nAnswer: 11311421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3272\/41, 0.012, -2?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajaaxrajaj. Give prob of picking 3 j.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -254? (a) 5 (b) -1291\/3 (c) 0.3 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 196.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1610*l + 0 + 1982*l.\nAnswer: 3592*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + ((sqrt(891) + -1 + sqrt(891) - sqrt(891))**2 + sqrt(891) - sqrt(891)) - sqrt(77)\/(6*(sqrt(567) + sqrt(7) + sqrt(7) + sqrt(7)))).\nAnswer: -1297*sqrt(11)\/72 + 885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229033 is divided by 749?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*a**2 - 1273*a**2 + 422*a**2 + 423*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and -19.618.\nAnswer: 33.3506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 5*u - 5*l, 4*u - 12 = -3*l. Let q be (-36)\/8*(-8)\/u. Suppose 0 = -4*n + q - 4. Solve -2*j - j = 4*m + 4, -4*j + n = -2*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -5*r + 4*v, -9 = -r + v - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/3040 and 87\/380.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-16 + 6) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*c + 65 = -2*n, 0 = 214*n - 211*n + 10*c - 125 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 633578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12704271*q + 14914615 wrt q?\nAnswer: -12704271","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 10*x - 87 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + t**3 + t**3 + (0*t + t**2 + 0*t)*(1255 + 2*t - 118 + 269).\nAnswer: 3*t**3 + 1406*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 11 - 541*v + 541*v as n*v**2 + i*v + c and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1340613396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 48 + 30. Suppose -x = -3*b - 2*w, 3*b - 9 + 0 = -3*w. Solve b = 2*u, 5*u - 13 + 5 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4191 and 17424.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 762, -4, 5, 35, -2, -26 in ascending order.\nAnswer: -26, -4, -2, 5, 35, 762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4 - 7624*j**3*y**3 + 72428*y**3 wrt j.\nAnswer: 4*j**3 - 22872*j**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2106, 17048, 57640, 136710, 267086, 461596, 733068?\n\"Answer: 2138*g**3 - 3*g**2 - 15*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/3, -2\/103, 1\/2, 6 in descending order.\nAnswer: 6, 1\/2, -2\/103, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37536 and 11868.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 103, 102, 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-23)*x*x*x**(-4\/9)*((x\/((x*x*(x*x**(6\/11))\/x)\/x))\/x*x)\/x*x**23\/x)**47 assuming x is positive.\nAnswer: x**(-4606\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 867245, 9, 2\/13 in decreasing order.\nAnswer: 867245, 9, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022102121222 (base 3) to base 7.\nAnswer: -25323233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 g when three letters picked without replacement from czjgi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292 + 203. Let g = 34 - j. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69158 is divided by 187.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 288*k + 680. Calculate r(143).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -696*r + 696*r - r**2 as x*r**2 + k*r + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4663 or 825575\/177?\nAnswer: 4663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 12. Which is the biggest value? (a) 2\/7 (b) -0.01 (c) -3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-2)*30\/35. Solve -24 + 6 = -j*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 3*f**2 + 3*f - 2. Let y be m(2). Suppose -j = -3*b - 107, y*j - 2*j + 234 = 4*b. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014486 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -304*m**2 + 10943*m + 37. Calculate i(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 3 + 13 - 2)*(17*v - 49*v + 114*v).\nAnswer: 3280*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p - 2. Let u be g(3). What is the common denominator of -23\/12 and 2\/(-5) + (-194)\/u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = 5*b - 1, 2*d + 4*b + 4 = 0. Let g be (d - 0)\/(0 + -2). Let m(i) = i**2 + 0*i**2 + g*i**2 - 2 + 3*i + i. Determine m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 10*d - 28. Calculate x(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832))**2 + sqrt(52))*5 - (sqrt(52) - (sqrt(208)\/sqrt(4))**2)*6.\nAnswer: -2*sqrt(13) + 4472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/7))\/q**(1\/4)*(q*q\/(q**2\/q)*q)**(1\/6))**(-30) assuming q is positive.\nAnswer: q**(-395\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -31\/11, 0.3, 0.0028, 3 in descending order.\nAnswer: 3, 0.3, 0.0028, -31\/11, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.389 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*x + x + 523, -269 = -q - 5*x. Suppose 13*f = 7*f + q. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.227 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:43 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 + -176. Suppose -m*t + 5*t = -495. What are the prime factors of t?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*q**3 + 0 + (-4*q**2 + q**2 - q**2)*(39*q + 18*q - 40*q).\nAnswer: -66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-18)\/(-21) - 4) + (-13)\/(546\/(-48)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7*k - 328 = 3*k, 2*k = 5*v - 389. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 + 2.5. What is the biggest value in 0.2, 1\/3, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 586158 and 33?\nAnswer: 6447738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12700 and 508?\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 295 = 5*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126.4 - -126. Which is the closest to -1? (a) 5 (b) i (c) 2\/47 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, 4, 229, -974 in descending order.\nAnswer: 229, 4, 2, -3, -5, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drlppdd. Give prob of sequence pp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 224 + d?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -78, 5, -5, 1\/8?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3465*f + 3465*f + 544*f**2 - 6930*f.\nAnswer: 544*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3880*c**2 + 15500*c - 9. Determine z(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26197019.\nAnswer: 43, 609233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*l + 21 = 0, 5*i = 2*l + l + 29. Which is the second biggest value? (a) -73 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -10. Suppose -s = -q*s + w + 9, 2*s - 2 = -2*w. Suppose -f + 96 = s. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*h**4 - 4\/7*h**3 - 2\/7*h**2 + 4\/7*h.\nAnswer: 2*h*(h - 2)*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**29*n**(1\/20))\/((n*n**27)\/n**(-6\/11)) assuming n is positive.\nAnswer: n**(111\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 42*d**3 + 2*d**2 - 7*d + 5. Give k(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345341676.\nAnswer: 2, 3, 131, 219683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 2 (c) 0 (d) 34 (e) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1613, -3227, -4849, -6479, -8117, -9763, -11417?\n\"Answer: -4*l**2 - 1602*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j - 4*a = 26, -3*j = -5*a - 31. Let u be (-16*1)\/(j\/(-6)). Suppose -3*i + 45 = -u. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/5 or 1800?\nAnswer: 1800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 - 0?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 14*z - 12*z + 59, 0 = -3*i + 4*z + 41 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.85 + 46. Let m = h - 2.18. Let n = m - -1.0662. What is n rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -993*p**2. Let c(x) = -13*x. Calculate m(c(l)).\nAnswer: -167817*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 816870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 20250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.8 + -10. Let u = -5 + 9. Sort 2\/11, p, u in decreasing order.\nAnswer: u, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16936, -57918, -122950, -212032, -325164, -462346?\n\"Answer: -12025*i**2 - 4907*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106184431 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 117*d - 19. Is l(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 751*s. Let y(x) = -10*x. What is c(y(w))?\nAnswer: -7510*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 128. What is the tens digit of (-1)\/(h\/8) + (116 - -48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3094998079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/6 + x**3\/6 + 3*x**2. Let t be a(-1). Sort 4, -4\/5, t in increasing order.\nAnswer: -4\/5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-18) - 1 - 357880\/(-828))*34. Calculate the greatest common divisor of j and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 12}. Give prob of sequence aao.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -451\/6 - -75. Let p be (-1886)\/(-736) - (-13)\/(-208). What is the closest to 0 in 0.5, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23014154 (base 7) to base 14.\nAnswer: 3a23d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*(sqrt(363) + 2)**2 - (-2 + sqrt(363) + -1)**2) + (sqrt(363) + 0 + 3 + sqrt(363))**2*-1).\nAnswer: -2932 - 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 43 + 11 + 12 - 247*o to the form z*o + r and give z.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 8\/7 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-6 - 3)) + (-15 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {i: 2, f: 3, h: 13}.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:59 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814002.\nAnswer: 2, 3, 7, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168*l**3 - 753 + 4*l**4 + 10744*l - 10744*l - 10*l**4 with respect to l.\nAnswer: -24*l**3 - 504*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 112 = -5*l, -6*l + 4*l + 49 = 3*m. Calculate the remainder when 88 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4 + 81004*h**3 - 567087*h**2 - 810094*h + 1296176 = 0.\nAnswer: -81011, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (363\/(-4) - 0)*(-4912)\/(-921). Are i and -479 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*p**6 + 9*p**5 + 173*p**2 - 15*p**5 - 28*p**6 + 6*p**5 wrt p.\nAnswer: -5160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 y when three letters picked without replacement from {y: 4, i: 1, s: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbaaabbbbbbbbbbb. What is prob of picking 4 b?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749424 divided by 6?\nAnswer: 874712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.979591 to two dps.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5096*u - 4*p = -5100*u - 56, -2*p + 28 = -53*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 4) to base 7\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/8 + 38\/152. Suppose 18 + 7 = 5*c. Let w(g) = -6*g + 4. Let v be w(c). Sort l, v, 5, 2\/3.\nAnswer: v, l, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*z + 25, -2*k - 3*z - z - 6 = 0. Solve 11 = -4*s - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*b - 9*b**2 + 46*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 117. What is the derivative of 3*u**2 + 7*u**2 - a - 3*u**2 + 26*u - 8*u**2 wrt u?\nAnswer: -2*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 6:07 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) 3 (c) -3\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4743767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 2*z = -12, 125*u - 123*u + 2*z + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357 + 2942.8957?\nAnswer: 4299.8957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -71, 3, -2\/7, 19.02, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 690*s - 177. Is x(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -24*l. Suppose -10 = 5*i - 7*f + 4*f, -4*i = -5*f + 21. Let r be t(i). Let c = r - -57. What is the highest common divisor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**19)\/((s\/((s\/(s*s**(2\/65))*s)\/s))\/s) assuming s is positive.\nAnswer: s**(1298\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37661 + 77760. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10773 and 854091?\nAnswer: 48683187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.32273ml in litres?\nAnswer: 0.01032273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/5 - -13\/15. Let d = -91.7 + 92. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/33, 3\/8, -4\/5, 78, 0.11, 0 in ascending order.\nAnswer: -4\/5, -1\/33, 0, 0.11, 3\/8, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 42. Which is the second smallest value? (a) 5 (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -87. Suppose -k = -2*s - 0*s - 2*a, -5*a = -4*s + 72. Let t be 4\/(-8)*(-8)\/s. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*o - 2*o**4 + 46*o + (5*o + 8*o - 8*o)*(2*o - 2*o + o**3).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + ((-3)\/(-18) - (-50)\/(-12)). Sort z, 1\/3, -5, -2.\nAnswer: -5, -2, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + i + 8, -5*z + i = 12884 - 12838 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 5631824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 264 + 9*t**2 - 9*t**2 - 298*t**4 + 19 wrt t.\nAnswer: -1192*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 324.\nAnswer: -1\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 16 - 3 = 59 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**3 - 2*y**2 + 28*y + 681. Is r(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11455515 is divided by 29223?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/2 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -200010, -4\/5 in ascending order.\nAnswer: -200010, -4\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-7 - (19 + -31)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61250759 to the power of 1\/2, to the nearest integer?\nAnswer: 7826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**2 + 5 - 3*r + 7*r**2 + 2*r + (5*r**2 - 3*r**2 - 4*r**2)*(1 - 1 + 3) - 2*r**2 - 5*r**2 + 5*r**2.\nAnswer: -9*r**2 - r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1.22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**2 + 0*s**4 - 8*s**4 - 19*s**2 - 14*s**4 wrt s?\nAnswer: -528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -23)\/(21\/(-2)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585 and 22095.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -85*u + 2. Let p(g) = -85*g + 3. What is -5*i(z) + 4*p(z)?\nAnswer: 85*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w = 25. Suppose 10 = c - 4*v, 3*c - w*v + 3*v - 10 = 0. Let g be 3 + (-2)\/4*2. Are c and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15)\/(((-3)\/(-3))\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*z - 65*z - 332*z.\nAnswer: -620*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**2 - 2*d + 3. Let b(p) = -23*p**2 - 11*p + 17. Let f(c) = -6*b(c) + 34*v(c). Let s(h) = -2*h**2 + 3*h. Give 5*f(x) + 4*s(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -184a83?\nAnswer: 184a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20208, 40422, 60640, 80862, 101088?\nAnswer: 121318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -53551 bigger than -53550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -35.71673\nAnswer: -678.61787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154659 - 4*u**3 + 154659.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**3 + 161*f**2 + 163*f**2 - 488*f**2 + 164*f**2.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*k**4 + 1104*k**3 + 675*k**3 - 14*k**2 - 12102 - 1777*k**3 wrt k?\nAnswer: -68*k**3 + 6*k**2 - 28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(-21))\/s)\/s)**43*(s*s**(-20))**32 assuming s is positive.\nAnswer: s**295","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 smaller than -351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2000*m**4\/13 - 66200*m**3 - 258060*m**2\/13 - 25802*m\/13 - 860\/13.\nAnswer: -2*(m + 430)*(10*m + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2667493 by -148.\nAnswer: 2667493\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 1, a: 4, z: 2, n: 9}. What is prob of sequence nmz?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 5*i**2 + 9*i + 9. Give m(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1)))**(-22)\/(x*(x\/(x\/x**(-2\/3))*x*x)\/x*x*x*x**(-4)) assuming x is positive.\nAnswer: x**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -210*d**5 + 2578*d**4 - 6782*d**3 + 5414*d**2 - 928*d - 72 = 0.\nAnswer: -2\/35, 1\/3, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 12 + (9 - (22 + -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 310219 and 6.\nAnswer: 1861314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1482\/(-2508)*10\/65.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11a40 - 4?\nAnswer: -11a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -481544618 less than -52?\nAnswer: 481544566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*w. Find the second derivative of -w*c + 2*c**3 - 2*c + 6*c wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 260218, 260222, 260236, 260260, 260294?\n\"Answer: 5*h**2 - 11*h + 260224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 32352 = 4*m, -2*m + 2245 + 13923 = -3*t. Let o(r) = -m + 8090 - r**2. Let a(k) = -26*k + 26*k + 15*k**2. Calculate o(a(f)).\nAnswer: -225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 130. Let u(f) = -f + 1. Let p(n) = -2 - 2*n + 14 - 3*n. Let g(t) = i*u(t) - p(t). What is g(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 + 0.6. Let y = z + 1.9. Let j = -2 - -4. Are j and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 329 - -70. Find the common denominator of ((-15)\/405)\/((-4)\/a) and 9\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 30, 0, -31\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 8*h**2 + h - 4. Let o be j(8). Factor 3*d**3 - 5*d**3 + o*d**3 + 2*d**2.\nAnswer: 2*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96873*i + 391 = -96890*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - x + 2*x = -25, -2*a + 62 = -5*x. Suppose 3*w - y - a = -7, 4*w - 22 = 2*y. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 7 - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 - 3*s**3 + 4*s**3 + 7*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177221 is divided by 189?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)*-6 - -1. Let g = -5 - s. Sort -3, 3, g.\nAnswer: -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4004*q - 4003*q - 34 = -f, 0 = -2*f + 60 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (6 + -7 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6608 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(224)*-4)\/(2*sqrt(50) - (sqrt(2) + (1*sqrt(16))\/sqrt(8))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, g: 3}. Give prob of picking 2 g and 1 h.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6868 + 6899. Solve m*a = 15 - 201 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2869 + 2553.6. Let s = b + 314. Which is smaller: s or -0.01?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38503 by 1.\nAnswer: -38503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 4. Let n = -3 + 7. What are the prime factors of g(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*t = -85*t + 983*t + 73138 for t.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48588061.\nAnswer: 48588061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -48. What is the derivative of 55 + 19*n**3 + 15 + 5*n**c wrt n?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 * 1.77\nAnswer: 44.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.429 * 903.\nAnswer: -387.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**23*(r**(2\/9)*r)\/((r\/(r*r**(-1\/4)))\/r) assuming r is positive.\nAnswer: r**(-757\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 12. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(684)\/(sqrt(36)\/sqrt(3)))\/((sqrt(42)\/sqrt(2) - sqrt(21))\/sqrt(7) - (-1*sqrt(3)*2 - sqrt(3))).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 39*q + 12. Let m be j(-12). Let t = m - -131. Suppose -4*h - 120 = -5*a, -4*h + 2*a - 124 = -2*a. Is t at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 193*m - 193*m. Let r(y) = -4*y**2 - y. Give -2*r(h) + 6*u(h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2*u**6 - 1040*h**2 - 2*h*u**2 + 4*h + 22951*u**6 wrt u?\nAnswer: -240*h**2*u**3 + 2754120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + 2 + (sqrt(1584) - -1*sqrt(1584))*2 + 2 + 0 + 0)**2.\nAnswer: 768*sqrt(11) + 25409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:28 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9186 and 9?\nAnswer: 27558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120169, -240339, -360509, -480679, -600849, -721019?\nAnswer: -841189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w + 32*w + 4464. Let s = -351 - w. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + -8. Let b be (4 - (-232)\/x)*5. What is the closest to -1 in b, -2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31273629 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1130 + 1135. Suppose -n - 9070 = -4*w - 0*n, -w - n + i = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = 0, n + q + 15 = 3*n. Let l = 11 - n. Solve -l*x - 1 - 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*t - 2*t + 1, 2*t = -4*u - 8. Solve -24 = -t*z + 5*m - 5, 2*m = z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/4 + (-143)\/(-44). Suppose 0 = n*t + 19 + 1. Let j(m) = -199*m + 5. Let b be j(t). Round b to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/1 - 6\/(-9))\/(60\/(-72)). Solve -v - 5*u - 4 = -3*u, y*v + 2*u = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 18\/43 (b) -0.1 (c) 4\/3 (d) 50 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**41*u**(4\/13) assuming u is positive.\nAnswer: u**(537\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 13. Let f be 3\/((-6)\/l) + 15998. Suppose -5*k + o - 2*o = f, 12806 = -4*k + 2*o. Round k to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1. Let m(p) = 3*p**2 - 2*p - 5. Let j(o) = -m(o) + 5*t(o). Let a(n) = -4*n**2 + 3*n. Calculate 2*a(s) - 3*j(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*w + 20. Let g be (2 - (-16)\/w) + 2. Find n such that -g + 11\/3*n**2 - n**3 - 8\/3*n = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 4*x**2 + 7*x - 7. Let m be g(5). Let k(u) = u**3 + 4*u**2 - u - 2. Let w be k(-4). Let p = -1 + w. Sort m, p, -5.\nAnswer: -5, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17324782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-3 + (-8)\/6). Let i = 7 + m. Let l be 34\/2*(i + 4). Round l to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -154*n + 7. Give b(1).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**10))\/o**(1\/8))\/((o\/(o*o**4))\/o)**10 assuming o is positive.\nAnswer: o**(319\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23863*m**2*w**4 - 72836763*m**2 + 3121*m*w**4 - m - 3 wrt w?\nAnswer: 95452*m**2*w**3 + 12484*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z. Suppose a = 2*l - 5, 2*a - 5*l = -0*l - 14. Let x(j) be the second derivative of 0 + 0*j**3 + a*j + 0*j**2 - 1\/4*j**4. Give y(x(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*q**4 - 2393*q**3 + 3078113*q?\nAnswer: -1248*q**2 - 14358*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -14\/13 (c) 0.2 (d) 1\/4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 44 + 3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*k + 93*k = 995. Let y be (-2)\/8*(-2)\/(-2). Sort y, -7\/12, -1, k.\nAnswer: -1, -7\/12, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.838663 months?\nAnswer: 0.00248655525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 112673913 + 0.063\nAnswer: 112673913.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1))\/(-6)*(-28)\/(-21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7))**(-9) assuming y is positive.\nAnswer: y**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 17*y**2 - 19*y + 11. Let w be q(-18). Suppose -v + w = 5. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 4612527?\nAnswer: 4612522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5696\/(-40) - (26\/10 - 2). Let y = c + 213. List the prime factors of -8 + 10 + y + 2.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650232.3 rounded to the nearest 10000?\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62543?\nAnswer: 13, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 1040*j + 64236.\nAnswer: 4*(j + 101)*(j + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j + 8*j + 11*j to q + x*j and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 2342*x + 16441. Determine r(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217 + 2*c + 692 + 684 + 89 to the form d + x*c and give d.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501681763.\nAnswer: 11, 45607433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 78. Let a be i(-7). Let p = a + 165. Is p a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -260a156?\nAnswer: -260a154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 3.990972.\nAnswer: 9.990972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5176?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10456 - -10453. Let y = -41 + 42. What is the closest to 2\/23 in 1\/9, y, g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 3*j - 8. Suppose -4*v + 5 = -j*v - 5*u, 3*v + 3*u = 18. Solve 4*y = -v*l + 10 + 3, -2*y = 4*l - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 17?\nAnswer: 42\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*b + 297 = 0, 2*t + b - 198 = 6*b. Let v = -97 + t. Differentiate 3*r**3 + 111*r - 111*r + 2*r**2 + v - 15 with respect to r.\nAnswer: 9*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l. Let m(j) = 8*j - 7*j + 92 - 92. Calculate y(m(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*s**3 + 7*s**2*z**2 - 7722*s**2*z + 20*s*z**2 + 89*s + 4*z**2 + 56 wrt s.\nAnswer: 84*s + 14*z**2 - 15444*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*a - 57, 2*a - 7 = -2*n + 31. Suppose 0 = a*t - 17*t - 130. Round t to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151978931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5128 is divided by 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**4*u + 81*c**4 - 2*c**3*u + c**3 + 4462*c**2*u - 2*c*u wrt c.\nAnswer: -72*c*u + 1944*c - 12*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -8 + (13 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 8220*o**2 + 3336945*o + 34196450.\nAnswer: 5*(o - 827)**2*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 4, g: 3, p: 5}. What is prob of picking 3 p and 1 n?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 5*u. Let m(j) = -j**2 + 5*j + 4. Let a be m(5). Let o be f(a). Suppose 2*h - o + 12 = 0. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let z(u) = -2*u - 114. Calculate n(z(h)).\nAnswer: 4*h**2 + 456*h + 12996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6763 - 4*t - 6*t**2 + 2*t**4 + 9*t**3 - 6763 in the form a*t**3 + s*t**4 + o + k*t**2 + l*t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 32544*r**3 + 66259536*r**2 - 264517696*r.\nAnswer: 4*r*(r - 4066)**2*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.235151kg?\nAnswer: 6235151000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 38976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555898?\nAnswer: 2, 7, 59, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((10 - 12) + (-1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**4\/24 + 23*p**3\/6 - 582*p**2. What is k(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470610 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m. Let x(j) = 7*j**2 - 886. Determine h(x(c)).\nAnswer: -112*c**2 + 14176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -3) + 44 + -33\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 36*h - 3. Let l be i(-1). Let d = 42 + l. Suppose -2*w - d = s - 14, 0 = -2*s + 3*w - 6. Solve 0 = -5*a - 3*r + 21, a = -r + 2 + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4, 2*a - 5*d - 2548 = 13083. Suppose 2*t - a = 4837. Let y(w) = -t + 6325 - w**2. Let c(s) = 5*s**2. Calculate y(c(x)).\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/4 + (-325)\/(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -5*w**3\/6 + w**2\/2 + 27*w. Let a be r(-3). What is the first derivative of 12*d**2 + a - 13 - 1 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-1320))\/(8\/20).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcrg when four letters picked without replacement from {c: 4, g: 1, r: 4, u: 6, k: 3, e: 2}?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10*r - 7*r + 13*r - 12*r. Let z(h) = 4 - h**2 + 3*h**2 - 4. Calculate p(z(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -27*i**2. Let a(y) be the third derivative of 209*y**4\/24 + 267*y**2 - 3*y. Determine a(r(q)).\nAnswer: -5643*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:30 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5776 + 5751.89. Let g = r - -0.11. Let w = 19 + g. What is the third smallest value in 1\/4, -1, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 greater than 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 828*g - 81869. Determine x(99).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-3)\/12 - 1\/2. Let y = -0.8 - 0.2. Suppose m = -5*t + 7, 5 = 4*t + m - 1. What is the nearest to t in r, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**7\/210 - a**6\/60 - a**5\/20 + a**4\/6 + 2*a**3\/3 + 2*a**2 + 7*a. Let z(q) be the first derivative of f(q). Factor z(t).\nAnswer: (t - 2)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 240, 158, 76, -6?\n\"Answer: -82*q + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/294*-7*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -17029*s**2 - 3*s - 3. Let a(q) = -34*q**2. What is u(a(k))?\nAnswer: -19685524*k**4 + 102*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (4 - (-3 + 9)). What is the greatest common factor of 21 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*q - 18. Let j(s) = 2*s + 3*s**2 - 5 + s**3 - 4*s**2 - 5*s**2. Let w be j(6). What is the highest common factor of w and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**2 - 49*l. Let r(c) = 8*c**2 - 50*c. Let x(z) = -3*r(z) + 2*s(z). Solve x(p) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733720 is divided by 453?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:11 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.52 - -29.82. Let i = 9 - 37. Let j = i + s. Round j to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 + p + 147 + 150.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-4)*t*(t**(-2\/9)*t*t)\/t*t*t)**(-35)\/(t**(-1)*t**(2\/9)\/t)**41 assuming t is positive.\nAnswer: t**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*a + 76 = 169*a - 290*a. Let q(s) = s. Let j be q(1). Let x be (-3)\/(j\/(1 + 0)). What is the second smallest value in a, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -244\/3 + 82. Let s = -111\/2 - -56. Put p, s, -1\/5 in descending order.\nAnswer: p, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 1743, 5599, 12939, 24873, 42511?\nAnswer: 66963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (91\/637)\/((-2)\/(-44338))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 424836?\nAnswer: 2973852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h = 4*g - 24, -g - 2*h = 6. Let z(a) = -a**2 - 14*a. Let y be z(-6). Suppose -y = -w - g*w. Solve 5*j + 9 = -w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w = 224 - 26 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 11\/39, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 12*d**2 + 22*d + 76. Let p be z(10). Calculate the greatest common factor of p and 17232.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*o**2 + 11 - 64 + 53.\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 e when three letters picked without replacement from {z: 4, e: 3, h: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 39, -8, 2.\nAnswer: -8, -4, -2, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24 - 9 = 0. Let z = -3 - g. Determine x so that 7*x**5 + 2 + 8*x**4 + 2*x - z*x**5 - 2*x**2 - 3*x - 4*x**3 - 8*x**2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u**3 - 21*u**2 + 1062*u + 5. Let i(s) = -7*s**3 + 16*s**2 - 1062*s - 4. Give 3*f(r) + 4*i(r).\nAnswer: -r**3 + r**2 - 1062*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 286394 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(1 + 5\/(-3)). Let p = -159\/8 - -20. Which is the third smallest value? (a) p (b) m (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-3*v**3 + 4*v**3 - 2*v**3) + 335*v**3 + 316*v**3 + 52*v**3.\nAnswer: 704*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44300, 42874, 40498, 37172?\n\"Answer: -475*v**2 - v + 44776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 2:32 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671, 674, 679, 686, 695, 706?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300.711 - 301. Let n = -0.34 - v. Sort -2, n, -2\/5 in decreasing order.\nAnswer: n, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + 3*q + 6. Let l = -3078 + 3076. Give y(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(5\/2)\/l*l)\/l)\/(l\/(l\/(l*l**(-2))*l)))**(-15\/8))**1 assuming l is positive.\nAnswer: l**(-105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11252645 to four dps.\nAnswer: -0.1125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35146 - 2?\nAnswer: 35144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 - 3 + 0*o**3 + 2 + 2*o**3 + o**3 as y*o**4 + q*o + c*o**3 + z*o**2 + x and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -356 < -354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-70))\/(-3 - -1). Which is the biggest value? (a) -5 (b) i (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/7 + 220604*t\/7 + 2867176\/7.\nAnswer: 4*(t + 13)*(t + 55138)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**5\/10 + m**4\/12 - m**3\/2 - 3*m**2\/2 - 15*m + 20. Let a(j) be the first derivative of o(j). Give a(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Suppose y = -2*o + 284 - 16. List the prime factors of o.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*k*r*s**3*v - 2*k*r*s + 4*k*v**3 - 3*r*s**3*v**3 - r*v**3 - 45*v**3 wrt k?\nAnswer: -25*r*s**3*v - 2*r*s + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 7*z)*(1 - z - 1).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(39)\/sqrt(3))**2 + 1 - (1*(3 + sqrt(13)) + sqrt(13)).\nAnswer: -2*sqrt(13) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 + -0.3. Let q = -0.1 - z. Which is the third biggest value? (a) q (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 45, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/360 - b**5\/60 - b**4\/8 + 11*b**3\/6 - 12*b**2. Let x(i) be the first derivative of z(i). Factor x(a).\nAnswer: (a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1308 - 1306. Suppose -9 = -d + b - 2, -3*b = -d + 17. Suppose -a = 4*i + 2*a - m, 10 = -d*i + 4*a. Which is smaller: -3\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 s when four letters picked without replacement from seeeeeeeseseeses?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23737 = -c - 5*k, -k = 2*c + 3*k + 47504. Let b = 2900 + 53862. Let n = b + c. Round n to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358499867 rounded to the nearest 1000000?\nAnswer: 8358000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41546 + 70353. List the prime factors of p.\nAnswer: 28807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 48*i + 1. List the prime factors of f(4).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3345*y - 170 = -3430*y. Sort y, 1299, 5 in decreasing order.\nAnswer: 1299, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55256832.\nAnswer: 2, 3, 29, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*k**2*o**2 + 3*f*k**2*o - f*k**2 - f*k*o**2 + 6*k**2*o**2 - 3*k**2 - 3*k*o wrt o.\nAnswer: -4*f*k**2 - 2*f*k + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -z + 26, -4*z + 0*z = 2*n - 14. Suppose 2*g + 3*k = 168, 420 = n*g - 2*k - 3*k. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 10.7.\nAnswer: 18.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0*k - 2*k = 23, 0 = -4*o + 5*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1298, 2591, 3884, 5177, 6470?\n\"Answer: 1293*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 16 + -6 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 2*z + 2*z)*(-324 + 30 + 45)*(7*z + 3*z - z**3 - 8*z) in the form f*z**3 + d + m*z + i*z**4 + r*z**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 60676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**5 - v**4 + 866*v**3 - 512*v?\nAnswer: 40*v**3 - 12*v**2 + 5196*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -2*c + 80. Solve 3*z + 2*z + c = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136895900 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7*w**(-2\/31))**(9\/7))**1 assuming w is positive.\nAnswer: w**(1935\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1*1\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 30 (b) 0.4 (c) 5 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-56*22\/847)\/((-67)\/201)\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**3 + w**2 - w. Determine j(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 2*u**2)*(-3 + u + 3)*(-4 + 12 + 8).\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 6*k - 4. What is s(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 6 (b) 2 (c) -22 (d) 1080 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*i - 35 = -b, 2*b - 4*i = -16. List the prime factors of (-1 - b)\/(7\/21).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmp. What is prob of sequence pp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 851 + -474. Suppose -5*z - 152 + n = 4*c, 5*c = -z + 297. What is the highest common divisor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 51 = 2*n. Let t be (-3)\/5 - n\/15. Let b(v) = -v**3 - 5*v**2 - 5*v - 1. Give b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.3 (c) -9 (d) -0.28 (e) 1\/11 (f) -4 (g) 1641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*j - 308 = 82*n - 19*n, -4*j + 5*n + 70 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 - -2. Let v = 397 + -399. What is the closest to 0.2 in n, 5, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3133153 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -30. Let n = g - -78. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/18)\/((-2)\/3). Let f = y + 0. What is the third derivative of -5*d**4 + 4*d**4 + 6*d**2 - 4*d**2 - d**f wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63883 and 0.5.\nAnswer: 31941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 212672762.6 to the nearest 1000000.\nAnswer: 213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2108 and 8.\nAnswer: -16864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*((t**(-3\/8)\/t)\/t)\/t)\/(t**(2\/7)*t**(-9\/4)) assuming t is positive.\nAnswer: t**(-93\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 116 = -3*o + 92, 2*o + 2*s = 128. What is the greatest common factor of 51 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 - 12*n + 4. Let l(j) = 6*j**2 - 9*j + 3. Let c(r) = -3*i(r) + 4*l(r). Let t(b) = -686*b. Determine t(c(m)).\nAnswer: -2058*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 5 - -67) + -15 + -8\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 371 and 445677.\nAnswer: 3119739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -45, -59, -73, -87?\n\"Answer: -14*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -22 + 2797*q**2 - 3*q + 6 - 148*q**2 - 414*q**2. Let a be t(8). What is a rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2344 by -457.\nAnswer: 2344\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -91865 times -26\nAnswer: 2388490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*h**4*p**2 - 7*h**4 - 4*h**2*p + 13*h*p**2 + 2*h - 9*p**2 - p wrt h?\nAnswer: 312*h**2*p**2 - 84*h**2 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i - 166 - 8*i**2 - 168 + 22*i**2 - 110*i**2 wrt i?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 1 - 3*s + 0*s + (1 + 3 - 2)*(2 - s - 2) - 3*s - 2*s + 3*s + s + s - 4*s + 2*s - 5*s + 2*s.\nAnswer: -6*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 0, 0*c + 2*c - 16 = 2*y. Find the second derivative of -q + 15 - 15 - c*q**2 wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 8*i. Let f = 36 - 28. Give p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-28)*(-3 + 1). Let o be (-2 + (-10)\/g)\/((-16)\/296). Let h = 246 + o. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2189 or 2190?\nAnswer: 2190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2320655 - -3?\nAnswer: -2320652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-68)\/(-10) + 3\/15. Let q = t - 3. Suppose q*n = 10 + 2. What is the remainder when 8 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q**2 + 6*q. Let j(a) = -5 + 11 - 6 - 2*a - 3*a + 8*a**2. What is -6*j(g) - 5*o(g)?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7124.39677 + -7120.19. Let z = p + 351.17923. Let h = -356 + z. What is h rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let s(x) = -4*x - 3 + 0*x + 3. Calculate s(k(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25330*t - 25324*t - 54 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 24.74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0442 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31662427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 5:13 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.26087 plus -0.2?\nAnswer: -29.46087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 5)*(t - 1 + 1) + 0*t + t + t + t - 5*t + 3*t + t - 3*t + t - 7*t - 6 + 6 - 1 + t + 1 to the form r*t + i and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2400890, 2400893, 2400884, 2400857, 2400806, 2400725?\n\"Answer: -q**3 + 10*q + 2400881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 + 0.08. Let c(x) = 21*x - 647. Let i be c(31). What is the nearest to 2\/5 in i, z, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:50 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*l + m, -3*l = -m + 31 - 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00674451 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-2)*(-8)\/(-6). Suppose -i*v**2 + 13*v**3 - 11*v**3 + v**3 = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 4 - 7*g + 4 as i + h*g and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30331, 61077, 91823, 122569?\n\"Answer: 30746*i - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4095787 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1148*y + 336. Let c(s) = -1108*s + 337. Let q(m) = 3*c(m) - 2*g(m). Differentiate q(w) with respect to w.\nAnswer: -1028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*k - 3*k + 126, n - 14 = 4*k. Calculate the remainder when 1325 is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 648108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -19 in descending order.\nAnswer: 1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcb when three letters picked without replacement from {n: 4, t: 1, b: 2, c: 3, q: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 15 - 26 + h - 14.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 - 8386*x + 458676 = 0. Calculate x.\nAnswer: -4247, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 138.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4884686km to meters.\nAnswer: 488.4686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 330.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2\/3 + 9070*q\/3 - 6040 = 0. What is q?\nAnswer: 2, 1812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113465506 by 222046.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q + 12. Suppose 3*j - 189 = q*j. List the prime factors of (-2)\/(-8) + j\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*s**3 - 706*s**3 + 178*s**3.\nAnswer: -876*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 57. Suppose r - t = -3*r. What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1709\/2 + -4233\/5. Let h = 3 + -1. Find the common denominator of 564\/(-16)*h\/(-9) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77) + -2*sqrt(77) + sqrt(77))*-1 - sqrt(77))\/sqrt(7))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g = 32. Suppose 2*q + 16 = l + 5, 4*q = 3*l - 17. Is 7 a factor of 2\/g - 214\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 6*m = -1, -n + 6*n - 5*m + 14*m = 10*m + 36 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2285, -2276, -2245, -2180, -2069, -1900?\n\"Answer: 2*b**3 - b**2 - 2*b - 2284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192 or -91935\/478?\nAnswer: -91935\/478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155449 is divided by 11946?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*a - 33, -437*h + 118*a = -435*h + 396 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19748 and 80?\nAnswer: 394960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1001*-0.5.\nAnswer: 500.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1160*y**3 + 3*y - 5*y + 2200*y**3 in the form j + k*y**2 + g*y + q*y**3 and give q.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzqzztfjvtj. Give prob of sequence vt.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -67249.616 to the nearest one hundred.\nAnswer: -67200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17128 is divided by 4209.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -2*(sqrt(171)*4 + sqrt(171) - sqrt(171)) + sqrt(171))*4)\/(sqrt(45)\/((sqrt(5) - sqrt(245)) + sqrt(5))*-3).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + i - 43 = 0, 834*n = 832*n + 4*i - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 922769371 to the nearest integer?\nAnswer: 30377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v + 0*v)*(-4 - 4 + 1) + 3*v + v - 3*v + (3*v - 5*v - v + 4 - 4 + v + (3 - 1 - 3)*(5*v - v - 5*v))*(-3 + 0 + 5).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-1\/4))\/i**(-5))\/((i\/(i\/((i*(i*i\/i**3)\/i)\/i*i)))\/i**(-2\/15)))**39 assuming i is positive.\nAnswer: i**(5551\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 12*k + 17*k + 9*k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:39 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -330, -1131, -2704, -5307?\n\"Answer: -43*y**3 + y**2 + 11*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 11. Let a(q) = -5*q - 7. Let y(c) = -15*c - 20. Let p(j) = b*y(j) - 11*a(j). What is the first derivative of p(s) wrt s?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 8*w**2 + 8*w + 26. Let v(u) = -u**3 - 5*u**2 + 5*u + 13. Let i(z) = -3*t(z) + 5*v(z). Calculate i(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279\/5 + -56. Let q = 1355\/21 + -524\/7. Let x = q - -10. Is x less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-3) + 9\/(-27). Suppose -10*a + 5*a = -c*i + 2631, 5*a = -4*i + 2641. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 3*u + h, u = -h - 226 + 330. Calculate the remainder when 219 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 4829?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 56 = 30*n + 34*n. Sort 60, 5, 26, n in ascending order.\nAnswer: n, 5, 26, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101917581.\nAnswer: 3, 1327, 25601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -h + 3. Solve 0*z = 2*z - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -11 + -2 - -14 - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, 7, 35, 63, 91, 119?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*y = 1540 + 6984 + 161 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**3 + f**2 + f - 2. Let o be v(2). Let i = o - -49. What is u in u + 3*u**4 + 2 - 3*u**2 + 0*u**4 + 4*u**3 - 2*u**4 - i*u**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*x + 225*x - 679*x + 232*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4071*a + 1882*a - 15881*a + 596310 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*n + 5, -6*n - 248 = -5*w - 238 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143)\/(-22)*-21*59\/(-289926).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141.623 + 141.64. Which is the biggest value? (a) -1 (b) 4 (c) 3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2040, -79, 5 in descending order.\nAnswer: 5, -12, -79, -2040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 34660109754?\nAnswer: -34660109767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707857?\nAnswer: 707857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z - 11. Calculate g(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-12)\/2*-1. Calculate the remainder when (-2)\/(-5) + 143\/c is divided by (-18)\/(-27) - 43\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/24 and -11\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2\/27, -0.019, 0.6, -1\/2, -1\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 7*i - 10. Let v be p(8). Suppose 2*u + 9 = 5*u. Sort u, v, -4.\nAnswer: -4, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(5\/4)\/(m**(-1\/7)\/m))\/(m**(-2\/13)\/m**5))\/((m*((m\/m**5)\/m*m)\/m)\/(m*m**(2\/3)))**36 assuming m is positive.\nAnswer: m**(77003\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 4:27 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 3548. Is 2\/7 + s\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/21, -36, -1215?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2299655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1798.966827 nanoseconds?\nAnswer: 0.0000000000029744821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11814648 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 10:20 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 4 - -8 - -4) + (-1 - 9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 389389 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: Suppose 0 = 3*h - 9, 0*h = 2*s + 5*h - 41. Let r(t) = 25*t + 149. Let z be r(s). Round z to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -162, -450, -726, -984, -1218?\n\"Answer: p**3 - 295*p + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h)**14\/(((h\/(h\/(h**(-1)\/h))*h)\/h*h)\/h)**(-17))\/(h**(-11)*h**(-9))**(4\/3) assuming h is positive.\nAnswer: h**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/3)*a\/a**(1\/2))**(2\/39) assuming a is positive.\nAnswer: a**(11\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150*j**3 - 49620*j**2 - 8635503*j\/2 - 69899787\/2.\nAnswer: -3*(j + 9)*(10*j + 1609)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/57)*k)**(2\/71) assuming k is positive.\nAnswer: k**(112\/4047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7922650?\nAnswer: 2, 5, 193, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {e: 2, m: 10, d: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -257 - -263. Suppose -a + j*a = -2*o + 8555, -5112 = -3*a + 3*o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 10. What is the common denominator of (143\/2 - 1)\/f and -41\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -1168, 1\/3 in decreasing order.\nAnswer: 1\/3, -97, -1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054 is divided by 1024.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-540)\/(-75))\/(-3)*2\/(-4)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 14, 1\/34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135215*k + 135220*k + 27 = 4*o - 68, -67*k = -o + 2*o + 1000 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15494\/3*(-126)\/(-84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7265645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2557248 and 958968?\nAnswer: 7671744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 138*z + 1488. Give y(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/40*-5)\/(-1). Let h = o + 2. Let f = -7\/4 + 45\/28. Which is the nearest to -3? (a) 5\/3 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4\/b)\/(b\/(b**1*b)))**(1\/8)\/(b**(-2)\/(b*b\/((b**4\/b)\/b)*b))**(1\/8) assuming b is positive.\nAnswer: b**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 74*z - 71*z - 29 = 0, -5*z = -6*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1908.95 years to millennia.\nAnswer: 1.90895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 146768636 divided by 5\nAnswer: 146768636\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d + 2. Calculate the remainder when (-1)\/(2\/(-4)) + 36 is divided by p(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -2*u - 40 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 34223853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 113*l + 132*l - 2472 = 39*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2479.1 - 2380. Let q = 1.9 + z. Let y = q - 96. Put y, 2, -1, -0.08 in descending order.\nAnswer: y, 2, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -496, -1128, -2026, -3196?\nAnswer: -4644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 37972?\nAnswer: 37972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 14 - 10 - 9. Let c be a(-4). Solve 0 = -x + 2*d + 13, -c*d = -0*x + 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s + 8*s + 8*s + 8*s + 5*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 15*a + 3372. Suppose 836 = 5*v - 4*z, 5*v + 2*z - a = -z. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 33 = -i, -4*y = -4 + 24. Let t = -5 - i. 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 220122020120221 (base 3) in base 8?\nAnswer: 61746157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 2663, 5543, 9455, 14399, 20375, 27383?\nAnswer: 35423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -416?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-7 - (3 + -11 + 5))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = g, -5*g - 1 = 5*t - 3*t. Suppose -2*f + 1536 = t*z, -5*z + 6*z + 1 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Suppose -j*q = 27 + 3. Let s be ((-10)\/q)\/((-1)\/(-3)). Solve -9 = s*o + 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 748776 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (-80 - -58 - 15).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 1645914*s**2 - 1645917*s.\nAnswer: 3*s*(s - 548639)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -485812.781 times -0.3?\nAnswer: 145743.8343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4745 and 45.\nAnswer: 42705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12*r**2 + 24*r + 3. Let d(t) = -11*t**2 - 22*t - 2. Give 5*d(w) + 4*o(w).\nAnswer: -7*w**2 - 14*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 2.165443 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**4\/12 + 10*l**3\/3 - 19*l**2\/2 - 16*l - 33. Let r(b) = 0. Calculate b.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 6. Calculate the common denominator of 158\/(-28) - 1\/j and -2 - ((-1079)\/(-338) + -3).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*t**4 - 11*t**3 + 11*t**3 - t**2 + (-4*t**4 + 0*t**3 + 0*t**3)*(2 + 0 + 0) as p*t**4 + d*t**3 + q*t + c*t**2 + w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*x = -14, -8*q - 4*x = -6*q + 4. Let p be (15\/q)\/(39\/52). Is (p + -68)*(-58)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75*(16\/5)\/4. Suppose m - 5*b = l, b + 199 = 3*m + 5*b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*l**3*t**2*z - 160144807*l**3*z**2 - 28*l**3*z - l**2*t**3*z**2 - l**2*t**2 - 357*l*t**3*z + 2*l*t**3 - t**3 wrt z?\nAnswer: -320289614*l**3 - 2*l**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 13 + 4. Let n be -1 + -2 - (j + 3). Which is bigger: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -318, -715, -1280, -2019, -2938, -4043?\n\"Answer: -x**3 - 75*x**2 - 3*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - f**2 + f**2)*(f - 3*f + 1 + 1) - 408*f**3 - 199*f + 199*f.\nAnswer: -416*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**8\/112 - p**6\/20 + p**4\/8 + 3*p**2\/2 + p. Let j(v) be the first derivative of l(v). Factor j(f).\nAnswer: 3*f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*w + 97*w - 59962 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4227933 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005367 rounded to seven dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 439 + -239. Let a = x + -3398\/17. Sort a, 0.5, -1.\nAnswer: -1, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Let l = 73 + -83. Calculate the remainder when (-128)\/(-20) - 6\/l is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*m + 9*m - 7820, 2*m - 4*t - 3898 = 0. What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1402, 2797, 4192, 5587?\n\"Answer: 1395*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 217395.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m - 22. Let i be -1*(2 + -4) - -7. Suppose -i = -5*h - 4*v, -2*v - v = 2*h - 5. Calculate the lowest common multiple of h and d(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/12 - 5*v**3\/2 + v**2 - 19*v. What is the remainder when (31\/2*2)\/1 is divided by b(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*g**3*v**2 + 2*g**3 + g**2*v**2 - 325*g**2*v wrt v.\nAnswer: 170*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 68 = -18. Suppose -i*n + 40 = -70. Suppose 1 = -2*b + n. What is the remainder when 13 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 425\/(-34) - ((5\/(-2))\/(-1) - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = -19. Let w = -3 - -5. Sort 1, c, w in decreasing order.\nAnswer: w, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - p + 68 = 0, -p - 20 = -5*p. Suppose -4*g = m + 3. What is the units digit of (g + 14)\/(5 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*j = -556*j - 274*j + 33887 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*c - 258*c - k = 192 + 106, c = k - 10 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 2:55 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(44) + (-1*sqrt(5324) - sqrt(5324)))\/(sqrt(400)*-4))**2*1.\nAnswer: 4851\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 10\/16079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -640, -2.00901?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 + -359. Let q = l - -206. What is the biggest value in -4, 0, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 59*x - 602. Let k be n(10). Let a(y) = -y + 1. Let m(u) be the second derivative of -u**4\/6 - 7*u**3\/3 + 7*u**2 + u. Give k*a(g) + m(g).\nAnswer: -2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*k + 11 = 3*s + 1004*k, -5*s = 2*k - 8*k - 40 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k - 23*k = 48*k - 153 - 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 592, 593, 594, 595, 596, 597?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3372241 is divided by 102.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:54 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11638 - -11417 - (1 + -136)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 700 - -174. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57 and 17858596131?\nAnswer: 17858596188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = -55*w + 284768. What are the prime factors of w?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*f - 2*f - 3*b, -3*b - 36 = 4*f. Let y = -4 - f. Suppose x = -2*q + y, 4*q + 5 = 5*x - 4*x. Solve -2*t + q = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 2)\/((-2)\/(-30)). Let p = -507 + 516. Suppose -p*a = -3*a - f. Solve -q + a = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-150)\/(-6))*10\/16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.39 and -157?\nAnswer: 375.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -138, 1129, 2396, 3663, 4930?\n\"Answer: 1267*c - 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2590 and -127\/42?\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3774.2 + -4357. Let v = -532 - n. What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8522 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by ((-17)\/51)\/((-2)\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1462 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:23 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3174 minus -25.8?\nAnswer: -3148.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/((-91)\/455)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 85960\nAnswer: -17192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 8:28 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142727542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 384*a + 49964. Determine z(-130).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-90)\/(-3)))\/(152\/(-608)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*r + 10, -4*v = -0*r + 5*r + 8. Let s be 30625\/(2\/(-320) - r). Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.193, -2, -49873 in increasing order.\nAnswer: -49873, -2, 0.193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1849953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-34)\/(v**1\/v)**(9\/13))\/(v\/(v*v**(-4\/3))*v*v\/(v**(4\/7)*v)*v*v\/(v\/v**(-2\/9))*v**(-2\/13)) assuming v is positive.\nAnswer: v**(-1954\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165126094, -165126095, -165126096, -165126097?\nAnswer: -165126098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188086 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34412648 divided by -4?\nAnswer: -8603162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1632841 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/21316 and 19\/11?\nAnswer: 234476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 41*y**2 + 388*y - 18. Determine x(-22).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -40808 (b) 0.2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62080974 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -44. What is the second biggest value in h, 2\/11, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 15 + 3)*(0 + 4 - 5)*(-4 + 2*q - 4*q + 2).\nAnswer: -24*q - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 + 155 + 151 - 3*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h - 5. Let w be z(4). Let k = 75 - w. Suppose -2*l + k = -50. List the prime factors of l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 295448951 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/73 - -79\/438. Suppose -y = -4*p + 3, -3*p = 4*y - 5 - 2. Is o not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + 1 + (-8 - -15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:13 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.1, 0.2, 0.3, 4, -3\/241?\nAnswer: -3\/241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26784.7 + -28624. What is t rounded to the nearest ten?\nAnswer: -1840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.08, 0.5, -5\/6.\nAnswer: -2, -5\/6, 0.08, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**4 + 2*l**4 - 4*l**4)*(1 - 7 + 1)*(5 - 6 - 3*l + 4*l).\nAnswer: -15*l**5 + 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*s - 3*s - 40, 0 = -3*q + 5*s - 32. Let o be 6\/q - (-3728)\/(-7). Let a = 193 + o. Round a to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:04 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 0*i + 0*i**2 - 7*i**3 - 135 + 21\/4*i**4. What is the third derivative of h(y) wrt y?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24068 + 24059. Let d(j) = -j + 1. Determine d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.7. Let k = 54 - 53. Let t = 4.4 - 0.4. Which is the second biggest value? (a) t (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**8\/7 - b**4\/12 - 6*b + 14. Let i(k) be the first derivative of d(k). Find the third derivative of i(a) wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 434 = -234 - 165. Which is greater: -0.24 or l?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7213900, -7213899, -7213898?\nAnswer: -7213897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 1808772*g + 1808769 = 0. What is g?\nAnswer: 1, 602923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781187224 is divided by 260395740.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from awaawaaaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13ab (base 13) to base 4\nAnswer: 230131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, 1.1, -2\/5, 0.4, -2\/15 in decreasing order.\nAnswer: 1.1, 1, 0.4, -2\/15, -2\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyie. What is prob of sequence eye?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 666357.6um in meters?\nAnswer: 0.6663576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1070.54 - -1039. Round n to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2006, -2009, -2012, -2015?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 9832 = 67764. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*j - 23 = 0, 3*j + 11 = 3*l - 58. Suppose 0*o + 5*k = 3*o - l, -4*k + 100 = 5*o. What is the lowest common multiple of 24 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4312*z + 8626. Let k be x(-2). Solve 0*v + 45\/2*v**k - 5\/2*v**3 - 270 = 0.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from ccccqqcqgcqqgcqq?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -150, -239, -338, -447, -566?\n\"Answer: -5*f**2 - 64*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let j be x(1). Let l(f) = 0*f**3 - 7*f - 2*f**3 + 8*f. Give l(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5428, 10841, 16252, 21661, 27068, 32473, 37876?\n\"Answer: -z**2 + 5416*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kspksllksalssspsska. Give prob of picking 2 a.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 39, -78, -4, 19, 10.\nAnswer: -78, -4, 0, 10, 19, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((4*1\/2)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**2\/2 - 5*t + 2. Let b be 2\/(-3)*(-39)\/2. Let l = b + -8. Give y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 24. Let t be f(-8). Solve 0 = -u - k - 1, -4*u + t*k - k + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449 - 450. What is the nearest to -0.1 in -4\/9, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*x + 13289 = -284*x + 31878 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020022 + -1013?\nAnswer: -1021040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 215.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/15)\/((-1)\/(-25)). Suppose 3*b - 315 = -0*t - 5*t, -t - 2*b + l = 0. Suppose -3*g - t = -6*g. Calculate the greatest common factor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diddddedqiedeedbd. Give prob of picking 2 e.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1099*o + 27. Let b(f) = -220*f - 5. Give -11*b(c) - 2*j(c).\nAnswer: 222*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2. Let f(z) be the third derivative of z**7\/2520 - z**4\/3 + 6*z**2. Let n(g) be the second derivative of f(g). Determine n(x(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -128*q**2 + 17*q - 14. Let j(x) = -3*x - 3*x + 7*x**2 - 1 + 3*x - 6*x**2. Let g(o) = 5*j(o) + z(o). Find the first derivative of g(h) wrt h.\nAnswer: -246*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -14*q - 443. Calculate c(-35).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 1662216*o - 172685126916 = 0. Calculate o.\nAnswer: 207777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 + 14438*s + 17136314. Let f(h) = 4*h**2 + 19253*h + 22848419. Let m(i) = 19*c(i) - 14*f(i). Factor m(d).\nAnswer: (d + 2390)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-990)\/(-1155)*(-210)\/(-162).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y + 370. Calculate d(51).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((2\/9)\/((-680)\/(-360))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -3459?\nAnswer: -553.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.23 + 0.23. Sort -5, m, -0.4.\nAnswer: -5, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -60, -87, -120?\n\"Answer: -3*f**2 - 12*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 2 - 2 + (-w**3 - 1 + 1)*(2*w + w - 4*w) + 2*w**4 - 4*w**2 + 4*w**2 - 80*w**4 - 175*w**4 - 1103*w**4.\nAnswer: -1356*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 + -149. Let t = 32 + c. Sort -2, 3\/4, -1\/3, t in ascending order.\nAnswer: t, -2, -1\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495 = 3*h + 4*p - 436, 0 = 258*h - 2*p + 5420 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n - 16. Let b(z) = -4*z - 12. Let s(o) = -4*b(o) + 3*m(o). Let t(u) = 6*u. What is -18*s(q) + 2*t(q)?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = 3*c, 0 = -2*c - 0*f - 2*f - 2. Let p be c\/(6\/(-4)) - (-9 - -146). Does 4 divide -6*5\/p + 356\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103107 and 14829.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.9342 to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + 0 + (-14 - -11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*f = 206, -69 = -o + f - 4*f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673, -678, -685, -694, -705, -718, -733?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.9. Let b = p - 0. Let k = 2624 - 2629. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38\/7, 1, -2\/7, 13 in ascending order.\nAnswer: -38\/7, -2\/7, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)*(-2)\/2. Let f be (4 + 35\/(-10))\/((-1)\/(-112)). Let i = 281\/5 - f. What is the second biggest value in 0.4, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23637 - -60434. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, u: 3}. Give prob of sequence ou.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 - 175882*p**4 - 351761*p**3 - 175880*p**2.\nAnswer: -p**2*(p + 1)**2*(p + 175880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 37. Let b(l) = 15*l + 11*l + 8*l + 9*l - 35*l. Calculate k(b(r)).\nAnswer: -64*r**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 20*h**2 + 261*h - 69. Give z(-16).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*l**2*t - 764997066*l**2 - 10*l*t - 22179*t wrt t?\nAnswer: -27*l**2 - 10*l - 22179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525561 (base 9) in base 6?\nAnswer: 30031001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9146 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 26*b - 11*b + (-9 + 1 + 5)*(1 - 1 - 2*b) in the form k*b + y and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 4*g + 4*g**2 + 7 + 976*g**3 - 975*g**3. Determine k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*w + 5*w + 631, -5*w + 115 = k. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let t = -10 + 11. Let u = 0.8 - t. Which is the third smallest value? (a) u (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/5 + 16*m**4\/15 - 16*m**3\/15 - 28*m**2\/15 + 2*m\/3 + 4\/5 = 0. What is m?\nAnswer: -3, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 234*p**2 - 695*p + 1254. Let a be j(114). Suppose 0 = 5*w - 0 - 15. Factor a + 2\/5*k**4 - 16\/5*k**w - 36\/5*k + 42\/5*k**2.\nAnswer: 2*k*(k - 3)**2*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61238960227224 - -5.\nAnswer: 61238960227229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4037634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -83*n**2\/2 - 3*n - 470. Let z(w) = -18*w**2. Give a(z(m)).\nAnswer: 1494*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = 0, 3*i = 6*i + 2*p - 22. Calculate the smallest common multiple of 1 - 2 - (-4 - 0) and (i\/10)\/(1\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.4 + -13. Is 2\/5 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201356.46 to the nearest one hundred.\nAnswer: 201400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 4*p - 4. Let k = 0 - 5. Let i be b(k). Let w(n) = 15*n**2 + 1. Calculate the least common multiple of w(i) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 0)\/((-2)\/(-3)). What are the prime factors of 2 + s - 2*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(304) + sqrt(304) + -1 - sqrt(304)))**2.\nAnswer: -128*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002681479 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 19*d - 92 + 156.\nAnswer: -19*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3175 + -3182 + 2 + -4 + -1 + 76?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 - 139?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + -4*(-3 + sqrt(500))*2 + (6*(2*sqrt(500) + sqrt(500)) - sqrt(500) - (sqrt(500) + 1 + sqrt(500))*3))**2.\nAnswer: 1320*sqrt(5) + 4984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:59 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 236541729 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = -10. Let t(y) = -y + 26. Let h be t(14). Let a be ((-6)\/h)\/(o\/4). Is 2\/3 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118649897.\nAnswer: 118649897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 2*l**2 + 4*l - 3 - l**2 - 4*l**2. What is m(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 3*g**2 - 3*g - 4. Let s be x(-5). Let t = s + 193. What is the remainder when t is divided by 1272\/32 + 6\/(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/4 - 514093*j\/2 - 2570440 = 0. Calculate j.\nAnswer: -1028176, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1984 + -0.06.\nAnswer: -0.2584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166777*c**6 + 2*c**5*u**2 - 35*c**2*u + 853*c**2 - 5*c*u**2 wrt c.\nAnswer: -20013240*c**3 + 120*c**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 36*c - 54. Let m(w) = -7*w + 11. Let p(q) = -4*f(q) - 21*m(q). Let x be p(6). Solve -x*h = -2*g, 3 = g + 3*h - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16284?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(99) + -3*sqrt(45))**2.\nAnswer: 3380\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 + 4)) + 13 + -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -197, -182, -179, -194, -233?\n\"Answer: -f**3 + 22*f - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-112) - (-1)\/2. Which is the smallest value? (a) 5 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-145)\/(-45) - (-12)\/(-54). Let w be (3 - c)*4\/8 + 4. Solve -26 = 2*n + w*d - 0*d, 3*d = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/2 - l**3\/2 + l**2 - 5*l. Let m be (17\/(765\/36))\/((-2)\/(-5)). Determine s(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2255.02.\nAnswer: -1127.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 76. Let f be (4\/15)\/(14\/q). Which is the closest to 0? (a) 1\/5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 84, 88, 76, 54, 28, 4, -12?\n\"Answer: p**3 - 17*p**2 + 70*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + 5*o + 194, -5*f - 4*o = 1033. Let w = 3393\/16 + f. What is the common denominator of -37\/20 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**34)**20 assuming u is positive.\nAnswer: u**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/83 (b) 0.1 (c) -0.1 (d) -14 (e) -2\/13 (f) -51 (g) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924*o**2 + 488*o**2 - 160 + 366*o + 487*o**2 - 6*o**3 - 35 = 0. Calculate o.\nAnswer: -5, 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 6*s**2 + 2*s**2 + (-2*s + 3*s + s)*(3*s + 2*s - 4*s) in the form y + d*s + l*s**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/442 + -3\/26. Let h be 32\/8 + 18\/12*-2. Sort h, d, 3 in decreasing order.\nAnswer: 3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-584)\/(-20) - 6)\/((-2)\/(-10)). Suppose 390 = -c - o. Let y = -300 - c. What is the remainder when y is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 354600 to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.2, -2\/5, 19.\nAnswer: -14, -2\/5, -0.2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b*j**3*q + 10*b*j**2*q**2 + 126230*b*j*q**3 - j**3*q**3 + 5*j**3*q**2 - 13*q**2 wrt q?\nAnswer: 757380*b*j - 6*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667218229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(72) - sqrt(72))*2 + ((-2 + sqrt(72))*4)**2*1.\nAnswer: -384*sqrt(2) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -495*v**5\/2 - 7239*v**4\/2 - 16623*v**3 - 30780*v**2 - 22368*v - 4608 = 0.\nAnswer: -8, -16\/5, -2, -12\/11, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247051?\nAnswer: 7, 29, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4\/3 - 6302*m**3 - 202440*m**2 + 2656088*m\/3 - 910560 = 0.\nAnswer: -36, 2, 9485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 96 = -5*r. Let a(q) = -10*q - 7. Let w = -11321 - -11319. Let j(h) = h + 1. Determine r*j(d) + w*a(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -323*r - 278. Is x(-53) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 13*c + 4. Let m be z(-13). Suppose 3*x = -6, -i + 3*x + m + 28 = 0. Suppose 3*w - 86 = 31. What is the greatest common factor of i and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/9 + 203*t**3\/9 + 10403*t**2\/9 + 10201*t\/9.\nAnswer: t*(t + 1)*(t + 101)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/28, -0.096, 0.12, 37?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10686060.\nAnswer: 2, 3, 5, 7, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10602308654 to five decimal places.\nAnswer: 0.10602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -383, -238, 5, 2, 8 in ascending order.\nAnswer: -383, -238, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (-3 - 1)) + 2. Factor m + m**2 - 1 - 10*m**3 + m**3 + 8*m**l.\nAnswer: -(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4738 + -4374. Is 361 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 14*s - h - 6, -5*h - 22 = 2*s. Let y be (s\/3)\/(-1*4\/48). Solve -y*q - 3*u = -22, -q - 2*u = -4*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = -3*k, n + 3*k - 10 = -0. Suppose 0 = 3*p - 3*u + 1 + 2, 1 = 3*p - 2*u. Is 1116\/4*n\/p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -16. Let j(k) = -32*k + 23*k - 2 + k**2 + k**3 + w*k**2. Let v be j(-8). Let t(i) = i - 5. What is t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 7*g - 7. Let n be t(5). Suppose 5*r - 12 = n. Solve 3*d - 4*a = r, -5*d - 5 = a - 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21204*r**2 + 4*r - 5137?\nAnswer: 42408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 150cdb?\nAnswer: 150cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 + 8*q + 3. Let g = 13 - 5. Let n be z(g). Suppose -c = l + n, -3*c - 21 = -5*l + 2*l. Solve -l*h - 4 = 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432 divided by 2.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -101858 + 26?\nAnswer: -101832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-830)\/(-170) + (-2)\/(-17). Suppose 0*a = 3*l + 2*a - 32, -5*a = -p*l + 45. Is l less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*g - 8. Let w(x) be the second derivative of -x**3\/2 + 3*x**2\/2 + 2*x. Let m be w(g). Calculate the greatest common divisor of 135 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 98. Suppose 2*j - 3 = -9*k + b*k, -5*k + 2*j - 11 = 0. Let w be -3724 - (2 + k)\/(4\/(-16)). What is w rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 4*b + 7. Let z = 82 + b. Suppose 0 = u - 2*u + 91. Calculate the greatest common divisor of u and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2513\/1238 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m**2 + m + 1. Let u(i) be the second derivative of -i**4\/12 + i**3\/3 - 2*i**2 - 9*i. Let s be u(3). Let q be 1\/((s - -3)\/4). Calculate x(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**7\/1470 - 29*h**6\/2520 - h**5\/120 - h**3\/3 - 3*h + 82. Let t(n) be the third derivative of x(n). What is c in t(c) = 0?\nAnswer: -7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let j(f) = f**2 + 7*f + 1. Let m be j(-6). Put p, m, 0 in ascending order.\nAnswer: m, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (5 - 4))\/((-2)\/818) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.413881mm to centimeters.\nAnswer: 0.7413881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 s, and 1 h when three letters picked without replacement from {s: 2, h: 1, e: 2, x: 2, o: 4, k: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - t = -7*h - 28*h - 40, -5*h + t + 5 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g**(-2\/3))))*g)\/(g*(((g*g**(-47))\/g)\/g)\/g))\/(g\/(g**(19\/3)*g)*g*g)**(-33) assuming g is positive.\nAnswer: g**(-280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:17 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4817 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 6*p**2 + 2*p - 5. Let b be x(-5). Suppose 35 = 11*w - b*w. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14*x - 7. Let i(w) = 5*w - 2. Determine -4*g(d) + 11*i(d).\nAnswer: -d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 58*y - 46. Let w = 201 - 191. What are the prime factors of i(w)?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13191627 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/116090 and 35\/1786?\nAnswer: 116090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*m = -51 - 21, 44 = 4*v - 5*m. Let d = v - 11. Suppose 5*j - 2055 = d*w, -5*j - 2*w + 344 = -1697. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122*-0.5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320 + -1378. Let t be 17\/(-3)*(0 + -279). Let s = y + t. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 5, 3, -1\/18, -48.36 in ascending order.\nAnswer: -48.36, -10, -1\/18, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 67. Let h = 36.019 - a. Let g = h + -0.0190097. What is g rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 6 + y**2 - 20 + 6)*(-2*y**2 + y - y) to the form r*y**2 + g*y + o*y**3 + c + k*y**4 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 595\/21*-3 + 9. Suppose -3*s = 3*s - 510. Let z = r + s. Solve 5*c + y = -19, 2*y - 7*y = -c - z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 6294 = 3*w + 10*r, r = -w + 2096. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - i**3 + 396 - 167 - 189 - 8*i**3 + 6*i**3 - 2*i**3 + (-2*i - 4*i + 5*i)*(-4 - i**2 + 4).\nAnswer: -4*i**3 + 2*i + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 641611?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 360250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*d - 2032 - 2*d**3 + 2030 - 6*d to t + g*d**3 + c*d**2 + k*d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*m - 13 = 0, 0*q - 3*m + 17 = 4*q. Suppose q*b + 336 = -2*b. Is b at most -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 14*z + 19. Let s be n(14). Suppose -4*p + s - 3 = 0. Suppose 3*g - 123 = p*t, -105 = -3*g - 2*t - 0*t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1152 (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58275 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 497.31 - 494. What is j rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-23)*d\/(d*d**10) assuming d is positive.\nAnswer: d**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2302\/(-6942) + ((-21)\/(-9) - 2). Let y = a - -52057\/4628. Find the common denominator of 97\/6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -709 + 6*p + 1404 - 696 - 452*p**2 to the form b*p + l + f*p**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26438, -50970, -75504, -100040, -124578?\n\"Answer: -o**2 - 24529*o - 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 29*d**3 + d**2 + 3*d**3.\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 74 - 7*g**3 + (3 - 3 + 3*g**2)*(-3*g + g - 3*g))*(4 + 2*g - 4).\nAnswer: -44*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**3 + 4456*v**2 - 430530*v?\nAnswer: -18*v + 8912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 25 - 12)*(-5*a**2 + 0*a**2 + 11*a**2 + (2 - 2 + a**2)*(-4 - 2 + 3)).\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -278c6?\nAnswer: 278c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 + f**3 - 5*f**2\/2 - 4*f + 2. Let v be c(-3). Let p = -43 + v. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 858 and 69784.\nAnswer: 209352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*g + 6 = 4, -2*q = -4*g - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 704 - 702. Solve 4*g = -m + 3*m + w, -3*g + 19 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180026?\nAnswer: 2, 3, 65557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-6)\/g)\/g**(-2))\/(g**(-1\/4))**42)**(1\/45) assuming g is positive.\nAnswer: g**(13\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 3937924854.3745?\nAnswer: -3937924854.6745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3171 + -3147. Sort 2\/15, -5, x in descending order.\nAnswer: x, 2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/3, -4, -3\/2, 5\/3, -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 + 0 = 0. Calculate the highest common factor of 22 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + y + 3. Let v(x) = 19*x**2 - 3*x - 18. Let a(c) = 6*l(c) + v(c). Give a(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + q - 1 + 3 - 1 - q + 0*q + 0 + q + 0 - 2*q - q + 4*q - q + 0*q - q + (0 + 0 - q)*(0 + 6 - 4) + 2 - 2 - q.\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 19503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -439. Calculate the highest common divisor of m and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - i**2 - 2*i + 4. Suppose 6 = -30*c + 32*c. What is z(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1040 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 4*x\/7 + 30\/7.\nAnswer: -2*(x - 3)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-463*t**3 - 30 - 253*t**3 + 31)*(3 - 1 - 4) + (5*t - 2*t - 5*t)*(-t**2 + 0*t**2 - t**2) to the form o + i*t**3 + f*t**2 + c*t and give i.\nAnswer: 1436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**2 + 1658. Let q(f) = -1269*f. Determine o(q(t)).\nAnswer: -2538*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1 - 4 + 6 + 4 + (-2 + 5 - 2)*(0 + 6 - 4) - 4 + 3 - 1 + 0 + 0 - 1 + 4 + 0 - 2)*(0 + 0*j**2 - j**2 + 2).\nAnswer: -9*j**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5978, 5881, 5810, 5777, 5794?\n\"Answer: 2*t**3 + t**2 - 114*t + 6089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, b: 1, r: 1, e: 1, j: 6}. Give prob of picking 1 j and 1 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/18 and 107\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11808*r + 842870 + 774826 = 0 for r.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 3*v**2 + (3 - 3 + v)*(0*v + 2*v - v) + 21*v - 17*v**2 - 21*v + (-v**2 - v + v)*(5 - 5 - 2) as g*v**2 + q + h*v and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + d + 10 = 0, -6*z + 4*z + 10 = d. Solve -z*a - 10 = 3*v, -4*v - 5*a + 7 - 22 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 942 and 803280.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909433721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6827*l**2 + 3415*l**2 + 3403*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 8. Suppose q - 2 + 8 = -5*p, 30 = -5*q - 4*p. Let r be o(q). Suppose 11*x + 205 = r*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzkkmzxmdzkxmxyxxz. What is prob of sequence mx?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {m: 10, p: 1, c: 1, r: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999489?\nAnswer: 3, 431, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 1, h: 1, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107c3 (base 13) in base 12?\nAnswer: 174210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76968 divided by 72?\nAnswer: -1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(160))**2 + (sqrt(11) - (1 + sqrt(11) + (sqrt(11) - (0 + sqrt(11))))**2).\nAnswer: -181\/16 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**2 - 2*p - 2. Let i be n(-1). Let s be 3\/(0 + -3) - (-41)\/i. Is s at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aa7 + -12181?\nAnswer: -12c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/43 in -59, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50883728 and 11776.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o + 29. Let m = o + 53. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1169\/116733*16\/14. Is t at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**7\/70 + c**4\/24 + 5*c**2\/2 - 3. Let m(f) be the second derivative of q(f). What is the second derivative of m(o) wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -32*b**2 + 123*b + 6220. Calculate r(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7502 = -282*y - 14494 for y.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*k*m*o**5 + 2*k*m*o**4 - 7*k*m + k*o**2 - 2*k + 3*o**2 wrt o?\nAnswer: -6660*k*m*o**2 + 48*k*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11970 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58309566 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 16*w + 6. Let n be y(-12). What is the highest common factor of 135 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 50*p - 748. Let g be n(15). Solve 7*l = 4*l + g*u - 4, -2*l - 2 = -u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 10) to base 4\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*t**4 + 2661 - 2661 + 0*t**4 - t**4 + 0*t**4 + (2*t - 2*t - t**2)*(0*t**2 - 3*t**2 + t**2) + 2*t**4 - t**4 + 0*t**4.\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(4 - 1) + 3. Let p be (-36)\/16 + 4\/16. Put -5, p, w in increasing order.\nAnswer: -5, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9666, 38471, 86488, 153723, 240182?\nAnswer: 345871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - c**2 - 29*c + 2. Let h be z(6). Let b(k) = -k**3 + k**2 - k + 1. Let n(j) = -2*j**2 + 2*j - 2. Give h*b(a) + 4*n(a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 2*m - 4. Let r be (2\/4)\/((-7)\/84). Let s be g(r). Suppose 7*o = 3*y + 2*o - 45, 25 = y - 5*o. Calculate the greatest common factor of s and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f + 31. Let m be g(-12). Let c = m - -80. What is the remainder when 55 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 9*m**2 + 25*m + 61. Let b be l(-7). Let s be (-5)\/(-10)*(2 + b). Let f = -3 + 1. Which is bigger: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -16341.5 and 0.22436.\nAnswer: -16341.27564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*g + 0 + 1 + 0)*(5*g + 0*g - 4*g) to j*g**2 + w + l*g and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2435479?\nAnswer: 5\/2435479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 - 25*b**2 - 20*b**2 + 76*b**2 - 19*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 7*n + 16 = -2*n, 8*n - 19 + 19 = -50 + 18 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2, 6, -6 in decreasing order.\nAnswer: 6, 3, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.2628431413+0.01\nAnswer: -1.2528431413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-237)\/(-2370)*(-20)\/(-6) + 204\/(-558).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) 0.3 (b) -14 (c) -2\/7 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) - sqrt(108)*4)*2)\/((sqrt(4200)*-2 - sqrt(42))\/sqrt(7)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9693*r - 1608992. Give d(166).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -23. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6481863 to the nearest integer?\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2174318 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = -2. Let p be ((-2)\/4)\/(k\/12). Find v, given that -7*v**3 + 5*v**3 + 8*v**2 - 9*v + v + 0*v**p = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8545*o + 8597*o + 8591*o + 8600*o - 34332*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at least as big as -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2844, -48, 14 in increasing order.\nAnswer: -2844, -48, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 20, 2*h + 0*l = -3*l - 20. Suppose -2*f - 3*m = -6, 5 = f - 3*m - 7. Let x be f\/h*20\/(-15). Solve -x*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 6*a - 5. Let u(b) = 4*b**2 + 4*b - 8. Calculate 5*k(x) - 3*u(x).\nAnswer: -2*x**2 + 18*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0*w**2 + 2 + 3 - w**3 - 4*w**2. Calculate the remainder when s(-5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1821*o - 2. Let k(l) = 3*l. Give d(k(j)).\nAnswer: -5463*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 16 = -4*z, -7*z - 32 = -4*z - 4*c + 2*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**3\/6 + 6*n. Suppose -3*f + p = -6*f - 1, 0 = -f - 4*p - 15. Let i(z) = 6*z - 2. Calculate f*i(k) - 4*w(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 696 - 494. Suppose t - h = -4*q + 2*q, 0 = -3*t + 12. Suppose 3*u - q = -3*m, 173 = -0*m + 5*m + 3*u. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 28*m**2 + 282*m + 12. Determine y(-11).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 7*j**4\/24 - 4*j**3\/3 + 1182*j**2. Let z(i) = 2*i - 3. What is 3*n(d) - 8*z(d)?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -294?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295273*y**2 - 463*y - 294 wrt y.\nAnswer: -590546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 503072 and 1536.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -717.6 + -450605188.\nAnswer: -450605905.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 10. Suppose 0 = -2*y + 3*y - z. Suppose -12 = -3*a - u, 26 = 5*a + 2*u + y. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 21*y**2 - 27518*y + 14663. Give s(-156).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1219 and 27719?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (-1 - -10 - (1809 + -1864)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 24. Let r(g) = 13*g - 2 - 5 + 23*g**2 - 24*g**2. Is r(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*n + 8, 2*w = n + n - 4. Suppose 0 = -3*f + 4*c - 16, -2*c - w*c = -f - 16. Suppose j = 4*j. Solve j = -b - f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2458 - -1664. Let q be m\/8 + (-57)\/76. Let p = q + 172. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -45.5?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*q - 30*q - 26504*q**2 + 27615*q**2 as h*q + k + i*q**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1999 + 1963 - 2120 + 4*t**4 - 5*t**3 + 171 - t + 984 + 88*t**2 wrt t?\nAnswer: 48*t**2 - 30*t + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4 - (24 + -29)) + -80 + -10 + 20?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*c*l**6 + 533*c*l**5 + 15118*c*l**2 - c wrt l.\nAnswer: -1800*c*l**3 + 31980*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45*-27*(-14)\/42?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(-24\/13)))\/(j*j**(-2\/9)) assuming j is positive.\nAnswer: j**(242\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 - 4466514*n\/5 - 31265451\/5.\nAnswer: -3*(n + 7)*(n + 1488831)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35409593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 10*v**2 - 4*v**2 + 0*v**2 + 11*v**4 + 1 + 6*v**2 + 8*v**2 in the form c*v + z + b*v**2 + k*v**4 + j*v**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 80818596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 5*m - 28, -4 = 3*q - 8*q + 4*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.4 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.1. Let x(j) = -j**2 - j + 2. Let h be x(-3). Let f be (-2)\/6 - h\/(-60). Is k > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3 - 7) - 0. What is the closest to u in 1, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7\/30 - u**4\/4 + 5*u**2\/2 + 9*u. Let b(d) be the first derivative of c(d). Find the second derivative of b(n) wrt n.\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 - 14*h**2\/9 - 32*h\/9 - 8\/3.\nAnswer: -2*(h + 2)**2*(h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 2*a + a)*(-1 - 3 + 2) + 4*a - 5*a + 4*a + a - 3*a + a + 2*a - 11*a + 44*a to q*a + f and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2459999*v**3\/3 - 5*v**2 - 3*v. Let p be 5\/((-45)\/63 + (-6)\/21). Let b be j(p). What is b rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -65*w**2 - 9*w - 5. Determine k(-1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 8:54 AM?\nAnswer: 369","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -7, 2, -4 in decreasing order.\nAnswer: 2, -2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) 141 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngnggnngngngnng. What is prob of sequence gn?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -850 divided by 1\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 8*z**2 + 5*z - 11. Suppose 0*n = -5*n, w - 21 = 3*n. Suppose 0*a + 2*a + 3*t = w, 5*t = -2*a + 23. List the prime factors of h(a).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -130. Let j(x) = -17 + x**d - 10*x - 13 - 13*x - 19. Let v be j(25). Let h(t) = 5*t + 7. Let k(o) = -1. What is v*h(n) + 6*k(n)?\nAnswer: 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**3 + 3*c**3 + 2*c**3)*(-2*c**2 + 3*c**2 - 2*c**2) + (3*c - 2*c - 3*c)*(0*c**3 + 0*c**3 - 3*c**4).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 10 - 21 - (16 + -46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2333 - -2349. Solve -5*z = -j + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -782066, -1564132, -2346202, -3128276, -3910354, -4692436, -5474522?\nAnswer: -6256612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 83, 116, 149, 182?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 2. Let t = 0 + y. Let w be (-52)\/(-60) + t\/(-10). Which is the smallest value? (a) 4 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -29. Let h(r) = -r - 10. Let v be h(-2). Let s = v + i. Calculate the remainder when 12 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4\/13))**(-32)*(t*t\/(t\/t**(-22\/3))*t)\/(t*t*t*t\/(t**(1\/2)*t)*t))**(-18\/5) assuming t is positive.\nAnswer: t**(7251\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/6772 and -37\/1248812.\nAnswer: 2114238716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -2, 0.0695, -7, 5, 109 in descending order.\nAnswer: 109, 5, 0.0695, -1, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4820165 and 1230?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, g: 7}. What is prob of picking 3 r?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-36)*(1 + -4 - -9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 22, -202, 4, 5 in descending order.\nAnswer: 22, 5, 4, -6, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 75416, -6\/13, -5?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by (660\/(-121))\/(4\/(-22)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*n - 142*n = -15. Which is the smallest value? (a) 115 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 63*d + 27 + (-d + 2*d - 2*d)*(1 - 2 - 1).\nAnswer: 65*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 31*u. Let o(f) = 31*f - 4065. Determine o(m(h)).\nAnswer: 961*h - 4065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26+-8805565\nAnswer: -8805539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/20 + 200*m**2. Suppose -5*u + 9 = -2*t, -5*u - 4*t = -2*t - 21. Let x(z) = -3*z + 0*z - u*z. Determine w(x(h)).\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/52*260\/40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -213*h**4 - 6*h**3 - 102*h. Let x = -921 + 922. Let p(k) = -k**4 + k**3 + 2*k. Let d(v) = x*z(v) + 6*p(v). Find the second derivative of d(o) wrt o.\nAnswer: -2628*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -13, -0.01, -5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 2, u: 3, r: 5, k: 5}. What is prob of picking 2 k and 1 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j - 40. Let z = -6 + j. Solve 0 = 5*x - 19 + z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 642978*l**4 - 353808*l**3 + 3312*l**2 + 12480*l + 800.\nAnswer: 2*(21*l + 2)**2*(27*l - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/440*(-13)\/((-156)\/(-352))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -801.446 to the nearest 10.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 6:31 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191.9 + -459.6. Let h = 268 + y. Let n = 24.053 + -0.053. Is n <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 40*c = -147, 5*k - 27 - 22 = -4*c for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*w - 11 = 0, 3*w - 5 = 5*k + w. Suppose 3*q - 11 = k. What are the prime factors of 2*q + (0 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*c**3*p + 634*c**2 - 73*c*p - 3*p + 1339 wrt c.\nAnswer: 480*c*p + 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 i when four letters picked without replacement from {q: 6, i: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from {j: 3, r: 1, f: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*z - 11. Let o(w) = w**2 + w - 8. Calculate the least common multiple of o(-5) and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 3*m**2 - 7*m + 6. Let a be h(5). Suppose -4*r - a = -3*p + 5, r + 11 = 3*p. Solve p*s = 3*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1551 - -2703. What is the greatest common factor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -63 + 84 + -54.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 7047303 and -2.\nAnswer: -14094606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 3*c**3 + c - 5. Suppose -14 = -4*p - 6. Is b(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -7 - -14 - 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3330 - -16.\nAnswer: -3314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202310*q - 628*q**2 + 627*q**2 - 1 + 3.\nAnswer: -q**2 - 202310*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.864 + 17621563956.\nAnswer: 17621563957.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 + 187500*l**3 + 272*l**2 - 412577277*l.\nAnswer: -24*l**2 + 1125000*l + 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 4)*(1796*z + 2532*z - 980*z) to t + r*z and give r.\nAnswer: 10044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:16 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -21*p**2 - 11. Let j(d) = -10*d**2 - d - 4. Let o(f) = 4*g(f) - 9*j(f). Let l be 2 - (-14)\/((-2)\/1). Is o(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1376.3 - 3402591813.\nAnswer: -3402590436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7255*g + 495548 = -191284 - 7877 - 284716 for g.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**6\/6 - 7*f**5\/5 + 7*f**4\/2 - 2*f**3\/3 - 15*f**2\/2 + 9*f + 153. Factor p(o).\nAnswer: (o - 3)**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 717?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - d + 32, -d = -3*x + 4*x + 4. What is the units digit of (x\/4)\/((-9)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 5)*(g**3 - 3*g**3 - g**3 + 2*g**3 + 0*g**3 - g**3 + (g**2 - 3 + 3)*(-3*g + 8 - 8)) as l + r*g + k*g**3 + h*g**2 and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 y, and 1 j when three letters picked without replacement from {h: 2, y: 3, j: 2, q: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 12*p - 9*p + (-5 + 2 + 1)*(-p - 2*p + p) - p + 3*p - 5*p)*(-394 + 876 + 1047 - 191 + 1260) to a*p + t and give a.\nAnswer: -54558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2320 - 112. Is j a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1846714 and 366?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -430, -663, -918, -1201, -1518, -1875, -2278?\nAnswer: -2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.27989l?\nAnswer: 16279.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 50, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -46720, 107 in descending order.\nAnswer: 107, 4, -2, -46720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369370.\nAnswer: 2, 5, 43, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 1 (c) 3\/128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*n + 209*n - 2*n**3 + 4*n**3 - 10*n**3 as a*n**3 + o*n + t + f*n**2 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -1000?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4767.946 - 0.02?\nAnswer: -4767.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 239509487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 = 26. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.7. Let u = -0.2 + i. Suppose 0*k - 3*o = 2*k, -2 = 2*k + 4*o. What is the biggest value in u, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.222776 times 2?\nAnswer: -0.445552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k**3 - 5. Let x(v) = -v**3 + 1. Let j(z) = -z**3 + 19*z**2 - 16*z + 45. Let d be j(18). Let p = -86 + d. Give p*x(g) - f(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 2\/3 (c) -0.15 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u. Let j(n) = -2*n**2 - 353894. Give q(j(w)).\nAnswer: -12*w**2 - 2123364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 25*j - 140. Give g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27028, -54059, -81080, -108085, -135068, -162023, -188944?\n\"Answer: x**3 - x**2 - 27035*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381918640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115801284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -423051578*x - 559001283 with respect to x.\nAnswer: -423051578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*4*3 + -3 - 4*(sqrt(363) + 2*sqrt(363) + -1)**2.\nAnswer: -13075 + 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -6, -39?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u + 5*u + 138 = 0. Suppose 4*p = -3185 + 401. List the prime factors of u\/(-21) - p\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dd - 0?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3))**49*m**11\/(m**11\/m))**14 assuming m is positive.\nAnswer: m**(-2044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.043 (b) 0.27 (c) -3\/4 (d) 1\/9 (e) -2\/7 (f) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 153 - 153 + 3*p. Let k(s) = -14*s. Determine h(k(v)).\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u - 65*u - 80*u)*(23*u**4 + 5*u**2 - 5*u**2 + 2*u**4 - u + u + (-u**2 + 2*u**2 - 2*u**2)*(1 - 1 - 2*u**2)).\nAnswer: -4239*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 102. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -680*p**3 - 6*p**2 - 1089. Let t(g) = 673*g**3 + 7*g**2 + 1089. Let i(w) = 7*q(w) + 6*t(w). Find the first derivative of i(d) wrt d.\nAnswer: -2166*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(26\/7)\/w)\/w**(-2\/43) assuming w is positive.\nAnswer: w**(831\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 41. Let a(w) = -3*w + 5*w - 34 + f. Determine a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147321 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -420451300 to the nearest 1000000.\nAnswer: -420000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 132 = -a + 3*a, -2*f + 2*a + 86 = 0. Suppose -m = m - f. Calculate the remainder when 68 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 + 0 + -2 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssfstsetsssss. Give prob of picking 1 f and 1 t.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 f when three letters picked without replacement from foxonpo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 + -11)*((-301)\/14 + 19 - -2*1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-560)\/4906440*-162*(-11)\/2.\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -41*k + 15. Suppose -20 = 6*p - 56. Let t be f(p). Let s = t + 114. What is s rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3117 and -3?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 6 - (13290753\/1322685 + 4\/(-130))?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*f - 15 = 0, f - 9 = 4*f. Let b be (-9)\/k*2\/1. Suppose -2*h**4 + h**2 + 4*h + 0*h**3 - h**3 - b*h + h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1118555, 1118566, 1118575, 1118582?\n\"Answer: -i**2 + 14*i + 1118542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -31*m**4\/2 + 275*m**3\/8 - 53*m**2\/8 - m\/4 = 0.\nAnswer: -1\/31, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2)*1 - -3. Suppose -4*i + 2*i = 3*p + 39592, -l*i = -p - 13212. Round p to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33237 and 1086.\nAnswer: 12031794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 - -1344?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27561672 divided by -9187224\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8480 is divided by 2053.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m + m - 29*m.\nAnswer: -60*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b - 2*o + 10, 0 = -5*b - 2*o + 19. Let f be (-8)\/(-52) - (-48)\/26. Solve 4\/5*m**f + 2\/5*m + 2\/5*m**b + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20331011121 - -1?\nAnswer: 20331011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17362.\nAnswer: 2, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 2*i**2 + 3. Suppose -1 - 3 = j. Let d be p(j). Suppose -d = -3*t + 4. 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 greatest common divisor of 15138732 and 61372?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 bigger than -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*u + 1. Let o be (4\/u - -2)*-3. Let s be 1\/(9\/o)*3. Does s = 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 7124 - 434. What is the tens digit of ((-2)\/4)\/(3\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209.6 - 210. What is the nearest to v in 0.1, 2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 57 (b) -0.435 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397926 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 763435 and 56385.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5abb72 (base 14) in base 13?\nAnswer: -849807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(4\/2))\/(-2)*191\/((-10314)\/(-12096)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(3\/19))\/u*u**(2\/11)*u\/(u\/(u*(u\/((u*u**(-4\/13)*u)\/u*u))\/u))*u**(1\/11)\/u*u assuming u is positive.\nAnswer: u**(-711\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979001 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10c03 (base 16) in base 14?\nAnswer: 1b00b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-30)*30\/(-8). Let q = -7299 + 80291\/11. Which is the closest to 2\/9? (a) f (b) q (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14)*(-11102)\/(-3172))\/((-1)\/(-2))*-58\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318410225 to the power of 1\/2, to the nearest integer?\nAnswer: 17844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 3, x: 1, i: 10, j: 2}. What is prob of sequence eix?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 + 21?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 x when four letters picked without replacement from {i: 5, x: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2*(-5)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(5*p - p - 2*p)*(5 - 2 - 2) to the form a*p + x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {n: 1, d: 1, k: 1, l: 3, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -11. Suppose 12*x - 9*x + 32 = -5*x. Put x, 9, m in increasing order.\nAnswer: m, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x**3 - 19505*x**2 + 45400*x + 38940 = 0. Calculate x.\nAnswer: -2\/3, 3, 1298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 887238596 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -589 (b) -2 (c) 4 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3 + 3*y**3 - y + 7*y + y**3 + 8*y**2. Let v(s) = -10*s**3 - 24*s**2 - 19*s + 9. Let k(m) = 7*i(m) + 2*v(m). Is k(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 253 + -44?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1705\/2276 + 1\/1138. Which is the second biggest value? (a) 0.3 (b) -1 (c) f (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -16*v**2 + v. Suppose 241 = 5*q + 61. Let f = -35 + q. Determine g(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -214, 45, 243, -2 in decreasing order.\nAnswer: 243, 45, -2, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-18354)\/1672)\/(-69)*4\/(-7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 + -4150408.\nAnswer: -4150351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -20 - (-1*2 - -2). Calculate the smallest common multiple of (-15)\/r - 21\/(-4) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1041 - 1085 - 4894)*(-s + 2*s + 0*s).\nAnswer: -4938*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -105, 2 in decreasing order.\nAnswer: 6, 2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = 4*g + 25, 2*y + 5*g + 15 = 0. Let m be -29 - (1*-1 + 0). List the prime factors of m\/y - (-2)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 7, v: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.111177*-2.\nAnswer: -0.222354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -1\/3, -7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -815 (b) 2 (c) 0.3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -2\/5, 0.175, -2\/1063, -0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2460 divided by -5.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**2 - 74*j + 14. Let m be s(-7). Let v(d) = 149*d + 2. Let y be v(1). Let u = y - m. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 + -107. Solve 0 = -p*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 7540877\nAnswer: 1\/7540877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2600\/(-1040)*(-12)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/401775 and 16\/825.\nAnswer: 401775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 2*z**2 - 3*z + 2. Let b(f) = -3*f**3 - 5*f**2 + 6*f - 5. What is 2*b(w) + 5*u(w)?\nAnswer: -w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1300 divided by 47\nAnswer: 1300\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -514?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - 10) + -3 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -5*b, 2*b + 530 = -4*t. Let y = t + 214. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 121. Calculate the remainder when 55 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -275, 5, -1265 in descending order.\nAnswer: 9, 5, -275, -1265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2. Let b(t) be the second derivative of -t**5\/20 - 4*t**2 - 4*t. Let j(s) be the first derivative of b(s). What is n(j(k))?\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/30 + 4\/(-6). Let a be 1 + 2 + -2 + -1. Suppose 3*i + a*i + 13 = -2*w, 0 = -4*w - 2*i - 22. What is the closest to w in 1\/5, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + c - 15 = 0, -9*t - 6 = -7*t - 2*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iddddididdrdddddd. What is prob of sequence iiri?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 955*f - 856. What is the units digit of c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 115*r**2 + 813*r - 58. Calculate d(-7).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*s - 5, -s - 4 - 5 = 2*x. Sort -3, s, 0, 1 in increasing order.\nAnswer: -3, s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = m + 3*k - 4*k, m = 3*k + 53. Let q = -34 + m. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15701651 is divided by 19337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1236098*c**3*v**2 + 2*c**3 - 3*c**2*v**2 - 7*c*v**2 + 8216*c*v + 8745 wrt v.\nAnswer: -2472196*c**3 - 6*c**2 - 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -611987, -1223972, -1835957, -2447942?\n\"Answer: -611985*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*c + 26. Suppose -c*b = 9435 + 49863. Let m = 1087092\/55 + b. Calculate the common denominator of 111\/40 and m.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 + 6*b. Let f be a(6). Suppose -1164 + f = 15*c. What are the prime factors of (1 - 696\/(-21)) + 8\/c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*k = 294, 0 = m + 5*k + 16 - 170. Let n = -6980 - -7088. What is the greatest common divisor of n and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*((-9)\/15 - 2\/5). Let s(h) = h**3 - 8*h**2 + 5*h + 9. Let l be s(p). Let i = 6 - 12. Are i and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 302*z. Let l(w) = 15*w. What is f(l(a))?\nAnswer: 225*a**2 + 4530*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3230 = -2*y + 464. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + g = 4*s - 83, -2*s - 5*g + 101 = 0. Suppose 2 = 44*v - s*v. Put -0.2, v, 4 in ascending order.\nAnswer: -0.2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462.19302 nanoseconds to hours.\nAnswer: 0.00000000012838695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/12 and 35\/269602.\nAnswer: 1617612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -251023 and -251106 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**(3\/5))*g*g)\/(g\/(((g\/g**3)\/g*g)\/g*g)))\/((g\/(g*g\/g**(-5)))\/(g**(-3\/2)\/g)) assuming g is positive.\nAnswer: g**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + j**3 + 0*j**3 + (j - 2*j - j)*(-2*j + 7*j**2 + 2*j).\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)*v*v**5*((v*v**6\/v)\/v*v)\/(v\/(v\/(v\/(v**(-1)\/v)))) assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.098 + -2.352. Let q = w - -0.05. Let c = q - -1.4. What is the nearest to 0 in c, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 6, -2\/351, 4 in decreasing order.\nAnswer: 77, 6, 4, -2\/351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.646991 decades?\nAnswer: 1037.63892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (6 + (16 + 6 - 16))) + (-4 - -14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 35266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 + a**2)*(0 + 1 - 3) + (-2*a + 4*a - 3*a)*(751*a - 2618*a + 1054*a).\nAnswer: 811*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, l: 1, f: 3, e: 3, v: 1, d: 1}. Give prob of picking 2 c and 1 d.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 - (-4 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -7*s + 5*h + 17, 3*s = 4*h + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12558457, 12558455, 12558453, 12558451?\nAnswer: 12558449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1117810 - 0?\nAnswer: 1117810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (2 - 3)*2. Suppose -5*m - 2*f + 156 = 0, -3*m + l*m - 45 = -5*f. What is the remainder when 119 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -1 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140871678 - 3*n**2 + 140871678.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25589 + -25588.9611719. Let h = c - 0.0388. What is h rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + 928\/(-144) + 4\/9. Solve f - 1 - 8 = -c*j, 0 = 5*j - 5*f - 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*k**2 - 1114*k + 1114*k)*(5*k + 4*k - 11*k).\nAnswer: -242*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/5 + 7*c**4\/12 - c**3\/2 - c**2 - 1712*c. Let s(d) = 2*d**3 - 4*d**2 + d + 1. Give 4*q(a) + 7*s(a).\nAnswer: -2*a**3 - 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*10\/(-3)*27*3\/(-315).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 8:14 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 2960265.\nAnswer: 2960264.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(sqrt(1584) - -4*(sqrt(1584) + -1)))**2.\nAnswer: -950784 + 11520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*j = 6*j + 27, -4*y - 2*j - 20 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from skuskvkkpsssokkpsskk.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14167\/5 - 28\/(-350)*-5?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + -2 + (-15 - -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**2 - 2083 + 2083 to the form b*c + h + m*c**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*u - 102. Calculate the remainder when u is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -1 (c) 244 (d) 2\/13 (e) 0.003 (f) -1\/6 (g) 0.12\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10960*c**2 + 230*c**3 - 70*c**3 + 10960*c**2.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2831, 2823, 2813, 2801, 2787, 2771?\n\"Answer: -f**2 - 5*f + 2837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16687 - -1126976.58.\nAnswer: 1143663.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38099 + 98166 = 8*c - 53845. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 53, -50, -5 in increasing order.\nAnswer: -50, -5, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -89.01 and -1.263.\nAnswer: 112.41963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/42 and 32\/49480011.\nAnswer: 98960022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -323, -486, -649, -812?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**17\/c*c)\/c)\/(c\/(c\/((c**(-1\/9)\/c)\/c))*c)*(c**(3\/8)*c)\/c**(-5) assuming c is positive.\nAnswer: c**(1691\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192306 divided by -6?\nAnswer: -32051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2\/3 + 72*v + 217\/3 = 0?\nAnswer: -1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 1 - 1 + 0*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -34.8\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.2697 decades in months?\nAnswer: 63032.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 2554\nAnswer: 7662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2695 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**6\/15 - 7*y**5\/60 - 10*y**2. Find the third derivative of c(d) wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/60 - 3*l**2. Let w(t) be the third derivative of -t**4\/8 - 2*t**2. Give h(w(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 + 125. Let j(l) = -4*l - 17. Let b be j(c). Suppose -4*z + 2*v + 3039990 = 0, -v - b*v = -20. Round z to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = -p, -2*m + p + 11 = 2. What is the highest common factor of m and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-9.6\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -72. Suppose 304 = -2*u + m*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 50*m - 24*m - 4*u = -26, -100*m + 85*m = u - 38 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 3*m + 3*m. Let c(h) be the third derivative of h**8\/6720 + 31*h**5\/60 - 65*h**2. Let v(g) be the third derivative of c(g). What is v(j(y))?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 2 - 272*c**2 - 289*c**2 + 829*c**2 - 283*c**2.\nAnswer: 3*c**3 - 15*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1996 and 23342222?\nAnswer: 46684444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3545*t - 67338. Determine p(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**3\/4 + 9*x**2\/16 + 3*x\/8 + 16. Factor n(p).\nAnswer: 3*(p + 1)*(2*p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/99 and 37\/33962.\nAnswer: 3362238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 - 10*w + 10. Let a(x) = -x + 1. Let z(o) = 10*a(o) - r(o). Let h(t) = -7*t - 6*t - 4*t. Determine z(h(l)).\nAnswer: 1445*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Let p = -17 + 11. Let k(b) = 4*b + 7. Determine p*o(z) + k(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from kfxktffpkofkppf.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 5 + sqrt(99)\/sqrt(9)*-6)**2.\nAnswer: 20*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 390*g**2 + 460*g**2 - 7 - 897*g**2.\nAnswer: -47*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(1\/5*20). Let n(l) = 2 - 35*l - 3*l**2 + 16*l + 12*l + 6*l. Calculate n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1454*c**2 - c**3 + 676*c**2 + 778*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 4*p - 18, -p = -4*h + 580 - 595 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 4, b: 4}. What is prob of sequence gb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 952*a**3*g*k**3 - 14*a**3*k**3 + 4*a**3*k - 38*a**2*k**2 + 60*a*g*k + g*k wrt k?\nAnswer: 5712*a**3*g - 84*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7738058897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/6)\/(40\/(1360\/(-51)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - -5 - 5) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + i**3)*(157*i - 444*i + 10 - 12).\nAnswer: -287*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*f + 116*f - 11*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -132?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4626515587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*t**2 + 16*t**4 + 15*t**4 - 21*t**2 wrt t?\nAnswer: 744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 - 70 = 0. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.28 - 0.3. Let s = -0.05 + m. Let n = s + -2.93. Which is the second biggest value? (a) -4 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -7)\/((-693)\/18 + 39).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -66. Let h = 48 - n. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 62*k - 281. What is b(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 10308?\nAnswer: 92772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 0*c - 14*c**2 + 2 + 5*c**2 + 8*c. Let o be z(8). Factor -2*i**2 + 0*i - o*i**3 + i + 3*i**3.\nAnswer: i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 1 + (0 - 2 + 4)*(3 + 2 - 4))*((4 - 4 - 2)*(-p + 1 - 1) + 31*p - 37*p + 9*p + 15).\nAnswer: 30*p + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/2))**(2\/109) assuming o is positive.\nAnswer: o**(-5\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -42000 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3462*j - 57. List the prime factors of u(-3).\nAnswer: 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(45)\/(sqrt(36)\/sqrt(4)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1391*f**2 - 666*f**2 - 3 - 694*f**2 - 16*f to the form l*f**2 + m*f + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 10*c = 135, -2*w - 5*c = 3*w - 60 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1410*s + 7085. What is l(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxiw when four letters picked without replacement from ixvwr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose 8*g = g - 9184. Is (g\/k + -3)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - d**2 + 2*d**3)*(-d - d + 5*d) - 42*d**4 + 256 - 256 + 3*d + d**4 - 3*d as h*d**2 + f*d + l*d**4 + m + i*d**3 and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5875*b**3 + 4005*b**3 - 2742*b**3.\nAnswer: 7138*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -7) + (11 - 40\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*t + 3185 - 20*t - 38*t**2 + 863 + 56*t - 173 wrt t.\nAnswer: -76*t + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 9*b**2 + 10*b + 2. Let i be x(10). Solve 2*l = -i*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2 + (-5 + 2 + 2)*(1 + 1 - 4) - 1 + 2 + 0 + 0 + 3 - 2 + 4 - 2 - 1)*(4 - u - 4) as z*u + o and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6202*q**3*u**3 - 2*q**3*u + 9*q**3 + 2*q*u**3 + q + 455*u**2 wrt u?\nAnswer: -37212*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 436562 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 108109339\nAnswer: 1\/108109339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j - 27. Let s(b) = 23*b + 80. Let n(p) = -3*s(p) - 8*t(p). Let h be n(-6). Is 5 a factor of 60\/9*9\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 3295*t + 1 + 45 - 24 in the form j + y*t and give y.\nAnswer: 3295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0*a + 16. Let l be 3 - -8 - a\/4. What is the third derivative of -18*m**2 - m**5 + 20*m**2 + l*m**5 wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 231*z + 7. Let x = -315 + 317. What is the remainder when n(x) is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/210 and -8\/87?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v - 4. Suppose 0 = 2*h - 3*c + 23, c = 4*h - 0*c + 21. Let q(t) = -t - 2. Let d(r) = 6*r + 11. Let k(b) = d(b) + 5*q(b). What is h*k(a) - f(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -114*y**2. Let a(c) = 6*c + 3. Let f(h) = -87*h - 33. Let s(q) = -11*a(q) - f(q). What is s(t(v))?\nAnswer: -2394*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1011)\/(0 + -2 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0) + (-28 + 20 - (-23 + (-7 - -24)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 14) to base 16\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -312, -637, -1070, -1599, -2212?\nAnswer: -2897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 469 + 196 = 0. Suppose z = 4*h - 43. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/47765901 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 234 = -2*j, -237 = -2*t + j. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 119652*x + 3579150276.\nAnswer: (x + 59826)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56293721663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(14\/(-4))\/7)\/((-895)\/1074).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 135, 330, 599, 936?\n\"Answer: -c**3 + 46*c**2 - 16*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**3 + 4*j**2 - 4*j**2 + 15*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 2\/11 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203095 and 283257?\nAnswer: 213859035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-24)*16\/6. Let l be (-12)\/(-8) + (-2)\/x. Solve -3*j = -l*j - a + 4, 4*j + 3*a = 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -0.139561?\nAnswer: 1.860439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100061212 a multiple of 1354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-8))\/((-13)\/(-2132)). Let p(f) = -87*f + t*f + 47*f. Let z(l) be the first derivative of 7*l**3 + 3. Calculate p(z(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -4\/3, 2, -21, 171, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 45 = 12*j - 9*j, j = -5. Is 358 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 4. Suppose -4*s + 0*h = -h - 565, k*h + 430 = 3*s. Suppose 0 = q - 5*x + 1 - 5, -5*q - 5*x = -s. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2476273.\nAnswer: 2476273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 78*g**4 + 2254*g**3 + 14900*g**2 - 19024*g + 1792 = 0.\nAnswer: -16, -14, 4\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.2. Let g = 7 + -7.8. Let q = g + -3.2. What is the second smallest value in 4\/3, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 20. Suppose 3 = -h + 2*l + 4, -2*l + 4 = 0. Suppose -c*i - 4*n = -55, h = -3*i + 2*n + 38. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 68804*b**2 + 619234*b - 22. Determine z(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + v = -6, -3*m = -0*m + 5*v - 16. Suppose h + 4*z + 13 = m*z, 4*z + 41 = -5*h. Sort -15, 1, h in descending order.\nAnswer: 1, h, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -698.6 - -694.6. What is the closest to f in 0.4, -3, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 4*z**3 - 2*z**3 + (2*z - 2*z**2 - 2*z)*(6 - 6 + 7*z - 2 + 2 - 8*z + 2*z - 2 + 2 + (3*z + z - 2*z)*(-5 + 4 + 3)).\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*j + 15, -89*j - 2*i - 25 = -84*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 57*c**2. Let g(a) = 1070*a - 2. What is s(g(u))?\nAnswer: 65259300*u**2 - 243960*u + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 63\/(-18)) + (-42)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l - 101442 = -162*l. Solve 1170*i - 12 = l*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840349206?\nAnswer: 2, 3, 23, 2029829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1259186*r**3 + 1983329*r.\nAnswer: -7555116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -173*n**2 + 17*n - 1. Let w(v) = -43*v**2 + 4*v. Let i(c) = 2*b(c) - 9*w(c). Let q be i(-1). Let r = q - -4. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/48*9)\/((-279)\/5673).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76055 and 2415?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192) - -2*(sqrt(192) + -1)) - 1*((sqrt(192) + 1 + sqrt(192))**2 - sqrt(192)).\nAnswer: -771 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0277 - 359483942957.\nAnswer: -359483942956.9723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1819284796 - -131.4\nAnswer: 1819284927.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 14 + 4)*((3 - 1 - 4)*(3 - 3 - 2*v) + v - v - 2*v).\nAnswer: 62*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 11:13 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250314875?\nAnswer: 5, 59, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 10. Let c be j(-9). What are the prime factors of 603\/6 + (0 - c\/2)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igj when three letters picked without replacement from igxjxxikkiii.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = 0, -3*a + p + 63 = -a. Let g = 0 + a. Suppose 0*n - 3*n - g = -5*s, -4 = 2*s + 3*n. Calculate the lowest common multiple of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 58, 77, 88, 91, 86, 73?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 752906.149 to the nearest ten thousand.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13387?\nAnswer: 11, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -47971?\nAnswer: -47971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(3*sqrt(11)) - (sqrt(7) + (sqrt(280)\/sqrt(10))\/sqrt(4)).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olohl. Give prob of sequence hl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5928 is divided by 106?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**1*n)**35*(n\/(n**1*n))\/((n\/(n\/(n*n**4)))\/n) assuming n is positive.\nAnswer: n**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**33\/d**(-3\/19)*(d\/(d*(d**31*d)\/d))**(-30) assuming d is positive.\nAnswer: d**(18300\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2467683\/4 - -616921. Factor -9\/4*c + 2 + p*c**2.\nAnswer: (c - 8)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 7 + 4)*(-3 + 1 + 0) - 4 - 2 + 4 - 2 - 2 + 2 - 68 - 43 + 24)*(0 + 0 - i) as s*i + n and give s.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/((-6)\/8). Let k(x) be the second derivative of -13*x**3\/6 + 7*x**2\/2 - x - 9. Is k(z) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1812310 and 1220.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*r - 9 - 4*r**5 - 100*r**2 - 20*r - 7 - 28*r**4 - 76*r**3 = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-5\/8)*o*o**(-2\/9)*(o**(-1))**35)**(-7\/4) assuming o is positive.\nAnswer: o**(17059\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54.924701 - 0.923161. Let f = 58.3 + -4.3. Let d = f - m. What is d rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 513.\nAnswer: 10.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -3\/5 (c) 0.39 (d) -0.4 (e) -0.59 (f) 137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227\/574 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 167336880.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e94d (base 16) to base 2.\nAnswer: 10011110100101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 172.645 meters?\nAnswer: 0.172645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 19187*h + 2631. Is n(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -34?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/r**33*(r*r**10)\/(r\/(r\/(r\/(r*r*r**21*r*r)*r))))**19 assuming r is positive.\nAnswer: r**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r = -8*r - 112914. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 24. Let w(k) = -k**3 + 7*k**2 - 2*k + 14. Let q be w(n). Solve q*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/191949377?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 10*g + 29. Let m be i(8). Solve -2*d - d**2 - 29 - m*d + 45 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366417696.\nAnswer: 2, 3, 499, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 1564028*y\/3 + 305772948098\/3.\nAnswer: 2*(y + 391007)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 25*r**2 - 51*r - 567. Determine a(-24).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 2*u**2 - 4*u. Let x be c(3). Let g be 1\/((-2)\/12*x). Suppose -2*h + 72 = g*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 952 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(6\/39) - 2. Let r be 4\/(-3) + (-5)\/a. What are the prime factors of (4\/(-12))\/(r\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-12))\/(7175\/(-3584) + 2). Let r be 8\/8*-8*3\/(-6). Calculate the greatest common divisor of k and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 6*s + 4. Let k be n(6). Suppose -b = 5*j + 5, k*b - b = -2*j + 37. Suppose -5*w = -0*w - b. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -2\/3*i**3 + 43*i**2 + 0 - 1\/24*i**4 + 0*i. Calculate t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154593\/4 - 38648. Let g = 43 - 23. Suppose -2*m = 2*m - g. Which is the second smallest value? (a) -12 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -382057, -382123, -382189?\n\"Answer: -66*l - 381991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**7\/3780 + j**6\/540 + j**5\/180 + j**4\/108 + 4*j**3\/3 - 5*j**2. Let k(w) be the first derivative of t(w). Factor k(n).\nAnswer: 2*(n + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 4. Let j be o(7). Suppose 0 = 4*r + u - j, 2*u + 4 + 0 = 0. Solve -1 = r*x + 4*c, 5*x - 45 = 3*c + 2*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 + 113*z + 1. Let o be f(-19). Suppose 3*m + 15 = 0, 5*b + 4*m = 7*b - o. Let g be 1\/(22\/10 + -2). Solve b*k = -g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.33 (b) 0.14 (c) 3\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 3. Let q be 1*1\/(-14)*g. Let t = -0.3 - -0.1. Which is the nearest to -2\/7? (a) t (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3717419 and 50?\nAnswer: -185870950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 554 - 836. Is 11 a factor of ((-1)\/(-3))\/((-2)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 13. Let r be 3\/9 + (-20)\/6. Put v, r, 1 in decreasing order.\nAnswer: 1, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 18*w**3 + 62*w**3 + 54*w**3.\nAnswer: 102*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4606322561 + 0.46063. Round h to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*g - 133. Calculate the remainder when 164 is divided by g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021847549 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by 199\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 786 = 2*l, -4*h - 765 = -9*h + 5*l. Suppose -6*z = -0*z - h. Suppose -z - 4 = -5*s. Solve -9 = -3*c - 5*v, 5*v - 11 = c + s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.11482l to millilitres.\nAnswer: 13114.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0 + 3\/20*b**5 + 1\/2*b**4 + 0*b - 1\/70*b**7 - 1\/20*b**6 - 2*b**3 - 2*b**2. Suppose p(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -18*i + 4. Let l be d(-8). Suppose 3*o + 8 = 20. Suppose o*v + 20 - l = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 4*p**2 + 3*p - 2. Suppose 0 = 4*d - 0 - 12, 7 = 4*f - 3*d. What is the lowest common multiple of 224 and x(f)?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-5))\/(9\/30). Suppose -2 = k - 4*u, 0 = -5*u + i - 3. Suppose -22 = k*f - 96. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:57 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476332?\nAnswer: 2, 11, 13, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 3, 1\/8, -98?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 374809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 298, 474, 704?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126572.9 - -126573. Let r = 0.3 - 0.6. Let w = -1.3 - r. Which is the nearest to 0? (a) w (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by 1\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -272. Suppose 3*f = -2*f + w. Suppose 3 = 7*b - f. Is 8 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + i - 1 - i - 4*i**2 + 8*i - 8*i + (3*i**2 - 2*i**2 - 4*i**2)*(3 + 0 - 4) + 69*i + 5*i**2 + 70*i - 150*i.\nAnswer: 5*i**2 - 11*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/8 and -35\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26148 in 0.4, 101\/3, -2\/17?\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {c: 13, j: 1, f: 1, u: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -861.48 times 0.013?\nAnswer: -11.19924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5524935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*j**2 + 3*j**2 - 2)*(-103 + 103 - 8*j**3).\nAnswer: -8*j**5 + 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + o**2. Let t(a) = -a**3 + a**2 + 2. Let l be (-2)\/4*-2*(-3)\/(-1). Let d be t(l). Let c = 15 + d. Determine x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-8))\/(r\/(r\/r**(-7)))*(r**(2\/5))**(-1\/11)*r**(-1\/7)*(((r**(-2)*r*r)\/r)\/r)\/r*r\/r**(-1\/5)*r*r*r\/(r\/r**(4\/11))*r*r assuming r is positive.\nAnswer: r**(1303\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134 and -0.9.\nAnswer: -120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9858 and 2478.\nAnswer: 4071354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44703560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)\/(l\/(l\/l**(-2\/7))))\/(((l**2*l*l)\/l)\/l*l\/l**7*l))\/((l\/((l\/l**(-1))\/l))**(2\/85))**(-37\/2) assuming l is positive.\nAnswer: l**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let j(r) = -2077*r - 31. What is l(j(w))?\nAnswer: 2077*w + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4.5, -16, 1, 18.6, -4, 0.4, 2?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 4*n + 4987 + 9*n - 3*n.\nAnswer: -n + 4987","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 14765\/8759?\nAnswer: 14765\/8759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2306038*b**2 + 1503*b - 1089.\nAnswer: -4612076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**15)*v*v\/(v*v\/v**(-2\/5)*v))\/(v*(v*v**10)\/v*v**(-11)*v) assuming v is positive.\nAnswer: v**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/120 - 11*k**5\/60 - k**4\/24 + 2*k**3 - 4*k**2. List the prime factors of g(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w = 32*w - 35*w - 819 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4. Let v(u) = -u + 9. Let s(n) = -7*q(n) - 3*v(n). Let i be s(1). Suppose -15 = -5*l + 10. Solve -5 = i*h - 5*o, 3*h + 0*h = 4*o - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 0*l - 60. Let b be (-1)\/3 + 12479996\/l. What is b rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -30*f**2 - 2*f + 4. What is c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1721815768.\nAnswer: 2, 61, 3528311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*w + 4*w = 4, w - 12 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*q - 20. Let u(s) = 5*s + 3. Let h(b) be the third derivative of 11*b**4\/24 + 7*b**3\/6 - 3*b**2. What is q*h(f) - 9*u(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 138, -1\/343, 0.3, 1.\nAnswer: -1\/343, 0.3, 1, 2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 856231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 620 - 3088\/5. Let x = -46\/15 + t. Sort 0.3, -2\/9, x in decreasing order.\nAnswer: 0.3, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + -2 + sqrt(1300) + 5) + 4)**2.\nAnswer: -320*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 47 + 4 = y, 0 = -3*y + 5*n + 102. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*a + 695, -371 = -4*s - 3*a + 190. Calculate the remainder when s is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2 + sqrt(1008))*-3)**2.\nAnswer: -9108 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147765803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from ggggfgfgfofggfggf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53, 96, 209, 422, 765, 1268, 1961?\n\"Answer: 5*g**3 + 5*g**2 - 7*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 94. Suppose -5*c + 42 = -2*c. Calculate the remainder when k is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422661.\nAnswer: 3, 89, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125318420 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -2*s**4\/3 + 2*s. Let w(o) = 3*o. What is w(m(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 3\/575219?\nAnswer: 3\/575219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 111\/9 - 1\/3. Let q be 8\/j*9\/2. Solve -4*u + 0 = -4*m + 8, 5*m = -q*u - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -269619*v + 2156955. Calculate q(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00186535169 to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 1169814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 878304 and 472.\nAnswer: 51819936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 18.3. Let n = 1.1 + w. Let t(m) = -m**2 + 4*m - 1. Let a be t(3). What is the nearest to -0.1 in n, -0.4, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:00 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-162)*3)\/((-28)\/16)*126\/224.\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 108 = -30*i. Calculate the greatest common divisor of i and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6010 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**2\/h)**(1\/6))**(-49) assuming h is positive.\nAnswer: h**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.413 + -0.5. Let t = 0.013 - d. What is the second smallest value in t, -34, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3956, -3, -18 in descending order.\nAnswer: -3, -5, -18, -3956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 2. Let y be h(6). Let w = -6 + y. What is the highest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936694269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442 and 5174.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7173 by 6.\nAnswer: -2391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d + 8. Let m(q) = -3*q + 5. Let z(s) = 3*m(s) - 2*p(s). Let h = -2 - -1. Let x(g) = -7*g + 3. What is h*x(l) - 5*z(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 - 3 = 0. Suppose 30 = -2*q - 3*q. Let x = -7 - q. Put x, -3, i in ascending order.\nAnswer: -3, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d. Suppose 2*w = -185 + 355. Let z(k) = -162*k + 81*k + w*k. Give q(z(m)).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -735*l + 12 + 2 + 769*l - l**2 + 15. Is p(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2765 is divided by 650?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 1:20 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, 3, -2\/3, 1\/3, 14, 11\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o + 3*o + 2*o - 8*o + 2. Let r(j) = -3*j**2 - 7*j - 1. Let s be r(-2). Let m(x) = x. Calculate s*n(t) + m(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*l + 10143 = 195*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 7.00084. What is f rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 81, 118, 153?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6675\/594 - 3\/(-27). Let t = l + -123\/11. Factor -6 - t*b**2 - 2*b.\nAnswer: -(b + 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l**4 + 67*l**3 - 139*l**3 + 12*l + 20*l + 70*l**3 wrt l?\nAnswer: -60*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9922152?\nAnswer: 2, 3, 17, 83, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/55 and (-2)\/(-7) + -2*(-141)\/630.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 289\/3? (a) -3 (b) -2\/3 (c) -11 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.161 + -7.161. Let k = -3.8 - -0.8. Let u = k + 7. Which is the closest to -1\/4? (a) 2\/35 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*n - 4*n = 398, 4*l = -n + 537. Does 37 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rec. Give prob of sequence rc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(1\/(-6)). Let o be 2*(18\/m)\/(-3). Suppose -f + 4*z = -11, -f + 5*z + 3 = -o. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2096*d - 20877. Give j(-10).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*a = 577*a - 329*a - 980 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 2*j - j + 0*j. Let p(q) be the first derivative of -3\/2*q**2 + 0*q + 15. Give m(p(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-7)\/(105\/12). Let r be i\/(-6) + 28\/12. What is the tens digit of ((-2)\/4)\/(r\/(-150))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 2\/(-12) + 23\/(-6). Find the common denominator of 37\/6 and ((-85)\/(-34))\/((-22)\/s).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 - r + 23 + 0*r.\nAnswer: -r - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4652 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14002257 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830208 divided by 57194?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**(-1\/10))*h*h**(2\/9))\/(h**19\/(h\/(h\/(((h\/h**20)\/h)\/h*h)*h))) assuming h is positive.\nAnswer: h**(-3391\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(28 + 19*i - 28) + i - 14 + 14 + 5*i + 2 - 2)*(4 - 3 - 3).\nAnswer: -88*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/68508 and 197\/660.\nAnswer: 342540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -3591.\nAnswer: -3591.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = -5*w + 19, 3*l = 5*w - 15. Suppose 0 = w*s - s - 20. Let m = s + -9. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u + 17*u - 2*u**2 - u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = 5*i, g = 4*g + 9. Let s be (-5 - 1) + (-2 + 3 - -2). Put i, s, 2, 1 in decreasing order.\nAnswer: i, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 816\/(-11) - (6\/1794*13 - (-798)\/(-3542)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g + 11. What is v(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (17 + -9) - (27 + (30 - 101))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11225 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Suppose 0 - h = -4*l. Suppose 17*x - 110 = -9*x - 29*x. Solve 11 - l = x*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 1:38 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -199092972509 from -26.\nAnswer: 199092972483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 533*r - 4723. Let t be i(11). Is t equal to 1138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2 + 3809*d - 19070 = 0.\nAnswer: -3814, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 21*m - 9. Let t(z) = -39*z + 20. Give 4*t(d) + 7*w(d).\nAnswer: -9*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 6. Let u be c(-8). Let n(y) = -5 - 7*y - 1 + y - u*y**2 - y**3 - 2*y**2. Does 13 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 + 5*o**2 - 58*o + 88 = 0. What is o?\nAnswer: -11, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1269027 divided by -15667\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 1. Calculate r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34000049 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o - 65*o = 42 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3661, 18554, 43373, 78112, 122765, 177326?\nAnswer: 241789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 5, -5, 4 in descending order.\nAnswer: 30, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Suppose d = -4*z + 191 - 71. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77532, -155221, -232910, -310599?\nAnswer: -388288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20180934 and 432?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 132?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4*k - 4*k)*(-2*k + 0*k + k) - 1203*k**2 + 515*k**2 - 563*k**2 + 38*k - 38*k.\nAnswer: -1249*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1244260, -1244258, -1244256, -1244254, -1244252, -1244250?\n\"Answer: 2*h - 1244262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 + 12 = 4*f, f - w - 1 = 0. Suppose 0 = -p - 5*n + 3*n - f, -2*n = -3*p + 15. Solve 0 = p*r - 9 - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 30, 71, 128, 201?\n\"Answer: 8*q**2 + q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) -2\/17 (c) 220481\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6392 - 4472. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*j + 1913 = 2103. Let c = 81 + -36. What is the smallest common multiple of j and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-10))\/((-48)\/40)*24\/(-3)*-2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18274034 + -18274042.000003. Let g = q - -8. What is g rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 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: Calculate prob of sequence re when two letters picked without replacement from eer.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -278 + 9*r - 19*r + 9*r - 2*r**3 + 2*r**2 + 0*r to the form x*r + b*r**2 + z + i*r**3 and give z.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {k: 4, g: 2, b: 7, j: 2, l: 5}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 13*r**2 + 20*r - 15. Let o be d(-11). Suppose 0 = o*i - 0*i - 105. Let p(b) = -40*b + 9*b + i*b + 15*b. Let v(l) = -83*l. Determine p(v(h)).\nAnswer: 83*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5025.151 litres to millilitres.\nAnswer: 5025151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/66 - 35*r**3\/11 + 1233*r. Find x, given that s(x) = 0.\nAnswer: -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - y + 3. Suppose -36*a + 162*a + 126 = 0. Calculate m(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-23)\/2)\/((-1)\/2). Suppose -z - u = -3. Let s = 53 + z. Calculate the lowest common multiple of 6 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.5 (b) 5 (c) 52.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 12*p**2 - 18*p - 2. Let k be u(8). Calculate the greatest common factor of 1595 and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284310 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 477174312 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0062 - -3.0012. Let n = 0.005 + i. Which is the third biggest value? (a) 2\/3 (b) -7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 2*y - 1. Give j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*t + 36, -12 = -183*t - 176*t + 360*t - s for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 - 7.33. Let h = l - -7.5. What is the third biggest value in h, 4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.7 + 11.7008. What is n rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v = 5*d + 11*v + 34*v + 28, -5*d - 5*v = 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(11) + -1.\nAnswer: -2*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5630777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23205 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 842382 and 0.4?\nAnswer: 842381.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8) + (-1950)\/(-80) + -453 + 551.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 7*d**2 - 2*d - 21. Determine h(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 + 1476382*i**3 + 4429158*i**2 + 4429162*i + 1476388 = 0. Calculate i.\nAnswer: -1, 738194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 70. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143440 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1)\/(-54))\/(-2*12\/(-72))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + 865685?\nAnswer: 8656a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -29*t - 13. Let a(i) be the third derivative of 7*i**4\/24 + i**3\/2 - 30*i**2. What is 9*a(y) + 2*o(y)?\nAnswer: 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 445 - 330. What are the prime factors of c?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1433*i + 14. Let g be u(4). Let k = g + -1079. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 1:45 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/198816 and -17\/223668?\nAnswer: 1789344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 (base 7) in base 2?\nAnswer: 10000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + 4*j**2 - 5*j. Let b(n) = -n**3 + 7*n**2 - 7*n. Let x(q) = -q**3 - q. Let c(t) = -b(t) - 2*x(t). Calculate -4*c(y) - 7*f(y).\nAnswer: 2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c**2 + 297*c - 7. Let s be b(-25). What is the greatest common divisor of 212 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1.2, -0.4, 0.01, -3\/7, -189, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1234687, 2469375, 3704055, 4938727, 6173391, 7408047?\nAnswer: 8642695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + s = -5, 4*s - 2 - 1 = -3*g. Is -4 + 1 + 94*g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Let s = 9262.98 + -9263. Which is the second smallest value? (a) 1 (b) -0.4 (c) s (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*w - 300 - 122 = 0, 4*a + 5*w = 573. Suppose 12*u = 14*u - a. What is m in -45*m**3 + 11 - 15*m**2 + 111*m + 9 - u*m = 0?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13144917 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2\/7 (b) -4 (c) -138 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, o: 1, a: 2}. What is prob of sequence ow?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, 728, 1482, 2236, 2990?\n\"Answer: 754*g - 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 7, -5, -20.\nAnswer: -20, -5, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100110 (base 3) to base 4\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716548602?\nAnswer: 2, 929, 923869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 607260 and 101210.\nAnswer: 607260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0 - 2\/15*b + 2\/15*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8712 divided by -6\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306, 578, 1030, 1662?\nAnswer: 2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853131 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23739 - -94959\/4. Let v(t) = -t**2 + 5*t + 1. Let w be v(5). Let o = w - -1. Is n > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 0 + 4\/5*v - 2\/5*v**3 + 2\/5*v**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186208470907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 + 137.887. Let y = -0.087 + w. Which is the closest to 1? (a) -5 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 - (47 + -33) - 126?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 220000221022?\nAnswer: 220000221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13*q + 22. Let a be r(4). Let d = 38 + a. Let y(w) = -w**3 + 7*w**2 + 10*w - 11. Determine y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2175072 and 59169.\nAnswer: 263183712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 5.6. Let g = -4.8 - n. Is 2 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 869 - 67 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 - 16. Let j(m) = 4*m**2 - 12. Let d(u) = 3*u**2 - 10. Let i(n) = -6*d(n) + 5*j(n). What is w(i(c))?\nAnswer: -12*c**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.8 + -0.8. Let g = u + -18. Let v = 13 + g. Which is bigger: v or 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7489052?\nAnswer: 2, 43, 43541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 12 - 4 = 0, 5*s = j + 52. Let a be 6\/(-21) + 72\/7. Calculate the greatest common divisor of a and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 43. Calculate v(-9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.45 rounded to 0 dps?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**5\/7 + 12*d**4\/7 - 12*d**3\/7 - 48*d**2\/7 = 0.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8734*f*j*p**2 + 255*f*p**2 + 21*f*p + 15*f + 3*j*p**2 - j + 2*p**2 - 5 wrt j?\nAnswer: -8734*f*p**2 + 3*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a - 9. What are the prime factors of d(7)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + a**2 + 349*a + 423*a + 3*a**2.\nAnswer: -a**2 + 772*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002732 to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -155, -329, -597, -953, -1391?\n\"Answer: a**3 - 53*a**2 - 22*a - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 2 + 3)*(51*s**2 - 161*s + 161*s) + 45 - 45 - 24*s**2 as n + z*s + b*s**2 and give b.\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 86 - 46 - 49 + g**3 + 6*g**2 in the form j*g + d + k*g**2 + f*g**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 1. Let b be r(3). Suppose 0*z = -4*z. Solve z*l + 2*l = b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1281 or 1279?\nAnswer: 1281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avv when three letters picked without replacement from {v: 13, a: 6}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0061357 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*78\/(-598)*-15.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w - 172. Let s(y) = -3*y - 173. Determine 4*b(g) - 5*s(g).\nAnswer: -g + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-10677\nAnswer: -4270.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 27\/(-78). Let s = 95639\/8082 - 1\/4041. Let w = s + -12. Which is the third smallest value? (a) i (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27741844 and 24440?\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/14 - (-67175075)\/2975.\nAnswer: 3, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 - s**4\/6 + s**3\/2 - s**2 - 136*s. Let r(n) = -n**3 - 20*n**2 - 36*n - 3. Let z be r(-18). Give l(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152983909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 - (-57 + -52 + 161)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x + 1732*x**2 - 9*x - 3 - 2*x. Let o be f(-3). Suppose 3*w + o = w. Round w to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86698 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -5*p**4\/8 - 9*p**3\/2 + 2733*p**2. Give n(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 149*x**3 - 1 + 3*x + 1 + 148*x**3. Determine k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + 4 - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*h + 11, -25 = -3*w - 2*h. Suppose -13*t = -8*t - 25. Suppose -2*f + f = -3, t*s = f + 2. Calculate the smallest common multiple of s and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -182930, -183101, -183272, -183443?\n\"Answer: -171*y - 182759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*s**2 - 71*s**2 + 127*s**2 - 30*s**4 - 77*s**4 + 1 in the form r*s + q*s**4 + n + j*s**2 + m*s**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 17208?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/26*7\/(140\/16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2690991 is divided by 22805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*b = 7, b = 5*d - 3*b - 35. Find the first derivative of 13 - 13*h**2 + d - 11*h**2 + 3*h**2 wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -11 (c) -0.1 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1430911307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -4*s**3\/3 - 1. Let y(w) = 7*w + 2. Let u(l) = -2. Let z = 277 + -278. Let c(a) = z*u(a) - y(a). Calculate b(c(f)).\nAnswer: -196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 6*z - 68. Let y(s) = s + 11. Let u be y(z). Suppose -15*t + 4*f = -14*t - 52, 0 = -4*f + 4. Calculate the greatest common divisor of u and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 416.22237ms?\nAnswer: 0.000115617325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -5, 1\/5, 43, 31, 11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 566*g. Let i(r) be the second derivative of -r**4\/4 + 234*r. Determine x(i(s)).\nAnswer: -1698*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -188710\/67 bigger than -2816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Find the second derivative of r**2 + 2*r + 0*r**2 - 3*r**2 - r**w wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 8:42 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**2\/4 + 20306*i + 3815319\/4 = 0.\nAnswer: -81177, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35179867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -5.2. What is the nearest to -3\/2 in -5, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10066656 divided by 1.\nAnswer: 10066656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**2 - 13*j**2 - 6*j**2 - 6 + 57*j**2 + 8*j + 467*j**3 wrt j.\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78969507.\nAnswer: 3, 37, 711437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - f - 6 + 37*f**2 + 2*f.\nAnswer: 37*f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u + 3*t, 3*u - u + 5*t + 17 = 0. Suppose 0*a - 5*z - 1024 = -u*a, 0 = 4*a + z - 1000. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + c + c)*(-4 + 6 + 3)*(-2 + 2 - c) to the form b + d*c + t*c**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) -26 (c) 4 (d) -4 (e) -10.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**3 - 125*g**2 + 534*g - 80. Determine i(15).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbw when three letters picked without replacement from bbwvvyyw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, u: 2}. What is prob of sequence uhu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 873, 3420, 7659, 13602, 21261, 30648, 41775?\n\"Answer: 2*n**3 + 834*n**2 + 31*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -57. Let v be 6\/(-4)*(13 + t). Let r(f) = -f**2 - 5*f - 2. What is r(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41755 divided by -35?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*h - 73*h = 3936. Calculate the remainder when 294 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (14 + (-100)\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23507 and 264?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 105?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-8)\/6)\/(52\/(-39)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/26837 and -19\/10?\nAnswer: 268370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 + 127.5. Let v = 2 + -1.6. Which is the closest to -2? (a) h (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - k**2 + 3*k**2. Let r(f) = 3*f**2 + 7*f. Let z(j) = 2*j**2 + 4*j. Suppose 0 = -4*w + 21 + 7. Let v(a) = w*z(a) - 4*r(a). Give v(s(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20205 is divided by 3366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1317*c = -1317*c + 2*q - 66, 91*c + q + 215 = 2*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2045*h + 7117*h - 4998*h.\nAnswer: 74*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2284.4 + 1956.5. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 6*m**4 - 7*m + 6*m)*(-6*m - 31*m - 6*m).\nAnswer: 215*m**5 + 43*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o - 11. Let d be w(-5). Suppose -464 + 1788 = d*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -150?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 4*n + 5. Let q(a) = 2458*a**2 - 22*a + 30. What is -q(o) + 6*z(o)?\nAnswer: -2464*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -18 + 13 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2111645*j**4 + j**3 - 703*j**2 + 15508*j.\nAnswer: -50679480*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + i + 0*i)*(-1 - 1 + 6)*(13 - 170 - 43) to the form t*i + h and give t.\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 111 - 5*s - 111. Let a(v) = -8*v + 5*v + v. What is f(a(i))?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - s - 6*s to b*s + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23157389 is divided by 1294?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjpj when four letters picked without replacement from yycuscccjpjs.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppupcujpjjjjpcww. Give prob of sequence ccw.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4088406, -4088408, -4088410?\n\"Answer: -2*d - 4088404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(88)*2 + sqrt(88))*-1)\/(sqrt(800) - (sqrt(800) + sqrt(800)*2)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -0.3, 1\/73, 5140, -4, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 759*a**5 - 540439*a**3 + 0*a + 778*a**2 + 540439*a**3 + a wrt a.\nAnswer: 45540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 3. Let f = -5 - -3. Suppose 2*b + 4 = 4*h, -3*b = 4*h + 29 - 13. Let n(t) = -1. Give f*n(p) + h*v(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o + 2. Let r(y) = -y**3 - 6*y**2 - 20*y - 8. Determine r(i) + 5*u(i).\nAnswer: -i**3 - i**2 - 15*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/16 + 10\/(-4). Let q(h) = -2*h**2 - 2*h. Let d(g) = -2*g**2 - g. Suppose -2 = -r - 4*o, -3*r + 2*o = 6*o - 6. Give r*q(c) + s*d(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 a when three letters picked without replacement from zsdsaszs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25631380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 3*u - 12, 8 = 5*j + 2*u. Suppose j = -2*a - 3*a - 135. Put a, 3, -2 in descending order.\nAnswer: 3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106295046 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 1. Suppose -4*j = j - 45. Calculate the lowest common multiple of x(5) and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by -4.\nAnswer: 77\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29368*q - 103779.\nAnswer: -29368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5080049 (base 11) to base 3\nAnswer: -121212222100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74397 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 111*b**2 + 6*b. Let u(o) = -37*o**2 - 2*o. What is 8*u(w) + 3*v(w)?\nAnswer: 37*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**3 - 846 + 399 + 404 + 399 + 401 - 757.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*o = -12769 + 52262 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110101101110 - -101010?\nAnswer: 11110110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 9. Let b(w) = -1735*w + 17. Calculate b(v) + 2*o(v).\nAnswer: -1739*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 58*d - 2. Let p(q) = q**2. Give p(u(y)).\nAnswer: 3364*y**2 - 232*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 8:49 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 - 6*u - 4. Let p be q(-4). Suppose 0*x - s = 2*x - 59, 4*s = -4*x + p. Suppose -3*d + d = -32. What is the remainder when x is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 2*z**2 + z - 26. Let d be n(0). Let p = -20 - d. Suppose -u = 3 - p. Solve -u*l = -5 - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -0.4, 0.18, -1\/8, 0.1, -0.63?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*l + 420*l + 11946 = -68*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12573)\/6096*(-20)\/(-15)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4\/7 - 34*r**3\/7 - 158*r**2\/7 - 18*r = 0.\nAnswer: -9, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2\/69, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.3 - 8. Let x = 2.06 + -0.06. Let z = x + -2. What is the nearest to -1 in 2, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 577, -1, -168, -3, 1, 120, 3 in descending order.\nAnswer: 577, 120, 3, 1, -1, -3, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1037 or -109?\nAnswer: 1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25099 - -1b3?\nAnswer: -24bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -20. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14645 = -345*o + 15680. Factor 0*g**o + 0 - 3*g**2 + 0*g + 3\/4*g**4.\nAnswer: 3*g**2*(g - 2)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596518*q + 57*q**3 + 4 + 596518*q.\nAnswer: 57*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 14*v**2 - v - 14. Let t be y(-14). Which is greater: 3\/10 or t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoooooooooy. What is prob of picking 1 o and 2 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 15*s**2 + 12*s + 5. Let a be r(-14). Suppose 12*n = 15 + a. Solve -4*t = n - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 49*y + 128. Let g be l(51). Solve 8*q - 90 = g*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h**2 - 6*h**2 + h**2 + 36*h + 65*h - 11*h to s*h**2 + u*h + f and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8537 - 4.\nAnswer: -8541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.8 - 18.6. Which is the nearest to -2\/57? (a) 0.1 (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -937 - -957. Solve 5*x - 27 = m, -11*x - u = -13*x + 5*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -81. Let o(v) = -27 + v**3 - 6*v + 0*v**2 - 5*v**2 - 2*v**2 - 2*v**2 + 7*v**2. Calculate the remainder when t is divided by o(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by 53574.\nAnswer: -50\/26787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 248\/(-217) - (-533)\/56 and (-4)\/6 - (-146)\/66.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352*u - 317*u - 299*u)*(-3 + 4 + 0 + (0 + 2 - 3)*(2 - 1 - 2) - 6 + 0 - 2).\nAnswer: 1584*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = j, 6 = 3*z - 0*j + j. Suppose 35*r + 433 = -162. Let p = z - r. Calculate the smallest common multiple of 16 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4045074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = -2*k, -u - u = -4*k + 36. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + -31?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + m - 33 = 0, -2*i + 4*m - 2 = 20. Let r(d) = -d**2 - 11*d + 1. Let p be r(i). Let u = 0 + 3. Solve -2*l - p = -u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 3*v**2 - 10*v.\nAnswer: v*(v - 5)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 2. Let a(p) = -13*p**2 - 9. Let u(j) = -2*a(j) + 9*z(j). Let b(o) = -2*o**2. What is 6*b(y) - 14*u(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54019448 to the power of 1\/2, to the nearest integer?\nAnswer: 7350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1000111100101011?\nAnswer: 1000111100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 50*y**2 - 252*y - 3. Give o(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 109. Determine x(0).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(((-36)\/6)\/(-6)). Suppose -5*a - 21 = -4*j + 11, 3*j + a - 5 = i. Let m(w) = w - 4. What is m(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 971*r + 107294\/5.\nAnswer: -(r - 22)*(r + 4877)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -4 - (-65 - -64). Let k(t) be the second derivative of -u*t + 2\/5*t**5 + 0 + 0*t**3 + 2*t**2 + 0*t**4. Find the first derivative of k(h) wrt h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5782157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -0.4 (c) 26 (d) -0.08 (e) -1\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 29*v - 28*v - 6*q, q - 2 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (84\/(-10))\/(9\/30). Let m be 7\/s + 46\/(-8). Let d be 4*(1 - (-9)\/m). Is d > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.05 (c) -3\/292 (d) 1 (e) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6*(2 + 0 + -3) is divided by 5 + (14\/(-28))\/((-2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/42 and 31\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*z - 16926\/5*z**3 - 16562\/5*z**2 - 2\/5*z**5 - 366\/5*z**4.\nAnswer: -2*z**2*(z + 1)*(z + 91)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/((-36)\/15 + 2). Suppose g + 12 = 3*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, -16, -44, -4 in increasing order.\nAnswer: -44, -16, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlcngme. Give prob of picking 1 l and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 8\/3*t**3 + 0*t + 0*t**5 + 11*t**2 + 0*t**4 + 0*t**6 + 37\/210*t**7 + 0. What is the first derivative of g(j) wrt j?\nAnswer: 148*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006182859 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*h**3 - 4321*a**2*z**3 - a*h*z**3 - 112*a*h*z**2 - 4*a*z**3 + h**3 - 2 wrt a.\nAnswer: 4*h**3 - 8642*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10514910\/29 or -362584?\nAnswer: -362584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(-1*sqrt(11)*1 + (sqrt(1100) - (sqrt(1100) + 0)))**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 5, -38, -99, -178, -275, -390?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 10*c**2 - 133*c - 166. What are the prime factors of w(36)?\nAnswer: 2, 7, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g - 16. Let p be d(-5). Suppose -k = -35 + 10. What is the units digit of p\/(-10) + 135\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1656*r - 102650 + 225194 = 0 for r.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*n**2 + 412*n + 104.\nAnswer: -4*(n - 26)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/15 + (-2)\/5. Let h = 1630 - 859. Let p = h - 770.8. Does s = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149059 is divided by 7087?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(15)\/sqrt(3))**2 + (1*sqrt(50))\/sqrt(10) + ((sqrt(450) + sqrt(450)*3)\/sqrt(10))**2.\nAnswer: 9*sqrt(5) + 741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.03 - 0.03. Let l be 39\/1053*306\/(-34). Let x = 18 - 25. Which is the nearest to l? (a) 0.3 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -13*a**5\/20 + 13*a**3\/6 - 15*a**2\/2 + 4*a. Let j(y) = -7*y**3 + 7*y - 8. Give -6*d(s) + 11*j(s).\nAnswer: s**3 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 94*i - 5579. Let x be n(68). Solve x*f - 814*f + 2*y - 11 = 0, -2*y = -3*f - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 7223 + 7235 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 58*q + 402. Let o be v(-50). Solve o = c - 3*z, -2*z + 3 = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3562305472.\nAnswer: 2, 11, 223, 22691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41923602 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3549, -3547, -3545, -3543, -3541, -3539?\nAnswer: -3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1425 = 2*q. Suppose -5*i + q = s - 4*s, 0 = 2*s + 4*i + 168. Is ((-23076)\/s)\/(4\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from wlwlwwl.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 716 - 487. Let h = q - 158. Factor h*l**3 + 3*l**5 - 10*l**4 - 69*l**3 + 5*l**5.\nAnswer: 2*l**3*(l - 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -36 (c) -5\/9 (d) 2\/3 (e) 1\/14 (f) 75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 - 5*f - 8. Let c be d(-4). Let p = -18 - c. Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x**(2\/5)\/x))\/(x\/x**(-2\/5))*x**(-3\/8)*(x\/(x\/((x**(-4)\/x*x)\/x)*x))\/x assuming x is positive.\nAnswer: x**(-207\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 8*p**2 + p - 4. Let w be o(8). Suppose 0 = w*l - 4*t, 2*l + l - 4 = 2*t. Let x(q) = 4*q + 15. What are the prime factors of x(l)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/66 and -39\/2684?\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 11:53 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m + 20. Calculate the least common multiple of 16 and -6*(m + -2 - 13).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102 divided by -106?\nAnswer: -1051\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Suppose -p + 4 = -4*c, 3*c - 2*p + 3 = -0*c. Let y = t + c. What is the third biggest value in -1\/3, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -5, -6, 18 in increasing order.\nAnswer: -6, -5, 18, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248 divided by -416?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 50 = 2*n - 1169, -4*n + 5*m = -2313. Does 31 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2 - 2*l + 1. Let c(j) = j**2 - j. Let k(n) = 2*c(n) - f(n). Suppose -3*p + 5*p + 2 = 0. Let m be k(p). Solve a = -2*a + m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3637454 - -175?\nAnswer: -3637257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032179 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 18, 17, 16, 15?\n\"Answer: -j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*j - 12, 6 = 4*l - 2*l - j. Suppose -l = 2*k - 34. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 2. Let f be l(2). Solve -3 = -f*b + b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p + 3. Let g(f) = -f. Let m(x) = 2*x + 2. Let i be m(2). Let n(l) = i*g(l) + d(l). What is the first derivative of n(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 55 - (53 + -76 + 1 + 27)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let i(j) = j**2 - 49*j + 571. Let y be i(19). Let h(x) = 244*x. Give y*h(b) + 305*q(b).\nAnswer: -61*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:50 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 6 - 0. Let m(p) = 7*p**2 + 7*p**2 - 7*p**2 - 4 + w. Let f(c) = -c**2. Give -5*f(g) - m(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643 (base 8) in base 15?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 11117?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 5*l**2 + 2*l - 5. Let m(d) = 17*d - 8. Let g be m(8). Suppose -2*t + q + 3*q = -g, 5*q - 350 = -5*t. Let a be 2\/8 + t\/(-16). What is w(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6785*a - 146431 - 34240 = 124654 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.045 in -198, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -80?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbi when four letters picked without replacement from wgbgbbrigprggbbbbgwb?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44062 is divided by 324.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2591.\nAnswer: -4\/2591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3695, -7393, -11093, -14795?\nAnswer: -18499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378676941?\nAnswer: 3, 79, 1597793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**3 + 2*c**2 + 1. Suppose -4*k - 5 = g, 3*k = -5*g + 5*k + 41. Let y(x) = -x**2 - 2*x**2 + 2 - 3 + 10*x**3. Calculate g*s(b) + 5*y(b).\nAnswer: b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) + (-119)\/(-14). Let y(x) = -m*x**3 - 14 + 7*x**3 + 10*x + 3 - 10*x**2 + x**3. Let r be y(-11). What is the smallest value in -0.2, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 14*h - 6. What are the prime factors of u(17)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p**2 - p. Let r(q) = 7*q**3 + 15*q**2 - 3*q - 1. Give -r(o) + 3*w(o).\nAnswer: -4*o**3 - 12*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - -28. Let b = d + -119.9978. What is b rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8608*w - 154932. Give q(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + (sqrt(325) - -3*-2*sqrt(325)) + 5*(sqrt(325) + -2 + -5)))**2*-1 + 3.\nAnswer: -10401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*(14\/(-2) - -2). Suppose -126 + w = -4*m + v, -5*m = 4*v - 98. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 25. Let p be i(-7). Let a(v) = 73*v + 8 + 64*v - 133*v. Let m(x) = x + 3. What is p*a(c) + 8*m(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681 smaller than 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 99. Solve -2*v - 5 = -s, -2*v + 4*s = s - g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/36395040 and -43\/6369132.\nAnswer: 254765280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 3. Let l = 24 + -19. Suppose n + l = 0, -3*d + 4*n + 13 = -7. Calculate i(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 131879?\nAnswer: -3\/131879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.9 + 1.9. Sort 1\/5, y, -2 in increasing order.\nAnswer: y, -2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 11:33 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most as big as 156.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2805 - -2808. What is the second biggest value in -2, i, 1\/5, -426?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 13*k - 109. Determine y(0).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*u - 24 - 80, -5*u + 2*q = 274. List the prime factors of 100*(1 - u\/10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 + 7*w + 2*w - 5*w + 2*w + 41.\nAnswer: 6*w + 561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b + 4*b - 5*b)*(-3 - 2*b**3 + b**3 + 4*b**3) - 2*b + 2*b + 5*b**4 in the form x*b**3 + y + d*b**4 + h*b + i*b**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 62.44834?\nAnswer: -24.979336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56684.88 millennia to years.\nAnswer: 56684880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20225 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131099 - -0.12.\nAnswer: -131098.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17433297 is divided by 34797.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645290\/100 + (-1)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-15)\/(k*k\/(k\/(k\/(k*k*k\/(k**24*k)*k*k)))*k) assuming k is positive.\nAnswer: k**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 q when three letters picked without replacement from {q: 7, u: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 470400 divided by 400?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5477690 and 23\/55.\nAnswer: 60254590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-15) - (3 + 0 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3\/7 - 5\/7*x - 2\/7*x**2 = 0.\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -37. List the prime factors of (g + 10)\/((-6)\/(-9)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006187 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 25746 - 3366. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055769471 rounded to 5 decimal places?\nAnswer: 0.05577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818104 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4206, 4204, 4202, 4200, 4198?\n\"Answer: -2*m + 4208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -142?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 694 + -693.91922. What is u rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -40. Calculate the greatest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 36521*q. Let a be i(-1). Suppose 2*d = 5*h + 257595, 2*h + 27193 + 75854 = -d. Let p = a - h. What is p rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -261, -272, -283?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -5605, -4027?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1114070 divided by 1\nAnswer: 1114070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 11266*l = -11265*l - 26, l + 109 = -4*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 + 2*i - 1. Let w(l) = 1295*l**3 - 5*l**2 - 8*l + 15. Let j(x) = 4*r(x) + w(x). What is the third derivative of j(p) wrt p?\nAnswer: 7866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600, -588, -562, -516, -444, -340?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -2 + (23 - 21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.61 and -2.09?\nAnswer: -1.2749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyy when three letters picked without replacement from eyeeeeyeeeee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 4, 20, -2\/95 in increasing order.\nAnswer: -2\/95, 1\/7, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-three quarters of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 7*g + 5. Let x be n(7). Suppose -v - 674 = -x*o + v, 0 = -3*v - 6. Which is smaller: 135 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**3 - 2495*z**2 + 7550*z + 10040 = 0.\nAnswer: -502, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25669957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/6*3\/2. Let j be (1 + d)*(1 + -2). Calculate the least common multiple of 2 and (-24)\/10*20\/j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10338621.\nAnswer: 3, 1367, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 divided by -525?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - k**2 - 7*k. Let d be f(3). Are d and -1257\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 990 divide 383616090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114862\/7 + 16414. Let 4\/7 - 40\/7*i**2 - a*i = 0. Calculate i.\nAnswer: -1, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/307 + -632\/2763. Let a = -295 - -295.3. What is the fourth smallest value in -0.2, j, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 (base 10) to base 15\nAnswer: be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3512, 3441, 3370, 3299, 3228, 3157?\n\"Answer: -71*g + 3583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208.225 + 152.44. Let i = 56 + g. What is i rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**5\/20 + 4*h**4\/3 + 14*h**3\/3 - 2*h**2 - 2917*h - 2. Calculate v(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = 9. Sort r, 2, -4 in descending order.\nAnswer: 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose q = j + j - 8. Suppose -j*k = -142 - 10. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-18))**39)**(-3\/16) assuming q is positive.\nAnswer: q**(-2223\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 14 - 40. Suppose -5*r + 90 = 25. Let x be 4\/(-18) + 20\/9. Solve x*q - s*q - 18 = -2*w, -3*q = -w + r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303c (base 14) to base 15.\nAnswer: 26c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, g: 3, q: 2}. What is prob of picking 1 p and 1 q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007290780529 rounded to 6 dps?\nAnswer: 0.000729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 11341?\nAnswer: 3\/11341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1367? (a) 1\/7 (b) 0.2 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1*-3)\/(474\/158)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 10*t + 192 = 0. Which is smaller: 49 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 0.1, -28, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164316 - -164326.00068. Let y = x - 10. What is y rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in 2\/5, 7, 23\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -26*f**2. Let a(o) = -11*o**2. Give a(x(h)).\nAnswer: -7436*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -119445\nAnswer: 1\/119445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s + 2*s + (-3 + 0 + 0)*(4*s + 4 - 4))*(s - s - 2*s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 + 7*r**2. Let f(a) = 16*a**3 + 36*a**2. Let l(s) = 2*f(s) - 11*u(s). Find the third derivative of l(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**0\/s)\/s)**(-17))**(-49))**(-3\/19) assuming s is positive.\nAnswer: s**(2499\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6612 and 34590678.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 12. Suppose -m + 1896 = 3*n, z = -5*n + 3*m + m + 3143. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*u + 4*f = -2, f - 1 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 233*k**5\/12 + 193*k**3\/3 + 732*k**2. Differentiate z(r) with respect to r.\nAnswer: 2330*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c69382 (base 15) to base 13.\nAnswer: 1c5a1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 36 - 13 - 15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002712991 rounded to 5 decimal places?\nAnswer: -0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2 + 132*b - 405 = 0.\nAnswer: -135, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 528507773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 + -65. Suppose -190 = -2*y - a. Suppose -4*n = -5*t + y - 16, -n = -4*t + 17. What is n rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -15, -11 in ascending order.\nAnswer: -81, -15, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.8. Let j = f + 0.01. Let o = -0.6 + j. What is o rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541 (base 16) to base 5.\nAnswer: 20340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 2*f, 0 = -5*q + 4*f + f. Suppose 2*s = -0*s - q*x + 76, -38 = -s - 4*x. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = 5*s - 589. Suppose -a - 3*a = s. Let f = 191 + -191. Is f > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 540415575 divided by 45?\nAnswer: 12009235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 102000001210 (base 3) to base 6\nAnswer: 4350333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 4 (c) -10 (d) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(102) - (1*sqrt(102) - sqrt(102)) - sqrt(102))\/sqrt(6) + sqrt(17)) + 2*sqrt(17)*1 + 1.\nAnswer: -4*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - d + 104, 3*f + 2*d - 3*d = 292. Is 4 a factor of (6\/9)\/(6\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.2. Let w = 10 + 1. Let l = w + -20. What is the smallest value in 1, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360112095.\nAnswer: 5, 8087, 33637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v + 15 = -k, 3*k - 4*v - 20 = 0. Suppose k = m + 16. What are the prime factors of (130\/4)\/((-8 - -4)\/m)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -2 - (0 + -20). Suppose 16*d = b*d - 4. What is the third smallest value in -1, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17865 times 4?\nAnswer: -0.7146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 75534.\nAnswer: 75534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 7*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. What is the remainder when 44 is divided by 32\/(0 + l) - 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -0.2, 24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*x = s - 72, -2*s + 5*x = -25. What is the highest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-70))\/(-1)*-5*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**5 - 182*k**4 + 2589*k**2 wrt k.\nAnswer: -300*k**2 - 4368*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313162 + 3349.\nAnswer: -309813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162) + -2 - (sqrt(162) + 0 + -1 - sqrt(162) - sqrt(162)) - (-1 + -2 + -2*sqrt(162)*-4))**2.\nAnswer: -108*sqrt(2) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -262, -714, -1526, -2818, -4710, -7322?\nAnswer: -10774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7851, -6726, -5621, -4536, -3471, -2426?\n\"Answer: -10*v**2 + 1155*v - 8996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.23 - 0.59. Let m = -3\/74 + -133\/370. What is the second smallest value in -6\/5, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 993 and -25002 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 92.4257853719.\nAnswer: 96.4257853719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3\/4, 3.\nAnswer: -8, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4556 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7133*d**3 + 2*d**2 + 10*d - 746?\nAnswer: -42798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:21 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/330 - 0 - (-8)\/44. What is the nearest to -0.1 in 3, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12850 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqdddqqqdqdqq. What is prob of sequence qq?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -51*y + 123. What is r(12)?\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 13437913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*s - 54, -4*p + 5*p - 30 = -3*s. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -25.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 12606964 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u - 155 = -5*y, -u = -2*y + 75. Let x = u - -55. Let c be ((-10)\/3)\/(2\/3). Sort -1, x, c in ascending order.\nAnswer: x, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-4 - (-2)\/2). Let t(j) = -n - 5*j - 4 + 1. Is t(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 6*m + 7*m + m**2. Let g(w) = -w. Give g(k(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 306867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5141 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 3, k: 1}. Give prob of sequence ckv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 75*d**4\/4 - 9*d**2. Let r be a(-6). What is r rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -17. Let z(p) = -p**3 - 9*p**2 + 13*p + 34. Let a be z(k). Solve 4 - 12 = a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(130\/(-4))\/(-5). Suppose 5*h + 2*i + r = 0, -10*h + 8*h = -i + 7. Let l be -1 + -18*4\/(-8) + h. Solve -a - 3 + l = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 165655165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66, -159, -260, -369?\n\"Answer: -4*v**2 - 81*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s**3 + 44*s**2. Let u(x) = -x**3 + 3*x**2. Calculate -6*a(m) + 88*u(m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 4*j + 4. Let q(x) = x**3 + x - 1. Let a be q(1). Suppose 13*r - 8*r - 4*c = -a, -5*c = 2*r - 26. Calculate h(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k**3 + 13. Let b(x) = -3*x**3 + 7. Suppose 8*t - 14*t + 4 = 2*o, -2*t - 4*o = -28. What is t*i(y) + 5*b(y)?\nAnswer: -3*y**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -716 - -714. Put 2, a, 0.5, 1\/8, 0.2 in decreasing order.\nAnswer: 2, 0.5, 0.2, 1\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877481?\nAnswer: 11, 241, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 1. Suppose -28*i + 24*i = -4*s, 3*i - 6 = 5*s. What is n(i)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + 52\/(-8). Let t(k) = k**2 + 7*k - 2. Give t(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100.1 - 95.1. Put 4, b, 1 in descending order.\nAnswer: b, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlvvjuljjjjvjljujjjj. Give prob of picking 3 j.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c5 - 163a59?\nAnswer: -164051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01684953 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1385 - 1385 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(448) + 2 + sqrt(7)*4 + 2 + sqrt(7) + (((sqrt(77) - (sqrt(77) + sqrt(77) + -1*sqrt(77))) + sqrt(77))*-4)\/(sqrt(55)\/(-1*sqrt(5)))).\nAnswer: 20 + 85*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10911, 5, 17, 2, 1 in ascending order.\nAnswer: -10911, 1, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -2, -81 in ascending order.\nAnswer: -81, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691*w - 6228 = 172*w. Let b = 61\/21 - 18\/7. Sort 0, 2, w, b in increasing order.\nAnswer: 0, b, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/7))\/(o\/((o*o**(-3))\/o*o)))\/(o**(-2\/5))**(-2\/71) assuming o is positive.\nAnswer: o**(-4288\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c - 5*s, -3*s = -c. Sort c, 24, -1 in decreasing order.\nAnswer: 24, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -30?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 59*q - 85. What is d(4)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5 - 1. Suppose -3*n - 6 - 3 = 0, 23 = 2*q - 3*n. Calculate the remainder when q is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 271988218 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1077 (base 11) to base 2\nAnswer: 10110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 2*x + 12. Let w be d(-11). Suppose -t - w = 6. Find the common denominator of (t\/25)\/(6\/15) and 77\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*q - 236*q + 710*q - 207 + 66 - 242*q.\nAnswer: -3*q - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.4. Let r be (140\/77)\/(-10) + 20\/(-11). Which is the closest to 0? (a) r (b) -7\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*3*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/12 + (-25)\/(-4). Suppose -3*v + q*v + 60 = 0. Let l = v + 26. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -1\/54*h**4 + 1\/270*h**6 + 0*h**2 + 0*h**3 + 1\/180*h**5 - 1 - 116*h. Suppose m(i) = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + k)*(4 - 2 - 1)*(-251*k + 37*k + 1391*k).\nAnswer: -2354*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 2*h**3\/3 + 1082. Let p(w) = -1490*w. Determine p(k(x)).\nAnswer: -2980*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172)\/7740 - 1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2052, 8205, 18460, 32817, 51276?\nAnswer: 73837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 521 - 268. Suppose -19 + r = -3*y. Let h = -75 - y. Solve 3*f + m + 12 = 0, -2*f - m - h = 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5715 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = 8. Suppose -7*i + h*i = 0. Solve i = -3*v - 2*a - 5, 8 = -3*v - 5*a - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*h - 2080, z + 13*h - 415 = 15*h. What are the prime factors of z?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (3 - 4 - 6)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -502252 by 3.\nAnswer: -502252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 460*m**2 + 2*m + 5. Let w = -79 + 86. Suppose -4*k = -t - w, -3*k + 10*t = 11*t - 14. Is l(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1440\/(-64) - -27)*-4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 8*n**2 + 7*n + 6. Determine o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1276261734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 25*w**2 + 9 - 27*w**2)*(-2*w - 5*w + 5*w) as f*w + a*w**3 + y*w**2 + g and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d. Let j(g) = -g**2. Let c be j(d). What is the units digit of c - (-1 - (-1 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 13*i. Let h(a) = -14770*a. Calculate h(f(g)).\nAnswer: 44310*g**2 + 192010*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, -5\/6, 25.3, 2\/9, -336?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/30597460 and -73\/18358476.\nAnswer: 91792380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 7. Let q be m(7). Let j = -15 - q. Let o(i) be the first derivative of -i**4\/4 + 5*i**3\/3 + 3*i**2 + 4*i - 9. Give o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)*w)**(2\/55)\/(w\/(w**2\/w)*w)**(6\/5) assuming w is positive.\nAnswer: w**(-314\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 117548, 235262, 352976?\n\"Answer: 117714*v - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 304 = 4*h, 0 = -0*i - 2*i + 4*h + 208. Suppose -i = -2*w + t, -3*w = w + 3*t - 212. What is the least common multiple of w and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-21)*(354\/12 + -26). What is z in 0 - 104\/11*z**2 - 294\/11*z**x + 266\/11*z**4 + 16\/11*z + 116\/11*z**3 = 0?\nAnswer: -2\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500*-15.871.\nAnswer: 7935.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11302 - -1?\nAnswer: -11301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 4) to base 7.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011100101 - 101010111?\nAnswer: -10110000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -34*q - 814. Let y be u(-24). Let p(r) be the first derivative of -7\/3*r**3 - y - 3*r**2 + 0*r. Find the second derivative of p(d) wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-12))\/u**(-2\/31) assuming u is positive.\nAnswer: u**(-339\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - 5. What is v rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.061066 to three dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1516016 (base 9) to base 10.\nAnswer: -837636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 22*z**2 + 1092226074*z - 1092226072*z - 10*z**2.\nAnswer: -32*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {e: 2, l: 1, t: 2, a: 4, v: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a factor of 4983606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.381882 rounded to three decimal places?\nAnswer: -1.382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 5. What is k(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460407871.\nAnswer: 7, 11, 122027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.56048 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**14)\/i)\/i*i)**(-23\/4)\/((i\/(i**(-6\/5)*i))\/i**(2\/25)) assuming i is positive.\nAnswer: i**(-4081\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -26*s**2 - 5229*s - 5791. What is k(-200)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499 = -2*j + l, -4*j - l + 704 + 309 = 0. Let a = -177 + j. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -1. Let z = c + -17. Let p(s) = -16*s**2 - 7*s + 13. Let j(a) = -11*a**2 - 5*a + 9. Let h(i) = z*j(i) + 5*p(i). Differentiate h(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 6*x + 6. Let r be w(-2). Calculate the greatest common factor of 91 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 454 = 3*c, -4*a = 3*c - 2*c + 370. Let n = -71 - a. Suppose n*m - 19*m - 5666 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7 - 5)*(30 - 24 - 22)*(0*r - r**2 + 0*r) as p + n*r**2 + u*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(-3*l + 6*l + 0*l) - 3*l - l + l)*(-6*l**2 + l**2 + 2*l**2).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33458 times -170.3\nAnswer: -5697897.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9914 - 6293?\nAnswer: 3641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -550, 4, -0.251?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -151103112 (base 6) in base 13?\nAnswer: -8598b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4) + -2)*350\/(-105). Sort -178, 4, z in ascending order.\nAnswer: -178, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2 - 14*x - 2. Let f be b(-3). Let g(k) = k**3 + 5*k**2 + k + 8. Give g(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35932 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.5164321 rounded to one dp?\nAnswer: -61.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 61*i - 626. What is the least common multiple of 34 and x(42)?\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)\/f)**48*(f**(-1\/8))**(-32))**(-33) assuming f is positive.\nAnswer: f**6204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14318943323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*d**3 + 5368*d**2 + 190 - 66*d**3 - 5367*d**2 wrt d?\nAnswer: -141*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -79) + -11 - 2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 23*j - 21. Let b be z(7). Calculate the highest common divisor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961 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: What is the least common multiple of 3341 and 1799?\nAnswer: 23387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 + 39?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0 + 12. Let o be 2 + (1 - 3) - -2. Suppose -2*m = -p*u, 7*m - 16 = 4*m + o*u. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*2*2 + 2*-3*sqrt(147))*5)**2.\nAnswer: 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15804234*j + 206171364 wrt j.\nAnswer: 15804234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6345\/(-47) - 362\/(-3)?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 12*f + 8. Let d = -11985 + 11977. What is a(d)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5773 divided by -124?\nAnswer: -5773\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v - 6*v - v**3 - 1 - 4*v + 10*v**2. Let r be s(7). Let z = r - 70. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*s + 51*s = 280 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/7, -13, -0.02?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*i - 135, i - 5*i = 2*l + 94. Let z be i\/(-234) + (-187)\/225. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 25 = -15*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9795492.\nAnswer: 2, 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -567234124 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*o - 770 = 13*o + 32*o. What is the lowest common multiple of 445 and o?\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380953767?\nAnswer: 23, 3167, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -260*y**2 + 364 wrt y.\nAnswer: -520*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 6 - (20 + -33)) + -9 - (2 + -11).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5006628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -369, -549, -729?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3942*f + 7*y + 160 = 3945*f, -5*f - 75 = 2*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 11 = v. Let p(a) = -11*a**2 + 6. Let b(j) = 4*j**2 - 2. Let s(r) = -8*b(r) - 3*p(r). Let c(q) = -5 - 6 + q**2 + 5*q**2. What is v*s(l) - 4*c(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*o - 153*o + 18*o.\nAnswer: 147*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 27 = 3*x - 6 + 47, 6542 - 6488 = -3*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*w + 27 - 27 in the form t + r*w and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 17 + 20 + 17 + 16 - 2*c + 22 - 127.\nAnswer: -2*c - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, m: 5}. Give prob of picking 3 u.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 6 (c) 0.1 (d) -3 (e) -2 (f) 3 (g) -47\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 11 - 6 + 4 + 114*r**2.\nAnswer: 114*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379221348 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 0.4, 3, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*-5 - sqrt(99) - sqrt(99)*1*-6)\/((sqrt(441) - (sqrt(441) - -1*((-1*sqrt(441) - sqrt(441)) + sqrt(441)))) + sqrt(441)).\nAnswer: 5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (49 + -52 - (3 + 2)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 12*w**7\/7 + 17*w**3\/3 + 192. Find the third derivative of p(k) wrt k.\nAnswer: 1440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.165155nm to meters.\nAnswer: 0.000000009165155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/(78\/(-27)*(-99)\/(-132))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 14 = -5*z + 42, 0 = -2*z + 3*s + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Solve -3*m - 12 = -4*s, -l*s + 12 = -0*s + 5*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-2 + sqrt(13))**2 + -4 - (0 + sqrt(1573) + sqrt(1573)).\nAnswer: -22*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -28*n**5 + 356*n**4 - 736*n**3 - 352*n**2 + 1088*n + 320 = 0?\nAnswer: -1, -2\/7, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Suppose -4*t - 32 = -2*n, a*n + t = -3*t + 40. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-8) - 2\/8. Let d = 226 - 223. Factor m**j + 10 - 6 - d*m**2 + 8*m**2 + 8*m.\nAnswer: (m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*f - 46, -63 = -7*f + 2*f + 3*l. Suppose 1 = s - f. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t + 0 + 0*t**2 + 0*t**3 - 1\/12*t**4. Calculate r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-20))\/((-512)\/10240). Put 26, 3, o, -7 in ascending order.\nAnswer: -7, o, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) 2\/9 (d) -0.6 (e) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 + 2*u. Let n be a(-2). Let o = n + -12. Solve o = -2*z + 1 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433270.\nAnswer: 2, 5, 17, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d8f (base 16) in base 10?\nAnswer: 40335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 2*d - 19. Determine z(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01238334 rounded to four decimal places?\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2737*s**3 - 1081*s**3 + 1036*s**3.\nAnswer: 2692*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3897 - -3897. Which is the nearest to -1362? (a) -1 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 5*z - 22*z + 12*z.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 16. Let y be 2*t\/(-4)*4. Solve y*h - 3*w = 19, -2*h + w + 7 = -6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*c**3 - 76*c**3 + 50*c**3 + 4*c**3.\nAnswer: -133*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2299) + 1 + sqrt(475).\nAnswer: -3 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/285 and ((-51)\/228)\/(440\/(-160)).\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1249 + 3?\nAnswer: 2.8751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/774407 or -1?\nAnswer: -2\/774407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3864 = -4504. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390 minus 31046.39?\nAnswer: -28656.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(192) + 4)**2 + 1.\nAnswer: -192*sqrt(3) + 1745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*n + n + 3*m, -n + 3*m = 10. Solve n*f = -o - 19, 0*o + 3*o + f + 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*h - 50, 0*q - h = -q + 12. Let j(z) = -z**3 - 3*z - 11. Let g be j(-6). Let v = g - 124. Calculate the greatest common factor of v and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 20, 1, -2.\nAnswer: -2, 1, 20, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -24734, 4, -2\/5, 0.2, -11\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 712 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 43*w + 22. Let z(q) = q**3 - 5*q**2 - 3*q + 4. Let c be z(6). Let p be g(c). Solve 3 = 3*m - p*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2870*c**5*n - 296*c**3*n**2 - 2*c**2*n - 2*c*n**2 - 25046*n - 15 wrt c?\nAnswer: -172200*c**2*n - 1776*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {g: 2, x: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7700610584.\nAnswer: 2, 29, 71, 467497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -43885680 to the nearest 100000.\nAnswer: -43900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1609*c + 468*c = 19397 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r. Let p(c) = 2*c**2 - 4*c - 4259547. What is p(i(w))?\nAnswer: 8*w**2 - 8*w - 4259547","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m - 4 = 0. Let a(h) = h**3 + 3*h**2 + 2*h. Let o be a(m). Suppose 0 = 4*r - o - 20. Sort 2, r, 0 in descending order.\nAnswer: r, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-3 - sqrt(190))*6)\/(sqrt(10) - -3*sqrt(40))*6.\nAnswer: -144*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -76*i + 575. Give j(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178688, 178686, 178684, 178682, 178680?\nAnswer: 178678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 18*m - 70. Give h(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20\/7*d + 24\/7 - 20\/7*d**3 - 4\/7*d**4 - 20\/7*d**2 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (102\/5)\/((-4)\/(-20)). Let i = 78 + f. Calculate the greatest common factor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 1 - 1)*(-3*j + 2*j - 2*j)*(0*j + 2*j - 3*j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 4*p**3 - 5*p**3 + 2*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -1 + (-21 - -6 - (5 - -113)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 101*d**2 + 11*d - 21. Let i(k) = -20*k**2 - 2*k + 4. Calculate -2*f(j) - 11*i(j).\nAnswer: 18*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/133 less than 1\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f. Suppose 0 = 4*g - 119 - 53. Suppose -718 = -9*b - g. Let i(j) = 75 - b - 3*j. Determine t(i(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -19)\/(-1 + (-2 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n = -74*n + 132 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7529\/3720 + -149\/186. What is the common denominator of a and 127\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -663, -1473, -2603?\nAnswer: -4053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -32*j**2 + 4*j + 5. Let o be b(-1). Let q(s) = s**3 + 33*s**2 + 62*s + 11. Determine q(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 = 11546*b - 11575*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -17. Let w be 7\/(-5) + (-8)\/u. Which is greater: w or -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470.7878 tonnes to micrograms.\nAnswer: 470787800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/4)\/5*78\/1209*341?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93805, -187577, -281349, -375121, -468893?\nAnswer: -562665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 20*d**2 + 57*d - 9. Does 47 divide p(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 41 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + k - 663 + 229 = 0, 0 = -3*k + 15. Is t a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 25\/(-9) - 140\/630. Let n be (-2)\/9 - (-170)\/36. Let f = -4 + n. What is the closest to -0.1 in -5, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 3, 938\/15, 0.5, 0.0512?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 5 + i**3 - 22*i + 3\/2*i**2. Is u(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -162 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -424221*o**4 + 58*o**3 - 598636*o**2 + 9?\nAnswer: -10181304*o + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5776572 and 23\/326360.\nAnswer: 57765720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 12. Suppose 0 = a + 4*a + t. Sort -1\/4, 3, a in decreasing order.\nAnswer: 3, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 20*x**2 - 35*x + 16. Let m be d(-18). Find the common denominator of 57\/4 and m\/(-5)*-82*(-6)\/96.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esj when three letters picked without replacement from {j: 2, s: 7, e: 2}.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 4, 111\/4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2159215240 and 7868.\nAnswer: 7868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/60 + l**4\/3 - l**3\/2 + 29*l**2. Suppose -5*d + 5 + 10 = 3*h, 3*h - 15 = 2*d. Does 9 divide f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000891833091 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*(-78)\/49413*(3\/60*4)\/1.\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 358 - 242. Calculate the highest common factor of m and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 + 5*d**2 + 6*d**2 - 5 + 1 with respect to d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*b**2 - 5904*b + 5904*b.\nAnswer: 269*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 7*s**2 + 11*s - 6. Is 13 a factor of g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -46. Let m = 91 + g. Let s = 125.9616 - m. What is s rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/30 + 5*w**4\/12 - w**2\/2 + 23*w. Let o(k) be the first derivative of r(k). Find the second derivative of o(n) wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2966*w**2*y**3 - w*y**3 + 5*y**3 - 8*y**2 + 1939*y wrt w?\nAnswer: 5932*w*y**3 - y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6230*0.3\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = 2*u + 4*n - 10, 10 = 2*u + 5*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 7*z**2 + 2*z + 15. Let r be p(-7). Which is the second biggest value? (a) -10 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -246, -282, -342, -426?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2637, -2673, -2707, -2739?\nAnswer: -2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 2. Let y be c(4). Suppose -1306*n + 2555 - 1183 = -1240. Solve -n*a - 2*a = 2*g + 8, a + 7 = y*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddtddddtttt. Give prob of sequence dttt.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/262897 and 94\/285?\nAnswer: 74925645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 110*f + 5*t = 35*f + 45*f - 45, 12 = -4*t for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpn when three letters picked without replacement from {p: 1, x: 1, j: 2, m: 2, k: 1, n: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**22\/p**(-6)*p**(6\/7)\/p*p*p**16*p*p assuming p is positive.\nAnswer: p**(328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*h**5 - 36*h**2*y**2 + 132027*h**2*y + h*y**2 - 7667*h*y + h - 6*y**2 - 4*y + 4 wrt h.\nAnswer: -360*h**3 - 72*y**2 + 264054*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 202, 800, 1796, 3190, 4982, 7172?\n\"Answer: 199*c**2 + c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 116 + 11 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 20220?\nAnswer: 21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*u - 153, -n - 2*u + 46 = -17. Suppose 3*d - 9 = o, 5*d - n = o - 6*o. Calculate the common denominator of -47 and (86\/o)\/(2\/(-12)*14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iupyymx. What is prob of sequence uyyx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1679597 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -63.15. Let l = 5.15 - y. What is the third smallest value in -38, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -25 + 6 + 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 84 - 39 = 0. Suppose -3*c = -5*b + d, 3*b - 3*c + 1 = 4*b. Suppose 4*r - 5 = b. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 - -41. Let k = -26 + 168. Let l = u - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -259108\/5 <= -51823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. What is the remainder when (4\/3)\/(2\/15) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 9*g + 6*g + 94. What is the highest common divisor of 188 and g?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10 - (924\/220 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-57)\/(-21) - (-2)\/7 - 1. Suppose -c + y + 1 = 2*y, -4*c - a = -2*y. Suppose c = 4*f - 81 + 53. 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: Suppose -2*y = -2 - 4. Let q be (-6)\/9 - 5614\/y. Let t be 37500\/9*q\/1. What is t rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) 3 (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229 - 1408*w - 1402*w + 14*w**3 + 2810*w.\nAnswer: 14*w**3 + 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -435785 = -435783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 67*c - 28. Let z(v) = v - 1. Let q(t) = f(t) + z(t). Let s be q(18). Suppose -3*i - 82 = -s. What is i rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -738.463 + 738. Let j = -0.462973 - i. What is j rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v - 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 11*s**6\/120 + 26*s**2. What is o(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44831528.\nAnswer: 2, 7, 181, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccclclcclccccc. What is prob of picking 3 c?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54 - 23*k**2 + 30 + 29 wrt k.\nAnswer: -46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2887438.042 - -413.\nAnswer: -2887025.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200230 + -313?\nAnswer: 1133311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.119 - -67.119. Let f = -66.9999938 + j. What is f rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124\/465)\/(2\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 5:02 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 878, -246, 4\/9, 0.8?\nAnswer: 878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) 319 (c) -4 (d) 0 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u - u + 0*u + 8*u + 6*u - 11*u - u + 0*u - u + (-2*u + 4*u - u)*(-5 + 2 + 5) + 0 + 0 + 2*u + 3*u + 0*u - 2*u - u + u + u + 0*u - 2*u + 4*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -456 - -426. Let f be (-7)\/(-35) + (-84)\/z. Let g(m) = -m**3 + 3*m**2 + 6*m - 6. Let c be g(4). Solve -f*k - c*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u + 4. Suppose -g = 2*k - u - 3, 4*k - 18 = -5*g. Is 39\/1 - (0 + g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6 + 3 + 2 + 86*j - 38*j. Let r be (-2 + -1)*2\/(-6). List the prime factors of u(r).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*d = 8 + 7, -5*d = -4*i + 23. Suppose -4 = -7*h + 5*h. Let 2*s + 2*s**i - 2 + 2*s**3 - 2*s - h*s = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - c + 2*c)*(17 + 13 - 34)*(4*c - 2*c + c) to the form p*c + t + u*c**2 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - c**2 - c + 1. Let p be g(-2). Let a = p - 17. Is a > -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {o: 2, z: 1, v: 4, u: 6}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.86240814 to one decimal place.\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2914 + -2909. Factor 0*m - 8\/15*m**f - 14\/15*m**4 + 0*m**2 + 4\/15*m**3 + 0.\nAnswer: -2*m**3*(m + 2)*(4*m - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-21)*(-6)\/18?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943.9777l in millilitres?\nAnswer: 943977.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -x + 2*q, -6*x = -2*x + 4*q - 72. Let i = -54 + 70. What is the least common multiple of x and i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) 7 (c) 5 (d) 524 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -19228385502.526\nAnswer: 19228385503.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 3 - c - 1 + (-1 - 1 + 0)*(3*c - 9*c + 4*c) to the form d*c + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 0*t**2 - t**3 + 1\/4*t**4 + 0*t + 13. Suppose u(b) = 0. What is b?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198965 and 247941.\nAnswer: 16116165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 83?\nAnswer: -50\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - s. Let f(w) = -w**2 - w - 1. Determine -f(t) - i(t).\nAnswer: 3*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2 + 2. Let l = -85 - -40. Let i be (-2)\/(-3)*l\/6. Let t(k) = -15*k**2 - 5. Let b(y) = i*a(y) - 2*t(y). Let z(h) = h**2. Determine z(b(r)).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 29*b - 3. Let k(w) = w**2 - w - 1. Calculate 12*k(j) - 4*o(j).\nAnswer: 8*j**2 + 104*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2350\/(-8) - (-7)\/(-28). Let b = r + 758. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -179*x + 1112. List the prime factors of p(-27).\nAnswer: 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/2 - 17*x**4\/2 + 37*x**3\/2 - 19*x**2\/2.\nAnswer: -x**2*(x - 1)**2*(x + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180800 and 231424.\nAnswer: 5785600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(4\/324). Let z be p\/7 + 4\/(-14). Let i be (2 + z)\/(6\/(-52)). Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 96, -3, -6, 1, -2 in descending order.\nAnswer: 96, 1, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14213.963 - 67583.5.\nAnswer: -81797.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let r be (-3)\/(-4) + -2*642\/(-16). Let c = r - 77. Put y, -5, c in ascending order.\nAnswer: -5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4 + 19467*o**3 + 407481*o**2 - 19467*o - 407484 = 0.\nAnswer: -6468, -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 4:51 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 64*z**2 - 4*z + 1. Is l(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0, -1808 in decreasing order.\nAnswer: 2, 1, 0, -1808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**4 + 58. Let m(h) = 3*h**4 - 29. Let q(r) = 6*i(r) + 13*m(r). What is the first derivative of q(a) wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) -2\/47 (c) 4 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292\/(-1168)*46*2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237759 - 8*n**2 - 237759.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) -70 (b) 1\/6 (c) -94\/5 (d) 0.5 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + (2 + sqrt(147) - sqrt(147)) + sqrt(147) + ((0 + sqrt(147) - sqrt(147)) + 1 - sqrt(147)))**2 - (6*sqrt(147)*-2 - (-4 + 2*sqrt(147)))**2) + 1.\nAnswer: -57637 + 1568*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(441))\/sqrt(9))\/(1*sqrt(567)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1701*i - 10. Let r(f) = f - 11. Let j be r(11). Suppose j = y - 11 + 1. Let v be s(y). Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7663185 to the nearest integer?\nAnswer: 2768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5 + 3*d - d - 3*d + 1. Let t be z(-12). Let f(b) = -b + 8. Let s be f(t). Is -1\/5 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + 70.2. Let b = 2.8 + j. Let g = b - -12.00000175. What is g rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/13))**(-14\/5))**(2\/49))**(-1\/23) assuming u is positive.\nAnswer: u**(12\/10465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113440 is divided by 2105.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*j**3*w**2 + j**2*w - 103*w**2 wrt j.\nAnswer: -864*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49211?\nAnswer: 49211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 233745193 to the power of 1\/3, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 658466564 a multiple of 1070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173.1 + -159. Let s = 75.1 - r. What is the nearest to -1 in s, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {n: 1, a: 1, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391182670.\nAnswer: 2, 5, 103, 587, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3046.94 days in hours?\nAnswer: 73126.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 5. Let h(c) = -2*c**3 - 3*c**2 + c + 2. Suppose -8 = 4*t - 5*x, 0*t + 2*t - 3*x + 4 = 0. Let l be h(t). Calculate r(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7488) + sqrt(7488)*2)\/sqrt(4).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304323 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 nearest to -402 in -2, -1\/9, 0, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-2\/31))*w\/(w\/(w*w*w**(-7)\/w*w)*w))\/(w**(7\/2)*w**(-2\/17)\/w) assuming w is positive.\nAnswer: w**(-8903\/1054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2739402855 to the power of 1\/2, to the nearest integer?\nAnswer: 52339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1 (b) 2\/3 (c) 0.1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*h + 3 - 51, x + 4*h = 12. Let v be 2\/(-10)*x*(-2)\/(-8). Which is the smallest value? (a) -0.07 (b) 2 (c) v (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.8592 times -0.18?\nAnswer: 7.354656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((7 - (-2 + 3)) + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/21 - 23470*o**2\/21 + 9911450*o\/3 - 146417250.\nAnswer: 2*(o - 5845)**2*(o - 45)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - 5*o + 9 = 0, 0 = -o + 3. Let b = 9 + 5. Calculate the least common multiple of n and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32451?\nAnswer: 3, 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32666901 or 32666899?\nAnswer: 32666901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, l: 11}. What is prob of sequence clll?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 4 (b) -0.22 (c) -0.4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {a: 1, g: 2, b: 2, z: 1, y: 4, h: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1*(-14)\/(-2). Let o = 3.0288 + -0.0288. Sort o, 1, w.\nAnswer: w, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m - 322. Let s(w) = 24*w - 643. Give 5*n(z) - 2*s(z).\nAnswer: 7*z - 324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g - 22. Let p(y) = -y - 11. Let z(f) = -j(f) + 2*p(f). Let u(w) = 5*w**2 - 6*w. Calculate z(u(o)).\nAnswer: 20*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30024 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39194328 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/51*-2 - (45 - 34356\/714). Factor -s*i**3 - 69\/5*i - 18\/5 - 66\/5*i**2.\nAnswer: -3*(i + 1)*(i + 3)*(5*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 533426479 and 2939?\nAnswer: 533423540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/2 - 13\/4. Let x = 8.6 + -8. Let j = -0.4 + x. Put -2, n, j in ascending order.\nAnswer: -2, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -37*x - 18*x. Solve -x*i + 14 = 44 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 9*f + 2. Let n be d(-9). Suppose 2*w = -2*w + 8. Factor -3 - w*v**3 + n*v + 1 - v**2 + 3*v**2.\nAnswer: -2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*t - 248*t - 601*t + 61488 = 0 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29590 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 371 - 7*a**2 - 370 + 3*a as q*a**2 + u + v*a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:17 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8746.11ml to litres.\nAnswer: 8.74611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = t + 49 + 8, 0 = f - 3*t + 25. Let d be (8 - 1)*24\/f. Let u(x) = x**2 + 5*x - 2. Let b be u(d). What is the highest common divisor of b and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -13*s + 495. Let q = -62 + 13. Let z = q + s. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36596, 146426, 329484, 585770, 915284, 1318026?\n\"Answer: 36614*k**2 - 12*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -20 + 64. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**3 + 70*a**2 + a - 14174 wrt a.\nAnswer: -9*a**2 + 140*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = -4*l, -4*l + 21 = -3*c + 12. Put 16, 5, l, -5 in ascending order.\nAnswer: -5, l, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107008 by 256.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*p = -4*p + 14, 5*a + 5 = 5*p. Suppose -45*q + 47*q = -a. Suppose 0 = 4*z + 12. Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 8*t - 7. Let m be o(6). Solve -3 = u - m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 m when four letters picked without replacement from xxxxpmmm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*f + 167 = 0, -u + 3*u - 298 = 4*f. Suppose -4*y + 5*y = 62. Let n = 93 - y. What is the highest common factor of n and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77704, -155667, -233630?\nAnswer: -311593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z + 3. Let k be r(1). Let i = k + 15. Suppose -v - 19 = -3*n, -4*v - 36 = -25*n + 21*n. Sort -6, 0, v, i in increasing order.\nAnswer: -6, v, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*k - 7844, 0 = -14*s + 9*s + k - 7848. Round s to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154 + 84. Suppose 11*x = 10*x - 4*k - 92, 5*x - 3*k = -460. Is 8 a factor of (x\/(-5))\/((-28)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94503399 is divided by 522.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3314 divided by 1.\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/15 + 488\/(-6). Let c = 156 + z. Let k(s) = s**3 - 7*s**2 - 4*s - 2. Let r be k(8). Calculate the greatest common divisor of c and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*t + 28 + 40, 5*t + 106 = 2*r. What is the greatest common divisor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.24 + 0.14. Sort 3, l, 8\/9 in decreasing order.\nAnswer: 3, 8\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**7\/840 - m**6\/180 + m**5\/60 - m**4\/6 - m**3\/6 + m. Let o(t) be the second derivative of r(t). Does 4 divide o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27201815393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 161703 (base 9) in base 14?\nAnswer: 284a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 6*r - 10. Let j be -3 - (8 + -5 + 3). Let m be i(j). Suppose -b + 43 - m = 0. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rubnn. What is prob of sequence nunb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -5, 5, -2.\nAnswer: -5, -2, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 7373.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 + 3*z + 1. Let j be 36\/(-9) - (0 + -1). Let q be b(j). Suppose 5*p = 400 - q. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + 4 - 4)*(1775 - 237 + 881 + 1192) to the form t*q + j and give t.\nAnswer: 10833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31295492171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97049002*c**6 + c**2 - 43030752 wrt c.\nAnswer: -11645880240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33855 + 9984.36?\nAnswer: 9984.69855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/11 and -145\/1008.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.8194ml to litres.\nAnswer: 0.6228194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159.9 + 169. Round p to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7638 is divided by 761?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 1:24 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 10. What is the remainder when 23 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/8 - 31*w**3\/4 - 163*w**2\/8 + 775*w + 1575\/2 = 0?\nAnswer: -10, -1, 10, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 40. Let b be (s\/6)\/(15\/(-20)). Suppose -2*m + 3 = 5*d, m - 4*d - 10 = -2. Which is greater: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus -816568.184?\nAnswer: -816560.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - -3 - (-11 + 6 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Suppose 0 = x - p*j + j - 5, 0 = -5*j. Suppose 0 = 3*s - 2*k - k - 27, -2*s + x*k + 27 = 0. Let n(f) = -f**3 + 6*f**2 + 2*f - 5. Determine n(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15007 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336770 is divided by 84174?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 14*i - 5. Determine r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6471 - 577. What is the lowest common multiple of j and 10?\nAnswer: 29470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -141121829, 5, 0?\nAnswer: -141121829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -374385*k**3*u**2 + 2*k**3*u - 24*k**3 + 2*k**2*u - 5*k*u**3 - 7*k*u + 142*u wrt u?\nAnswer: -748770*k**3 - 30*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296 - -299. Solve 0 = k*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-18)\/2)*3. Let q be (-7)\/(-4) - u\/4. Suppose q = -2*o - 4*w, -3*w = -0*o + 3*o. Sort -5, -1, o in descending order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*o + 7*o + 4*o)*(-4 - o + 4)*(0 - 4 + 2) to f*o + m + p*o**2 and give p.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10775 - -5543. Let y = o - -287747\/55. What is the common denominator of -43\/88 and y?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -320\/1911 + 2\/147. Let j = -87 + 82. Let x(t) = -3*t**2 - 16*t - 1. Let k be x(j). What is the closest to k in 3, -0.5, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3259 + 1655 + 1763 = -53*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -345881097 minus -1.11?\nAnswer: -345881095.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 5*a**2 - 4*a - 7. Suppose 5*p - 4 + 29 = 0. Let z(h) = -h**3 - 4 + 3*h**2 - 16*h + 9*h + 5*h. Give p*z(i) + 3*b(i).\nAnswer: -i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 63 - 59 - c)*(0*c + 2*c**2 + 0*c).\nAnswer: -2*c**3 - 74*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -21603505.\nAnswer: -10801752.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13705 divided by 5.\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 8*q**2 - 5*q - 2. Let j be z(7). What is the lowest common multiple of 2 and -3*8*(-9)\/j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 306.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3838 - 3826. Solve 2*c + 2*s = -10 + b, 5*s - 1 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 68*y + 258. Let l be o(-4). Solve 15 = l*f + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -23.\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -33631*x - 168072. What is c(-5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + r)*(249 - 24*r**2 - 249) + (0*r**2 + r**2 + r**2)*(-4*r + 4*r - r)*(1 + 1 + 2).\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7132866 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 + 0)) + -143 + 141 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 501789926?\nAnswer: 5017899260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22448, 44903, 67358?\n\"Answer: 22455*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + (23 - (44 - 41)) - (-7 + 110)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 3008*u - 1418*u - 1.\nAnswer: 1590*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2135, -19775, -67659, -160907, -314639, -543975, -864035, -1289939?\nAnswer: -1836807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0 + 0)*(51 + 176 + 258).\nAnswer: -485*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*m - 17 = -g, 0 = 3*g - 5*m - 21. Suppose 3*z + x = 490, -3*z + g*x + 3*x + 520 = 0. Is z a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 746 - 1489\/2. Let y(s) = s**3 - 5*s**2 + 5*s - 1. Let o be y(4). Factor -3\/2*k - x*k**2 + 3\/2*k**o + 3\/2.\nAnswer: 3*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26+13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 1. Let s(w) = -w**3 + 5*w**2 - 2*w - 1. Let k be s(4). Let t(f) = 10*f + 0 + k*f - 5 - 4*f. What is -9*n(j) + 2*t(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -38) + (4 - (-34)\/(-8) - 5)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39299\/18 + -2186. Find the common denominator of a and 385\/(-112) - (-2 - (-8)\/4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4500*u**3*x**2 - 115*u**3*x - 2*u**3 wrt x?\nAnswer: 9000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 29*o**2 + 29*o**2 + 4*o - 3. Let r(v) = -v**3 - 3*v + 2. Let d(a) = 3*r(a) + 2*s(a). Factor d(b).\nAnswer: b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1563*d*j**3*q + 162*d*j + 3*d*q - 6*j**3*q - j**3 + j**2*q + 2*q + 4 wrt j?\nAnswer: -9378*d*q - 36*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7560441*l**3 - 83*l**2 - 9856*l + 1?\nAnswer: -45362646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68c17 - -1e?\nAnswer: -68bf9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*q - 312*q = 3*r - 2, 3*r - 4 = 2*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -348, -378, -410?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.494301km to centimeters.\nAnswer: 849430.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 + -118.06. Let m = 1400.704 - 1402. Let h = d - m. What is h rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-4) + -3)*2. Let -11*i**3 - 11*i**4 + 8*i**4 + 9*i - 4*i**3 + i**4 - 4*i**k + 12*i**2 = 0. Calculate i.\nAnswer: -3, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6220 and 3500.\nAnswer: 1088500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 10*b - 13. Suppose o = 0, -148 = 4*m - 2*m - 2*o. Let u = 68 + m. Let d be c(u). Which is smaller: d or 12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -552 + 549. Let p(c) = 2*c**2 + 4*c. Let n(l) = 5*l**2 + 11*l. Calculate b*n(m) + 8*p(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60 + -1 + -3 + 6.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22239 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 4, -4, 0, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37645 is divided by 590?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7)**43\/((g*g*g\/g**3)\/g*g**(-15)\/g*g))**16 assuming g is positive.\nAnswer: g**5072","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + -39 + -46 - -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 20*c - 24.\nAnswer: -4*(c - 3)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*u + u = 140, 4*u = 0. Let m(v) = -v**3 - 11*v**2 - 12*v - 5. Let y be m(-10). Let r = g - y. Solve 3*p - 3 = 0, 0 = -3*a - 0*a - 4*p + r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -586 - -1003. Let y = 110 - 893. Let j = y - v. Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.4 + 4.5. Let l = p + 1.64. What is l rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**7\/840 - m**5\/60 + m**4\/12 - m. Let a(q) be the third derivative of j(q). Find the first derivative of a(z) wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/62001 + -6014705\/9424152. What is the common denominator of -27\/380 and s?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-8*h - h - h) + (8 - 7 + 6)*(5*h - 5*h + 4*h) to the form d*h + a and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**11\/(j**(-4\/7)*j))**12)**23 assuming j is positive.\nAnswer: j**(20424\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - 3.06. Let u be (-18)\/(-14) - (-4)\/(-14). Let w be ((-10)\/4)\/(u\/(-2)). Which is the smallest value? (a) -2\/11 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - h - 5)*(-2*h**4 + 0*h**4 + 0*h**4) + 2*h**5 - 2*h**3 + 2*h**3)*(5 - 3 + 1)*(-219 + 70 + 104).\nAnswer: -540*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -700, -711, -734, -775, -840, -935, -1066, -1239?\n\"Answer: -n**3 - 4*n - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -32. What is the remainder when a is divided by 5\/15*(2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/m**(1\/3))))**49)**(18\/7)*(m**(-1\/2))**(-1\/5)\/(m\/((m\/m**(2\/5))\/m)*m**3) assuming m is positive.\nAnswer: m**(797\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 253652 + -169293. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 9, -w + 341 = n. Let m be 4\/1 - w\/91. Which is the smallest value? (a) m (b) -1\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*k = -199*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 7 + -7 - (-2 + -25).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 8*r**2 + 23*r + 69. Let c be d(-6). Suppose 2*p = y - 0 - c, -p + 4*y = 12. Put 5, 35, p in decreasing order.\nAnswer: 35, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 0*z**3 + 0*z + 1 - 3\/4*z**4 + 3\/2*z**2. Factor l(v).\nAnswer: -3*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*k + 720 = -503*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 14*t - 34. Let q be k(-11). Find the common denominator of q + 2 - 580\/160 and 1\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.91 + 0.09. Which is smaller: -61 or t?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -854 + 886 - (1 - -46)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41448 (base 13) to base 6.\nAnswer: -2302253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 616956 at most 5552606\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - r. Let s be n(1). Let c be (-16)\/(-1100)*-5*10\/s. What is the third biggest value in -0.2, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 46 + x**2 - 46 - x**4 in the form j*x**3 + r*x + q + b*x**2 + d*x**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5\/5 - 3608*z**4\/5 + 1026468*z**3\/5 - 17645744*z**2 - 17851760*z = 0 for z.\nAnswer: -1, 0, 163, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 + 4025*t**4 + 23995*t**3 + 19975*t**2 = 0 for t.\nAnswer: -799, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*6\/(-30)*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 1, a: 1, c: 1, n: 2, z: 1}. What is prob of picking 1 a and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3963 = -s - 3961, 5*s + 10 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.5? (a) -5 (b) 2\/9 (c) -1\/5 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24573*h**2 - 5*h + 12286*h**2 + 12275*h**2.\nAnswer: -12*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -7*c + 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5118, 5107, 5096, 5085?\nAnswer: 5074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2761.1 + 2761. What is the third smallest value in -0.5, 0.4, 2, h, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 70*s**2 + 39*s + 9. Let v be w(5). Let t = 4850 - v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-88) + 13*1\/(-8)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*sqrt(36)\/sqrt(4))\/sqrt(3) - ((sqrt(297)*-1)\/sqrt(9))\/sqrt(11) - ((1 + sqrt(3) + 4 - sqrt(192)) + 2 + sqrt(192)\/sqrt(4)))**2.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 784.5836 millilitres?\nAnswer: 0.7845836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 20. Let p = 85 - 94. Let j = n + p. Solve -j*c + 0*c = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h - 34*h + 4*h**2 - 6*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -100 + 96. Solve -o*t = -4*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8400 - 8400. Solve -5*z - 3*d + 34 = h, 5*z + 21 = 8*z + 2*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 194 + (4 + -1 - 4). Let b = j + -103. Calculate the greatest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9872?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.6201 times -3\nAnswer: -4.8603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 9*q + 7. Let x(c) = c + 9. Calculate the least common multiple of i(5) and x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*q**3*u**2 - 376*q**3 + 2*q**2 - 21*q*u + 285*q + 12*u - 1 wrt u?\nAnswer: 30*q**3*u - 21*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 279*1\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/2))**31*(t\/((t**(-6)*t)\/t))\/t*t**5)\/((t\/(t*t\/((t\/t**(1\/13))\/t)))\/t*t\/(t*t*t\/(t\/(t*t**5\/t*t)*t))*(t**0)**(-20)) assuming t is positive.\nAnswer: t**(899\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -531 (b) 2\/7 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23\/253 - (-47253)\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times 4.8\nAnswer: -6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coqqgoqcoo. What is prob of picking 1 g and 1 o?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4354 + 13054 - 4350 - 4350 - 10*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 705\/4700 + (3\/15 - 6\/10). Which is the closest to -0.1? (a) m (b) -2\/15 (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-1100)*(-55)\/(-22) + 0 + 558\/(-902).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3 and 139\/678.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/6553 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(128)*2)**2*5.\nAnswer: -7680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 times -2?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4139097.02 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -16. Let w(p) = -4*p**2 - p + 1. What is w(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = 4*h, 2*h = 3 + 1. Let g be (12\/(-63))\/((-2)\/(-3)). Is g less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d - 2*d. Let i be (-1680)\/(-850) - 18\/(-765). What is the closest to d in i, 16, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = i - 6, 3*i - x = 6. Suppose -j + 4*m + 8 = 0, -4*j - 3 = i*m - 16. Solve 4 = p - j*v - 0*v, 5*p - 4 = 4*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) + (-1043)\/(-35). Let i = h - 49. Let b = -9 - i. Solve -b = -g + 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-1)\/(-2 + 1). Let j(i) = -274999*i + 4. Let k be j(h). Round k to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*2*-3)\/(sqrt(12)\/(sqrt(2)*1*4)).\nAnswer: -288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17608 divided by -31.\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -604, -584, -544, -478, -380?\n\"Answer: h**3 + 4*h**2 + h - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-6 - (-9 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 464, 1531, 3604, 7013?\nAnswer: 12088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cewzczzececezcc. What is prob of picking 1 w and 3 e?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2 - 1) - (-32 + 19). Suppose t = 3*j - 11. Let u(k) = -2*k + 8 - j. Let f(d) = -26*d**2. Calculate u(f(i)).\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96093360*m + 59482448?\nAnswer: 96093360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42723971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 0*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 726818010 a multiple of 674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.086 take away 9?\nAnswer: -14.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-2 + -1)) + -5 + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 3*w**2 + 10*w)*(3*w**2 - w**2 - 4*w**2) + 213*w**4 + 221*w**4 - 424*w**4.\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*r - 11 = 0, 2*r + 4 = -3*h - 5. Let w(t) = -14*t**2 - 25*t - 7. Let u(f) = 4*f + 1. Let g(c) = -6*u(c) - w(c). Calculate g(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 18*d**2 - 65*d - 33. Let z be l(4). Let n(j) = -j. Let v(a) = -4*a + 33. Determine z*n(x) + v(x).\nAnswer: x + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79454783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005849 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -e497b (base 15) to base 7\nAnswer: -6104633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/sqrt(90))\/(sqrt(2) - ((sqrt(2) - sqrt(54)\/sqrt(3)) + sqrt(2))).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(1\/(-16)). Suppose 5*x + 27 = -2*n, 0 = -3*x - x - 4. Let v = m - n. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z - 49. Let c be h(-7). Let t(q) be the second derivative of 6*q + c - 1\/3*q**3 + 3*q**2. Give t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0*z**3 - z**2 + 1\/30*z**5 - 1\/60*z**6 + 0*z + 0 + 0*z**4. Find the third derivative of u(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.043, -9, 37\/3?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1111 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:44 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91674 divided by -8334.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 + 0.089989. What is f rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {c: 5, d: 1, r: 2, q: 1, u: 2, a: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/((-36)\/288)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1 + 3. Suppose 0 = -7*j + 91 + 42. Let y = j - 14. Let m(q) = -3*q**2 - q. Let s(u) = 7*u**2 + 3*u. Determine b*s(r) + y*m(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97, 96, 95, 94?\n\"Answer: -g + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 11:08 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 9 + -14 + -10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-9))\/(3\/27). Suppose 7*h - 12 = o*h. Suppose -h*y + 8 + 49 = 0. Solve x + 2 = -m, x - y = 4*m + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.19 * 0.5\nAnswer: 2.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88046 and 3430.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -216*y + 98*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711360 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -12*w. Let s(d) = -2*d - 887. What is s(m(k))?\nAnswer: 24*k - 887","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19696 + -19606. What is the smallest common multiple of 525 and x?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21538331.\nAnswer: 163, 132137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j - 3*v - 17, -8 = -j - 3*v. What is the first derivative of -4 - 5 + 1 + j*l wrt l?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 334 (base 14) to base 7\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 14*t + 8. Let u be j(7). Solve m + u - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13229 + 13232. Let h(g) = 2*g - 2. Let k(n) = -6*n + 7. Determine s*k(w) + 8*h(w).\nAnswer: -2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9478 is divided by 413?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58694, -58682, -58670, -58658, -58646, -58634?\nAnswer: -58622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) -0.1 (c) 5 (d) 18\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 64dadb2?\nAnswer: 64dadab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:58 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/21, -4, 0.0182?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13450, 26914, 40378, 53842?\n\"Answer: 13464*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x - 25. Let h(a) = -a**3 + 5*a**2 + 3*a - 4. Let o be h(5). Let f = o - 15. Sort 1, f, x.\nAnswer: f, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8633 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 5*n**2\/2 + 2*n - 2. Suppose -5*s - b = -50, -4*s = b + 8 - 48. Suppose z + 3*z - s = -3*u, 0 = -3*u + 5*z - 26. Give g(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 10*o - 40*o + 14*o - 366 + 366 + 13*o. Let u(z) be the second derivative of 8*z**3 + z**2\/2 + z. Determine u(r(t)).\nAnswer: -144*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let s(m) = 8*m. Suppose 0*f - 10 = -5*f. Determine f*s(k) + 18*z(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 2081635\nAnswer: -16653080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/8)\/(3 - 4). Let v(s) be the second derivative of 1\/12*s**f - 2*s + 0*s**3 + 0*s**2 + 1\/5*s**5 + 0. Find the third derivative of v(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b5196 (base 12) to base 4\nAnswer: 321313002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 + 37. Let d(o) = -o**2 - 23472*o + 23472*o. Calculate d(h(z)).\nAnswer: -25*z**4 + 370*z**2 - 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 14513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 609900 and 2100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 117401.\nAnswer: -4\/117401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.012 - 0.059. Let g = 239.953 - d. Let o = g - 240.00000505. What is o rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -0.4, 0.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)*z**0\/z)**(-3\/25))**(4\/21) assuming z is positive.\nAnswer: z**(36\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 3. Let n = 24 - 3. Let f = 26 - n. Let j = -7 + f. Let k(c) = c**3 + 4. Determine j*k(y) - 3*d(y).\nAnswer: y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -966*j + 9682. Calculate n(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {j: 1, u: 1, i: 4, r: 1, f: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8342 by -8342.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 3*o + 5 + (22*o + 61*o + 32*o)*(-4 + 2 + 0) + 0*o - o - o + 2*o - 3*o + 2*o + 0 + 0 + o + (1 - 1 + 2*o)*(3 - 4 + 2) + 2 + 3*o - 2 + 4*o - o - 2*o.\nAnswer: -227*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.671 - 83.503.\nAnswer: -84.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 2*d**3 - d**2 + 1 + 3*d**3. Let j = 5732 - 5728. Let r(b) = -2*b**3 - 5*b**2 + 2*b + 4. Give j*q(p) - r(p).\nAnswer: -2*p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55147?\nAnswer: 55147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - (0 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14937 - -24879. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79 + ba?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 1 - 16) + (3 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3276 + -8?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 3*d**2 - 9. Let s(b) be the second derivative of -b**5\/20 - b**4\/12 + 3*b + 13. Let k(z) = 3*s(z) - u(z). Differentiate k(r) wrt r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*d - 101. What is the second derivative of 6*s**4 - 20*s - 3*s**4 + d*s wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/33))**49\/(i**(-1\/36))**(-49))**43 assuming i is positive.\nAnswer: i**(2107\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 3567?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25057934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 542105062 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-20)*(-11805)\/34628?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2 + 3 - 2. Let y(m) = -m**2 - 7. What is 5*k(l) + 2*y(l)?\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*i**3 + 22*i**3 + i**3 + i)*(-1 + 3 - 4) to the form f*i + q*i**2 + b*i**3 + r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2. Let m be 4*(0 - (-2)\/4). Suppose m = 2*t - t. Let f(u) = 2*u**t + u**2 + u**2 - u**2. What is c(f(n))?\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 796 = 4*t + 723, -3*g = t - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1833*b + 224*b - 316*b + 629*b as h + c*b and give c.\nAnswer: 2370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -86\/3?\nAnswer: -86\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = q - 818, 5*g - 3256 = -4*q + 9*g. Let s = 819 - q. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -17, -39, -81, -149, -249, -387, -569?\n\"Answer: -q**3 - q**2 + 2*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 3\/5 (c) -2\/17 (d) -1\/4 (e) 1462\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5005*q - 10065*q - 1809 = -4993*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t - t - 1 - t + 1 - t - t + 3*t + (1 + 0 + 1)*(-t + 2*t + 0*t) + 0*t - t + 0*t - 2*t - 2*t - 3*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-26)*(l**1)**(-16))\/((l**(-2\/11)*l\/(l\/(l\/l**(1\/5))))\/(l*l\/(l**(-2\/11)*l*l)*l*(l\/l**(-2\/3))\/l*l)) assuming l is positive.\nAnswer: l**(2018\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10*l = 105. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u**2 + u - 1. Let d(j) be the third derivative of j**6\/40 - j**5\/15 + 5*j**4\/24 - 2*j**3\/3 + 15*j**2 + 292. Determine -d(z) + 5*w(z).\nAnswer: -8*z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101001010100100010001000 (base 2) to base 4\nAnswer: 221110202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81 and -0.224895?\nAnswer: 81.224895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:52 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (88\/10)\/(-1 + 7\/5). Suppose 5*s = -142 + t. Which is smaller: s or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p - 1. Suppose 3*d = -0*d + 3. Let x be q(d). Solve x*l + 2 + 6 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-30)\/(-105) + 6 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -508975, -509208, -509597, -510142, -510843, -511700?\n\"Answer: -78*y**2 + y - 508898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1480.68 years?\nAnswer: 148.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4920295.363 + -40.96.\nAnswer: -4920336.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w**(-1\/8)\/w)\/w*w**7)**(-1\/9)\/(((w**0*w)\/w)\/w**(-1\/6)*((w**(1\/2)\/w)\/w)\/(w*w\/(w*w\/(w\/w**(-2\/13))*w*w))) assuming w is positive.\nAnswer: w**(-259\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198409 is divided by 5835.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - r + 2. Let s(l) = 510*l**2 + 40*l - 80. Calculate 40*i(d) + s(d).\nAnswer: 470*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from wwqhwwnnqhwnwnhnq.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(18) + 2 + (3*sqrt(18) + -2)*-3.\nAnswer: -24*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2350.9 - 2057. Let l = -293.90003418 + f. What is l rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**2*q**4 - 4*o**2*q**2 - 2*o**2*q + 8*o*q**5 + 76*o*q - 523*q**3 wrt q.\nAnswer: 48*o**2*q + 480*o*q**2 - 3138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-26)\/(-6) + -1)*(-252)\/168. Let h be (-57)\/y + ((-64)\/20)\/8. Suppose h*a = 12*a - 178. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - 1.1. Put 0, -2, b in decreasing order.\nAnswer: b, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033560119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21))\/(132*(-47)\/(-1128)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592 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: Collect the terms in -1605*r**2 + 3197*r**2 - 1592*r**2 - 43*r**3 - 16*r**3.\nAnswer: -59*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 1702*d**2 + 28628*d - 279. Calculate f(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114185630 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 13*v + 1. Let h be x(-12). Suppose h*j = j + 156. What is the remainder when 2\/(-4) - (-151)\/2 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-10)\/(-2) + 0. Solve 2 + 13 = -t*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -13. Let r = -54 - q. Solve -2*v - r = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a - 1674 = -1278 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1879, 3698, 5413, 7024, 8531, 9934, 11233?\n\"Answer: -52*x**2 + 1975*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126613817?\nAnswer: 11, 47, 244901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**2 - 4*r + 8. Let b(c) = -7*c**2 + 3*c - 7. Suppose -o + 5 + 12 = 3*m, -2*o = -2*m - 2. Suppose -m*i = -i - 15. What is i*t(h) + 6*b(h)?\nAnswer: -2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 5*y - 5*z = -45952, -5*y + 2*z = -76628. What are the prime factors of y?\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -2) + (245 - 221) + -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 23. Suppose -5*s + 10 = -20. What is the lowest common multiple of s and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.3, 0.3, 2.6, 2?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**2 - 313*b - 3367. Give v(-43).\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2162\/9 - -240. Sort p, -0.1, -1.\nAnswer: -1, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1698 or 494416\/291?\nAnswer: 1698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -14 - (-4 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1316*n - 60*n = -75*n - 6655. Let y = -2813\/2244 + 2\/561. Which is the third smallest value? (a) y (b) 4\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from xrfeeqz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, i: 1}. What is prob of picking 1 f and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*q**2 + 51*q**2 - 6*q**2 - 23*q**2 + 43*q**2 + 8*q.\nAnswer: 167*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0091 + 2.0091. Which is the nearest to 1\/2? (a) q (b) -8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.12, -14365, 3 in decreasing order.\nAnswer: 3, -1.12, -14365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18567 divided by -11?\nAnswer: -18567\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.25418739 + -4.54417913. Let t = n - -2.29. Round t to seven dps.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -187 + 195 - (-1 + 2 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**2 - z - 1. Let j be 1*3*2\/(-3). Let b = 1 + j. What is the units digit of i(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**7\/2520 - o**6\/36 - o**5\/40 + o**4\/12 - 79*o**3\/6 + 66*o**2. Let b(i) be the second derivative of r(i). What is b(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - x + 48. Let t be y(-17). What is the third biggest value in t, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 + 5 + (4 - 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2438317 + 67504357. Suppose 0 = 30*m + 459942674 - i. Round m to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8890992 and 19008.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, p: 6}. What is prob of sequence rr?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/7 + (2 - 1). Let n = 53 - -41. Let p = 94.4 - n. What is the biggest value in -3, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.021 - -0.0862. Let w = i - 0.12. What is w rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*c - 4565 - 9557, 2*c + 6 = 0. What is the lowest common multiple of 9 and w?\nAnswer: 31761","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04082 + 0.00918. Sort -1\/6, -0.1, w, -0.013 in increasing order.\nAnswer: -1\/6, -0.1, -0.013, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5\/3 - 2*t**3\/3 + t\/3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*c - 111 = 0, -2*z + 6*z - 129 = 3*c. Let q be -1 + 5 - (z\/5 + -5). Suppose 0 = q*l - 15. Solve 3*k - 4*h = 4 + 4, l*h = -k - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(192)*1 + -4)**2 - (sqrt(192) + 0)*6).\nAnswer: -624 + 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**2 - 6*j - 10. Give h(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0)*(-5 + 23 + 3160*y - 38 + 20)*(0*y**3 - 2*y**3 + 0*y**3).\nAnswer: -31600*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11767320 to the power of 1\/2, to the nearest integer?\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**1*g*g)\/g)*g**(-12))\/((g*g*g*g**(2\/53))\/g**(-6)) assuming g is positive.\nAnswer: g**(-1221\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 + -88. What is the tens digit of k + 0\/(1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.07 + -23360\nAnswer: -23368.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42416 divided by -10604.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.1. Let j = 0 + i. Suppose 8*v = -0*v - 40. What is the nearest to 0.1 in 1\/10, j, v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.4819472t?\nAnswer: 481947200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 400972*c**2 + 123*c*y**2 - 2*c*y - 227*y**2 + 591*y - 189 wrt c?\nAnswer: 801944*c + 123*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 20 + -17 - ((4 - 16) + 15 + -3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 2*s - 11*s**2 + 5*s**2 + 0*s. Let m be t(-6). Let w = m - -335\/7. Which is the nearest to -1? (a) -4\/7 (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 3 = 4*f + 3*c, -3*f + 4*c + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(588) + -2).\nAnswer: -336*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/21 - (-1060)\/35. Suppose 0 = 2*c - 8*c + j. Suppose c*t = -2*n + 159, 9 = 4*t - 11. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 0 - ((16 - 2) + -7). What is the closest to l in -0.02, -2, 2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(162)*-2 - (1 + sqrt(162) + 4) - ((sqrt(162) - (0 + sqrt(162))*-2)*3)**2.\nAnswer: -13127 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5 - 33*g**4 + 117*g**3 - 123*g**2 + 42*g = 0. What is g?\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8986899 by 2995633.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:28 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*z = 41, 5*z = -3*d - 2*d + 25. Solve -3*c - 2*b + d = 0, -b = -4*c + 4*b + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:34 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 699 + -680. Find the second derivative of 2*b**5 + i*b**3 + 29*b**3 - 44979*b + 2*b**3 + 44737*b wrt b.\nAnswer: 40*b**3 + 300*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19113536 is divided by 152.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5100.49*77\nAnswer: 392737.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44298 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 139 and 28.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 241, 375, 507, 637?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a - 10*a**2 + 0*a**3 + 0 - 1\/40*a**5 + 1\/16*a**4. Let g(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 3*v - 3*v)*(3 + 3 - 5) + v - 4*v + 0*v - 24*v + 60*v - 33*v + 24.\nAnswer: -v + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.460396 millilitres to litres.\nAnswer: 0.000460396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*r - r. Suppose -r = -2*k + 3*k. Let o be 17\/5 - (-2)\/(-5). Sort -1, k, o in descending order.\nAnswer: o, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(117)*1)**2 + 5.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -0.02, 0.04.\nAnswer: -1, -0.1, -0.02, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -4110?\nAnswer: -4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 - 124. Let h be (-3)\/o - 175\/(-15). Solve -4*x = 5*k + 18, 0*k = k + 5*x + h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 + 33694456?\nAnswer: 33694455.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*j**5 - 70*j**4 + 65*j**3 + 90*j**2 - 100*j - 40.\nAnswer: 5*(j - 2)**3*(j + 1)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-190)\/(-1140))\/(2\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/312)\/(2\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23529\/(-217))\/(-23) - ((-20)\/14)\/5 - -12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9804.392 litres?\nAnswer: 9804392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 64 + -64 - -30?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-18)*p*p)*p\/(p**(1\/5)*p*p) assuming p is positive.\nAnswer: p**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 2*i + 39. Let t be s(0). Let n = -41 + t. Is -2 + (2 - (-3 + 2 + n)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - (-25)\/(-21). Let c = -529 - -534. Put -2, c, i in increasing order.\nAnswer: -2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*t - 6*c + 15, -5*t - 47 = 3*c. Let v(p) = 22*p**2 - 3*p + 3. Let w(l) = 45*l**2 - 7*l + 7. What is t*v(b) + 3*w(b)?\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 13\/4 - -1)*3240\/(-1215).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 6*p**2 + 5. Suppose -h - 3*q = 6, 2*h - 2*q + q = -12. Let b be y(h). Let w(d) = -d. Let c be w(4). Put b, c, 3 in increasing order.\nAnswer: c, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 2673?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308 a factor of 2001772512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 2*t + 6*t)*(-t - t + t + (5 - 4 - 3)*(-1 + 1 - t))*(10 - 3 + 4) to q*t**2 + a*t + v and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 4. Let h be v(-5). Let w = 5 + h. Suppose -3*f - 5*j = -2*j, -3*f + w = j. Solve g - f*l = -2*l - 5, 2*l = 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2044 and -13\/2044.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/(-30) + (-7)\/(-8). Sort x, 0, 3 in decreasing order.\nAnswer: 3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-18))\/((-1)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43484 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48796166, -97592342, -146388518, -195184694, -243980870?\nAnswer: -292777046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500 - 400. Let g = 101.31392 + -1.21192. Let x = p - g. What is x rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.108 in 4, -0.06, -12?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35674 + 35674 - 42*x**3 + (5 + 3 - 5)*(0*x**3 + x**3 + 2*x**3) + x**3 - x**3 + 2*x**3.\nAnswer: -31*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1174b (base 15) to base 3.\nAnswer: 2211022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i. Let m = -134 + 209. Suppose -d - x + 12 = -i*d, -5*d - 2*x = -m. Solve 0 = 5*w - 4*h + d, -3*w - 11 = 2*w - 2*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340*4.47\nAnswer: -1519.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 15. Let r be q(-9). Let x be 3\/r - 18\/(-8). Let l be (-90)\/25 - x\/5. Which is the third smallest value? (a) 4 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 9*j**2 - 8*j - 15. Let a be t(10). Factor -9 + 20*w**2 - 3 + a*w - 5*w**3 - 13 + 5.\nAnswer: -5*(w - 4)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 11. Let p be q(-9). Factor 2*h - 2*h**p + 0*h**2 - h + h**3.\nAnswer: h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/7, -3\/23, 1\/5.\nAnswer: -9\/7, -3\/23, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133254 is divided by 66622?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2*u**3\/3 - 2*u**2 - 3*u + 626. Determine p(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2249 - 4138 - 291*x**3 + 2310 wrt x.\nAnswer: -873*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -27*y**3 - 397*y**2 + 6*y + 376. Let t(d) = 15*d**3 + 199*d**2 - 3*d - 187. Let w(f) = 4*c(f) + 7*t(f). Factor w(h).\nAnswer: -3*(h - 1)*(h + 1)*(h + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -14\/5 (b) 0.332 (c) -0.2 (d) -3\/8 (e) 27.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 442 + 689. List the prime factors of o.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 231*i + 35?\nAnswer: 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**5 + 41*m**4 + 1623*m**3 - 104*m + 517 wrt m.\nAnswer: -20*m**3 + 492*m**2 + 9738*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40320 and 20160.\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*a**4 + 2*a**2 + 1314*a?\nAnswer: 1968*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 8. Let u be o(-24). Solve -u = 6*x - 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, p: 2, y: 4, w: 3, k: 2}. Give prob of picking 2 k, 1 y, and 1 p.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -4*t - 12*t + 24. Solve 7*r + t = 12*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + -3*(-1 + sqrt(1900) + 1) + -1))**2.\nAnswer: -2160*sqrt(19) + 154044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(11)*1 - sqrt(11)) - sqrt(11))*3*-5)**2 - ((sqrt(55) + sqrt(660)\/(sqrt(12)*-1))\/(sqrt(5) + 4*sqrt(25)\/sqrt(5)))**2.\nAnswer: 450*sqrt(11) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17208 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let b(y) be the second derivative of 1\/30*y**5 + 0 - y**2 + 0*y**4 - y + 0*y**3. Let c(o) be the first derivative of b(o). Give c(v(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345136*h - 1435 = 345177*h for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 35. Suppose -2*o = 3*b - 8, -p*o = b + b - 9. Suppose 0 = 4*f - 12, 3*f + 402 = 5*j + b*f. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*s + 891 - 909 = 0, 2*s + 6 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from uuukgkmkumguuucuuua.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 4. Let s be a(2). Let c be -2 - s - (9 + -17). Let w(t) = 50*t + 1. Is w(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3 (c) -2\/55 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -316397*k**3 + 323895 wrt k.\nAnswer: -949191*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 285, 429, 573, 717, 861?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 4. Let l = -3 - -3. Let h be v(l). Suppose -h*k + 0*k + 2*d = -30, -k + 35 = 5*d. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 845 + -833. Suppose -19*r = -a*r. Solve 0 = -2*b, r*b - 2*b = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 56?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let v(m) = -2*m + 8. Let t(h) = -3*h + 6. Let l(n) = -4*t(n) + 3*v(n). Let p(q) = 6*l(q) - 39*x(q). Let z(r) = -113*r. Determine z(p(f)).\nAnswer: 339*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3724 and 183141?\nAnswer: 5127948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103.63 + -85.7. Let c = o + -18. Let l = c - -5.07. Put l, 2, -3 in increasing order.\nAnswer: -3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680, -675, -666, -653, -636, -615?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6)*3*0\/(8 - 11). Solve 13*z - 34 - 5 = r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -104*t**2 + t - 1. Give h(1).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 1, v: 2, b: 2, m: 1}. What is prob of picking 2 b and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1525 and 175?\nAnswer: 10675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -3*i**4\/2 + 77. What is r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113476257 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 217.3300048 + -102.04891672. Let i = j + -131.2810875. Let d = i + 16. What is d rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -114, -211, -302, -387?\n\"Answer: 3*t**2 - 106*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438770.\nAnswer: 2, 3, 5, 199, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 230.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 + 8*r**2 + 8*r - 1. Let d(k) = -k**3 + 8*k**2 + 7*k - 1. Let y(s) = 3*d(s) - 2*j(s). Let z(a) = -a - 9. Let o be z(-4). Does 16 divide y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91344 times 5305\nAnswer: -484579920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = 7. Let u be ((-96)\/5)\/i*-5. What is the greatest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -47*w + 182. Give n(12).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*2)\/sqrt(8) + sqrt(24)\/sqrt(3))**2 + -1 + (sqrt(240)\/sqrt(6))\/(sqrt(1375)\/sqrt(11)).\nAnswer: 2*sqrt(2)\/5 + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -22*n**2 + 4*n + 4. Let h(d) = 3*d**2 - d + 2. Let f(u) = -12*u**2 + 9. Let z(l) = -f(l) + 3*h(l). What is -3*s(t) - 4*z(t)?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/155 and -24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20061690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**0)\/a*a*a))**(4\/11)\/(a*(a*a**(-2\/7)\/a)\/a*a)**19*((a*a\/a**1*a*a)\/a)**11\/(a**7\/a*a**0) assuming a is positive.\nAnswer: a**(159\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146547*x**4 - 12017*x**2 + 3*x?\nAnswer: -3517128*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 506\/13 - 39. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34014001 + -302?\nAnswer: 34013144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 7. Let p(j) = 3*j + 8. Let m(o) = -4*b(o) - 5*p(o). Let c be m(6). Is -7 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1 + 3))*6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91347.\nAnswer: 3, 30449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 33231.72 grams?\nAnswer: 0.03323172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/((-4)\/36). Let o be (y + (14 - 0))*38. Let t = o + 67. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2\/15 (b) -1\/4 (c) -1 (d) 3 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 1\/7, 3, 476 in ascending order.\nAnswer: 1\/7, 3, 57, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 12) to base 8\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 7*j + 5. Let g(o) = -2*o**2 + 4*o + 3. Suppose -3*x - 3*m - 15 = 0, -x - 5 = 3*m - 7*m. Determine x*g(c) + 3*b(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/80 in -46, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*b**2 + 60*b**2 + b**3 + 56*b**2 - 182*b**2.\nAnswer: b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pps when three letters picked without replacement from {s: 2, p: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*g + 10 = -5, -g + 13 = 2*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2040 - 2066 = 3*w, -b + w + 7 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*f - 32*f - 6. What is the derivative of 48 - 94*m**f - 80 + 64 wrt m?\nAnswer: -282*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/6 + 14249*i**3 + 1624025*i**2\/6 = 0?\nAnswer: -85475, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-6 + 10) - (2 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edeg when four letters picked without replacement from egedd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(4\/36))\/((378\/18)\/63)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7032477 and 2.\nAnswer: -14064954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 60 = 2*q. What is the remainder when 164*(15 + (-1243)\/88)*(-34)\/(-7) is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55950686 + 91247320. Let o(i) = i**2 + 2*i + 2. Let m be o(-3). Suppose -u = m*f + 19703366. What is f rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 320001*d**3 - 3*d**2 + 3. Let t be a(3). Let h be t\/18 + 2\/(-12). Round h to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35511 or -35515?\nAnswer: -35511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**(12\/7))**(2\/67)\/((u**(2\/9)\/u*u*u**(-1\/2))\/(u**(-1)*u)**(1\/4)) assuming u is positive.\nAnswer: u**(5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(0*z**2 - z**3 + 0*z**2) + (0*z + 2*z + 0*z)*(0*z**2 + 2*z**2 - 4*z**2) + 27*z - 27*z - 5*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f + 8. Give j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 114. What is the highest common factor of w and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(18)\/sqrt(3))*-3*-6 - (-4*sqrt(153)*3 + 4)**2.\nAnswer: -22048 + 306*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809501048.\nAnswer: 2, 3, 25131959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:59 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + c + 8 = 33, 29 = 2*q - c. What is the highest common divisor of q and 19962?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13946 is divided by 13934.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 56950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose y + 0*y = a. Suppose 4*u = y*s - 40, -3*s + 4*u + 13 = -2*s. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u - 65 - 5. What are the prime factors of -652*((-14)\/u)\/(-4)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5308\/15 + 48\/360. Calculate the greatest common divisor of i and 2006.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2105432 and 39032?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.433 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/11, 5, 138.94?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005909278 rounded to six dps?\nAnswer: -0.000591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (6 + -3)) + (23 - -6). Find the third derivative of 42*y**3 + 5 + 31*y**2 + k*y**2 + 33*y**2 - 90*y**2 wrt y.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/16*4\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -18)\/9*0. Solve l = -31*c + 42*c + 44 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u. Let a(o) be the third derivative of 0 + 0*o**3 + 5*o**2 + 0*o + 1\/12*o**4. What is a(j(r))?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225 + 446 - 6*a - 220 - 8*a**3 + (-3*a**2 + 4*a**2 - 3*a**2)*(-1 + 1 + 2*a) to the form o*a**2 + p + j*a + n*a**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*-1*2*sqrt(832)*-4 - (-6*(sqrt(13) + (sqrt(13) + -1)*-4) + 3 + sqrt(117)\/(-1*sqrt(9)))))**2.\nAnswer: 2444*sqrt(13) + 29393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*p - 30 = 0, -4*u + u + 2*p + 90 = 0. Let q = -861 + 853. Let i = u + q. Calculate the remainder when 42 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 7:38 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 0.01 (c) 30\/77 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756 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: Let t = -352 + 354. Find the second derivative of -81*q**3 - q**2 - 4*q - 219*q + 0*q**t wrt q.\nAnswer: -486*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -7*n + 83. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 14 = -6*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 8. Let q(m) = m**3 - 3*m**2 - 2*m - 4. Let h be q(3). Let y be p(h). Let k be (-8)\/(-5)*(-1)\/y. Is k smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4298 = -16*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1755200 (base 8) to base 16.\nAnswer: 7da80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 331*v + 656. Let j be u(-2). Let b(i) = -21*i - 125. Calculate b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18177?\nAnswer: 3, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 26 = 11*n - 11. Solve 5 = n*x - 5, 27 = -4*c + 3*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(2*sqrt(9) + sqrt(9)))**2 + -5.\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k\/(k\/k**(-15))*k\/k**(3\/2) assuming k is positive.\nAnswer: k**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5 - 100970*g**2 - 456*g**4 - 697*g**4 + 102328*g**2 wrt g?\nAnswer: -180*g**2 - 27672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*h = 1938, 4*h = -3*x - 2*x + 3238. Let z = -645 + x. Let c(v) = -v**2 + 9*v - 21. Determine c(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1\/1*273\/(-21))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5 + 3. Suppose 2*i + 2*f = -2*i - 8, t = i - 2*f. Suppose i*b = b - 23. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612606.078us in weeks?\nAnswer: 0.000001012906875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 38*j + 108. Let c be f(-16). Solve 33 + 27 = c*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3051667 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.3 or 34?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 3. Let x(m) = 392 + 400 - m - 791. Give -2*o(u) + 5*x(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -10, 10806.\nAnswer: -10, -4, -2, 10806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1217*l**4 - l**3 + 7892*l**2.\nAnswer: 29208*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -931*z**5 - 20954*z**3 - 8*z**2 + 486450.\nAnswer: -55860*z**2 - 125724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10385 and 1240.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/11 (c) 49 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 + 0*h**2 + 5*h**2. Let s(n) = -11*n**2 - 5*n + 5. Let l(o) = 6*o**2 + 3*o - 3. Let u = 20 + -23. Let z(r) = u*s(r) - 5*l(r). Give z(d(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/23 (b) -3 (c) 1\/6 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4207*w - 4187*w - 800. Solve -40*k + w = -60*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5686019 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.1894023?\nAnswer: 0.05682069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 3, h: 7, w: 2, f: 1}. Give prob of sequence wf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5703.843 milliseconds in seconds?\nAnswer: 5.703843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2. Let w(j) = 37 + 2*j - 37. Determine i(w(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*c - 3, 0 = -5*l + 10*c - 68 + 33 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*t + 185, -4*s = 2*t + 161 - 367. Calculate the highest common divisor of s and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6273 + 6270. Let o = -0.03 - 4.97. Which is the third biggest value? (a) f (b) -0.04 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*t, -3*r + 2*r + 2*t + 6 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6477862 to the nearest one hundred thousand.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -1\/3 (c) 1320 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.4. Let m = -0.3 - z. Let q = m - -0.2. Which is the second biggest value? (a) q (b) 4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/6 + 50*o**2\/3 + 170*o\/3 + 160\/3.\nAnswer: 5*(o + 2)**2*(o + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75997831?\nAnswer: 7, 13, 835141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 19. What is the third derivative of 4*c**6 - c**6 - 2*c**6 + 19*c**2 - w*c**2 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-4) + (-2*2)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32879 - 10364. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.46526941.\nAnswer: -0.046526941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1 + 11 = n, 2*n = 3*p + 10. Solve -4*w - 24 = n*b, 3*b + 2*w = -15 - 9 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 6418.\nAnswer: -4\/3209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u*u**(-3))\/u)))**47)**(20\/3)\/((u**(-3)*u)**42)**(-41) assuming u is positive.\nAnswer: u**(-4384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2326*u. Let n(a) = 2*a**2 - 1376*a - 3. What is n(s(h))?\nAnswer: 10820552*h**2 + 3200576*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-31))*g)\/g**(4\/17) assuming g is positive.\nAnswer: g**(-514\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**3\/13 + 2528*y**2\/13 + 948648*y\/13 + 111333600\/13 = 0.\nAnswer: -700, -282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -49, -86, -121, -148, -161?\n\"Answer: z**3 - 8*z**2 - 16*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4469 - 4469. What is the second smallest value in 5, 0.2, -2\/13, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i - 249. Let s be -2 - (7 + -4) - -361. Let a = s + i. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/(-20) + 2\/(-5). Sort 0, f, 3 in decreasing order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 627\/13 + -9181\/182. Calculate the common denominator of p and (-20)\/(-70) - (-2115)\/560.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42281, 42276, 42269, 42260?\n\"Answer: -k**2 - 2*k + 42284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/8 + (-27)\/(-6). Suppose 532 = w*z + 148. Let m = 165 - z. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12634*o - 2348 + 4707 - 2359)*(-3*o + 2*o + 3*o) to n*o**2 + p*o + y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -57872438*f**2. Let m(q) = -2*q. Calculate j(m(l)).\nAnswer: -231489752*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3.2. Suppose -34*r = -76*r + 32*r. What is the closest to r in w, -1\/9, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*l**5 + 1087 - 1089 + 10*l**5 - l**5 + 0*l**3 + 0*l**3 - 2*l**5 - l**5 + 5*l**5 + (2*l**3 + l**3 - l**3)*(l**2 - l**2 + l**2) - l**5 + l**5 + 2*l**5.\nAnswer: -64*l**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 4\/29, 2\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 10609753096?\nAnswer: -10609753056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -1, 80\/13, 5044 in ascending order.\nAnswer: -1, 4\/9, 80\/13, 5044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 232960 to the nearest 1000.\nAnswer: 233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let v(g) = g**2 - 90817*g + 6. What is v(t(a))?\nAnswer: a**2 - 90817*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 + 3. Let q be x(-5). Suppose 5 = -q*w - 4. Let v be 0*(0 - (-2)\/(-4)). Which is the third biggest value? (a) v (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -5*z. Solve z*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:46 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -13 - (12 + -7 + 0 - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 20*k**2 - 14373*k + 42998. Give t(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, -3\/7, -13964 in descending order.\nAnswer: 0.1, 0, -3\/7, -13964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 506166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23711437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6760249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(180\/(-8))*3\/(-2)*(-1520)\/(-76).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01368 * 0.4\nAnswer: 0.005472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-30) + 6\/9 + -1. What is the nearest to 0.1 in 5, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 42*w**2 - 107*w - 74. Let d be a(38). Let s(v) = 819*v - v**2 + 817*v - d*v. Let o(y) = y - y + 23*y**2. Give o(s(c)).\nAnswer: 23*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-9)\/1*22*(-23)\/759?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31952 and -1.241?\nAnswer: 39652.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4034933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 - 3*d - 5. Determine w(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*d + 6, -2*d + 902*n - 899*n + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x + 283. Let t be l(14). Suppose -3*j + 14 = 5*u, 29*j = 24*j - 2*u + t. Calculate the lowest common multiple of j and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207246.2 rounded to the nearest 100?\nAnswer: 207200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2. Let w(k) = -k**2 + 2*k. Let l(t) = 3*t**2 - 5*t. Suppose u = 4*o + 24, 4*o - u = 4*u - 40. Let s(j) = o*w(j) - 2*l(j). What is z(s(v))?\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -771503 + 4643785\/6. Let w = -2450 + k. Let j = 20945\/3396 - 1\/1132. What is the common denominator of w and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(6928 - 6742)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 2110 = 946. Suppose 4*a = r - a - f, 3*a = r - 183. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/4 and 73\/9330.\nAnswer: 18660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {q: 4, g: 1, t: 3, o: 1, n: 1, r: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834108 is divided by 2291?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -3) + (8 - 2). Suppose -t*p - 4*h = -16, -p = -2*h - h + 4. Solve 0 = p*d - 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**6\/40 - 7*h**4\/24 - h**2 + 9*h. Let d(b) be the first derivative of a(b). Find the second derivative of d(r) wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 6*y - 4*y)*(1 - 3 + 1) + 3 + 377*y + 462*y - 931*y.\nAnswer: -94*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11*((-9)\/3)\/3. Let b = -0.642 - -1.142. Sort b, j, -3 in ascending order.\nAnswer: -3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6*z + 8 = -7*z, -5*z = -5*i + 15. Sort i, -2, -49.\nAnswer: -49, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-21)*-3*8\/(-60)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-3)\/(-12) + (-5)\/10. Suppose -o + 3 - 1 = c. Suppose 3*n = -o*i - n + 1490, 3725 = 5*i + 2*n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.029 + -0.029. Let h = w + -32. Let d = 8 - 5. What is the biggest value in -4, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.368274 centuries?\nAnswer: 8841.9288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/196)\/(15\/21)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47 * 0.03\nAnswer: 1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 + -1 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4958.4705 rounded to the nearest ten?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/7*90\/360.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -1233, -2287, -3891, -6237, -9517, -13923, -19647?\nAnswer: -26881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233\/560 - 1\/80. Suppose -4*m - 2*l = -10, 285*l = 5*m + 288*l - 15. Put 4, j, m in decreasing order.\nAnswer: 4, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*0.243.\nAnswer: -1.0449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4 + 116\/28). Let w = 31 + s. Calculate the least common multiple of 16 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*d**3 + 117*d**3 - 189*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(40)*1)\/(sqrt(1152)*-3).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -8 - (6 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394582 divided by -5.\nAnswer: -394582\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -0.4, -172, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23140685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12514.4248 rounded to 0 decimal places?\nAnswer: 12514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*n**2 + n + 8 - 5 - 7 + 0 - 1 as f*n + p + k*n**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*n**2 + 22*n**2 + 49 - 42)*(150 - 68 + 287) to the form j*n**2 + g + c*n and give j.\nAnswer: -5904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 67*i**2 + 440*i - 127. Let z be f(73). Solve -12 = 31*w - z*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, 85, 194, 347, 544, 785?\n\"Answer: 22*g**2 - g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3109*r**2 - 3976*r**2 + 7087*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - sqrt(80)\/sqrt(5))\/sqrt(8) + sqrt(2) - (sqrt(648) + sqrt(2)) - (-5 + sqrt(4)\/(-1*sqrt(2))*5))**2*-2.\nAnswer: -726 + 260*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:07 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*r - 11. Let x be ((-301)\/(-49) + -6)*(-2)\/3. Put 2, x, r, -44 in descending order.\nAnswer: r, 2, x, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 95*i + 953. What is q(-11)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.9 - -52.9. Put -4, p, -2\/3 in descending order.\nAnswer: p, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/19, 2\/3, 3376, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**2 + 0*h**2 + 4*h**2 + 3*h**4 + 3*h**4 wrt h.\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15518.35 centimeters in micrometers?\nAnswer: 155183500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7120668*r**3 - 61*r**2 + 63391.\nAnswer: 42724008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/13)*v**(-19) assuming v is positive.\nAnswer: v**(-246\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/11, -0.5, -27, -1 in descending order.\nAnswer: 2\/11, -0.5, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2133946 is divided by 1066107.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = 0, -421*r + 426*r = 2*p - 10038. What is the greatest common divisor of p and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 + (-110 - 89) + -35?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31728, -63374, -95018, -126660, -158300?\nAnswer: -189938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -218*r + 188 - 1714. Let g = 0.01 - -4.99. Which is the smallest value? (a) 0 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 51. Solve -2*s = -s - 3*u - 10, -j*u = 3*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59928 divided by -33\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*r = 35. Suppose -3*d = r*b - 26 + 85, 3*d - 41 = 5*b. What are the prime factors of ((-65)\/b - 2)\/(3\/66)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**15*f**16)**(-2\/9))**(-4\/5) assuming f is positive.\nAnswer: f**(248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.3 (b) -2 (c) -3836633 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205.9 - -191. Let s = 2.1 - u. Let z = -17.0031 + s. Round z to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*d = 37 - 191, -3*s + d = -160. Suppose -i = 2*i - s. Solve 3*v + 9 = -5*z, -3*z + 3*v = z + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -2. Suppose -4*i = 2*k - 28, 0 = -k - 2*k - 4*i + 34. Let m(z) = 8*z - 27. Let r be m(k). Calculate the highest common divisor of n and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.4, -0.2, -34?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let d(x) = 4692*x - 9. Give i(d(f)).\nAnswer: 4692*f - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o + 2. Let g(i) = -2*i + 3 + 7*i + 0*i. Let d(h) = 3*b(h) - 2*g(h). Let y(n) = -2*n - 7*n + 5*n + 2*n. What is d(y(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3\/2*u**2 - 2 - 17*u. What is the tens digit of x(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-334)\/(-2171))\/((-2)\/(-119)) - ((-33)\/(-3) - 3).\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/12 - 45\/(-60). Let f = 5 + -3. Let t = f - 3. Which is the closest to -1\/4? (a) 1 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1983*a - 69092 = 481*a for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328200 rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-two sevenths of a week?\nAnswer: 1488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.2 minus 4081?\nAnswer: -4447.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -186, -465, -890, -1491, -2298?\n\"Answer: -5*w**3 - 28*w**2 - 44*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -202300?\nAnswer: 202223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5\/4 - u**4\/6 + 7*u**2\/2 - u. Let q(w) = -w**3 + 1. Let d be (-1)\/(-1 + (-2)\/(-1)). What is d*h(g) + 6*q(g)?\nAnswer: -g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 - 4. Let k(d) = -3*d**3 - 3. Determine 5*k(s) - 4*u(s).\nAnswer: s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:10 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 62698721 to the power of 1\/2, to the nearest integer?\nAnswer: 7918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(-3948)*98*20\/(-35).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1157290, 4629186, 10415678, 18516766, 28932450, 41662730?\nAnswer: 56707606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96346 and -0.09?\nAnswer: 8671.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 13 = -4*x, 3*f + 5 = 3*x - 1. Let v be (1 + 0 + -1)\/x. Suppose 3*n - m - 4*m - 20 = v, n + 3*m = 2. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70535 - 19278 = 78*t - 1641*t - 1534*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 0.26. Let d = 0.79 - v. Put 1\/10, d, -0.4 in descending order.\nAnswer: d, 1\/10, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7463174 is divided by 3731558?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 45 + -2 + (-1 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 + 4*a**2 + a**2 + ((1 + 0 - 3)*(a + 4*a - 4*a) + 4*a + 4*a - 5*a - 3370 + 3370 + 65*a)*(-36 + 10*a + 36).\nAnswer: 661*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.006261 - -39544.\nAnswer: 39544.006261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*p**2*x**3 - 18*p**2*x**2 + 17*p*x**3 - 12*p*x - 7*x**3 - 2*x**2 + 4 wrt x.\nAnswer: -234*p**2 + 102*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6735 = 4*q + 2*l + 625, -4*q - 3*l = -6111. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(((x*x*x\/(x**(-4\/13)*x)*x)\/x)\/x))\/x**(-1\/4))**37)**(-34))**(2\/5) assuming x is positive.\nAnswer: x**(1887\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 187 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, z: 1}. Give prob of picking 3 r and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from kck.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78934.15m to millimeters.\nAnswer: 78934150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422763 is divided by 1147?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 302484, 302483, 302482, 302481?\n\"Answer: -g + 302485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/5, 0.1, 1, 121?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 236*m**2. Let g(n) = -21349*n. Determine g(t(x)).\nAnswer: -5038364*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -28*q + 31*q - 12, 3*h = 4*q - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -0.015.\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125012 (base 6) in base 7?\nAnswer: 331265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = -4*g. Let y be (0 - -4)*g\/(-2). Which is the closest to 0.1? (a) 0.5 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 33 = 42*r - 39*r, -4*r + q + 26 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.22 or 1?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - p + 4. Let x(h) = -h**3 + 5*h**2 - h + 2. Let a be x(5). Let g be y(a). Calculate the lowest common multiple of g\/(-6) - 94\/(-6) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4416 - 4474.74. What is l rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 7*p**2 + 9*p + 2. Let j be d(-8). Let z = j - -9. Suppose 0 - 5\/4*m**2 - m**z - 1\/4*m = 0. What is m?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5817.061 millimeters to nanometers.\nAnswer: 5817061000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41*-2.506\nAnswer: 102.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7 - 32 = 0. Suppose i*g = g + 8. Let s(v) = g*v + v - 4*v. Let k(q) = -2*q. Determine s(k(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059429?\nAnswer: 19, 107, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Let v(y) = 3 - 3 + s*y - 4*y. List the prime factors of v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 76 + 54 - 51 - 291.\nAnswer: 3*h**3 - 364","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 3. Suppose 4*t - 413 = -77. Let d = 88 - t. Put m, d, -5 in descending order.\nAnswer: m, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81667 is divided by 91?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 1, n: 4}. Give prob of picking 2 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 3351.\nAnswer: -8\/3351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18, -83, 2, 7 in descending order.\nAnswer: 18, 7, 3, 2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**2\/2 + 8*n - 16. Let m = 43 - 37. Give q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 - 5*v + 17. Let x be j(5). Let z = 182 + x. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 10*t - 6. Let v be f(-9). Suppose -3*s = -v*u - 60, -7*u + 3*u = s - 20. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2\/8 + 302919*m\/8 - 302921\/4 = 0.\nAnswer: -302921, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + l - 8, -2*c - 6*l + 4 = -2*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -540*i**2 - 3716*i + 448.\nAnswer: -4*(i + 7)*(135*i - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/2172)\/(-2)*(5 + (-35)\/10). Let j(s) = -s**3 + 7*s**2 - 7*s + 5. Let v be j(6). Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 15824741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3 + 35585*f**2 - 316981887*f + 7271771103 = 0.\nAnswer: 23, 17781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxqbxzqxtxxqxxxqqqbu. What is prob of picking 1 x and 1 z?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 - 97*l**2 + 97*l**2 + (4*l**2 - 2*l**2 + 0*l**2)*(2 - 2 - 2)*(4*l - l - 2*l)*(-1 - 3 + 2).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let i(d) = -4*d**3 + 1. Let t be i(s). Let j(r) = r**3 - 5*r**2 - 2*r + 1. Give j(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/140 and 25\/308?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13805 is divided by 684.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/6 + u**3\/3 + 2*u**2 + 8*u. Let g(m) be the first derivative of x(m). Does 11 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4532, 4531, 4530, 4529?\n\"Answer: -r + 4533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5, -4, -0.1, -539?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-52)\/(-42))\/((-70400)\/660) and -17\/4320.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51372214 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.305115us?\nAnswer: 0.00000010508525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5) + 3 - -3 - (61 + -66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 7*r**2 + 2*r - 10. Let m be h(7). Let i be (4 - (-26)\/(-8))*m. Let v = i - -14. Solve 0 = 5*g + 5*n - 4*n - 28, 0 = -4*g + n + v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/16 or -1?\nAnswer: -39\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 2. Let o(g) = 17*g + 9. Let q(z) = -9*n(z) + 2*o(z). Let b(h) = 2*h - 4. Let t be b(5). Let a(l) = -t*l + 22 - 22. Calculate a(q(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27969?\nAnswer: 3, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3695172 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 - m**3 + m**3)*(-28 - 55 + 1) to s*m + t + d*m**3 + y*m**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 12*g - 4*g - 4*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*f**3 - 2)*(5*f + f + 6*f).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26568 divided by 73?\nAnswer: -26568\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1123*l + 1327*l + 491 + 843*l - 4120*l wrt l?\nAnswer: -827","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318755 is divided by 102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/429*13\/((-104)\/(-3))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -40*f**2 + 72*f**2 - 34*f**2. Let h(g) be the first derivative of -11*g**2\/2 - 2*g + 56. What is h(x(n))?\nAnswer: 22*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 2*h**2 - 3*h**2)*(887*h**2 - 1558*h**2 + 2069*h**2).\nAnswer: -2796*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a**2 - 38*a**2 + 73*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/1840340 and 71\/103472?\nAnswer: 1641583280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 600 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-3)\/30)\/(-4*(-1)\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 452\/32 + (-384)\/3072?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + -2 + sqrt(1872) + 0)**2 - ((sqrt(1872)*3 + -3)**2 + (2*(sqrt(1872) - (-2 + sqrt(1872))) - sqrt(1872))))*5.\nAnswer: -74845 + 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13.006. Let z = 6710 + -6700.294. Let b = f + z. Round b to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 2, -257, 5.\nAnswer: -257, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -1\/6 (c) 36 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 6 + 5 + 15*q + 2*q**2 + 2. Give j(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 1025218.\nAnswer: -19\/512609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48543949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Suppose 0*b - t*b = 0. Let y + 3\/2*y**2 + 1\/2*y**3 + b = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2583\/(-6))\/(((-5)\/(-440))\/((-20)\/16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/4 - w**2\/4 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 5*b**4\/3 - 2*b**3\/3 - 6*b**2 + 4*b. What is the hundreds digit of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(-15)\/(((f*f**(-7)\/f)\/f)\/f)**(-34) assuming f is positive.\nAnswer: f**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 17. Let k be z(-8). Let d be (691\/(-1) - -3) + k. Let u = d + 2099\/3. Which is greater: 12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295.8 - -76.8. Which is greater: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123 - -223300?\nAnswer: 222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 62. Put 0.1, r, -8\/37 in descending order.\nAnswer: 0.1, -8\/37, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2497339 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2. Let b(r) = -1028*r + 6. Calculate b(a(j)).\nAnswer: 2056*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 583305740557 and -0.04.\nAnswer: 583305740556.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = -6. Let i(k) = -k - 31. Let p(t) = -t**2 - 3*t + 64. Let y(c) = -2*i(c) - p(c). Calculate y(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6497 - 3\/(-1) - (-3 - -3). Round o to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7656992*0.3\nAnswer: 2297097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(2 + -2))\/(-11 - -12). Let a(s) = 2*s**2 - s + 55. Let y be a(k). List the prime factors of (422\/(-10))\/((y\/25)\/(-11)).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59 + -230753315183.\nAnswer: -230753315183.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 + 3. What is the nearest to 0 in 0.4, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 37.\nAnswer: 225\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -2, 99, 310, 667, 1206, 1963, 2974?\nAnswer: 4275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-1276)\/(-174))*(-2)\/(-12)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (147*t + 35*t - 12*t)*(1 + 0 - 12) to the form d*t + q and give d.\nAnswer: -1870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - d - 21 = 0, -34*d + 24 = -30*d. Suppose 6*l - 12 = 3*l. Suppose -2*h = -6, -5*u - 2*h - 7 = -28. Solve -b = -k + 2*g + u, l = -g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -221, 11483 in increasing order.\nAnswer: -221, 0, 4, 11483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 596963\/440976 - -4\/9187. What is the common denominator of w and -131\/2784?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + t + 15 = 0, -4*a + 3*t + 17 - 4 = 0. Suppose -2*k + 62 = -a*g, 3*k - 5*g = 2*k + 46. What is the remainder when 62 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17071445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 6*r = 3*o - 42, 4*o = -2*r + 48. Calculate the highest common divisor of o and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + r = -35 - 2, -o + r - 11 = 0. Let g be 4\/o*196\/(-6). Factor -g*t**3 - 32\/3*t + 77\/3*t**2 + 4\/3.\nAnswer: -(t - 1)*(7*t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h**2 - 6*h**2 + 7596*h - 15201*h - h**3 + 7654*h - 10 - 14. Calculate d(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {w: 5, u: 1, o: 2, y: 8, v: 2}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1682*i**3 + 20*i - 2931. Let y(v) = 1683*v**3 - 25*v + 2932. Let t(w) = 5*r(w) + 4*y(w). What is the derivative of t(b) wrt b?\nAnswer: -5034*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-772)\/1737)\/(8\/30).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 227.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -272 + 541. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -616013?\nAnswer: 616010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(50)\/sqrt(90))**2 + (-6*sqrt(10)\/sqrt(2))**2.\nAnswer: 1700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-14)*(-11)\/(-198)*-6. Sort 4\/9, 3, z in descending order.\nAnswer: 3, 4\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.5, -0.01, 26, -42, -0.13, 2, 0.4?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18)*(-38811)\/2283\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.6 + -7. Let b = g + -0.1. Let y = -5 + 6. What is the closest to -2\/3 in y, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58772.3869 to the nearest 1000.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 11. Let k = 11.8 + g. Let z = 3 - k. What is the biggest value in -2, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15642, 0, -3, 2, 3 in descending order.\nAnswer: 3, 2, 0, -3, -15642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 7. Let z be m(-5). Solve -i + 0*k + z*k = -6, 4 = 2*i - 2*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let w be 23 - (-3 - (-4 + u)). Solve w = -5*v - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z**3 - 23*z**2 - 2 + 23*z**2.\nAnswer: -27*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 35*g - 19. Suppose 8*v + 57 = -11*v. Let o be d(v). What is the hundreds digit of o*6\/(-8)*35\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558596 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5683 + 613 = 0. Let n = k + -1069. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let y = 516 + -517. Sort d, y, 5 in decreasing order.\nAnswer: 5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 352\/3, -2\/87, -0.1 in decreasing order.\nAnswer: 352\/3, -2\/87, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/4 + 2809*q\/4 + 8391 = 0. Calculate q.\nAnswer: -2797, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024055 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1321 = -0*i - 16*i + 15481. Calculate the greatest common divisor of 708 and i.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y + 3724 = -69*y + 12319 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*i + 1, -2*k + 15 = -0*i - 5*i. Let l be k\/(-2*2\/(-152)). Let z = 760 - l. What is z rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5 - 690*z**4 + 186900*z**3 + 27005570*z**2 - 27191775*z = 0.\nAnswer: -167, 0, 1, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at most 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*x - 42 = 53*x. Suppose y = -y + 8. Suppose -y*p + 95 = -3*p. Calculate the remainder when p is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 3*l = 39*l + 4*x - 74, 11 = l + 5*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 72 = 67, 5*z = -4*m - 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-90) + 274\/204?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - ((-44 - -15) + 34).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 6. Let i be q(7). Let t be (-4 - -2)*i\/2. Suppose 0 = -3*h + 4*h - 1. Is h > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37660519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 + 2271*m**2 + 108*m - 81756 = 0. What is m?\nAnswer: -6, 6, 757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -3, 0, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2070 + -31?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.6 - 32. Let h = -0.18 - -0.38. Is h greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 44854.\nAnswer: -44854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + 0 + sqrt(68)*2 - 4*(sqrt(68) + -3 + 5))**2.\nAnswer: 88*sqrt(17) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667471646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1126 + 1136. Let s be 10*1 + 1 + 1. Solve -t*r - 10 = -s*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3304908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u + 43*u + 38*u - 133*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256 is divided by 3159.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 3*b**3 + 11*b**3 - 9*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000722342 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -2\/3 (c) -0.7 (d) 2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -1 - -2)*15\/(-30). Suppose l = -4*a - 2 + 10. Suppose 2*w - 45000000 = -3*d, d = a*d - 3*w - 15000000. What is d rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14*a**2 + 49*a + 17. Let f(m) = 70 - 130 + 66 - 348*m**2 - 352*m**2 + 695*m**2 + 16*m. What is -11*f(s) + 4*g(s)?\nAnswer: -s**2 + 20*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 240065263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:07 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1830101 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9)*-3 - 2. Let c be 4\/(16\/4) - p. Put -11, 4, c in descending order.\nAnswer: 4, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 396 + -380. Suppose -2*k + f - 7 = -3*k, -28 = -4*k + 3*f. Suppose k*j - 3*j = t. Solve 4*s - 12 = 4*u, u - 5*s + j = 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 2*u - 2 + 0*u)*(-3831*u - 3308*u + 7435*u + 22588*u + 16093*u) in the form g*u**2 + p + w*u and give w.\nAnswer: -77954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 10. Let l = u + -8. Let b = l - -3. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 35*j - 53*j + 8*j + 6*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 43.98?\nAnswer: -571.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -442 - -888. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 91*r**3 - 21*r**2 + 25*r**2 in the form g + d*r**2 + o*r**3 + h*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6817, -4, 5, -5 in descending order.\nAnswer: 6817, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1377650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + -1 - (89*-10 + -6).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 3*b**2 - 16*b**3 + 7 + 32*b**3 - 9*b - 15*b**3. Solve x(i) = 0 for i.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4513 is divided by 256.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 61, -3, -81, -167?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149307 and 29481.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 8, 0.5, -4, -1.4 in ascending order.\nAnswer: -4, -1.4, 1\/4, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2409713 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -210021 (base 5) in base 11?\nAnswer: -51a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x**(-34)\/x)\/x)))\/x*x\/x**(-12\/11)*x**29*(x**(-2\/45)\/x)\/x assuming x is positive.\nAnswer: x**(-3937\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 1\/5*t**5 + 6\/5 + t - 8\/5*t**2 - 6\/5*t**3 + 2\/5*t**4 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 67 = 57. Let o(f) be the first derivative of -7\/2*f**p + 0*f**4 + 0*f**5 + 0*f**3 - f**6 + 2 + 0*f. What is the second derivative of o(h) wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2260 = -13*o + 68*o + 58*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (-8)\/3*(-34 - -25)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -535 + 926. Suppose -3*c + 21 = 3*m, -4*c + c + 2*m = -11. Suppose -c*o + 149 = -g. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384\/288*4518\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*d + 11*d + 846. Let v = -96 + d. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = 2*c - 17, -3*c + 5*i + 14 = 0. Let q = -1 + c. What is the remainder when q is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 16 = 6*c - 4*v, 0 = 5*c - 5*v - 35. Solve c*x - 6 = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/24*2\/(-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k + 5. Calculate the least common multiple of c(-2) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111011110100011000110010 - 1000?\nAnswer: 110111011110100011000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 2. Let o(d) = -455*d**3 - 5*d + 683. Let s(p) = -o(p) - 5*w(p). What is the derivative of s(h) wrt h?\nAnswer: 1365*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.41 and -6?\nAnswer: -104.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7963159 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89270)\/904 - ((-5)\/30*2)\/((-64)\/48)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = i, o - 4*i - 16 - 4 = 0. Suppose o = -158*d + 155*d + 6. Suppose -3*g = g - 48. What is the least common multiple of g and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418.55 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100010110100011101 (base 2) to base 3.\nAnswer: -202120020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 79*f**2 - 3 - 33036*f**3 + 1.\nAnswer: -33036*f**3 + 79*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1101111110111101111111?\nAnswer: -1101111110111101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 51. Suppose -u*k = 10 - 22. Find the third derivative of -12*i**3 - 14*i**3 + 3*i**2 + k*i**2 wrt i.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-3) - 6\/(-18). Let b = 4 + v. What is the second derivative of 7*j - 2*j**2 + 22*j + b*j**2 - 16*j**2 wrt j?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 252.034 and 1.11?\nAnswer: 250.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165872601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.74 minus -0.170293?\nAnswer: -6.569707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:38 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 5, 2 in ascending order.\nAnswer: -46, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131819613.\nAnswer: 3, 107, 167, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 81*u + 1705. What is m(-17)?\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:29 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57049 and 2136.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.475s to microseconds.\nAnswer: 495475000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2142.542 from -3.3.\nAnswer: -2145.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 11:58 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -21*i + 14*i + 2 + 3*i. Give q(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -184 in decreasing order.\nAnswer: 4, 0, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 - 3. Let f be (-2)\/(-9) - (-24)\/54. Which is the third biggest value? (a) -1 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 948 divided by 79\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3634637552 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**3 + 36*l**4 + 5*l**3 - 26*l**4)*(56*l - 260*l + 16*l + 75*l).\nAnswer: -1130*l**5 + 113*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289520 divided by -73?\nAnswer: -3289520\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22 (b) 0.01 (c) 0.4 (d) -43 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*d**3 + 308*d**3 + 21*d**3.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -g + 81 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3200981 and 1129758.\nAnswer: 19205886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -631, -945, -1257, -1567?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 18*x = 0. Suppose x = -4*f - 298 - 162. Which is smaller: f or -114?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**3 + 5*i**2 - 19*i + 7. Let h(x) = -7*x**3 - 3*x**2 + 9*x - 4. Determine -10*h(u) - 6*k(u).\nAnswer: 4*u**3 + 24*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l**(-2\/3)*l)\/l)\/l)**(-38)*l**(2\/17)\/(l*l**1))**14 assuming l is positive.\nAnswer: l**(16744\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3119.58 to the nearest ten.\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/231)\/(16\/(-176))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354354.9 months to millennia.\nAnswer: 29.529575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 + 15*k**4 + 3*k**3 - 39*k**2 - 6*k + 24 = 0 for k.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2076.88 + 2118. Let i = u - 42. Round i to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 17. Let f = -0.4 + 0.7. Which is the closest to f? (a) -2\/7 (b) -6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gif when three letters picked without replacement from ikiiiigfiiikiigfgkg.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 35. Let w(n) = 4*n + 70 - 66 + 0*n. Does 6 divide w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*o + 3*o. Is (58*o\/2)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) -67 (c) 1 (d) 4 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 76 = -3*v, 24 + 74 = -4*v - 2*i. Let l(j) = -j**2 - 29*j - 1. List the prime factors of l(v).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3797*a + 7868*a = -9902*a - 194103 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-65)\/(-26)*8\/5. Let m(a) = t*a + 31 - 31. Let j(d) = -d**2 - 2. Let h(l) = -4*l**2 - 7. Let b(s) = 2*h(s) - 7*j(s). Calculate b(m(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 23*m - 113, 0*l - 2*m - 5*m = l - 20 - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722173 is divided by 653?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:51 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/1 + 1 + 3. Suppose 0 = -g*j - j - 6, -2 = p + 3*j. Solve p*y - 10 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 429? (a) -1\/7 (b) -0.5 (c) -0.39944 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/2993 and 44\/1025.\nAnswer: 74825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65296.\nAnswer: 2, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 8. Let a be d(-4). Let l(h) = 262*h**2 + 7*h - 19. Is l(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 5*t**2 - 5*t + 3. Let x be s(-4). Suppose 2*u = x*u - 30. Suppose -r + u*r = 10. Calculate the remainder when 5 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 8*k**2 + 2*k + 2. Suppose 0 = -2*s + 4. Suppose -a + 16 = -s*t + 4, -2*a + 20 = -2*t. What is the units digit of b(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.1. Sort -0.1, u, -1\/7 in decreasing order.\nAnswer: u, -0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 9. Suppose -4*p - 1 - 3 = 0, -29 = t + 2*p. Let v = -21 - t. What is s(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v - 1. Let u(x) be the second derivative of 2*x**3\/3 + 920*x. Give 3*l(g) + 5*u(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 43792*h**2 + 3797904*h - 24363072 = 0.\nAnswer: -92, 6, 11034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 10015.\nAnswer: -200.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-85))\/((-2)\/(-5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 24298.77 months?\nAnswer: 20.248975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47768, 382135, 1289668, 3056939, 5970520, 10316983, 16382900?\nAnswer: 24454843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5546033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/14*-150 - 2\/(-7). Suppose -5*c + 21 = p. Solve -2*j + c = 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8*x + 247 = 3*x, -r - 3*x + 83 = 0. Suppose 5*p - p = r. What is the highest common divisor of p and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 5196*y - 1272 - 1156 - 2702 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1430 + 699. Let p = j + 729. Let k be (-4 + 1)*(-4)\/(-18). Which is the fourth biggest value? (a) -0.1 (b) p (c) -0.3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2 - 13 = 6 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 2*p + 189. Let h(n) = 2*n**2. What is j(h(o))?\nAnswer: 4*o**4 + 4*o**2 + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 7*u**4\/12 - u**3\/6 - 3*u**2. Let n be b(2). Is n + (-1 - 0) - 2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a day in minutes?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:58 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 10*k**2 + 9*k + 7. Suppose -245*u - 36 = -249*u. Give a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257264.55 seconds in minutes?\nAnswer: 4287.7425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 6. Let c(y) = y - 1. Let m(f) = -3*c(f) + i(f). Differentiate m(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*l + 7380 = 88*l. Suppose -5*g - 5 + 250 = 0. Let n = g + l. Solve -o - 2*c = -3*o, 3*c + n = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9\/(-6)*110\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*o*x + 3*o - 65*x - 5 wrt o?\nAnswer: 17*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(108) + 4*sqrt(108) + -4 + 1 - (2 + sqrt(108) + 2)*-3)**2.\nAnswer: 864*sqrt(3) + 6993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3526329 and 397551.\nAnswer: 5163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3827251888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-6) + 10\/(-15). Let f be (-7)\/(-4) - 1\/n. Let p(c) = -10*c - 26. Let h be p(-3). Solve f*g - 6 = o - h, -4*g + 3*o = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/22)\/h*h**(-20)\/h assuming h is positive.\nAnswer: h**(-483\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612 and 346545.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3 + 2894*a**2 - 40229*a wrt a?\nAnswer: 24*a + 5788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10275 is divided by 116.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiinnniii. Give prob of sequence iini.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(-4)*f*f*f)**44\/(f*f**(-7)*f\/f**(-14)) assuming f is positive.\nAnswer: f**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*n - 40, -5*x = 4*n - 44. Suppose 0 = -x*q + 531 + 357. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3 + 55120*n**2 - 379776800*n = 0.\nAnswer: 0, 13780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 4, -2\/9, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223.8 + -223.6627. Round n to 3 decimal places.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*r + 27 = 0, 5*b - 67 = -282*r + 280*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -0.036.\nAnswer: -0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 619634 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4573*k + 588 = 4622*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93930, -375840, -845698, -1503504?\nAnswer: -2349258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -9*y**5 + 1020*y**4 - 2932*y**3 - 39710*y**2 - 84259*y - 48510 = 0.\nAnswer: -7\/3, -1, 9, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -133? (a) -0.2 (b) -8 (c) 116 (d) 3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2)*(-2*d + d + 3*d) + (d + 2*d - d)*(-2 + 0 - 3))*(-2*d - d + 2*d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*h + 3*h + 18, 0 = 4*l - 4*h - 44. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -135, -133, -131, -129, -127?\n\"Answer: 2*j - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5311, 10794, 16429, 22210, 28131, 34186?\nAnswer: 40369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 0*g**2 - 4*g**2 - 233*g**2 - 148*g**2 - 339*g**2 + (-2*g + 0*g + g)*(0 - g + 0) to k + z*g + p*g**2 and give p.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.77881628 to two dps.\nAnswer: -1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1679 and -4?\nAnswer: 6716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (5 + -2 + -9)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -342*k + 9592. Give g(28).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/3 or 31847047?\nAnswer: 31847047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 - 2*a**3\/3 - 4*a**2. Let d = -301 + 294. Let u(i) = -2*i - 9. Calculate d*x(z) + 3*u(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 1668926?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 30, -22, -5, 1\/2, 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 25 = 4*l, -2*l - h + 9 + 0 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**6\/120 + n**5\/12 + n**4\/3 - n**3 - 11*n**2. Let q be k(6). Differentiate q*c - 30 + 18*c + 2 + 4*c with respect to c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2055 and -22596\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*w - 180, 0 = -p + w - 4*w + 60. What is the greatest common factor of p and 1068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8808859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**5\/45 + 7*k**4\/18 - 520*k**3\/9 - 80*k**2 + 7*k + 1. Factor x(g).\nAnswer: 4*(g - 13)*(g + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460 + 2*l + 460 - 3*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 2. Let g(x) = 2*x**3 + 5. Give 2*g(j) + 5*q(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 100915781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, a: 7, e: 6, v: 1}. Give prob of sequence xe.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12072\/61 or 2\/595?\nAnswer: -12072\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9462 and 5106326?\nAnswer: 15318978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Suppose h - m = -d*m + 127, 5*h - m - 656 = 0. Round h to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1331317 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 1\/24*b**4 + 110*b**2 + 7\/20*b**5 + 0 + 17\/6*b**3 + 0*b. Find the second derivative of d(p) wrt p.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 26*t = 329. Calculate the greatest common divisor of 49 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*s + 5*z, -916*s + 921*s + 5*z - 190 = 0. Suppose 177 = 4*o - 4*d - 147, -81 = -o + 2*d. What is the least common multiple of s and o?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2017, -4033, -6049, -8065, -10081, -12097?\nAnswer: -14113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95\/13 + 2729\/377. Let r(f) = 3*f + 5. Let l be r(-2). Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -52. Solve -3*i = -0*i + 5*h - 7, i = j*h + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9311 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -162, -374, -670, -1050?\n\"Answer: -42*j**2 - 2*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 19. Calculate w(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7818, -1, -3, -6, 6, 14, -4 in ascending order.\nAnswer: -7818, -6, -4, -3, -1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 0*a - 108 = 0. What is the units digit of 2*133 - (0 + 13 + a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let b = -1.2 - x. Let f = 0.1 - b. Put 0.4, -1, f in ascending order.\nAnswer: -1, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1053, 1132, 1233, 1356, 1501?\n\"Answer: 11*q**2 + 46*q + 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5402723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 69, -3\/19, 0.046 in ascending order.\nAnswer: -3\/19, 0.046, 1\/3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-33251.\nAnswer: -13300.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((120\/32)\/(1\/52176))\/((-5)\/2500). Round u to the nearest 1000000.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - j = -13, -4*x + x + 159*j - 163*j = -63 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/1440 - 11*s**5\/45 + 899*s**4\/288 - 181*s**3\/12 + 10*s**2 - 151*s. Factor c(h).\nAnswer: -(h - 3)*(h - 2)*(h + 181)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d + 145809 = 2023016. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -145*f**3 + 6*f**2 + 3. Let g be r(-2). Is -0.1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*x**2 - 6*x**2 + 3*x - 3*x + 14*x**2.\nAnswer: 11*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 8. Let v be x(10). Let f be (-285)\/(-9) - ((-10)\/(-6) + v). Let a be -4 - (f\/(-4))\/(1\/1). Solve -1 = a*z + 4*p - 17, 3*z = p + 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*1*-6. Let k(g) = 3*g - 3. Let o be k(9). Suppose w - 2*d - 3 - 8 = 0, 3*d = 4*w - o. Solve -4*l + 3*q + 11 = w, -a*q + 12 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6 + 27 - 12 - 2 + n. Let z be w(-9). Put z, -1, 5, 6 in decreasing order.\nAnswer: 6, 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = 58*g - 131 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d - 1. Let n(y) = -y. Let g be (-2)\/2*(1 + -4). Suppose -15 = 2*q + g*q. Let b(f) = q*n(f) + t(f). Determine b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = -22. Let u be 4*15\/48*4. Suppose u*p - 5*y - 73 + 23 = 0, -5*p - 3*y + 42 = 0. What is the highest common factor of p and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 7*w + 4. Let v(l) = 4*l + 12. Let p(x) = 2*x + 6. Let a = 10 - 16. Let c(t) = a*v(t) + 11*p(t). Let r be c(-5). Give i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2785.\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26734165, -53468329, -80202493, -106936657?\n\"Answer: -26734164*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + 4*z**4 + 2*z**4 + (15805 - 15805 + 435*z**2)*(-1 - 2*z**2 + 1).\nAnswer: -867*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -84538\nAnswer: 507228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + v + 24, 4*v = -y - 0*v - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l**2 + l. Determine u(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2270)\/16*2 - 18\/(-24). Is k\/(-5) - 22\/(-55) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -5*s + 5*k - 5, -k = -2*s + 10. Let p(m) be the first derivative of 0*m**4 + 3 + 0*m**2 - m + 2\/5*m**s + 0*m**3. Differentiate p(v) wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 + 14*v + 6. Let c(t) = 6*t**3 + 15*t + 7. Let n be -1 + 1 + (-1902)\/(-270) + 22\/(-495). Determine n*h(l) - 6*c(l).\nAnswer: -l**3 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119456 is divided by 123?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 3*v + 1. Let t be s(3). Let w be (1 + 6*16)*t. Suppose -553 = -5*c + w. What are the prime factors of c?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x = 48*x + 6. Let i(k) = -k**2 + 5*k - 4. Let p be i(3). Let n = p - 6. Put x, n, 5 in increasing order.\nAnswer: n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133565.35 rounded to the nearest one thousand?\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 128\/(-462) - (-18)\/99. Which is the closest to j? (a) 2 (b) -3\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0*h**2 + 0*h - 2\/3*h**4 - 1\/3*h**5 + h**3 + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -158, 16.\nAnswer: -158, -2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3770\/3718 - 72\/66?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 104*z**2 - 2*z**3 - 3*z.\nAnswer: -2*z**3 + 104*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 24694000607.1?\nAnswer: 24694000607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*1*((1*sqrt(136))\/sqrt(8) - sqrt(34)\/(sqrt(32) - sqrt(2))))**2 + (sqrt(204) - -6*2*sqrt(204))\/(sqrt(1452)*-2)).\nAnswer: -68\/3 + 39*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303083 to the power of 1\/2, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 12) + -1 + 1 + 0 + 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/4847 - -170861\/1473488. Calculate the common denominator of -29\/133 and d.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 205*p - 203. Let k be c(1). Put 1, -2, k, 6 in ascending order.\nAnswer: -2, 1, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 18. Let u = -15 + 11. What is the units digit of s(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203\/6 - -34. Let r = 0.3415 + 0.1585. What is the closest to -0.1 in r, -2\/9, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 3*l - 15, -8*l + 15 = -7*l + 5*z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-120))\/(10\/12*2\/5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnrmmrcd. What is prob of picking 1 d and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, 2\/5, 0.15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2225195 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8086 + 11337. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 814 - 827.9. Let h = -10.9 - k. Which is the nearest to 0.1? (a) 12.5 (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*4317\/(-7195)*(-35)\/13?\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2 - sqrt(72)) + sqrt(98)*-4.\nAnswer: -46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 85 = -2*q. Let p(c) = -c**3 - c**2 - c - 2. Let s be p(-2). Suppose 0 = 5*l - s*l - 13. Solve 4*i = 3*z - l, i = 5*z + 4*i + q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (38 + -19 - 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/2, 2, -298.25, 2\/9, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 525 = 63*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4906 = 31*p. Round p to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 - -1.2. Let d = -0.05 - b. Round d to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9292 is divided by (-2)\/4*(-13 - -19 - 230).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 + 18 + (7 - 85)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l - 1. Calculate the least common multiple of s(-1) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1104*d**6 + 2*d**4 - 363*d**2 wrt d.\nAnswer: 132480*d**3 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - k + 19. Determine h(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:57 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-126)\/5)\/((-68)\/170). Calculate the greatest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) 62 (c) -222\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 8*l**2 + 8*l + 10. Let a(c) = c - 4. Let n be a(-3). Let w be t(n). Let d = -6 + 11. Solve -2*p + 18 = -w*y + y, -15 = -y - d*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (1 + (-135)\/30)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/6)\/(175\/735). Solve -k + 0 = 7*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2143857 = -172*g - 126297. Does 30 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)\/(((o\/o**(-4\/7))\/o*o*o)\/o))**(-47))**(4\/29) assuming o is positive.\nAnswer: o**(4888\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -228*x**2 - 8*x + 8. Calculate u(1).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/4 - 149*l**3\/2 + 453*l**2 - 2033*l. Solve b(v) = 0.\nAnswer: -151, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-12)*9\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (80\/(-5))\/4. Let y be k\/5 - (-32)\/80. Let c be (-16)\/(-56) - y\/7. Put c, 0, -2 in increasing order.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c = 153*c + 110*c + 600 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3269*l - 189. Let y(p) = 176*p + 10. Determine -3*n(x) - 56*y(x).\nAnswer: -49*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959*j + 63 = 968*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3781*k**2 + 728*k**2 + 666*k**2 to the form x*k + t + b*k**2 and give b.\nAnswer: -2387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/3*(-3)\/(-2). What is the units digit of 6\/12 + (-17)\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, -9, -51, -131, -261, -453, -719, -1071?\n\"Answer: -2*q**3 - q**2 + q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -0.2 (b) -2 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7795 - 423?\nAnswer: 7372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.602009 less than -0.03?\nAnswer: 0.572009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from {p: 1, k: 4, w: 3, t: 2, e: 4}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 12.1323, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1.1. Let o = n - 0.2. Let k be ((-8)\/(-130))\/(2\/(-5)). Which is the second smallest value? (a) o (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 12:40 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7806511 minus -15.146?\nAnswer: -7806495.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 35.5. Let f = -23.5000615 + p. Round f to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*k - 5*h - 94, 25*k - 4*h + 3266 - 3256 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, -7, -170, -493, -1030, -1835, -2962, -4465?\nAnswer: -6398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = 0, 5*g - 50 = -3*m. Suppose -g = 4*h - 30. Solve -2*i - h = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/3 (b) 2 (c) -5 (d) 0.2 (e) -241\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649200?\nAnswer: 2, 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let x be -1 + (-7 - -9) + -2. Let m(l) = 2*l. What is x*m(r) + 3*q(r)?\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:42 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 17, f: 2}. Give prob of sequence zzf.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144668723659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1924 + 1924.4. Let m = -48 - 33. Which is the second smallest value? (a) -3\/2 (b) -1 (c) o (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let z = 17\/9 + -20\/9. Is x <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -419, -4 in descending order.\nAnswer: -3, -4, -5, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.8406 minutes in microseconds?\nAnswer: 13850436000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 2*k + 5. Let c be b(-4). Suppose c - 125 = -8*v. Suppose -3*n - v = -3*m - n, -2*m + 13 = 5*n. Solve -5 = m*f - l, 4 = -4*f - 3*l + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -3*m**4\/4 - 9*m**2\/2 - 25*m + 3. Let f(v) = -v**3 - 2*v - 6. Let b(s) = 9*f(s) - 2*g(s). Differentiate b(d) wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + -18.85. Suppose -3*d + 3*k + 21 = 0, k - 4 - 4 = -4*d. Which is the closest to 0.2? (a) u (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8898 + 17344 = 4*l, -l = g - 6564. Let m = -4331\/10 + 314702\/45. Let o = l - m. Find the common denominator of o and -17\/78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -16. Calculate the greatest common divisor of z and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/43 or 1968\/191?\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2380 divided by 2535\nAnswer: 476\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -11*h**2 + 19 + 1\/3*h**3 + 121*h. Factor q(u).\nAnswer: (u - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -11543?\nAnswer: 11541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -141, -280, -421, -564?\n\"Answer: -f**2 - 136*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(44)\/sqrt(4) - sqrt(11)) + sqrt(132)\/(sqrt(108) - sqrt(12)) - -4*sqrt(33)\/(sqrt(15)\/sqrt(5)))*-3 + -5)**2.\nAnswer: 195*sqrt(11) + 16831\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17828, -17829, -17832, -17837, -17844?\nAnswer: -17853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from cevcc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -645, 6, -4\/9, -1.23, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.55 rounded to zero decimal places?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/54 and 32\/35721.\nAnswer: 71442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10164291 smaller than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a**2 + 3*a - 9. Let m be c(6). Suppose 7*j = -4*y + 4*j + 32, y - 5*j + 15 = 0. Let o = m - y. Solve -z - o*z = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-12))\/((-3)\/279). Suppose 3*x + 29 = -4*u, -3*x - x + u - 64 = 0. Let p = x + f. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 1, 5, -2, -164 in increasing order.\nAnswer: -164, -2, 1, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*x - 2 = 0, 0 = 3*o - 4*o + 4*x + 22. Calculate the remainder when 15 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/24)\/(s**(-2\/23)\/s))\/((s*s**(-8))\/((s\/(s*s*s*s*s**(1\/7)*s))\/s)))**43 assuming s is positive.\nAnswer: s**(482245\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 l when four letters picked without replacement from {l: 8, a: 7, o: 3}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 92987 - 43298 = -5*v, 4*v = 3*p + 109028. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/(-1225)*(-1)\/(2*1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -36*n**3 + 142*n**2 + 3*n + 20. Calculate u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 79 = 5*q, 5*q - 79 = -x + 2*q. Suppose -x = -b - 26. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 2991.\nAnswer: 8973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7\/3)\/u**(1\/8) assuming u is positive.\nAnswer: u**(-59\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**6\/120 + t**3\/6 + 7*t**2 - 3*t - 15. Let q(f) be the second derivative of v(f). Give q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 8*q + 1. Let z = -21 + 53. Suppose 5*n - 5 = -4*k + z, k - 3*n = 5. What are the prime factors of u(k)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, a: 1, d: 3, g: 8}. What is prob of picking 1 a and 3 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 856\/428*674*-100*-25. Round s to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 24924*v + 521640.\nAnswer: 4*(v - 6210)*(v - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from {o: 3, c: 7, n: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15089 and 1604209.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (21 - 8) + -20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + 5*o)*(-4*o**2 + 2*o**3 + 4*o**2) - 2*o**4 + 3*o**4 - 2*o**4 - o**4 + 2*o**4 - 3*o**4.\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = -2*c, -8 = 4*c - 0*c - 2*v. Suppose -3*d + 13 = b, -3*b + 5 + 4 = -d. Solve c = -s + 4*m + 16, 2*m + 30 = -b*s - s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 9*t**2 - 8*t + 3. Let c be b(-8). Let x be (-40)\/15*c\/(-2). Suppose -4*u - 1 = -17. Solve 2*y + u = x*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4466 take away 9123.05?\nAnswer: -4657.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*s - 219*s + 660*s - 209*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 683231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)\/(1\/6). Let b be 1\/(-4) - 1071\/o. Suppose 3*x = -3*p + 4*x + b, -4 = -x. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(360) - sqrt(40)) + sqrt(40)))\/(sqrt(968)*2).\nAnswer: -3*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(1\/17)*z\/z**9 assuming z is positive.\nAnswer: z**(-120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(sqrt(612))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose 0 = -11*h + 5 + 17. Solve 3*w - 3*k - 12 = h*k, t = k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 16*y - 83. Determine j(9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022297 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 + 133 = -6*i. Let d = 71 - i. Calculate the greatest common factor of d and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10.2 and 0.1862 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -8130801589727.\nAnswer: -8130801589726.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llfqlfofilo. Give prob of sequence qoif.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -11*n + 23. Solve -n*r + 8*r = -4*q + 13, 0 = 5*q + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13008611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1383 + -9?\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -1\/120*y**6 - 1\/6*y**3 + y**2 - 1\/60*y**5 + 1\/8*y**4 + 0 + 0*y. What is j(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70, 34, 144, 260, 382?\n\"Answer: 3*x**2 + 95*x - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3237*x**2 + 20700 - 41408 + 20708.\nAnswer: 3237*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9343839*r**4 - 9378560?\nAnswer: 37375356*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - -156. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3395 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3*d + 3*d)*(-d**3 + d**3 + 2*d**3) + (1 + 2*d - 1)*(2*d - 2*d - 3*d**3).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(sqrt(432) - sqrt(27) - sqrt(27))**2.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12573291 from -23.\nAnswer: -12573314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = f. Let m(c) = 9*c + 17. Let h be m(6). Suppose -h*q + 75*q - 8 = 0. Put f, q, 1 in decreasing order.\nAnswer: q, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:10 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2*f**3\/3 + 9*f**2\/2 + 13*f - 962. What is y(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -174644.61 to the nearest one thousand.\nAnswer: -175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6135390 and 16650?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, g: 12}. What is prob of sequence gt?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -3 in decreasing order.\nAnswer: 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174335264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000164129174 to 6 decimal places.\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhxx. What is prob of sequence bxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.3, -4, 4, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 585.5 - 35.5. Let h = -549.8 + r. Sort h, -2\/3, 0.01 in increasing order.\nAnswer: -2\/3, 0.01, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760332 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1446224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(21))\/sqrt(7).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145376*k*n**3 + 888*k*n - 146*n**3 - 2231*n**2 - 90*n - 2 with respect to k.\nAnswer: 145376*n**3 + 888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvcocv. Give prob of sequence oc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 26 + -1 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 23 + 19*k**4 + (-100*k**4 + 252*k**4 - 83*k**4)*(2 - 2 - 3) to g*k**3 + w*k + s*k**4 + u + z*k**2 and give s.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30.5 or 1\/206746?\nAnswer: 30.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 2*w**2 - 2*w - 11. Give u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4322750129.\nAnswer: 47, 1956881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 7 = 273. Let x(r) = -r**2 + 1 + 44*r - z*r - r**2. Let m be x(-7). What is m rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 22*l**2 + 3*l - 71. Let t be d(22). Let p = -94 - -100.7. Let o = -7 + p. What is the second smallest value in t, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33868 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1605405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*j - 5*j - 27*j + 567420. List the prime factors of j.\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {h: 1, d: 1, w: 2, g: 1, x: 2, y: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -2*r**2 + 43. Calculate s(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6300195 or -6300191?\nAnswer: -6300195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -15\/4*z - 99\/8*z**3 - 3\/8*z**5 - 39\/8*z**4 + 0 - 93\/8*z**2 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*a - 53 = 0, -3*z + z - 13 = 3*a. Let c be ((-4)\/z)\/((-1)\/(-7)). Suppose -4*p + 27 = 3*d, -12 = c*p - 3*d - 3. Solve 0*m + 9 = -p*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 11.9. Let n = -60 + 56. Which is the third biggest value? (a) n (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 3647854?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 133646096, 133646094, 133646090, 133646084, 133646076, 133646066, 133646054?\n\"Answer: -s**2 + s + 133646096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55534937 is divided by 631.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/5 - 4449612*c\/5 - 17798384\/5.\nAnswer: -4*(c + 4)*(c + 1112399)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14127, 16589, 19051, 21513?\nAnswer: 23975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + 2 + 11 + (-212 - -147)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:47 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 713 + -16401\/23. Let m = 2 + 1. Which is the biggest value? (a) m (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + -2*sqrt(72))*2 + 4 + 0.\nAnswer: -24*sqrt(2) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.427 take away -1.1?\nAnswer: 1.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence off when three letters picked without replacement from {o: 16, f: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20939?\nAnswer: 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/40*(-5)\/(-2). Suppose b + 0 = m. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632736861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56.6 from -0.1622.\nAnswer: 56.4378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1973 + 17759\/9. Let v = 0.004 + 0.042. Is p at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**9*s)\/(s\/(s\/((s**(-3\/2)\/s)\/s)))*s**(1\/7)*s**(1\/4))**(4\/21) assuming s is positive.\nAnswer: s**(-59\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 1:41 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 7 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(864)\/sqrt(8) + (sqrt(75) + sqrt(3))*-5.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12041\/30 - -1178\/3. What is the common denominator of -23\/4 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 + 183. Suppose 124 = 5*r - 21. Find the third derivative of -r*z**4 - 10*z**2 + 37*z**4 - 20*z**d wrt z.\nAnswer: -288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287\/40 + 51\/8. Which is the closest to 5? (a) -0.1 (b) 1\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/33)\/((-22)\/(-6)). Let w = 2 + -3. Does z = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.3, 2, -2, 2478, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-10)*(-4)\/3*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2254415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -2.02. Let j = s - 8. Let t = -8.6 - j. What is t rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5*-5)\/(1*11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299 - 277. Suppose 4*i - 30 = -10. Let q(k) = 3*k - 7. What is the remainder when s is divided by q(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -299, 4, 521, 14 in ascending order.\nAnswer: -299, 4, 14, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4138 divide 19787916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*d - 381 = 0, -7*r - 146 = -5*r - 2*d. Let s be (-3 - -6) + (1 - r). Let m = s - 76. Solve -m*x - 2 = -14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*l - 5. Solve l = 4*d + j, -20 = -5*j + j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o - 399. Calculate i(-45).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -880 + 618. Let t = -260 - y. Which is the nearest to -0.1? (a) -7 (b) t (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 15*s**2 - 7*s + 5. Is p(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198277 is divided by 49547?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44 and (9\/(-6))\/((-30)\/(-78)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(1275\/(-1428)*4\/10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -11386344?\nAnswer: 1\/1423293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 351 (b) -1\/6 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*u - 5*u + 3, u - 4*h = 7. Suppose 0*g = -2*g + u*g. Suppose g = t - 4*w - 134, -t = 3*w - 45 - 89. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - f + 0*f + (-2 - 1 + 1)*(-4 + 2 + 3)*(-2168 + 2168 - 4153*f) in the form c + h*f and give h.\nAnswer: 8304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 - 757836*i\/11 - 3789130\/11.\nAnswer: -2*(i + 5)*(i + 378913)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 12 - 12)*(-2*w + w**3 + 2*w) - w**4 - 2*w**2 + 0*w**2 + 0*w**4.\nAnswer: 5*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -172 - ((-3)\/(-3) + -3). Is 3\/1*v\/(-15) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j + 141. Let a be p(-11). What is the greatest common factor of 527 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 1.7 (c) -3\/4 (d) 18 (e) 4 (f) 0.57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 5:14 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + d**2 - d + 3900. Is q(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n**1)\/((n*n**8)\/n**(4\/5)) assuming n is positive.\nAnswer: n**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1223*c. Let w(g) = -2*g**2. Calculate w(t(z)).\nAnswer: -2991458*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/9 - 28*g**3\/9 + 50*g**2\/9 + 316*g\/9 + 80\/3 = 0.\nAnswer: -15, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68354.\nAnswer: 2, 11, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19000469, 38000939, 57001409?\n\"Answer: 19000470*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m*m\/((m**(-9)*m*m*m)\/m)*m)*m*m**(-2\/25)\/m*(m\/(m\/(m*m**(6\/19))))\/m*m*m**(-7\/5) assuming m is positive.\nAnswer: m**(-4828\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000183093789 to 7 decimal places.\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/7)*k**(-3\/2))**(-2\/9)\/((k**0)**7*k**(-5)*k**(-2\/5)\/k*k) assuming k is positive.\nAnswer: k**(204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -974?\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -2, 7, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021636088 rounded to 5 decimal places?\nAnswer: -0.02164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6949370 and 316600.\nAnswer: 138987400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-74) + 533780\/2405. What is the greatest common divisor of u and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in 0.4, -1, -4, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.85 (b) 0.3 (c) 99 (d) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000152588854 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161.84 - -156. Let k = l + 5.840311. What is k rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from gzcczh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*j = -50, 111 - 40 = 3*b + j. Solve 17*s - 15*s - 5 = 3*l, 4*l + 5*s = b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = w. Let a(s) = s**3 - 4*s**2 - 5*s + 3. Let d be a(w). Suppose -u = -d*r - 4 + 1, 4*u + 5*r + 5 = 0. Sort 3, u, 1.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from yqqqyqqq.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -k - k + 6, p + 3*k = 9. Suppose p = 4*c - 191 - 221. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 - 6*b - 2. Let l = -8 + 2. What is g(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1322*t. Let l(d) = 241*d**2 + 1. What is v(l(z))?\nAnswer: 318602*z**2 + 1322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8 - 6 + 4*h - 6. Let w be i(2). Solve 5*l = -b + 16, -w*b + l - 12 = 2*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3943878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92873 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmruxexrcrreerxxr. What is prob of sequence ee?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/8 - 63*z**2 - 168. Let h(g) be the second derivative of k(g). Let t(l) = 6*l + 3*l + 6*l. What is h(t(d))?\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 31974 = -2*r, -124*r - c = -120*r - 63963. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2804, -11744, -26822, -48038, -75392, -108884?\n\"Answer: -3069*u**2 + 267*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + (sqrt(396) - sqrt(396)*4))*-2)\/sqrt(11))\/((1*sqrt(132))\/sqrt(11)*4).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56935 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: Calculate the least common multiple of 44 and 23.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amm. What is prob of sequence mam?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 12*p - 8*p. Let f(s) = -3*s + 2. Let q(x) = 2*x - 2. What is p*q(t) - 3*f(t)?\nAnswer: 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 - 53. Suppose -h - a = -v, -5*h + 7*a - 5*a = -76. What is the greatest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 14. Give n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**2 - 1\/4*l**4 + 1\/6*l**3 + 0 + 0*l. Let g(u) = -u**3 + 8*u**2 + 20*u - 1. Let i be g(10). Give n(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 6:18 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 24 = -0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.9862 in -1\/7, 4, -2\/13, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:58 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*28\/98)\/(16\/(-2)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19960361 - 35955493. Let v = d + 9695132. What is v rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*((-10)\/(-4))\/((-144)\/(-432)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**2 - 6*o + 9. Let k be m(4). Suppose -5*g - k*p + 3027 - 191 = 0, -2276 = -4*g - 4*p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4236090 to the nearest ten thousand.\nAnswer: 4240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 15*z**2 + 10*z - 56. Let h be j(-14). Solve -3 = -5*v + f, h = v - 2*v - 2*f + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 6*l**2 + 0*l**2)*(0*l + 19*l + l).\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 238572 * -0.7\nAnswer: -167000.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1924 or -1923?\nAnswer: -1923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(90\/(-12) + 6). Suppose 3*s + y = 5*d, d = -2*d + 4*s + 11. Solve 8 = -d*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -512*o**2 - 4*o + 5. Let x(l) = -257*l**2 - 2*l + 3. Calculate -3*p(a) + 5*x(a).\nAnswer: 251*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1534706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 7. Suppose 2*o - 55*c = -58*c + 155, 4*c = -o + 85. What is the remainder when o is divided by y(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(10)\/sqrt(2)) + sqrt(2)*2*3 + (sqrt(32)\/sqrt(2))\/sqrt(8) + 4*(sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(18))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*d = 0, -25*d = 2*l - 30*d - 18. What is the least common multiple of l and 82?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -33358 and -834012.\nAnswer: -867370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -12 - -9) + 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6673467467?\nAnswer: 6673467467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.48 - -0.38. Let r = n - 10.9. Let u = r + 12.00024. What is u rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1 - 4 + 6 - z. Let o(x) = 4 - 8 + 5 - x. Let g(y) = -14*y + 16. Let q(w) = g(w) - 4*o(w). Calculate -12*a(n) + q(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2720 + 2719. What is the biggest value in l, 0.4, 2\/3, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 - 3)*(4*s + 2*s + s) - s - s + 3*s)*(2*s - 3*s + 6*s).\nAnswer: -65*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 152\/5 + 3\/(45\/(-6)). Suppose -3*p + 22 = 5*j - 20, 3*p - h = -3*j. Suppose 0 = -0*o + j*o - 30. Solve -12 = o*s - 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3291 + -1972. Suppose -b - o = -2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 9. Let h(v) = v + 3. Let k be h(3). List the prime factors of 542\/z - 1\/k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*q + 53*q + 75. Solve -9*h + 42 = -q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 64*n**2 + 128*n + 312. Let c be d(-62). Calculate the highest common divisor of c and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = 5*j, -4*j = 5*d - 33. Let v = d + -1. Let h be (2\/(-2))\/(v\/(-32)). Solve -y + 3*p = h, 5*y + 27 = -3*p + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 15*w. Let o = 145 + -148. Let i(d) = 4*d + 2. Let c(k) = 14*k + 6. Let x(q) = o*i(q) + c(q). What is x(r(j))?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/24 and -109\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n = 1776 - 1590 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/29)\/l*(((l\/l**19)\/l)\/l*l)\/l*l*l*l)\/((l**(2\/19)*l)\/(l*l**(-25\/4))) assuming l is positive.\nAnswer: l**(-53831\/2204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*19\/266 + (-139)\/28 - -5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-69)\/(-2 - (-1)\/1).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Let a = -18 + g. Let j = a + 15.99951. Round j to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 36, 31 in increasing order.\nAnswer: 5, 31, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 494161323.59999863 + -494161327. Let j = 6.64 - 10.04. Let m = j - a. Round m to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1665 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323 - 1883\/6. Suppose 2*k + 3*c + 7 = -7, 5*k + 3*c + 35 = 0. Calculate the common denominator of ((-518)\/(-36))\/k + 0 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/26 (b) 7.6 (c) 2\/7 (d) -0.16 (e) -2\/3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esss when four letters picked without replacement from sses?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110001011110000011 (base 2) in base 6?\nAnswer: 52234123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198732?\nAnswer: 2, 3, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7068576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + 8 - 8)*(w**2 + w**2 + 0*w**2) - 4*w**3 - w**3 + 3*w**3 in the form p*w**2 + i*w + u + a*w**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012366093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-5))\/(4\/(-10)). Let d(g) = -h - g - 1 + 9 + g**2. Let q(n) = -n**2 + 2*n - 9. Let l(s) = -4*s + 43. Let t be l(10). What is t*q(y) + 5*d(y)?\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 206182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16 - (-6)\/(-9)*3. Let g = o + 22. Let f(n) = -6 + 5 + n**2 - g - 3 - 5*n. Give f(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0 + 3*j + 0*j**2 - 1\/6*j**3. Let r(b) be the first derivative of -5*b**3\/3 + 1. Give r(v(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/959 in -0.3, 0.05, 3, -1\/10?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(2 + -1) + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**2 - 164*l - 312 = 0.\nAnswer: -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 10.01. Let q = v + -12. Sort q, -2\/5, -4.\nAnswer: -4, q, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 2*q**2 - 19*q - 69. Give a(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 403*l**2 - 1156*l**2 - 30*l**2 - 728*l**2 to the form v + q*l + a*l**2 and give a.\nAnswer: -1511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3637628 to the nearest integer?\nAnswer: 1907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09854637921631 and 5?\nAnswer: 4.90145362078369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/50 and 26\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.006 + 33.994. Let i = b - 33.999962. Round i to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {b: 2, g: 4, v: 2, d: 5, t: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*q - 33*q + 96. Let k = 48 - q. Suppose 0*l = -4*l + 4*v + 1312, k = -5*l - 2*v + 1661. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/3? (a) 0.4 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6175415 to the power of 1\/2, to the nearest integer?\nAnswer: 2485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -16, 8, 32, 56, 80?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3 - 3)*(3*w**2 - 2*w**2 - 3*w**2)*(9*w**2 - 10*w**2 + 0 + 1).\nAnswer: 4*w**5 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + f**2 + 36 + 14)*(4*f**2 - 2*f**2 + 4*f**2) + 5 + 2*f**4 - 5 + (0*f - 2*f**2 + 0*f + (2 - 2*f - 2)*(-4 + 4 + f) + 0*f + 0*f - f**2)*(f**2 + 3 - 3).\nAnswer: 3*f**4 + 264*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2009 and 0.4.\nAnswer: 803.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -612132, -612449, -612978, -613719?\nAnswer: -614672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/55666384 and -79\/201790642?\nAnswer: 1614325136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:00 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -3\/427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72153007.\nAnswer: 257, 280751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - 5)\/(5*(-3)\/(-6)). Solve 28 = -5*d + i*u, 0 = -0*u - 3*u + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 47736525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 3723548*i**2 + 1733082595648*i - 17331198313280.\nAnswer: 2*(i - 10)*(i + 930892)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 114902 = 4*d, 0 = -2871*d + 2870*d - r + 28736. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(8\/9)*t)\/(t**(6\/5)*t*t))**(-3\/31) assuming t is positive.\nAnswer: t**(59\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 112122?\nAnswer: -112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 2926912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 4*v - 3. Let x be n(2). Let s = x + 15. Calculate the greatest common divisor of 12 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(64\/(-3))*8. Let s be ((-12)\/(-18))\/(4\/18). Suppose i*z = -s*k + 168, -4*z + 172 = -z + k. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*q + 131 - 131 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4517578 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 27652, -1\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47930, -42950, -37970?\nAnswer: -32990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51099*l*z**3 - 3*l*z**2 + 2*l + 681*z**3 - 67*z**2 wrt l?\nAnswer: -51099*z**3 - 3*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*l - 57317, 3*l - 38702 = -4*z + 18630. What is the units digit of l\/208 + (4\/(-26))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**5*l)*l*l*(l*l**5*l)\/l)**45\/(((l*l\/l**(-5))\/l**(-1\/3))\/(l*l**7*l*l*l\/l**(-2\/3))) assuming l is positive.\nAnswer: l**(418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27\/748 + -1\/44. Does u = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 - 144. Let u(l) = -l**3 - 16*l**2 + 15*l - 20. Let p be u(g). Let k = -249 - p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-333)\/(-555) + (42\/(-10) - -2).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 y when three letters picked without replacement from eeewdeelewlyejedl?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -10 - -11 - 23?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*a - 92*a = 2*m + 5, a - 5 = 3*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.2469, 12\/47, 0, -1\/3, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3515?\nAnswer: 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 900951*w**3 - 10059*w + 6 wrt w.\nAnswer: 5405706*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-6 + -2 - 3) + (-6 - 4) - -2\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:23 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.081, 2\/21, 1\/9, 3.\nAnswer: -0.081, 2\/21, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1523 = -490*p + 4847 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 8*u**2 + 6*u - 13. Calculate d(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 48 = -2*q. Let i(v) = 3*v + 57. Let a be i(q). Solve -5 = z, -s - z + 3*z + a = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19242860 divided by -970?\nAnswer: 19838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/130910 and -21\/265?\nAnswer: 130910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -586*r + 264804. Determine l(452).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 46713?\nAnswer: 46710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 269486539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = c + c. Find the second derivative of -w**5 + w**c - 2*w**5 + w**5 + 3*w wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f - 138 - 147 = -75*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30b87 - -1?\nAnswer: 30b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4080, 0.4, -16 in descending order.\nAnswer: 4080, 0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 49, 101, 173, 265, 377?\n\"Answer: 10*f**2 + 2*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -0.5 (b) -2\/21 (c) -4 (d) -29 (e) 3.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k - 529. Give y(105).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112110 + -2021010222?\nAnswer: -2012121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 4*h + 2. Suppose -5*v + 3*t + 43 = -43, -3*v = -5*t - 58. Suppose 0 = -13*y + v*y + 9. Give u(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqqx when four letters picked without replacement from {m: 1, b: 4, x: 9, q: 2}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.152, -12, -3\/14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((2 - (9 - 5) - -3) + 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*b**4 - 63*b**3*g**3 - 2*g**3 + 4*g + 143 wrt b.\nAnswer: 60*b**3 - 189*b**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:42 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, 1.3, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1334 - -1a9?\nAnswer: -117a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 3445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10 (b) 3\/4 (c) -0.29 (d) 25 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -762, -3086, -6966, -12408, -19418?\n\"Answer: -v**3 - 772*v**2 - v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i = -2. Let n = -2 - -2. What is the third derivative of 0*q**2 + i*q**6 + n*q**6 - q**2 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*g + 137391 + 324497 = 0. List the prime factors of g.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, n: 9, b: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 71*a + 2*a**2 + 72*a. Let k(n) = 6*n + 3. Let b(l) = -k(l) + 4*o(l). What is the units digit of b(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72860 (base 10) to base 11.\nAnswer: -4a817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/120 - 13*y**5\/60 - y**4\/12 - 5*y**3\/6 - 6*y**2. Let t be r(-13). What is the highest common divisor of t and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 610, 1221, 1832, 2443, 3054, 3665?\n\"Answer: 611*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**6\/24 - x**5\/15 + x**4\/6 - 405*x**2 + 3*x. Let h(t) = t**3 - t**2 + t. What is -4*h(u) + n(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 - 4*s - 7. Suppose 0 = -4*m + 16 + 4. Let f be a(m). Is 13 a factor of 13 - (2*-1 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 44*r + 28. Suppose 0*t = 3*t - 15. Let n(g) be the third derivative of 0*g - 1\/3*g**4 - 5\/6*g**3 + 9*g**2 + 0. Determine t*w(s) + 28*n(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -13*w - w. Let n(c) be the third derivative of 0*c**w - 1\/60*c**5 - 5*c**2 + 1\/210*c**7 + 0*c + 1\/300*c**6 - 1\/60*c**4 + 0. Factor n(i).\nAnswer: i*(i - 1)*(i + 1)*(5*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.5 + 24. Let q(c) = c**2 - 6*c - 9. Let m be q(7). Let r be 10\/20*m\/(-3). What is the nearest to -1 in r, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-42)\/455) + (128\/48)\/8\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:03 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/w*w**(-2))\/(w\/((w\/(w*w\/(w\/((w*(w**(3\/2)\/w)\/w)\/w))))\/w)*w)**(17\/4) assuming w is positive.\nAnswer: w**(-133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 0. Let b be m\/9 - 5\/(-3). Let j be b\/9 - 25\/63. What is the smallest value in 0.04, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324360749?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -191 - 26*p + 4*p**2 + 66*p + 291.\nAnswer: 4*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yposf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -41*y**8\/6720 - y**5\/12 + 2*y**4\/3 + 26*y. Let c(z) be the third derivative of b(z). What is the derivative of c(r) wrt r?\nAnswer: -123*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -48083\nAnswer: -48083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -5. Let z = 83\/585 - 2\/65. What is the second biggest value in z, r, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(4*s - 4*s - s) + 0*s - 2*s + 3*s + 3 - 3 - 2*s - s - 2*s + s + (0 - 1 - 1)*(2*s - s + s) - 3*s - 3*s + 2*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/41179009?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:48 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1135150 - -0.2.\nAnswer: -1135149.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94488367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**5 - 5*v**4 - 5*v**3 - 73*v + 10. Let g(f) = 3*f**4 + 2*f**3 + 36*f - 4. Let q(s) = -5*g(s) - 2*y(s). What is the second derivative of q(m) wrt m?\nAnswer: -40*m**3 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 29 + 40 + 29 - 3 - 16 to the form c + p*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let b be (-28)\/56*(2 + -1). What is the closest to f in b, -5, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**0)\/(k*k*k*k**(-5)\/k))\/(k\/k**5*k**3))\/((k\/k**(-2\/9))\/(k\/(k*k\/(k*k*k**(2\/5)*k)*k)*k)*(k**(2\/3))**(-2\/51)) assuming k is positive.\nAnswer: k**(1582\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -45. Which is the closest to 2\/7? (a) z (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974395215?\nAnswer: 5, 11, 811, 66683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*q*s - 958*c*s**3 - 24*c*s**2 - 190*q*s**3 + 68*q*s**2 - 2*q with respect to c.\nAnswer: -q*s - 958*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t - 11. Let i be a(5). Let m = i - 29. Let x = 13 - m. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -44, -115, -214, -341, -496, -679?\n\"Answer: -14*c**2 - c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 2*a + 1. Let p be o(3). Let y be -5 + p - (-3 + 2). Solve y = -2*k - 0*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 7:50 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by -26.\nAnswer: 66\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 5*c + 6. Let a(k) = -k**3 + 9*k**2 - k + 4. Let r be a(9). What are the prime factors of p(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 239?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/(0 + (40\/80)\/((-486)\/12))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k - 5*k + 2*k)*(123*k + 108*k - 233*k + 825*k**3) in the form n*k**3 + x*k**2 + i*k + m + u*k**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39589\/(-60) + 0\/5. Let h = d - -3287\/5. What is the common denominator of h and 61\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)\/((-19)\/(-38)). Suppose -n*q = q - 1887. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 4*q - 72. Solve 4*w - q = 4*a + 12, -4*w - a = 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5658c (base 14) to base 13.\nAnswer: -7456a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfbbfbfbfbf. What is prob of sequence fb?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342369?\nAnswer: 3, 109, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1713373175, -1713373174, -1713373173, -1713373172?\nAnswer: -1713373171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -3, 936, 2, -5 in increasing order.\nAnswer: -5, -3, 2, 3, 5, 936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 - 10*c**2 + 4*c + 6. Let i(z) = -z**3 - z + 2. Let h(r) = 5*i(r) - s(r). Determine h(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15*q**2 - 763*q - 116. What is the remainder when p(-50) is divided by 93?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 69 = -3*l + 72 + 6 + 28, -5*l + 15*d + 225 = 0 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002167606 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (-17 - (-25 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 976556.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143646 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303705670 to the power of 1\/3, to the nearest integer?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dhfwhahhfffdfhfwhh.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880104 (base 10) in base 9?\nAnswer: 3475014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 - 0.01?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + -122. Suppose 4*p - 23 = 5*i, -4*p + 2 = -3*i - 15. Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-22 - -19)*195294\/9)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -110 (c) -3 (d) 3 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20868)\/(-4512) - (4 + (2 - 2)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.006 (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 6*s + 3. Let i be l(-6). Suppose 0*o + i*o = 63. Let w = 15 - o. Let j(h) = -h**3 - 7*h**2 - 5*h + 2. What is j(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3924 divided by -218?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)**(3\/7)\/((h\/(h\/(h**(-1\/8)*h)))\/h**(1\/6)))**(1\/42) assuming h is positive.\nAnswer: h**(-47\/7056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7887 rounded to two dps?\nAnswer: 6.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 - 4*k + 5. Let j be z(2). Let q = j - 16. Let o(l) = -l**2 + 7*l - 4. Give o(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*m = -0*o - 1, 0 = -5*o + 4*m + 14. Find the third derivative of -3*q**2 + 5*q**o + 2*q**3 + 0*q**2 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37923, -37922, -37919, -37914, -37907?\nAnswer: -37898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(228\/(-3990))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-24))\/((-17)\/(-204))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c + 2*c + (0 + 1 + 2)*(-3*c + c + 0*c) + 3*c + 0*c - c + 22 - 22 - 15*c + (-2*c - 2*c + 2*c)*(5 + 1 + 0) + 3*c + 0*c - 5*c - 2*c + 1 - 1.\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -3 - (8 - 2) - (8 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*k - 7 = -156*k + 2*i, 0 = -3*k + 8*i + 79 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -53.\nAnswer: 7\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1011, -1746, -2377, -2850, -3111?\n\"Answer: 9*u**3 - 2*u**2 - 792*u - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than -22\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/15 and 97\/156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0*i - 3*i - 3*i**2)*(4*i + 6*i - 2*i).\nAnswer: -24*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 18) + 1 + 6 + 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 5*y**2 + 6*y - 4. Let i be b(6). Let q(g) = -13*g - 21. Let m(z) = 7*z + 11. Let v(s) = 11*m(s) + 6*q(s). Determine v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 + 1. Let y(m) = -m**2 + 4*m + 1. Let x be y(4). Let i be t(x). Solve -2*v - 9 = -i*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)*(-28)\/42\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 27*s**2 - 29*s + 29. Give q(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - 15*z + 4. Let d be l(4). Suppose d*g = -32 + 40. Solve g = u + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.95 - -14. Let h = -0.05 + l. Which is the second biggest value? (a) 1 (b) -4\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168) - (3*sqrt(3168)*5 + sqrt(3168)))\/(sqrt(14)\/(-1*sqrt(112))).\nAnswer: 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608590 is divided by 434762.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z**2. Let o(t) = 248*t**2 - 305795*t + 305795*t. Give p(o(w)).\nAnswer: -738048*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*t = -0*p + 3*p + t - 73, -4*p + 26*t = 992 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 141968044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 16*k - 17*k - 3*w, -4*w = -4*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5124, -6110, -7748, -10026, -12932, -16454?\nAnswer: -20580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15644888 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3*n + 6, 0 = -5*h - 0*n - 4*n + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/6))\/((z\/z**(6\/5))\/z) assuming z is positive.\nAnswer: z**(71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 - 7.87. Let c = h - -5. Put c, -4, -2 in ascending order.\nAnswer: -4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f = -2883 + 1773 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1100 - -237?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkqqkqnkkkqqkkkqn. Give prob of sequence qkk.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/589 <= -146082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35716690 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -873, -4 in increasing order.\nAnswer: -873, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 1 - 1 - 1 + 204*d**2. Is k(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 75 + 90 - 2*f)*(5*f - 3*f + 0*f).\nAnswer: -4*f**2 + 212*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 9:43 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/13 and 17\/929.\nAnswer: 12077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15218224 or 15218222?\nAnswer: 15218224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/96)\/(15\/(-80)*4)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 3*w**2 + 2*w**2)*(2 - 7 - 9)*(0 + 0 + 2).\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239228 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171914 and 3998?\nAnswer: 171914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1085 and 1395.\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 39*x - 61. Let w be u(5). Suppose -4*z = 2*t - 128 - w, -3*z + 396 = 3*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5 + sqrt(2299) + 2 + sqrt(2299) + (sqrt(2299) - (-3 + sqrt(2299)))*-4)*4)**2.\nAnswer: -10560*sqrt(19) + 150733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.04825+5\nAnswer: 5.04825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13296, -13294, -13292, -13290?\n\"Answer: 2*f - 13298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 66910047 to the nearest 100000.\nAnswer: 66900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.19 + -0.19. Let m = w - 8. Let p = 7\/5 - 1. Which is the nearest to -1? (a) p (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-17)\/(-170))\/(2\/8). Factor 0*a + 0 + o*a**2 - 1\/5*a**3.\nAnswer: -a**2*(a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -15. Suppose -v - 5*z + 281 = 3*v, -x*v = z - 219. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-4 - -6) + -2 - 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 - 4 = 0. Calculate the highest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g*g*g**(-2\/57)\/g*g*g)*g\/(g**(-16)\/g))\/(g**(-2))**(-19\/6) assuming g is positive.\nAnswer: g**(553\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 - 13. Let s be n\/5 - 6\/10. Solve -7*g + 2*g = -3*q - 21, -4*g + s = -3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56780656087\/208 + 272982903. Let w = -2041\/2 - x. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(470\/6 - -1). Let r = -234 + x. Suppose -t - 4*f = -14, 3 - 38 = -t + 3*f. Calculate the smallest common multiple of t and r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 1. Let g(y) = 1. Let b(d) = -g(d) - m(d). Determine t so that b(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60135880*g**3 + 26440000*g**2 wrt g?\nAnswer: 360815280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + -1.2. Which is the second smallest value? (a) o (b) 0.3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-24) - 30\/8. Calculate the common denominator of 3\/1 + 78\/z and -56\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.06 (c) -1\/563\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -361, -714, -1067, -1420?\n\"Answer: -353*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-756)\/(-3150)*(-230)\/6)\/(4\/(-10))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45869981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 133\/40664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 - 10156*l + 5191*l + 4965*l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3 - 8\/(-42)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30385.\nAnswer: 5, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 257600 * 3\nAnswer: 772800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-5)*(-10 - 0). Solve h*a + 66 = 46 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y**3 - 40*y**3 + 339*y**3 - 40*y**3 - 117*y**3 - 47*y**3 - 3 - 42*y**3.\nAnswer: 10*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -435*f**2. Let y(q) = 2*q**2 - 8. Let i be 10 + (-20)\/4 + 4 + -5. Let p(x) = -3*x**2 + 10. Let h(n) = i*p(n) + 5*y(n). Give h(z(j)).\nAnswer: -378450*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j*y**2 + j*y - 2*y**4 + 189*y**3 - 224*y wrt y?\nAnswer: 4*j - 24*y**2 + 1134*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 + 88196460*d + 972326944566450 = 0. Calculate d.\nAnswer: -22049115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 4*h**3\/3 + h**2 + 6*h - 2916. Let r(p) = 1. Calculate q(y) - 6*r(y).\nAnswer: 4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1011*a - 3*i + 1032, -66*a + 0*i - 14 = -66*a - 2*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(8\/(-10) + 1). Let b(c) = c**2 - 6*c + 1. Let q be b(p). Let x(i) = -3*i + 5. What is the tens digit of x(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134*d + 69*d - 48*d)*(42*d**2 + 8*d**2 - 5*d**2)*(3*d**2 + 0*d**2 + 0*d**2).\nAnswer: 20925*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -18. Let u = -5 + n. Solve 0 = -2*t - 2 + u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (9 - (-1 + 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - ((-54)\/12 + 5). Let o = -7.7 - -8. Which is the nearest to 1\/16? (a) l (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 1, d: 4, m: 6}. What is prob of sequence mggi?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e0b43a + 5?\nAnswer: -e0b435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0) + 319\/(-5). Let u(i) = -6*i**2 + i - 7. Let y be u(-3). Let f = y - b. Put 0.5, f, 2 in ascending order.\nAnswer: 0.5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(-14))\/(2\/12). Let z = y + 2. Suppose 6*v + 105 = z*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1763507.8965088.\nAnswer: 1763507.3965088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 + 175*x**2 - 335*x + 165 = 0. Calculate x.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-170)\/(-510))\/(3\/144).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + -1?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 - 2 + 422*a + 40*a - 1.\nAnswer: 462*a - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -61. What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 742 = 3*z - 4*a - 636, -4*a - 1844 = -4*z. What is the units digit of 1\/(-2) - z\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1012*a**3 + 328*a**3 + 332*a**3 + 337*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*h - 124, -h = -r + 6*r - 45. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-5*b**4 - 2*b**4 + 5*b**4) + 2517*b + 136*b**4 - 2517*b.\nAnswer: 138*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(432)*-3 - 3*(sqrt(432) - (1 + sqrt(432))))**2 + 3.\nAnswer: -864*sqrt(3) + 62220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l*l\/l**(-7)*l*l)\/l)\/l)\/l)*l\/(l**(2\/3)*l))\/(l**0)**34 assuming l is positive.\nAnswer: l**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -4. What is the remainder when 46 is divided by (-102)\/l + 18\/(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1229 = -3*t - l - 4*l, -5*t + 2115 = -5*l. Suppose -6*c + t = -2. Calculate the remainder when c is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20569436351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67167 and 51?\nAnswer: 67167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.2. Let o = 300.3 + -330. Let r = 30 + o. Which is the biggest value? (a) i (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7\/8, 147, 2\/5, -3, 5.\nAnswer: -5, -3, -7\/8, 2\/5, 5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 + 29\nAnswer: 29.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10 - 5) + -11 - -8472?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28\/3, 0, 4, -2\/737, -0.9, -1?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52549 - 52536.3937. Let v = u + -12.6. Round v to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-10)\/(-65) - (-330)\/117*51 and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**3\/3 + d**2 - 2*d + 241. Let v(r) = -3*r + 3. Determine -6*a(q) - 4*v(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 3:35 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890129 is divided by 7189.\nAnswer: 5882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16952*o**4 - 50872*o**3 - 38190*o**2 - 36*o = 0.\nAnswer: -3\/2, -2\/2119, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1080788 + -0.108. What is l rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 1, j: 2, s: 3}. Give prob of picking 1 z and 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 131042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/134352 and 35\/37767.\nAnswer: 1691357328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-6))\/((-6)\/(252\/(-35))). Suppose -7*h + 170 = -t*h. Let k = 41 - h. What is the highest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19908 - 329*t**4 - 19908)*(0*t - 5*t + 3*t).\nAnswer: 658*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 7*z**2\/2 + z - 87. Suppose -s + 4 = 0, -5*t + 4*s + 0 + 9 = 0. What are the prime factors of a(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 2 - -5) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20646 bigger than 20636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 5.24 (c) 8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*s + 1 = -5*a, -1 = s. Let b(j) = 8*j - 11. Let q be b(2). Find the third derivative of 0*g**6 + 2*g**2 - 3*g**6 - q*g**a wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, -48\/431, 0.169?\nAnswer: -48\/431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(78)\/(sqrt(12)\/sqrt(2)) + -2 + 3 + sqrt(13) + -4 + -1)**2.\nAnswer: -24*sqrt(13) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 2*n**2 + 16*n - 16. Let f be u(10). Suppose -888 = -6*v + f. What is the tens digit of (v\/(-36))\/((1\/3)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q*q**16*q)\/q)*q**4)**50)**34 assuming q is positive.\nAnswer: q**(-22100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3\/2 + 11916*k**2 + 23641326*k - 94756056 = 0.\nAnswer: -3974, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 - 217. Sort 311, -1, x in increasing order.\nAnswer: -1, x, 311","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:12 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -1710, -5598, -13174, -25668, -44310?\nAnswer: -70330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 40969*b**3 - 20483*b**3 - 20485*b**3 + 7 + 11.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/3 + 5*u**2\/2 + 13*u. Let x be a(-6). Let w be (0 - (x + 4))\/3. Put w, 5, 3 in ascending order.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:22 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000801 to 7 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3387770 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - c257?\nAnswer: -c261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -372904 and -104 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 1110918*g**2 - 2221844*g.\nAnswer: 2*g*(g - 2)*(g + 555461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41710 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*x - 16, 2*x + 12 = 3*m - 10. Suppose m*z - 140 = -0*z. Suppose 2*r - 36 = -y, -3*y = -r - z - 108. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 91\/(-56) - (-12)\/(-32). Let c be (-7)\/56 + (h - (-3074)\/16). Calculate the highest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -132, -151, -170?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 4) + (-1 - -4). Suppose -3*w - c + 7 = 0, -s*w - 2*c + 6 + 5 = 0. Suppose 4*u - w*u = 0. Sort 3, u, -1 in descending order.\nAnswer: 3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s - 18. Let i = -0.136 + 4.236. Let a = -0.1 + i. What is the nearest to 0.1 in a, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 + 258. What is the greatest common factor of 143 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*m + 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -0.0813?\nAnswer: 0.3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 233 divided by 6\nAnswer: 233\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.6 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.6 + 11. Let c be 5\/4*(-2)\/(-10). What is the smallest value in k, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - (-380)\/(-60). Let b be a*1*-5*(-14)\/(-945). Is b bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 299 + 584 = 0. Let m = i + -236. Calculate the remainder when 95 is divided by m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 28055, -7, -2, -4, 1 in ascending order.\nAnswer: -7, -4, -2, 1, 5, 28055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110183059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 47*d**2 + 24*d - 36. Let y be j(16). Let c = 22193 - y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 - 9993 - 119)*(6*r - r - 3*r).\nAnswer: -20078*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 - h**2 - 6*h - 4. Let j be (2 - 1 - 2) + 0. Let t(l) = l**3 - l**2 - l. Let z(q) = j*o(q) + 6*t(q). What is the units digit of z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520*z**2 + z**3 - 520*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-6 + (36 - 4) - 6) - -17?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4783906?\nAnswer: 2, 2391953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20005 - 20001. What is the third biggest value in 2\/7, o, -3\/4, -0.6, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 2 - 3*p**2 + 2*p**4 + 7*p**2 to y*p**2 + d*p + m + v*p**3 + c*p**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.137 to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704235251.\nAnswer: 17, 41425603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90\/617 - -5900\/1851. Factor -g*k**2 - 4 + 22\/3*k.\nAnswer: -2*(k - 1)*(5*k - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2246, 2369, 2466, 2537?\n\"Answer: -13*n**2 + 162*n + 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -928 - -897. Sort 0.5, -1, i in ascending order.\nAnswer: i, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 48 = -75. Which is the smallest value? (a) -1 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -104. Let f(z) = z**2 - 12*z + 5. Let b be f(5). Let n = b + a. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/1944*8\/30.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.00002 + 7. What is w rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*d = i - 44, -4*d = 3*i - 112. What is the highest common factor of 152 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50.7275365 + -47150.7\nAnswer: -47201.4275365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -24 + 10 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11325\/22372 + -71\/119. Calculate the common denominator of w and 42\/5.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 12. Let c(j) = -j**3 + 4*j**2 + 4*j + 3. What is c(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2946*w - 2945*w - 1 - 27*w**2 as f + c*w**2 + b*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1227*v + 219825 = -336*v - 4053*v + 731*v for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + 13. Let f be o\/10 - 12\/(-210)*-7. Suppose f*m - 142 = -12. Solve 4*d + 9 = i, 7*i - 2*i - d = m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daddda. What is prob of sequence ddaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4 + 8*o - 2*o**3 + 37 + 2\/5*o**5 - 4*o**2. Find u such that t(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-22)\/(-128)*-4 + 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/360 - h**5\/20 - 5*h**4\/12 + 4*h**3\/3 + 16*h**2. Let p(a) be the first derivative of r(a). Determine p(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)*x)**38)**(4\/3)\/(x**(-2\/3)*x**4\/x*x*(x*x**(-1))**(-46)) assuming x is positive.\nAnswer: x**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 88\/(-14) + 8\/28. Let w be (4\/3)\/(y\/(-9)). Suppose 23 + 21 = 5*s - 2*p, -4*s = 2*p - 28. Solve -w*h + s = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + 0.096. Let k = -1007251.9359919 - -1007252. Let b = s + k. What is b rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13*t - 73. Calculate j(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1657 + 1661. Solve 43*i - r = 41*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 292041 and 129796.\nAnswer: 1168164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 4 = 0, 38 = 2*i + 4*n. Suppose 0 = -4*z + 4, -d + 3*d - 3*z = -5. What is the remainder when 4 + 0 + 27 - d is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 2, f: 1, x: 9, r: 2, o: 3}. Give prob of picking 1 f and 2 z.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (19 - 40)) + -20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001001010 (base 2) to base 16.\nAnswer: -44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112335726467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -12*d + 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k**2 + 207*k + 930. Let x(z) = -9*z**2 - 209*z - 928. Let u(q) = 3*w(q) + 4*x(q). What is the derivative of u(h) wrt h?\nAnswer: -12*h - 215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 266, 242, 198, 128, 26, -114, -298?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2039*q = -1874*q - 1155 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c - 27 = 5*w, -4*c = 2*w + 2. Let y(b) = 4*b**2 - 2 + c. Let m(h) = -2*h**2. Determine m(y(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b**2 + 11*b + 4. Let k(s) = 2*s + 1. What is 4*k(a) - u(a)?\nAnswer: -6*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 305 = 5*f, -332 = -2*o - 6*f + 2*f. Suppose -l = -v + o, 3*l + 162 = v + 4*l. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/9507914 and -53\/14.\nAnswer: 66555398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 214, 212, 210, 208?\n\"Answer: -2*i + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-2*4 + (sqrt(133) - (-1*sqrt(133) - sqrt(133)))*6 + sqrt(133))\/(5*(sqrt(448) + (sqrt(448)*2 - sqrt(448)))).\nAnswer: 11*sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -1\/8, -1\/4, 0.4, 3, -44025?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -8*t - 3. Let a = -183 - -186. Let o(y) = -5*y - 2. Let b(q) = a*o(q) - 2*g(q). Let m(w) = 4*w**2. Give b(m(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 14*l + 70. Suppose -6*r + l*r + 2 = 0. Let b be 1\/r*(-15 - 7). Is b at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 5*z**2 + 0*z**2)*(-5 + 3 + 3) + 4 - 2*z**2 - 4 + 14*z + 31*z**2 - 14*z.\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76482 is divided by 7642?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1379542 * -0.9\nAnswer: 0.12415878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*h - 14, -6 = -0*p + 3*p. Suppose -q - 5*u + 890 = 0, 5*q + u + h*u - 4472 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -25. Let j be 60\/(-8)*8\/6. Let i = l + j. Put -5, -7, i in increasing order.\nAnswer: -7, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48 + 0)\/(-3) - 0. Suppose 4*s + t = -8. Let i be (s\/4)\/((-66)\/8). Which is smaller: i or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(6*sqrt(70)\/sqrt(7))*-3 + -5)**2.\nAnswer: 5*sqrt(2) + 51\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 201081 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2888, -3634, -4376, -5114, -5848, -6578, -7304?\nAnswer: -8026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 489, -0.04, 0.5, -4?\nAnswer: 489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 + -181. Let w(p) = 4*p**3 + 0*p - 2*p + p + z*p**2 - 54*p**2. Let k be 1\/3 + 4\/(-3). Calculate w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2571917650872 and 270.\nAnswer: -2571917650602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 + -88. Let o = u - 41.5. Which is the third biggest value? (a) 0.1 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1157, 12 in descending order.\nAnswer: 1157, 12, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/2 - 329278*s - 1317120 = 0. Calculate s.\nAnswer: -4, 658560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4769 by -87274.\nAnswer: 4769\/87274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - 10.84. Let x = y - -7. Let p = x - -3.9. What is the closest to 0.2 in 2, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/5 of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 387 + -382. Suppose -q = -3 + 2. Calculate the least common multiple of p and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 21\/8, -0.721, -1\/11, 0.4?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -572629899952 and 1.\nAnswer: -572629899951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*f = -29, -321*f = 2*i - 316*f - 14. Which is the smallest value? (a) 0.3 (b) -3\/2 (c) i (d) 0.09 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355406 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*357.\nAnswer: -39.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (-20)\/8)\/(3\/(-42)). Let d be 9\/2*(-14)\/(-3). Calculate the greatest common factor of d and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34304.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 33*r + 20. Calculate the common denominator of (-72)\/(-1344) + r\/(-4) and -45\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 19. Let l be m(14). Let h be 1*38\/(-5)*l. Let n = -7 + h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -36*j**2. Let s(x) = -5*x**2 - 6*x - 3. Let v(i) = -6*i**2 - 8*i - 4. Let h(z) = -4*s(z) + 3*v(z). Determine c(h(f)).\nAnswer: -144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/126 and 71\/296730?\nAnswer: 296730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. Let f(k) = k**2 - 12*k + 8. Let q be f(10). Let z be (p - 10\/4)*q. Solve 0 = -5*o - z - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5406 divided by 2703.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -0.4, 0.2, 4, -21810?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44396600?\nAnswer: 2, 5, 139, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1529 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 4*j**5\/3 - j**3\/6 + j**2. Let g be a(-1). Suppose -g = -4*p + 65. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918 is divided by 191.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*r*(r**(-7)*r*r)\/r*r)\/(r**(1\/15)*r\/r**3) assuming r is positive.\nAnswer: r**(-211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1237360821 to the nearest integer?\nAnswer: 35176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -38. Suppose 8*l - x*l + 8 = 0. Solve -5*j = -y - 26, 9*j + 3*y = l*j + 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-1 + 2 - 3)*(49 - 5*m - 49)*(1 - 3 + 0).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 585829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - 2) + 6 - 154. Sort f, 4, 2 in ascending order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112 + 115. Suppose -l - 3*s - 3 = 2, f*s - 35 = -5*l. Solve l*i - 9*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 42.7. Let d be 6\/21 + 4\/(-7). Which is the nearest to -1\/4? (a) d (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*b = 207*b - 126. Solve 0 = 3*z - 2*o - 2, b*z - 5*z = -4*o + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + -3*128\/(-24). Suppose -89*d + 87*d = -c. Solve 4 = d*n + 2*x, n - 3*x + 13 = -0*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 7, c: 3, r: 4}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*h + 19374, -4*g + 160*h - 157*h = -19375. Is 167 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 3*n**5 - 4*n**5 + (5 + 2 - 1)*(-n**3 + n**5 + n**3) + (-n**2 - 2*n**2 + 2*n**2)*(-25*n**3 + 40*n**3 + 98*n**3).\nAnswer: -108*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19309*r - 68 = 19174*r + 4387 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 5*c - 2. Let z be l(-2). Factor 9*g - z*g - 8*g + 3*g**3.\nAnswer: 3*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -102852, -205706, -308560, -411414, -514268, -617122?\n\"Answer: -102854*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 - 7)*3\/((-6)\/52)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23549 + 23621. Solve -75*i = -f*i + 27 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 6*l**2 + 3*l - 2. Determine z(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 2*p**7\/21 - 17*p**4\/12 - 19*p. Find the third derivative of c(y) wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*16\/4. Let t be o\/(-2) + 15\/3. Let n = t - -15. What is the remainder when 74 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215335184 divided by 41764?\nAnswer: -5156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t. Let x(a) = 24*a**2 + 6*a + 12. Let h(d) = -21*d**2 - 5*d - 10. Let k(w) = 6*h(w) + 5*x(w). Calculate s(k(f)).\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 750195 to the power of 1\/2, to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-18 + 0)\/486). What is the greatest common factor of 3609 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25828, -52983, -80138, -107293, -134448?\nAnswer: -161603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23850 and 2000?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/60482?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 6. Let k(n) be the third derivative of -13\/6*n**3 + 0 - 24*n**2 + 3\/8*n**4 + 0*n. Determine 13*a(p) - 6*k(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.653146 - 9.63. Let s = -0.023 + l. Round s to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 + 5*z - 24. Let l(n) = 5*n**2 + 4*n - 24. Let i(m) = -5*l(m) + 4*p(m). What are the prime factors of i(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-354)\/(-14) + 294\/(-1029) - -15.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110.7 - -120. Let r = 9 - u. What is the third biggest value in 2\/3, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by 3\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*15\/20*4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32600971 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25767.7053*0.5.\nAnswer: 12883.85265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i - 4. Let k = i - -4. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 176*r**2 + 5885*r - 12347. What is a(-130)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195018 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:36 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 53*j + 908. Does 26 divide v(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f = -5*s + 36*f + 321891, 5*s + 2*f - 321893 = 0. What are the prime factors of s?\nAnswer: 7, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71766 = -10350*j + 9021*j for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321, -5, -36, 2, 38 in ascending order.\nAnswer: -36, -5, 2, 38, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49.9 + 50. Which is the closest to k? (a) 2\/9 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by ((-42)\/(-9))\/((-2)\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 128761, 128757, 128753, 128749?\n\"Answer: -4*m + 128765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-4\/11)\/a*a))**(-29)*((a\/(a*a**(-21)*a))\/a)\/(a\/((a*a*(a\/(a*a**(-2\/3)*a*a))\/a*a*a*a)\/a*a)*a*a) assuming a is positive.\nAnswer: a**(-689\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -87937657580 take away 15?\nAnswer: -87937657595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2. Let w(o) = -7*o**2 - 3*o - 3. Let j(u) = 8*u**2 + 4*u + 4. Let x(c) = 3*j(c) + 4*w(c). What is 6*l(p) - 11*x(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823453 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 2}. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 450089 (base 13) to base 7\nAnswer: 16560422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1521, -3044, -4567, -6090?\nAnswer: -7613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x - x)*(-3899 - 1149*x + 3899)*(4*x - 3*x - 3*x).\nAnswer: -4596*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + 0.04. Let x = w - 0.53. What is x rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5635499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 29, 127, 285, 509?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/(-12))\/((-4)\/576) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 2. Let b be j(-4). Let y(q) = 3*q**3 - 15*q**2 + 20*q + 45. Let s be y(4). Calculate the highest common divisor of b and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-340) + 1 + (-2319)\/(-10). Suppose -v*o = -230*o - 22947. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 8:47 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 + 171*d + 178*d + 191*d - 485*d + 9*d**2 to the form s + w*d + q*d**2 and give w.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 11*b - 4. Let z be v(-8). Suppose 2*s + 12 = z. Solve 6*r - 2*r + s = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s**4 - 11260*s**3 - 1205680*s**2 - 42851600*s + 12342000 = 0 for s.\nAnswer: -110, -102, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/138 - 925\/4025)\/((-3)\/966)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*j*l*p**3 - j*l - 10*j*p**3 + 3*l*p**2 - 2*l*p - 13*p**2 wrt p.\nAnswer: -114*j*l - 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3 and 99\/331306.\nAnswer: 993918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/333 and 11\/20165259?\nAnswer: 60495777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 2. Suppose 3*i + 8 = -f, 0 = -4*i - 3*f - 0*f - 14. Let y be u(i). Suppose y*v + 276 = 6*v. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*o**3 + 88*o**3 + 152*o**3 - 66*o**3 + 36*o**3 + 216*o**2 wrt o?\nAnswer: 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144088770*q - 144088770*q + q**3 + 0*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 2 + 2 - 2*u + 4 - 4 + (4*u - u - u)*(-1 - 2 + 2) + u + 3*u - 6*u + 3*u - 2*u + 0*u + 1158 - 1158 + 142*u.\nAnswer: 135*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06 and 5114603667.\nAnswer: 5114603667.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 1, s: 1, y: 13, d: 1, x: 1}. What is prob of sequence odx?\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 298\/3805 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**5 + 8743689*r**2 + 82339552*r?\nAnswer: -20*r**3 + 17487378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -26.81. Let w = -1.81 + a. Let q = 1 + -0.7. What is the third smallest value in -0.5, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/3 - 46*i**2\/3 + 74*i + 90 = 0?\nAnswer: -1, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1\/9, -1, -499?\nAnswer: -499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213016 a multiple of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*j - 88*j + 180 + 0*j**2 + 2*j**2.\nAnswer: 2*j**2 + 2*j + 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -585510971 less than 0.2?\nAnswer: 585510971.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 3837?\nAnswer: 38\/3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, e: 6}. What is prob of sequence ec?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -561a65 - -1?\nAnswer: -561a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81.2 + -81. Is h != -2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003852 rounded to four dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3486, 966, -3226, -9090?\n\"Answer: -836*j**2 - 12*j + 4334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6010 + -6010.1. What is the smallest value in 2\/7, v, 0.154?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2002 and 711060?\nAnswer: 101681580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -165247, -331132, -497017, -662902, -828787, -994672?\n\"Answer: -165885*d + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - -2)*(104\/32)\/13. Suppose 5*v + 4*q = -6, 0 = 3*v - q + 6*q + 14. Suppose 0 = -3*c + v*c + 3. Solve 25 = -h*k + c*y, 15 = k + y + 3*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -172. Suppose 50 - 175 = -5*y. Suppose -4*p = p - y. What is the closest to h in p, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 19*a**3 + 63*a**2 - 5*a + 84. Let x(p) = -20*p**3 - 56*p**2 + 6*p - 87. Let c(w) = 8*r(w) + 9*x(w). Differentiate c(d) wrt d.\nAnswer: -84*d**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3370130081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*n + 8*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93520 and 1680.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-10))\/(-7)*(-10)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3.1, -3\/4, -1\/9?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -2*r**3 - 1\/2*r**4 - 3 - 2*r**2 + 0*r. Let k(n) = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/25, -0.1239, -0.4, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2111 or -2167?\nAnswer: -2167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 390783292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 19 = 7029*x - 7032*x, 18 = 2*x - 4*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -3*t**4\/28 - 249*t**3\/7 - 3348*t**2 - 46128*t\/7 + 6592. Solve j(r) = 0 for r.\nAnswer: -124, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74823 and 11707.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102029 is divided by 312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-37) - -133*(-362)\/(-12654).\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/7 in -4, -78\/5, -2, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/(-30)*11*54\/99\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 50.00084. Round m to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2244 and -141\/193732.\nAnswer: 581196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 1 + 2*sqrt(75) - (3 + (sqrt(75) - (sqrt(75) + -1)))) + -2.\nAnswer: -5 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 433 = 441. Solve -4 = -2*u - f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/120 + b**5\/20 + b**4\/4 - b**3\/2 - b**2. Suppose 6*f - 4*f = 8. What is the units digit of i(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbxrxxbxxxxbxrxx. Give prob of picking 1 b, 1 r, and 1 x.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2987\/4 + 748. Let r(x) be the first derivative of 12 - 3*x + 0*x**2 + 0*x**3 + i*x**4. What is the derivative of r(s) wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 18*a**2 - 8*a - 32. Suppose -20*r - 37 = 23. Does 14 divide w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -0 - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -945, -1884, -2823, -3762, -4701?\n\"Answer: -939*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 135, 409, 937, 1803?\nAnswer: 3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t + r + 39, -5*t + 4*r - 54 = 0. Calculate the remainder when (3 - -2)\/((-3263)\/(-16315)) is divided by ((-3)\/2)\/(1\/t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 3*s - 3. Suppose 0 = -2*k + 5*k - 9. Let h be l(k). Let w = 34 + h. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 3728*v + 1423873. Calculate g(432).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/2*3680\/(-18400)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4057812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-65) - (-4)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 11 + 9 + 34 + -1 + 11\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.106*5.\nAnswer: -10.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 619 + -616. Suppose -4*q = -4*n - 12, -k*n - 3 = -q - 8*n. Solve 0 = 3*x + q*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -14. Put -0.1, z, -7, 0.3 in increasing order.\nAnswer: -7, -0.1, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -2 (b) -5.2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 1, -17, -41?\n\"Answer: -3*x**2 - 3*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -152*c + 524. Solve c*w = -q + 4, -w + 18*q - 14 = 22*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50936 + -24481. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6358443 and 7.\nAnswer: 6358450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a - 7. Let x(m) = -3*m**2 - 7*m + 21. Let p(i) = 8*d(i) + 3*x(i). Does 7 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/((-3)\/4). Suppose j = p*j - 56. Let q = 93 - j. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 - -20*(-257960)\/(-500). What is the greatest common factor of m and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 7)\/(-3) + 0. Let h be 237\/(-5) + ((-12)\/30)\/f. Let x = 67 + h. What is the greatest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -24. Let g = 416 - 417. Which is the nearest to 1\/4? (a) g (b) o (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175645093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*l - 2*l + 4*g, 5*l + 2*g - 10 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 9*w + 7*w + 2*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.162, 0, 6896\/5?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63\/10 or 7?\nAnswer: 63\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/108 - 350*w**3\/27 + 61250*w**2\/9 - 1354*w. Factor r(i).\nAnswer: (i - 350)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 33*z - 32*z. Suppose 0 = -z*o - 4, 10*o + 10 = 2*u + 5*o. Factor -1\/4*f + u + 0*f**4 + 1\/2*f**3 + 0*f**2 - 1\/4*f**5.\nAnswer: -f*(f - 1)**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/22 - 4\/(-22). Let w(i) = -2*i - 4. Let a be w(l). Factor 1 - 2*z + 9*z**2 - 2*z - 3*z**a - 3*z**3 - z**3 + z**4.\nAnswer: (z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**3 - 282208*g**2 + 2 + g + 2*g - 118*g**4 + 282210*g**2 to z + s*g**2 + x*g**3 + l*g + p*g**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9503263563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 25*g - 31. What is y(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3355 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3690, 7456, 11256, 15108, 19030, 23040?\n\"Answer: 3*r**3 - r**2 + 3748*r - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 307332?\nAnswer: 3380652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 1\/(-1)) + -14 + -5. Let d(v) = -3*v - 71. Give d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5792*-806\nAnswer: 4668352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 112391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*n = 266*n - 246*n + 387*n + 46640 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 - 98\/(-5). What is the units digit of 15\/2*b\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32277 divided by 4091.\nAnswer: -32277\/4091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = 20994*k - 20991*k - 5*j, 2*j + 103 = -11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 18*d**2 + 74*d + 391. Let s be m(-7). Sort -3\/2, -0.34, 1\/7, s in decreasing order.\nAnswer: s, 1\/7, -0.34, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 52*i = -57*i + 17, 46 = 10*f + 4*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260489187.\nAnswer: 3, 7, 31, 133379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3696 and 6468?\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57990?\nAnswer: 2, 3, 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.656 + 7.656. Sort -6, m, -9, 5, 1 in ascending order.\nAnswer: -9, -6, 1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239 - 10*y - 233 + 472.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from pwwwwwwwpwwwwpwwpw?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/8)\/((90\/(-5))\/54).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.076, 1, 3\/28, 0, 75?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -4, 1552 in increasing order.\nAnswer: -109, -4, 1552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/16 - 171\/(-152). Which is bigger: -4\/1071 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3 + l - 23*l + 2 - 4*l. Give y(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -120, 10, 0, 3 in increasing order.\nAnswer: -120, -16, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 3. Let d(h) = -12*h + 8. Let b(t) = 5*d(t) - 14*z(t). Let j(a) = -a. Suppose 390*u + 2066 = -799 + 915. Calculate u*j(k) + b(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0.5, -8\/53, 124, -15\/7.\nAnswer: -5, -15\/7, -1, -8\/53, 0.5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -b - 9, a = -3*b - 4*a - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -220212?\nAnswer: -220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((14430\/(-25))\/(-13))\/((-2121)\/505)\nAnswer: -74\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -16*i**3\/3 - 56*i - 27. Find the first derivative of j(m) wrt m.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017268 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 4, l: 1, h: 2}. What is prob of picking 3 y and 1 l?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - 1.4. Let a be ((-63)\/(-42))\/((-6)\/(-8)). Let f be a\/7 - 500\/525. What is the second biggest value in 5, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 6*p**2 - 8*p - 2. Let q be f(-7). Suppose -q*g + 58 = -777. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/180 + 23*l**4\/72 - 11*l**3\/9 - 139*l**2. Factor v(i).\nAnswer: -(i - 22)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 846002 + 1146\nAnswer: 847148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-10))\/((-20)\/50). Suppose r - 3269 = -5*y, -3273 = y - 6*y - z*r. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/57)\/(-1))\/(20\/(-60))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = 5*s, s = -s + 4. Let u(o) = -o**2 - 2*o + 1. Let r be u(p). Let f(t) = t**2 + 2*t - 3. Let g be f(-3). Is r greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 16 = -0, -2 = -3*b - 5*u. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4113, -8224, -12335, -16446?\n\"Answer: -4111*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 62*m**3 + 2 - 5.\nAnswer: -62*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 4, 1, -3 in decreasing order.\nAnswer: 16, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699*l = 715*l - 8160. Does 34 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in months?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -971.292 + 976. Let c = t - -0.292. Is c at least as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, -3, 36, -2 in ascending order.\nAnswer: -4, -3, -2, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bio when three letters picked without replacement from obboibo?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r - 6. Let x(f) = -16*f - 5. Let i(g) = 2*x(g) - 3*z(g). What are the prime factors of i(6)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 17*k**2 + 30*k + 28. What is the hundreds digit of t(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58\/6 - (-12)\/(-18). Let m = o - 7. Let q(v) = 0*v - m*v - 2*v**2 - 3*v**3 - 4 + 4*v**3 - v**2. Determine q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/9)*o**(-3\/4)*o)**(43\/3)*((o**(-3)*o)\/((o**(-4)*o)\/o))**(-27) assuming o is positive.\nAnswer: o**(-2177\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Let r(l) = 4 - w - 1 - l**2. Let x(m) = 4*m**2 + m + 5. Let f(q) = -5*r(q) - x(q). Find the second derivative of f(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38394262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4 + 9. Let w(z) = 14*z**2 - z + i + 8*z**2 - 1. Is w(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 56\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(-2*sqrt(1152) + sqrt(8))*6)\/(-4*4*(sqrt(168)\/sqrt(4))\/sqrt(7)).\nAnswer: 3*sqrt(2)\/184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 234\/406 + 0 - (-459 - 1647616\/(-3584))\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811.7703 years to months.\nAnswer: 9741.2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3900136630?\nAnswer: 2, 5, 13, 29, 109, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 26 + 34. Let s = -26 - -66. Calculate the remainder when s is divided by (-14)\/(d\/(-12) + 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -18*b - 1. Let x be h(-4). Let w = x + -67. Solve -5*r = -w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1115 or -2534?\nAnswer: -2534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 21, 40, 65?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-8) + (7 - 0). What are the prime factors of 42\/f - 9\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5, 4*y = -y - 5*i. Let o = 25\/9 - 8\/3. What is the second biggest value in y, 4, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.37 + -8.47. Let k = -45.9 + z. Let a = k - -52.99865. Round a to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -21*z + 84. Let m(b) = 10*b**2 + z*b - 4*b - b - b. Let x(o) = o**2 + 2*o - 1. Let a be x(-2). Give m(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(180)*-1 - (-3 + (sqrt(180) + 0)**2) - (0 + sqrt(180) + -2 - ((sqrt(180) + 0)*-3)**2))*6*3.\nAnswer: -216*sqrt(5) + 25989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 14*w**2 - 10*w + 4. Let y be r(13). Let s = -28 + y. What is the remainder when s is divided by 6\/(-5)*(-15 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + x + 1205, 0*r = 4*r + 3*x - 1611. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 16. Let s be r(-15). Let d be (-1 + -3)*2\/(-8). Suppose -s = -k + d. Solve -k - 2 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23881, 23050, 22219, 21388?\nAnswer: 20557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*((-4 + 2 + 0)*(-3*s + 0*s + 2*s) - 3*s - 2*s + 0*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-630)\/153)\/(2060\/28016).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-6)\/(-8) - 65\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqcq. Give prob of sequence eq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1198*r**2 + 35936*r\/15 - 8\/15 = 0. Calculate r.\nAnswer: -2, 2\/8985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let o = 1.56 + -1.76. Which is the nearest to v? (a) 2 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9*6*24\/(-16). Suppose 0 = o*x - 20*x + 2198. List the prime factors of x.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1511370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3 = c. Let r = 8 - 12. What is the third smallest value in -5, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 400016 = -0*s - 3*p, 0 = -s - 5*p + 399984. Let y be s + -7 + 15\/5. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17857 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(343) + ((5 + 3*sqrt(343) + sqrt(343) + sqrt(343) + sqrt(343) - sqrt(343)) + sqrt(343))**2)*-6 + 4)*3.\nAnswer: -222699 - 7686*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(156)*-2)\/(sqrt(768)*-1 + sqrt(12)).\nAnswer: 12*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:41 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168 - -171. Suppose -3*i + 13 + 5 = k*t, 6 = -2*t. Suppose -4*v + 66 = 10. Solve v*p = i*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 7. Let d be f(5). Let x = d + 38. Suppose x = 5*z, -2*z = 2*v + 2*v - 142. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -659 and -0.05.\nAnswer: 32.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(91)\/(sqrt(7) + sqrt(28)) + (sqrt(117)*-1*-4 + sqrt(117))\/sqrt(9))**2.\nAnswer: -64*sqrt(13)\/3 + 3364\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2188158 and 156.\nAnswer: 56892108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 10.2972?\nAnswer: -102.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67108.\nAnswer: 2, 19, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-14))\/(j\/(j*j\/j**17)) assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.002.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -1)*(1 + -4). Let h = 13 + w. Solve 0 = -q - 3*c - 5, -5*q - 5*c + h = 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Which is the third smallest value? (a) 4 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/3491 (b) 1\/18 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 4*u - 16 = 0, -1863*s = -1867*s + 4*u + 7 + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**9\/5040 + p**7\/2520 + p**6\/720 + p**5\/60 - 2*p**2. Let o(w) be the third derivative of b(w). Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*(-240)\/50*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509052 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*u = 2*k - 5, -3*k + u = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**3 - 7*f**2 - 13*f. Suppose -4*o + 3*q - 21 = 0, 0 = 4*o - q + 21 + 2. Let n be g(o). Suppose 0 = 3*c + n + 19446. Round c to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 32*c = 0. Suppose z + 3*j - 12 = -2*z, c = -3*z - 5*j + 2. Does 4 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -746.\nAnswer: -2\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 334364*l**3 + 2*l**2*u**2 - 3482*u**2 - 32 with respect to l.\nAnswer: 1003092*l**2 + 4*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038618591 to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 12. Let d = h + 4. Suppose 0 = -d*p - p - 5*v - 24, 2*v = -2*p - 8. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 711*m**4 - 143*m**2 wrt m?\nAnswer: 17064*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2456*r + 14927 - 14927. Let i(j) = -2*j. What is i(b(f))?\nAnswer: 4912*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 51, 84, 135, 210?\n\"Answer: b**3 + 14*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/3)\/(109*(-454)\/816519).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854853.6mg to tonnes.\nAnswer: 0.0008548536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 464376461 a multiple of 2248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-5 - -7 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16985083 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbvvyvzyyfy. What is prob of sequence fyy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 1 + 2 - 5 - 156*u + 4 - 10 to the form p + k*u + f*u**2 and give k.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**43*(i*i\/((((i\/i**(-1\/7))\/i*i*i)\/i)\/i)*i)**(-15) assuming i is positive.\nAnswer: i**(-599\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9153 (base 15) to base 10\nAnswer: -30678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beqbmmmqmmmmml. What is prob of picking 1 q, 1 l, and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 17, -387, -1433, -3397, -6555?\nAnswer: -11183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3)*l\/l**(-5\/6)*l**(-4)*l*l*l**(2\/5)*l)**49 assuming l is positive.\nAnswer: l**(3773\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -15. Suppose 2*u + 20*x = 16*x + 18, 0 = u - x. Calculate the remainder when p is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.43 + -0.03. Let t = -407\/15 - -79\/3. Which is the third biggest value? (a) t (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39a546a (base 11) to base 2\nAnswer: -11010011000111010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.200537 decades to millennia.\nAnswer: 0.00200537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((-50 - 21) + 14) - 18?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -7. Suppose -q = -2*m - 5*d - 2, 4*m + 4*d + 12 = 0. Let i = m + 9. Solve i*w + 5*g = 8 + 13, 3*w - 15 = -2*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1343 = 36*r + 911 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-2514)\/(-32)*-4 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1026329 (base 10) to base 15\nAnswer: -15416e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 3:26 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(7\/84). Let i(o) = -q*o + 6*o + 0*o. Let a(d) = -3*d**2. Determine i(a(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c - 83. Let r be h(-19). Let n = -308 + r. What is the highest common factor of 546 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*d - 4 = 2, d = f. Let b be (f + (-2)\/(-1))*0. Round b to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 480?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (400\/1800)\/(5\/3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by ((-9)\/(9\/10))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z = -139 - 89 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -3924.\nAnswer: 1\/1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -15 - -16) + 1 - -12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n - 2740. Calculate x(-198).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3422a5 - 1232?\nAnswer: 341073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 + k + 2. Let y be j(0). Solve -5*u - 3*z = 0, 17 = y*u - u + 4*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 678 or 1048?\nAnswer: 1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.87 and 1457?\nAnswer: 1454.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14. Suppose -4*n + 31 + 15 = -5*l, d = 5*l - 10. Let q = 44 - n. What is the remainder when 57 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 v, and 1 r when four letters picked without replacement from {v: 6, r: 9, e: 4}.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 9 - 27. Let p be m\/4*2\/(-112). Let i = p + -1979\/224. What is the common denominator of i and 8\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 413c - -1?\nAnswer: 413d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*g**3 + 4*g**2 + 44*g**3 - 3*g**2)*(-3*g - g + 5*g).\nAnswer: 18*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {p: 2, z: 7, d: 6, k: 1, o: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 19. Suppose n + r = 4*f, 5*n - 3*n = -2*f - 2. Suppose -3*z - 2*o = -f*o - 2403, 0 = 5*o + 15. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24409\/(-1617) + (3 - 9 - 1152\/(-189))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 3.0887.\nAnswer: 6.1774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:12 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 1\/6 (c) -17 (d) -292 (e) -1\/4 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -2\/3*t**3 - 1\/2*t**2 - 16*t + 0. Let a be l(-1). Is a less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1606, -1799, 790, 7553, 19882, 39169?\nAnswer: 66806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10\/7 (b) -1\/4 (c) 4 (d) -1\/9 (e) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -31*d**2 + 2*d. Let b(j) be the third derivative of -j**4\/12 - 77*j**2. Give b(k(x)).\nAnswer: 62*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38581937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 55. What is the highest common factor of 36 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from gzgzcmmmmcmcmziz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f*f**(3\/4))*f**(1\/6) assuming f is positive.\nAnswer: f**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1585337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i + 7*i + 8*i + 252*i**2 + 12 - 256*i**2.\nAnswer: -4*i**2 - 16*i + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 + 2 - 15*b**2 to the form p*b**2 + k + t*b and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 14969660*l - 11204536025780.\nAnswer: -5*(l - 1496966)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efetebtennff. Give prob of sequence fnbf.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.92 - 4.98. Let s = 6 + r. Let z = 4.4 + -4.1. What is the nearest to s in z, -4, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (110 + -109)*8\/5. What is the fourth biggest value in x, 0, 3\/2, 0.3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76970 - 36833. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2, 0, 18, 6\/25, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 522\/(-33) + (-2)\/11. Let s = 24 - l. What is the remainder when s is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*u + 564, -7*f = -2*f + 15. Let w = u - -181. Let t(p) = p**3 + 7*p**2 + 5*p - 3. Give t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*o + 18 = 0, 131 = 2*d + 3*o + 134 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -361*p**2 + 5*p - 365*p**2 + 725*p**2 + 2 + (8*p + 22*p**2 - p**2 - 10*p)*(-3 + 3 + 1).\nAnswer: 20*p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 3*o - 86*o = -714 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31835.2 + -160341.65.\nAnswer: -192176.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000204314 to seven dps.\nAnswer: -0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 319417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*sqrt(192)*-1)\/(2*sqrt(6)*-2).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 141, 275, 409, 543, 677?\n\"Answer: 134*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13137 - -0.03137. Suppose -2*x + 4*t = 36, 5*x + 24 = -2*t - 54. Which is the fourth biggest value? (a) x (b) -2 (c) -1\/5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 3*x - 2. Let u(d) = 4*d**3 + 3*d**2 - 12*d. Determine -3*q(b) - u(b).\nAnswer: -b**3 - 3*b**2 + 3*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 85*x - 164. What is the remainder when a(5) is divided by 75?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (42\/(-3) - -27) - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2092*g**3 - 20*g**2 + 1213. Let v(n) = 2094*n**3 - 24*n**2 + 1214. Let c(j) = -6*r(j) + 5*v(j). What is the first derivative of c(z) wrt z?\nAnswer: -6246*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 15*t**2 + 15*t - 2. Let a be i(-16). Is (-314)\/(-3)*21\/a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 70 = -5*h, 23 = 5*h - 3*m - 43. Let i(p) = p + 12. Let r be i(-12). Put 1, r, h in ascending order.\nAnswer: r, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 26*j = 39. Let f be (-1 + j)*4\/(1 + -9). Let m + 0*m**f - 2\/3 - 1\/3*m**3 = 0. Calculate m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 160*y**3 - 144*y**3 + 0 + 0.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 16 + 5 + 0 - 54979*l + 54976*l. Let b be (-2)\/7 + (-72)\/(-7). Give g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 31 = -5*w. Let l be (-4)\/w - (-24)\/11. Solve 2*k = 4*k - l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14606580 or 14606566?\nAnswer: 14606566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 21. Suppose 6*q - 4*q - k = 0. Suppose -4*o + q + 1 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/9 - 46*k**3\/3 + 69340*k**2\/9 + 211600*k\/3 - 704000\/9 = 0. What is k?\nAnswer: -220, -10, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 491, 3, -3, -9, 64 in decreasing order.\nAnswer: 491, 64, 3, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (250 - f + 10 + 315)*(2 - 2 - 4 + (-3 + 0 + 5)*(-3 + 0 + 5) + 0 + 1 + 0 + 1 - 4 + 4 - 1 + 3 + 0 - 5 + 3 + 4).\nAnswer: -6*f + 3450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2098 * -4400.\nAnswer: 923.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5))**(-2\/9)*(y\/((y*y\/y**(-8\/5))\/y))\/(y*y*y\/(y\/(y\/y**(-16))*y)) assuming y is positive.\nAnswer: y**(-176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o - 145 = 5*r, 2*o - 263 = r. Suppose 2*a - 6*a = -2*c - 228, 0 = 2*a + 3*c - o. Is 4\/(-6) - a\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1961 = 13*n + 1987. Put 3, 5, n, 32 in ascending order.\nAnswer: n, 3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2422702000 rounded to the nearest 1000000?\nAnswer: -2423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0 + y**2 + 2\/3*y**3 + 0*y + 1\/120*y**6 + 3\/8*y**4 - 2\/15*y**5. Calculate the remainder when 53 is divided by h(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/48*3 + (-1 - -6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2247 smaller than -2248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - -1136410.71?\nAnswer: 1136429.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 11. Let r(i) = 2*i - 4. Let p be 4\/8*56 - -3. Let z = 20 - p. Calculate z*r(h) - 4*l(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-9)\/(-6) - 1). Let v be 5\/(k\/(-428)) + -2. Let c be 130\/2*(8 + v). What is c rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34417 or 103252\/3?\nAnswer: 34417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:42 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69108974 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -55636836 divided by 27818418?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79751043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 k when four letters picked without replacement from bkbkbbddd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 15*n + 2. Let i be a(15). Solve m + 2*h + 5 = 0, -h - 6 = i*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = 0. Suppose -h - 5*w - 16 = p, w + 1 = -3. Suppose 3*j - 8 = -5*q - 4, 2*j + h*q - 2 = 0. Solve -9 = -4*g - j*s, 5 = 5*g + 4*s - 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6403, -7022, -7685, -8398, -9167?\nAnswer: -9998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125934 divided by -302?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a factor of 1831738596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338862 is divided by 338024.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 - -1034?\nAnswer: 1035.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 109534.54 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1559678ml to litres.\nAnswer: 0.0001559678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:43 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 29*a**7\/42 - a**4\/12 + 3*a**2 - 2*a + 16. Find the third derivative of o(w) wrt w.\nAnswer: 1740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + 4*q**2 - 4*q + 4. Let m be h(2). Let t = 16 + m. Factor 2*u + 0*u**3 + t - u**2 - 6*u**3 + 2*u**4 + 4*u**3 - 5*u**2.\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41385)\/(-2) - 70\/(-280) - 3\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2286 and 3511042?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 22 = -5*c, -4*c - 5*z + 2*z = -36. Let v(o) = 4*o**2 - 4*o - 2. Let w(q) = -3*q**2 + 5*q + 2. Let t(u) = 2*v(u) + 3*w(u). What is t(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162 + 1 + 1 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -14.2. Put 2\/13, 1\/12, y in increasing order.\nAnswer: y, 1\/12, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 103 = -0*t - c, 0 = 3*t + 2*c - 311. Suppose -5*d + 3*r - 6*r + 72 = 0, -2*r + 58 = 4*d. Calculate the greatest common divisor of t and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -102210120?\nAnswer: -102210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - 5*d**3 + 3*d**3)*(0 + 0 - 2)*(-9338*d**2 - 68223*d**2 - 27897*d**2 + 3675*d**2 - 24751*d**2).\nAnswer: 506136*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3785 - -5487. What is the lowest common multiple of 20 and p?\nAnswer: 17020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 2, -4 in increasing order.\nAnswer: -100, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 0.4 (c) -1 (d) -2\/5 (e) 19 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -19*u**2 + 1\/80*u**5 + 0 + 0*u + 1\/1440*u**6 + 5\/96*u**4 + 3*u**3. Let f(n) be the first derivative of k(n). Factor f(p).\nAnswer: (p + 1)*(p + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134\/7 <= 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.026*-3.5\nAnswer: 0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.47? (a) -1\/2 (b) -1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - 1556\/(-112). Let m = 14 - t. Sort 0.3, 1, m in decreasing order.\nAnswer: 1, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32356064 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: Let a(c) = -9*c**3 + 6*c**2 + 10*c - 8. Is a(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 30374*j - 364456\/3.\nAnswer: -2*(j + 4)*(j + 45557)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 4 = -19*j, -3*a + 4*j - 34 = 0. Suppose 2*l = 6*l. What is the smallest value in l, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11442562 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 493*v*z**2 + 16*v*z - 81*v - 2*z + 72 wrt z.\nAnswer: 986*v*z + 16*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511784635 divided by -102356927.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/18, -463, -5, 0.9?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/(-75))\/(-2))\/(7*(-18)\/315)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1\/(-2)*44. Suppose -3*t + 14 + 4 = 0. Calculate the common denominator of 97\/2 and 21\/h - (t + -6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/11 - 68*a**4\/11 + 552*a**3\/11 - 892*a**2\/11 + 410*a\/11 = 0.\nAnswer: -41, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m**2 + 9*m + 4. Let k be d(8). What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19407 + 19446.322. What is q rounded to 1 dp?\nAnswer: 39.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(11)*2))\/(1*3*sqrt(7)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 157144422 and 157144422 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 19*c - 21. Let n be j(-20). Let f be 1\/3 + n + (-196)\/(-231). What is the closest to 1\/4 in 16, f, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 + 22679*j**2\/4 - 316918*j + 4434108.\nAnswer: -(j - 22623)*(j - 28)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 0 + 3*g - 2\/9*g**2 - 1\/27*g**3 + 1\/54*g**4. Factor f(m).\nAnswer: 2*(m - 2)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4326*u. Let b(g) = 2*g**2. What is i(b(q))?\nAnswer: -8652*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17613*r**5 - 313*r**4 - 58*r**2 - 506551?\nAnswer: -1056780*r**2 - 7512*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 4, e: 5, u: 2, q: 1, z: 1}. Give prob of picking 1 x and 1 q.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3 = -5*n + 22, -2*s + 3*n = 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98696032 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1792 and 121\/24.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t**(5\/6)*t*t)\/t*t*t**(1\/3)*t assuming t is positive.\nAnswer: t**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 0. Let o = d + 8. Is 46 + o\/(3 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(20\/25*3\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4637438921 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h - 1. Let f be k(-3). Suppose 2*o - f = o. Solve 0 = g - r - o, 0 = -2*r + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/(-12))\/((-135)\/(-108)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8193219*z**4 + 2580672*z - 1?\nAnswer: 98318628*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00078853 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 656b95 (base 14) in base 3?\nAnswer: 20110122202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46533664517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 5*s + 1. Let n be q(-4). Let g be (n + -3)*2\/(-3). Let d(f) = -f + 5*f**2 - f**2 - 3 + g. Calculate d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/952013 and 10\/62541.\nAnswer: 8568117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 1. Let q(x) = -6*x**2 + 29*x + 4. Determine -4*g(l) - q(l).\nAnswer: 2*l**2 - 29*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9537 and 1440954?\nAnswer: 15850494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 12:58 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136249?\nAnswer: 19, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3654 + -3679.27. Let p = h - 0.73. Let y = p - -26. Which is the fourth smallest value? (a) -7 (b) 4\/9 (c) y (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 3*h**3 - 4*h**3 + (h - 23 + 23)*(-13*h**2 + 6*h**2 - 16*h**2) in the form k*h + c*h**3 + y + v*h**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/6 + 9*h**2 - h. Let a be w(0). Suppose -a = -3*f + 36. What is the greatest common factor of 27 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 297467? (a) -2 (b) -3.8 (c) 0 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8772 and 49\/30?\nAnswer: 43860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011 - 1011010011011001111?\nAnswer: -1011010011001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/5)\/((-31)\/(620\/8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86369430 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 0 + 0 + 1)*(-103*w + 16*w**2 + 103*w) to the form o*w**2 + t*w**3 + b + z*w and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18320 take away -326238153?\nAnswer: 326219833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -223 bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1885156638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4105615.92 rounded to the nearest 10000?\nAnswer: -4110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15101, 15161, 15215, 15263, 15305, 15341?\nAnswer: 15371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109101779403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1740300 and 11\/1113792.\nAnswer: 27844800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/8941590 and -151\/1026.\nAnswer: 8941590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**3 + 13*d**2 + 7*d - 13. Let m(k) = -4*k**3 - 6*k**2 - 4*k + 6. Let g(o) = -6*l(o) - 13*m(o). Find the second derivative of g(j) wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24509799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1\/3 (c) -0.3 (d) -1 (e) 4 (f) -0.4 (g) -0.15257\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -74. Solve -h + 6*h - q = 2*z, 7 = -z + 2*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*v + 3*v, 0 = -4*m + v + 151. Let d = m - 35. Suppose -5*x + 369 = -d*w, 1 = 2*w - 7. Is x a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2564455 (base 10) to base 2\nAnswer: -1001110010000101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -55, -239, -613, -1243?\nAnswer: -2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121154105*o**4 - 3*o**2 + 424453526*o - 2?\nAnswer: 1453849260*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2. Let q(i) = i. Let n(x) = x**2 - 4*x. Let g(u) = n(u) + 4*q(u). What is k(g(l))?\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(275) - (sqrt(275) + 2)))**2 + 1 + (sqrt(275)*-1 + sqrt(275) + sqrt(275))**2 + -2 + -3*(sqrt(275)*-5 + 2 + -3)**2.\nAnswer: -20210 - 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 - 2)*(-5 + 1 + 0)*(2 + f - 2).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698800 rounded to the nearest 10000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57149 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16978 and 193921?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13588381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*m = 124*m - 41*m - 4075 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 4:55 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 82?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-112)\/21)\/(-16))\/((-6)\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 1 + 1. Suppose 57 = 16*i - 13*i. Let h(r) = i*r**2 - 6*r**2 - 5*r**2. Determine h(x(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 7*f - 5*m - 12, 5*m = -2*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -5122, -16061, -36830, -70705, -120962, -190877, -283726?\nAnswer: -402785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/16 - (-2)\/(-4))*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 958097*h**2\/3 + 3832424*h - 11497308.\nAnswer: -(h - 6)**2*(h + 958109)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s = 9541 - 9479 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 20*i - 9. Let c be z(-9). What is the greatest common divisor of 243 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 - 26*q**2 - 18*q - 14. Let p(w) = -5*w - 38 - w - 9*w**2 + 33 - 2*w**3. Let z(s) = -3*o(s) + 8*p(s). Factor z(c).\nAnswer: 2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 9*u**2 + 30*u - 11. Let x be d(-12). Let c(j) = 67 + x - 190 + 2*j + 60. Let z(g) = 2*g**2. Calculate z(c(f)).\nAnswer: 8*f**2 - 16*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2 + 96*k + 209 wrt k.\nAnswer: -2*k + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22828 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 81*k + 70*k + 93 = 0, -5*k + 2*k + 6*k = f + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xttxxijximxxmi. What is prob of picking 1 j and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 228358?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 14*b**3 - 10*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 108 times -0.8\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 0*z - 378 = 0. What is the remainder when z is divided by 2\/3 - 86\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:14 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(121) + sqrt(121)*-2 - sqrt(121)))\/sqrt(11).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 1236292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -15. What is the nearest to 1 in o, -5, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2912 is divided by 487?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 1, i: 1, e: 1, q: 1, k: 1}. What is prob of sequence vi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:22 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffq when three letters picked without replacement from fqffffff.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 83, 170, 257, 344, 431, 518?\n\"Answer: 87*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 26. Put -1, 1, p in increasing order.\nAnswer: p, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 + 5*b**2)*(178 - 178 - 3*b) + (-23 + 23 - 8*b)*(2*b**2 - 3*b + 3*b).\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5\/5 + 72*h**4\/5 - 132*h**3\/5 + 64*h**2\/5 = 0. Calculate h.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)\/(q\/(q*(q**(-8)\/q)\/q))*q**10\/q**(-9) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 796701947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*l - 360 - 352 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*a**2 - 2374*a - 2398.\nAnswer: 2*(a + 1)*(12*a - 1199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 27, -1\/4, -27?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5 - 405\/75)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 11) in base 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/(-935) - 10416\/238?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 10. Let l be i(14). Solve -l*w + w - 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 3*t. What is i(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -9. Suppose 4*b = -6*s + 4*s + h, -s = 5*b - 19. Suppose -5 + 13 = b*z. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186842653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20.46 times 2\nAnswer: 40.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/40 + 1\/5. Which is the third smallest value? (a) h (b) -8 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -104. What is the third derivative of 44*c**6 - 39*c**6 - 3*c**5 + i*c**2 + 3*c**2 - c**2 wrt c?\nAnswer: 600*c**3 - 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/15 (b) 2\/139 (c) -9 (d) -1\/5 (e) -4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -q + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847444.\nAnswer: 2, 461861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 7. Let v be (4\/(-5))\/(x\/(-60)). Let t = -4 + v. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*y - 35. Let s = y + -4. Suppose 3*b + 5*n = 74, 3*b + 116 = s*b - 2*n. What is the remainder when 54 is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - y + 2*u - 2 = 0, 4*y + 25 = 3*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9760.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14172 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/18 + 4\/(-48)*38. Let k(u) = -2*u**3 + 3*u**2 + 5*u + 4. List the prime factors of k(c).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 13}. What is prob of picking 3 n?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/11 + 22268*h**3\/11 - 488926*h**2\/11 - 22268*h\/11 + 44448 = 0. What is h?\nAnswer: -1, 1, 22, 11112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/61764787 and 87\/8?\nAnswer: 494118296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.999942 - -42. What is s rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25867 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610217 is divided by 122043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48a65 (base 14) in base 10?\nAnswer: -177665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2. Let b(v) = 2*v - 2. Let l(h) = 4*h - 5. Let x(p) = -10*b(p) + 4*l(p). Give y(x(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2656a (base 13) to base 6.\nAnswer: 1305445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1 - 2 + 3*i**2 + 2. Let r be x(-1). Suppose -14*w - 412 = -398. Sort -3, r, w.\nAnswer: -3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1 (c) 2538721 (d) 0.22 (e) 1\/4 (f) -5 (g) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -11 + 77 + -52\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/3 - 637390*i\/3 - 212463 = 0. What is i?\nAnswer: -637389, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/25 - -64\/175. Let x = 2\/201 - 460\/5829. Which is the closest to m? (a) -0.1 (b) x (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26d - -179?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x - 2 + x + 5*x - 5*x. Let g be n(-3). Let u(w) = 2*w + 8. Let b(t) = -4*t - 3*t + t - 23. Calculate g*u(p) - 6*b(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**3 + 143*c + 36*c**3 + 119*c - 412*c + 150*c.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 - 523?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 3*j - 7*j - 15517 + 2*j**3 + j + 30725 - 15351 to p*j**3 + o*j**2 + s*j + m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*a - 3. Let q = -4 + a. Calculate the remainder when 3 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.2 - -231.2. Let k = g + -199.00137. Round k to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 (base 6) in base 5?\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717231442.\nAnswer: 2, 858615721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15720 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/6)\/((-4)\/408) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 + -74. Suppose 7*d = 34*d - 2970. What is the remainder when d is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -241, -3, -2, 2, -5.\nAnswer: -241, -5, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 244\/23*n - 2\/23*n**3 + 242\/23*n**2 = 0. Calculate n.\nAnswer: -1, 0, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200002011 (base 3) in base 9?\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - (-1899)\/36 - 1. Let x = 52 - o. Let q(s) = 7*s**2 - s. Let p be q(-1). Solve x = 5*m + 3 - p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37 + -0.03. Let q be 27\/6 + (7 - (0 - -12)). What is the smallest value in q, 0, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 265 in ascending order.\nAnswer: -5, -1, 2, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8*g**5*g*g**8*g\/g**(-8))**(1\/6) assuming g is positive.\nAnswer: g**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + 115*r - 11111\/2.\nAnswer: (r - 41)*(r + 271)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 15\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 0.4, 5, 2, -20, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 0, -3 in ascending order.\nAnswer: -60, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -58. Let u(w) = -4*w - 1. Let k be u(1). What is the remainder when 2\/(k\/((-660)\/8)) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16845754279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 175*u - 4491. Let t be r(26). Solve -11*h + t = 59 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9020, -9008, -8982, -8936, -8864, -8760, -8618, -8432?\n\"Answer: z**3 + z**2 + 2*z - 9024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-66))\/(90\/165).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.769 and -4698?\nAnswer: 3612.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -287 or -4286\/15?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8 + 12 + 430000*q**2 - q + 3*q. Let z be w(-2). Round z to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*s - 419*s = -816. Solve -2*h = -2*o + 18 - s, -h = 5*o + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -40\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7353*k - 162071. Determine t(22).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/29)*x*x\/x**19 assuming x is positive.\nAnswer: x**(-494\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 0 + 1 - 1. Let q(r) be the first derivative of -3 - 6*r**2 + 2*r**2 + 3*r**2 + 0. Determine j(q(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 60950 + o**2 - 51630 + o.\nAnswer: -3*o**2 + o + 9320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 6:39 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u + 1. Let s be l(-1). Let h be s - (2 - 0) - -23. Suppose 0 = -5*o + 50 + h. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(5000) - (-2*sqrt(5000) + sqrt(5000))) + sqrt(5000) - ((sqrt(200) - sqrt(50)) + sqrt(50))*-2)\/(-1*sqrt(360)*-2).\nAnswer: -3 + 17*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 479?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -36*f. Let y(n) = 15 + 2*n - 15. What is d(y(a))?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 4*o**5\/5 + 40*o**4 + 768*o**3 + 7168*o**2 + 32768*o + 1115. Factor k(w).\nAnswer: 4*(w + 8)**3*(w + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/5 - (-4 - -1). Suppose -4*z + 17 = a*p, 0*p + 4 = -z + 2*p. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 7*l**2 - 3 - 9 + 15.\nAnswer: 7*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*d + 12, 4*d + 3*o + 7 = 19. Suppose -d*j + 13 = 4. Suppose -j*n + 4*r = -20 - 5, -n + 3*r = -5. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-15)\/5)\/((-2)\/12) and 135\/(-10)*4\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.885509mg?\nAnswer: 885509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 + 20 = 0. Suppose 4*h - n*p - 244 = 3*h, -h - 5*p = -284. Suppose 2*y - h = -1. List the prime factors of y.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486346 - 486346 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:51 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2. Let d(a) = 2*a**2. Let s(n) = -4*d(n) + 3*k(n). Let j(l) = 12*l. Determine s(j(f)).\nAnswer: -288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -105. Suppose 21 = 2*h + z. Let t(w) = 9*w**2 + 1. Calculate t(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 45, -0.3, -1\/11, -9?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let j be m(-8). What is the remainder when (-40)\/(-16)*j\/(-10) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*t + 159, 6*f = f - 5*t + 230. Let b be (-4)\/(-30) + 64\/(-30) + 3. Calculate the greatest common factor of f and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + ((-70)\/(-4) + -14)\/(1\/(-2)). Let h(c) be the first derivative of 0*c**2 - 1\/9*c**4 + 0*c + 1\/27*c**s + 3 + 2\/45*c**5 + 0*c**3. Factor h(f).\nAnswer: 2*f**3*(f - 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 5440?\nAnswer: 48960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 2*n + 2. Let u be (35\/(-49))\/(18\/(-756)). Let k = u + n. Put k, 3, -1 in increasing order.\nAnswer: -1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25662 (base 10) to base 2.\nAnswer: -110010000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 11, w: 2}. What is prob of sequence sw?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 4. Let y(x) be the second derivative of -x**3\/3 + 3*x**2\/2 + 4*x. What is -4*n(m) + 5*y(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 + 0 + 0 - 9*h**2 + 4*h**2.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**2 + 54*y**2 - 701*y - 28*y**2 + 1394*y - 693*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.1 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1923*i**3 - 11573*i**2?\nAnswer: -11538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34698*g**6 + 8*g**4 - 124644*g**2 + 3*g wrt g.\nAnswer: 4163760*g**3 + 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -45*x + 56. Let c be j(1). Solve -5*i = 3*b + c, -i = 4*b - 1 + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 193.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 divided by 100?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Let l = -0.5 + d. Let a be 70 - 35 - 29 - 13\/2. What is the biggest value in 1, a, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(29\/2)\/((m\/m**29)\/m))\/(m**(-33)\/m)**(-1\/40) assuming m is positive.\nAnswer: m**(853\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.06 (b) -5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1541\/17885, -0.4, 0.3.\nAnswer: -0.4, 1541\/17885, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = 0, 0*r = -4*f - r + 16. List the prime factors of 97\/f + (-2)\/(-3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 3. Let w be k(9). Let a be w\/28 - (-45)\/(-4). What is the units digit of (1*-3)\/(9\/a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, k: 1, q: 9, n: 2}. Give prob of sequence qk.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 - (175 - 206)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/12 - 2*w**3\/3 + 4*w**2 - 35*w. What is the units digit of y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 16*f**2 - 3*f**2 + 9)*(-3*f**2 - 3*f**2 + 4*f**2) to x*f**2 + k*f**3 + y + h*f**4 + j*f and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8662 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 3 + sqrt(832) + -2)**2 + 1*((sqrt(832) - sqrt(832)*-4) + sqrt(832))**2*2*-4.\nAnswer: -234408 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028 = -4*c - 4*b, 3*c - 2*c + 3*b = -255. Let g = 426 + c. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -1\/60*s**6 + 0*s**5 + 53\/8*s**4 + 0*s + 5\/21*s**7 + 0 - 136*s**2 + 0*s**3. Find the second derivative of h(f) wrt f.\nAnswer: 600*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 54*v + 76 + 159 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144875, -289886, -434897?\nAnswer: -579908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 12*c - 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**4 + 173*u**2 + 602 wrt u?\nAnswer: -8*u**3 + 346*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2*(-3)\/30). Suppose o*a + 1 = 61. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 0.1, -0.00109357 in ascending order.\nAnswer: -57, -0.00109357, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -3*x**5\/80 - 113*x**4\/4 - 50621*x**3\/8 + 154587*x**2\/4 + 2*x + 1979. Find h, given that s(h) = 0.\nAnswer: -227, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + r**3 + 128*r - 128*r + 2*r**4 as l*r**2 + n + v*r + m*r**4 + a*r**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7740.71 days?\nAnswer: 668797344000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/50847 or 1?\nAnswer: -2\/50847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18081197.508 rounded to the nearest one hundred?\nAnswer: -18081200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4406, 4408, 4410, 4412, 4414?\n\"Answer: 2*g + 4404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-253)\/(-1) + (0 - -1). Let r = -24 + y. Suppose -2 + r = 4*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 36 = 4*q. What is the derivative of -2*a - 8*a + 2*a - q*a + 23 wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*u**2 - 39*u**2 + 3 + 2*u**3 - 39*u**2 to the form w*u + q*u**2 + y*u**3 + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 9 + 0*d**2 + 1\/3*d**3 + 0*d. Let j(o) = 15*o**2. Give m(j(n)).\nAnswer: 225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -10100?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 150181 divided by -769?\nAnswer: -150181\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -133*h**2 + 5*h**3 + 3 + 1 - 4*h + 133*h**2. Let g(q) = -11*q**3 + 9*q - 9. Let u be 9\/((-6)\/2 - -2). Determine u*p(o) - 4*g(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 1:59 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 12:47 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954 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: Which is smaller: 131 or 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 9590 = -9*b. Let z be b\/22 - (-44)\/(-242). Suppose 73 = 2*m - z. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 104 = 5*z, 4*z = 5*h - 3*h - 62. Suppose h*l = 20*l + 15314. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/24 and 43\/2685.\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -29*l + 23. Determine u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j + 25. Let y be b(0). Solve 0 = -3*z + 3*x - 5*x - 9, -5*x + y = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1972786, 1972785, 1972784, 1972783, 1972782, 1972781?\n\"Answer: -b + 1972787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-484)*(-64)\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 30*w**2 - 211*w + 3. Let y be t(-11). Solve 17*r - 43 = y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41728.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 681 - 22*l - 681 as h*l + p and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2356.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1260 and -85\/94482.\nAnswer: 6613740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -7*l**5\/15 - 17*l**3\/6 + 16*l**2. What is the first derivative of q(i) wrt i?\nAnswer: -56*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 12. What is the highest common divisor of 432 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/18 and 40\/39?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*a - 8, -2*q - q = -4*a + 6. Let f(z) = z**2 + 5*z + 3. Let t be f(a). Suppose t*b + 6665 = 3*o + 494, 5*o - 10291 = 2*b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5572 + -3959. Suppose t - 3*t = 3*a - h, -2*a - 5*t + 1090 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(((-4)\/(-1))\/((-4)\/(-2))). Let t be ((-4)\/f)\/(12\/270). Let v(j) = -j + 10. Calculate v(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 98 + 17*d**2 - 20*d**2 + 32 - 57 + 8 to a*d**2 + g + u*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 15307360 to the nearest 10000.\nAnswer: 15310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 3:51 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**6\/120 - 7*d**5\/60 + 5*d**4\/24 - 5*d**3\/3 + 3*d**2. Is k(7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3950, -4102, -4356, -4712, -5170, -5730?\nAnswer: -6392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzllzlllllllzzlz. What is prob of picking 2 l?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.15067 months in millennia?\nAnswer: 0.0044292225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/10 - 11*i**4\/24 - 7*i**3\/3 - 11*i**2. Let o(r) = 2*r**2 + 4*r + 5. Determine -8*o(a) - 3*s(a).\nAnswer: 2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206 + -204. Let a(y) = 98*y - 3. Let t(h) = -33*h + 1. Let x(z) = 6*a(z) + 17*t(z). Is x(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 1 a when three letters picked without replacement from {m: 1, c: 4, e: 2, i: 1, a: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*y + 3*z - 72855 = -223*y, -5*z - 24321 = -y. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1786 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -51. Which is greater: -34 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10401 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*z - 12 = 0, -8*l = -5*l - 5*z - 31. Solve 0 = q + o + l, 4*q - 1 = 6*q - o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.033, -8\/5, -2\/7 in descending order.\nAnswer: -0.033, -2\/7, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 28 = 5*r, 13 = -7*r + 3*f - 35 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 430617 and 1980.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 26*g + 99. Let k be h(-21). Let b(v) = 27*v + 6. Let r(y) = -29*y - 7. Let m(n) = k*b(n) - 5*r(n). Let u(d) = -4*d**2. Give u(m(i)).\nAnswer: -1156*i**2 - 136*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14176396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106\/175 - 16592\/27475. Let q = 34091\/12089 - b. Calculate the common denominator of q and 40\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let d(v) be the first derivative of -v**3 + 3*v + 1. Let p(h) be the first derivative of d(h). Give 14*b(a) + 2*p(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 divided by -18?\nAnswer: 317\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208224 and 288.\nAnswer: 208224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 76 (c) 3\/7 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = -4*s, -j - 15 = 2*s. Let g = j + 8. Suppose -2*w + g*n = -23, w + 3*w - 4*n - 56 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5, 1 - 6 = -5*c - 3*j. Let z(k) = k - 1. Let s(h) = h**2 - 5*h + 5. Let v(a) = c*s(a) - 10*z(a). Let f(q) = 85*q - 34*q - 41*q. Determine f(v(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7647 less than -7648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a13ae7 + -12?\nAnswer: -1a13b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 + 11*n**3 + 16*n**3 - 41 - 26*n**3 - 11*n to m*n**3 + x*n + f*n**2 + y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -493, -3 in descending order.\nAnswer: 4, -3, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*f**2 + 39*f**2 + 9 - 26*f**2 as b + s*f**2 + a*f and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26639.\nAnswer: 17, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 47 = 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/4050*144\/(-8))\/(1\/175).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*g = 1675, 2946 = 2*q + g - 360. What is the highest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92498675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-10))\/(180\/2376*-2)*-2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - a - 3. Let x be r(3). Let s = x - 0. Suppose 5*c - 7800000 = s*c. Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 greater than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((8 - 3)\/(-1))\/(-1). Suppose -3*p + 7 = -u. Let f be p*2\/(-268) - 0. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.9 (b) -496 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 4691\/134. Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -3 (c) 7\/76 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57.95871708 and -413?\nAnswer: 470.95871708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13*r + 32. Let t(v) = v**2 + 14*v - 30. Let y(q) = -3*i(q) - 4*t(q). Let h(n) = -n**2 - 4*n + 6. Let k(z) = 26*h(z) - 6*y(z). Factor k(g).\nAnswer: -2*(g - 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729*k**2 + 0*k - 660*k**2 - k + 1376*k**2.\nAnswer: -13*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(28)\/sqrt(4) + sqrt(7) - (-1 + sqrt(700)))*-3)**2.\nAnswer: -126*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 4)*(-d**4 + 2*d**3 - d**4 - 3*d**3) as g*d**2 + n + a*d**4 + l*d + r*d**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 10. Let o = x + -2. What are the prime factors of 6\/o - 31\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/96 and -17\/2696?\nAnswer: 32352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-273)\/104)\/21 - 1033\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 - 67*z - 19. What is d(-16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 263960258.89 less than -24?\nAnswer: -263960282.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 50*n**2 + n - 12. Let u be o(4). Let t = 32 + -358. Let v = u + t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*n = -87*n. Which is the biggest value? (a) 2 (b) 3\/8 (c) n (d) -189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 6 - (-6 + -4 - 0) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2324264 nanograms?\nAnswer: 0.0000000000000002324264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196702808?\nAnswer: 2, 23, 97, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let s be (-4 + 126\/33)*z. Factor -4\/11*g**3 + 2\/11*g**5 + s*g**4 + 2\/11*g - 4\/11*g**2 + 2\/11.\nAnswer: 2*(g - 1)**2*(g + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3 + 45*t**2 + 96*t - 144 = 0.\nAnswer: -12, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-29)\/145)\/(((-42)\/(-3930))\/7))\/(3\/3).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-3213)\/(-5508)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 + -6.7. What is the closest to 1 in 5, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 847738*51\/(-6) + -3. Let t = 1605776 + x. Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1917, -1928, -1939, -1950?\n\"Answer: -11*d - 1906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opkkokposkpszkost. Give prob of picking 1 t and 2 p.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115 and 770010.\nAnswer: 17710230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2. Let s(h) = 25*h**2. Give s(k(j)).\nAnswer: 225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -22 + 9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -35. Let d(a) = -151*a - 176*a - 23 + 115*a. Is d(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - i - 1. Let q be a(-1). What is the units digit of q\/8 + 142\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.56 + -1.96. Let u = 1.6 - r. Which is the smallest value? (a) 27 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1949 (base 13) in base 8?\nAnswer: -7303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, e: 2, c: 3, g: 2, v: 1, k: 4}. What is prob of picking 1 e and 2 g?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 697.2295 to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212334329 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -56 in increasing order.\nAnswer: -56, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*(-6 - -6) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 1\/4, 2, -795286?\nAnswer: -795286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 18 = r, p = -4*p - r - 31 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/24128766 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60625 is divided by 519.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 - 10839553.38456\nAnswer: -10839553.40756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*j = -779 + 1785 + 534 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 3, -5, -7, -3, 7, 23?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -246*q - 2. Let b(f) = -5*f. Calculate c(b(w)).\nAnswer: 1230*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6*(-2 - -6). Let y(b) = -1. Let r(k) = -k - 1. Give f*y(t) + r(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 3 + (7 - 5 - 5). Suppose w + 9 = 4*k - 13, 4*k - 26 = 3*w. Which is the second biggest value? (a) 2 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3898 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 5*b**2 + 11*b - 5. Let h(x) = x**3 + 4*x**2 - 10*x + 4. Give 6*h(s) + 5*n(s).\nAnswer: s**3 - s**2 - 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 + 30*c**2 - 6*c + 73. Determine w(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318645469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3 - 1 + 22*j as g*j + k and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335071*a - 3*d + 160 = -335073*a, -d = -5*a - 387 for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*t = -k - 3, -2*t + 12 = -4*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by 251?\nAnswer: -83\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most 51596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 787 and 4771250?\nAnswer: 4770463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {q: 9, k: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(66))\/sqrt(6) - sqrt(11)) + sqrt(11))*-6 + -1*sqrt(66)\/sqrt(6)*-2)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3866*d + 146. What is the units digit of b(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 359*c*m*q + 122*c*q + c + 189*m*q - 31*m + 3638*q + 3 wrt m?\nAnswer: 359*c*q + 189*q - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:06 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1937, -3989, -6051, -8123?\nAnswer: -10205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 1\/60*u**4 + 0 - 2*u - 1\/5*u**2 - 1\/30*u**3. Factor q(l).\nAnswer: (l - 2)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**4 - 5*o**4 + 0*o**4)*(4 - 2 - 1) - 2*o + 1 - o**4 - 1 + (-5*o**2 - 34*o**2 - 7*o**2)*(0*o**2 - 3*o**2 - o**2).\nAnswer: 182*o**4 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -0.5 (c) -2 (d) 14 (e) -63214 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14322 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Let a = 16 + 2. Let r = 40 - a. Solve -t = -i - 6, -p*t = -0*i - 5*i - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32343954.09 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22441 (base 5) to base 14.\nAnswer: -83b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -6*h**2 + 0*h + 1\/56*h**4 + 0 - 1\/420*h**5 - 1\/21*h**3. Suppose x(o) = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -312021?\nAnswer: -312020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2313\/44 + (-1)\/(-4). Let t = 4355\/66 - v. Calculate the common denominator of t and 429\/(-18) - (12 - 9) - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4)\/(-6)*651\/62?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t - p = -82*t, 3*p = -138*t - 660 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 20*a**3 - 3*a**2 - 97*a + 2. Let r(b) = -40*b**3 + 8*b**2 + 195*b - 5. Let s(j) = -2*r(j) - 5*y(j). What is the second derivative of s(m) wrt m?\nAnswer: -120*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 2*c**5\/5 - 8*c**4 + 17*c**3 + c**2\/2 - 584*c + 4478. What is the second derivative of l(m) wrt m?\nAnswer: 24*m**2 - 192*m + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14678 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 = 8. Let v(q) = -q + 1. Let d(l) = 5*l - 8. Let n(b) = h*d(b) + 3*v(b). What is n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, 0.4, -37\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 5*t**2 + 0*t**2 + 3 + 2*t**2. Let m(h) be the first derivative of -h**2\/2 - 16. Determine i(m(c)).\nAnswer: -4*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 + 2*f - 15. Let t be a(9). Suppose t*l = 18 + 591. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135.7 * 0.3\nAnswer: -40.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.722 rounded to the nearest integer?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/12 + -3)*-3. Suppose -152 = -4*g - v + 44, g - j*v = 66. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -96*x - 2. Let o(p) = -192*p - 1. What is -3*o(r) + 5*z(r)?\nAnswer: 96*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/450 + -11111\/12600. Calculate the common denominator of (118*(-3)\/33)\/4 and q.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 96, 83, 64, 39, 8, -29?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 404499 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 - 5*f. Let w(y) = 8*y**2. What is z(w(i))?\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 4.49. Let h = -741.247 - -745.647135. Let x = q - h. Round x to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {r: 3, u: 1, q: 1, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+12.68148469824\nAnswer: 12.88148469824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-4) - (1 - 3). Suppose h = 2*k - 4*k + 10. Suppose 67 = -3*u + 4*u - k*g, -71 = -u + g. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*p + 12 = 0, 2*b + 2*p + 1 = 7. Suppose -12 = -h - 3*x, b*h = -5*x + 19 + 13. Let w be 5\/(-15)*3*-10. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1326205004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 + 2)\/(-2))\/(-1). Let u = 3813\/12350 - 1\/950. Are i and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2227230989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10499168 divided by 63248.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1043, 48, 1, 0, 93, -2 in decreasing order.\nAnswer: 93, 48, 1, 0, -2, -1043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3940311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 79.472004524?\nAnswer: 76.472004524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/120 + j**5\/20 - j**4\/6 + 5*j**3\/6 + 15*j**2 - 2*j. Let f be h(2). What is the nearest to f in 1, -1, 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/10332250 and -65\/12.\nAnswer: 61993500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*k + 1, 0*q + k = 2*q + 1. Sort q, -2, 4, -3.\nAnswer: -3, -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-1)*(-1)\/(((-134)\/6700)\/(4\/(-50)))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -888?\nAnswer: -532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:15 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300686 = 4*l - 2*a, l = -3*a + 30871 + 44311. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = i. Let m be i*-1*(-1)\/(-3). Which is the nearest to 0? (a) -1 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 + -9 + 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/9 - 1676060*c\/3 - 351147140450 = 0.\nAnswer: -1257045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express (798*p - 1581*p + 34 + 790*p)*(-3*p**3 - 2*p**3 + 6*p**3) as v*p**3 + r*p**2 + i*p + o + z*p**4 and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*h - 5*h = -39, 2*z - 33 = -3*h. Let i(m) = 117*m + 3. Let a be i(2). Suppose 6*f - a = 771. What is the highest common factor of f and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 187395919 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k - 1. Let c(w) = w + 10. Let i be c(-8). What is the units digit of g(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14285 * -3.\nAnswer: 42855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**5 - 190*h**4 - 58265*h**3 - 939950*h**2 - 4461000*h - 6480000 = 0.\nAnswer: -80, -10, -4, -3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29007 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5547553684.\nAnswer: 2, 257, 5396453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10515 (base 6) in base 5?\nAnswer: -21422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*n - 4, 6*k - 2*k + 5*n - 57 = 0. Let b = k + -5. Suppose -b*z = -6 - 0. Put -4, z, 4 in descending order.\nAnswer: 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**(-22)*(w**(-2\/5))**(-2\/169) assuming w is positive.\nAnswer: w**(-18578\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*r**3*t**2*v**2 - 6*r**3*t**2*v - r**3 - r**2*t**2*v + 2*r**2*v**3 - 3*r*v wrt v.\nAnswer: -322*r**3*t**2 + 12*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 3*m + 3*m - 20596 + 20591 + 2*m**2.\nAnswer: -3*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 15*c + 500. Give z(31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 5*x**2 + 6*x + 1. Let m be y(-1). Which is greater: -26\/167 or m?\nAnswer: -26\/167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26041 by -14.\nAnswer: -26041\/14","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*r**2 + 128635*f*r - 2089711*f + 2*r**2 wrt r?\nAnswer: -4*f*r + 128635*f + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-3)\/9*-6. Suppose -t*u - 348 + 4862 = 0. Let b = u - 9107\/4. Find the common denominator of 24\/7 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) + sqrt(189) + (sqrt(189)*-2*5 - sqrt(189)))\/((2*sqrt(70)\/sqrt(2))\/sqrt(5)).\nAnswer: -27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**4\/2 - 8*a**3\/3 + 9*a**2. Let k(o) = 4*o - 5. Calculate 16*k(q) - 5*x(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2156*f + 3260. Let s(r) = -4*r - 5. Let m(k) = d(k) + 3*s(k). What is the first derivative of m(g) wrt g?\nAnswer: 2144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203\/984 - -10\/123. Let p = 6 - 31\/5. Let c be (-2)\/4*4\/8. What is the closest to -3 in c, p, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 + 181252*x**3 + 4169582*x**2 + 24656048*x + 43511520 = 0.\nAnswer: -15, -4, 90649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (-18*(-10)\/1560)\/(60\/3800)\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -5, 0.4, 0.9, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 10215724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92360 and 7500.\nAnswer: 34635000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:13 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*h + 15*h - 11*h)*(2*h - h**4 - 2*h + 2*h**4 + h**4 - h**4 + (-3*h**2 + 2*h**2 + 0*h**2)*(-2*h**2 + 0*h + 0*h)).\nAnswer: 93*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35355705 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-3) - (-92946)\/(-139419).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**2 - 208983*t - 52246 = 0?\nAnswer: -1\/4, 52246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 35, -2, 150\/41, 4?\nAnswer: 150\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (286 - 290) + 1*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11250 + -1514524?\nAnswer: -1503234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -824395927 and -824395927 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 206 = -7*j, -3*j + 102*b - 446 = 53*b + 45*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**4 - 2*j**3 + 6*j**2 - 6. Let m(c) = 5*c**4 - 7*c**3 + 17*c**2 - 17. Let k(n) = -17*g(n) + 6*m(n). What is z in k(z) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -89, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -103010055 (base 8) to base 13\nAnswer: -3841355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/((-6)\/131334752). Let m = r + -18057927. Let t = -40075761 + m. Round t to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9664 (base 12) to base 14\nAnswer: -6020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72519240.\nAnswer: 2, 3, 5, 61, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -60 - 20*t + 2*t + 60. Let g(f) = 91*f. Let b(p) = 5*g(p) + 26*y(p). Let c(j) = 2*j**2. Give c(b(z)).\nAnswer: 338*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 16608*g + 16813570. Determine q(1083).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 10. Let i be m(-4). Suppose -i*r - 7 = -z - 79, z = -2*r + 72. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7635)\/315 + (-61)\/(-21) + -3. Let n = 25 + d. Find i such that n*i**2 + 4\/3*i + 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (4 + 7 + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**4\/3 + 2*c**3\/3 + 327*c**2\/2 - 44*c + 201. Let n(l) be the first derivative of j(l). Differentiate n(i) wrt i.\nAnswer: 8*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 946 and 9746?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14668329, -14668330, -14668331, -14668332, -14668333?\nAnswer: -14668334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**3*w**2 - 2576*p**3 - 26*p**2*w**2 + 10*p**2*w - p*w**2 wrt p?\nAnswer: -6*w**2 - 15456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207402 and 38532?\nAnswer: 102456588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14891*f**2*l**3 + 26*f**2 - f*l**3 - 58*f*l**2 - 4*f wrt l.\nAnswer: -89346*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 638001.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0163 (b) -2 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from lvjnw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 787379392 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 18*j - 21*j + 0*j - 20*j + 0*j - 3.\nAnswer: -31*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 41*a - 43*a + 27 = 0, -15 = 2*s - 5*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 50, 69?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7522310 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*r**2 - 58*r**2 + 31*r**2)*(5*r - 2*r - 2*r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v = 46*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ab94 (base 15) to base 12.\nAnswer: -6777a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l + 54 = 0. Suppose -2*k + l = k. What is the derivative of 13 - k - q**2 - 3*q**2 wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 29. Suppose 4*n + w = 16. What is the nearest to 3 in n, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11440 (base 5) to base 12\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*p + 585 = -123*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2059.\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 3)*(-4 + 2 + 1)*(1 + 0 - 3)*(3*q - q - q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 25. What is the remainder when f is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61718, -61687, -61608, -61457, -61210?\n\"Answer: 4*q**3 + 3*q - 61725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q. Suppose y + 5*v = -0*v + 1, y = 2*v + 1. Put q, y, 3 in descending order.\nAnswer: 3, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18649*n*s - 288*s + 60 with respect to n.\nAnswer: -18649*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:55 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71671.81s to nanoseconds.\nAnswer: 71671810000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.78.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 15, -2*r - 20 = 53*w - 49*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkax when four letters picked without replacement from kraxxqyy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101010011110010 (base 2) to base 14.\nAnswer: ab322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 1. Let b = 52394 + -52372. What is the least common multiple of (1 - (-14)\/q)*-3 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*m + 3096 = -3*m + 8554 + 7230 for m.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - k = -6, -18 = 3*n + 5*k - 10*k. What is the units digit of 4 + n + 0\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:43 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1367 + 4343 = 6*z. What is the highest common divisor of z and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -33. Solve -s*o = -4*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -16 (c) -1\/8 (d) -2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 1\/3 (c) 3029 (d) -237 (e) 0.4 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcr when three letters picked without replacement from ccr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -87*l**2 - 5*l + 11. Let w(t) = -88*t**2 - 3*t + 10. Let g(f) = -3*w(f) + 2*y(f). What are the prime factors of g(-2)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)\/r)**(2\/3))**(1\/20) assuming r is positive.\nAnswer: r**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/102610279 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11*3*(-1)\/3. Let q = d - -13. Let v = 1143 + -1138. Calculate the remainder when v is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52816714, -52816718, -52816722, -52816726, -52816730, -52816734?\nAnswer: -52816738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 0. Suppose -4 = 2*u, -5*k + 2*u + 561 = 4*u. Suppose x = 4*w + k - 589. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2 + (3 - 2 + 3)*(2 + 0 - 3) + 2 - 2 + 1)*(3 - 3 - 2*r**3) + 3*r**3 + 0*r**3 - 2*r**3 + (-2 + 0 + 0)*(7*r**3 - 2*r**3 - 2*r**3).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-231)\/(-45) - (-32)\/(-240)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 27*a**2 - 14*a - 13. What is w(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7927*k**3 + 9842*k**3 - 17738*k**3.\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (8 - (-7 + 11 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:09 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31532.\nAnswer: 2, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - l**5 - 4*l**5 + (7*l**4 - 2*l**4 - 2*l**4)*(-2*l + 3*l + l).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-18))\/((-6487)\/(-16467))\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-432))\/((-140)\/(-112))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 48*t + 4*t - 599 - 433 = 0, -3*u + 57 = -3*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 10371\/1478 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 671 - -249. What are the prime factors of p?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809*n**3 - 847*n + 419*n**3 + 847*n + 4 - 4 + 410*n**3.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 60 (b) -43 (c) 219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/5))**20\/(y**(-1\/6)\/y*(((y**4*y)\/y)\/y)\/y))**(6\/11) assuming y is positive.\nAnswer: y**(19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by -1662.\nAnswer: -25\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.005491?\nAnswer: -0.021964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837694.\nAnswer: 2, 11, 13, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 0 = -5*m. Let x(a) = -a**3 + 7*a**2 + 5*a + 9. Calculate the remainder when x(7) is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*v + 40882 + 123330, -4*d + 2*v + 328418 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 + 187575*i + 40468330 = 0 for i.\nAnswer: -37298, -217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10548122 is divided by 516?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u = -29*u - 32*u - 145330. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*x = -0*s + 31, -5078888*s = -5078893*s + 7*x - 155 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 31*f**2 + 30*f + 131. Is 84 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17366 - -17370. Calculate the highest common divisor of q and 1124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/((y\/(y**(-24)\/y))\/y)))\/y*y)\/((y\/y**(5\/4))\/y))\/((y*y**(-6\/7)*y)\/y)**(2\/3) assuming y is positive.\nAnswer: y**(2197\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 32. Let q(x) = 7*x. What is a(q(p))?\nAnswer: 147*p**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69570426, 69570425, 69570424, 69570423?\nAnswer: 69570422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -20*s - 10. Let w be x(-1). Which is the nearest to -1? (a) 0.3 (b) w (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/5)\/((-324)\/30 - -11). Solve 0 = 3*d - t*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -208*w + 3. Let t(l) = l - 1. Calculate a(f) + 2*t(f).\nAnswer: -206*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 50?\nAnswer: -29\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221940 is divided by 263?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942*q**2 - 953*q**2 + 2026*q**2.\nAnswer: 131*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-3*-5 + -4.\nAnswer: -4 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/16 - 0) + 0. Let v = -10.5 - -10.7. Which is the smallest value? (a) q (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -6781385*n**5 + 58508220*n**4 + 406680965*n**3 - 276298420*n**2 + 3374820*n - 10400 = 0.\nAnswer: -5, 2\/323, 8\/13, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {r: 1, i: 2, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -263713329*u + 199590743 wrt u.\nAnswer: -263713329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 + -8.13. Let d = k + 8.1. Let l = -0.3 - -0.1. Sort -1\/4, d, l in ascending order.\nAnswer: -1\/4, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -138. Let g = r + 103. What is the remainder when 2\/4*93*(-24)\/(-9) is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/540 + 19*u**5\/90 - 325*u**4\/36 + 4375*u**3\/27 - u**2 - 152*u - 9. Find b such that m(b) = 0.\nAnswer: 7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13 - 6 = -5*m, -2*m = 2*z - 4. Let c(a) = 398*a**2 - 9*a - 11. Let u(t) = 217*t**2 - 5*t - 6. Let k(i) = 6*c(i) - 11*u(i). Calculate k(m).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1856655*c**6 - 26294*c**2 - 14*c wrt c?\nAnswer: -222798600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 1\/2*n**2 - 1 + 4*n. Let l(y) = -6 - 5 - 5 + 24 - 3*y - 13 - 4. What is -4*l(f) - 9*q(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -64. What is the smallest value in -8, 0.3, j?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 27 = 13. Suppose 0 = -5*v + 3*k + l, 2*k - 6*k = v - 31. Solve r - 30 = v*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 8*a + 12. Let c = 24 + 4. Suppose c = -3*u - u. Let r be z(u). Solve -d = 4*l, 3*l + d - r = -d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 148555776*o**2. Let v(z) = -7*z**2. What is f(v(d))?\nAnswer: 7279233024*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 0, o - 3*q = -0*o + 6. Suppose -2*f = 2*z - 56, -o*f = 2*z - f - 59. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**3 - 2844. Let m(z) = 14*z - 38*z**2 - 3*z**2 - 14*z. Give m(v(l)).\nAnswer: -369*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - -5) + -5 + -19.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 347004215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*m - 285*m - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/19 + 14834*t**3\/19 + 74136*t**2\/19 + 118600*t\/19 + 59296\/19 = 0?\nAnswer: -7412, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(-5 + sqrt(39)\/sqrt(3) + (3*sqrt(1872))**2).\nAnswer: -67372 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -35d (base 14) to base 15\nAnswer: -2eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 101672.\nAnswer: -50836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2 - 15*g - 14. Let r(t) = -21*t**2 + 32*t + 26. Give -7*f(a) - 3*r(a).\nAnswer: 7*a**2 + 9*a + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143484137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1230 and 20895?\nAnswer: 1713390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14700089 - 14700089.6802029. Let t = h + 6.3802819. Let q = t + -5.7. What is q rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((61\/((-2562)\/378))\/((-15)\/(-4)))\/(52\/20)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 3*q**3 + 1 + q**2 + 3*q**2 in the form s*q**3 + z + g*q + f*q**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-4))\/(3\/(-8)). Solve -9*p + l*p = -27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 325 = 397. Which is greater: 16 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040209?\nAnswer: 683, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2120 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 - p - 3. Let a(v) = -v**2 + v. Let s(g) = 3*a(g) + h(g). What is the units digit of s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.028? (a) 1 (b) 2 (c) -1 (d) -43\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 16*j**2 + 8*j - 17. Suppose 4*a - 10 = -38. Let o be u(a). What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {w: 6, r: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -6*n + 444. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-13)*t**5\/t)**(-16\/11) assuming t is positive.\nAnswer: t**(-288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + l. Let q(r) = 7*r**3 + 2*r**2 - 5*r - 3. Let s be 1\/(1 - 2)*(2 - -1). Let b(t) = s*o(t) - q(t). Is b(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dusuudddusdddsdd. Give prob of picking 2 s.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48203137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o + o**2 + 1 - 1 - 4*o**2 + (4 - o - 4)*(o + 3*o - 6*o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f. Let j(v) = -4*v**2 - 1494187. What is z(j(m))?\nAnswer: 16*m**2 + 5976748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13053 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61262260 and 67818?\nAnswer: 183786780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3480634433.0000153 - -3480634216. Let t = 217 + j. Round t to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 85*l - 13691. Let i be k(162). Put i, 5, -37 in descending order.\nAnswer: i, 5, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 9:55 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -47. Does 20 divide 1*3600\/(20\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99.105 - -0.105. Let i = s - -98.999934. What is i rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -199, -404, -601, -790?\n\"Answer: 4*w**2 - 217*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 6*b**2 + 16*b - 11. Let v = -1023 + 1025. Let l be w(v). Suppose -2 = -4*t + 6. Calculate the highest common factor of l and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 + 42 + 50 - 139 + 2887*b to u*b + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 26, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/6)\/((-2)\/(-4)). Suppose 0 = -t - m + 4, -8 - 3 = -4*t - 3*m. Sort 3, t, q in descending order.\nAnswer: 3, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w + w, 0 = -5*u - w + 49207. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404 + 188*o**2 - 404 - 323*o**2.\nAnswer: -135*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - v**2 - 4)*(1 - 4 + 2)*(36*v**2 - 58*v**2 - 39*v**2) as a*v + f*v**3 + y*v**4 + r + m*v**2 and give y.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9536754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + -58. Let u be 396\/14 - (-2)\/(-7). Let x = t - u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 12*w**2 + 12*w - 8. Let g be s(11). Suppose g*k = -1 + 4. Let p(l) = 18*l - 1. What is the units digit of p(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 18*y**2 + 41*y + 235. What is the remainder when c(-16) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/47594 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 39840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10958.\nAnswer: 2, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277391 - -277393. Let p be ((-8)\/5)\/(1*-2). Suppose -15 = -3*r, -3*y - y - 22 = -2*r. What is the second smallest value in d, 6, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 208, 1330, 4284, 10000, 19408, 33438, 53020, 79084?\n\"Answer: 155*i**3 - 14*i**2 + 79*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -68, -155, -276, -431, -620?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000033454 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 = -4*h - 19, -o - 2*h + 5 = 0. Suppose o = -10*u + 11*u. What is the greatest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5223373 nanometers to kilometers.\nAnswer: 0.0000000000005223373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 320464600 to the nearest one hundred thousand.\nAnswer: 320500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 108*v - 1920. Calculate the lowest common multiple of 56 and x(22).\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 + 176*t**2 - 9*t + 330. Give d(44).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 40. Let i(u) = -9 - 5*u**2 + 3*u + 3*u**2 + 4*u**2 + 2*u**3 + 1. Let x(p) = p**3 + p**2 + 2*p - 5. Let g = -1 + -4. Give f*x(w) + g*i(w).\nAnswer: -2*w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4475*o + 6. Let b be y(1). Suppose b = -8*i + 23145. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/19 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*b + 566 = 0, -2*t + 240 = 3*b - 326. Let q = t - 118. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 500*b - 53*b + 14)*(-7 - 27 - 4 + (-3 + 2 + 3)*(-4 + 7 - 2)).\nAnswer: -16092*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - h = 42, x - 16 = h + 2*h. Let m(v) = -v**3 + 11*v**2 - 9*v - 9. Let w be m(x). Which is greater: w or -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-5)*m*m)**(-46)*(m**(-2))**(12\/13) assuming m is positive.\nAnswer: m**(-4808\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -791 - 796 + 330*q + 1586 to r + z*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 78\/13 + -1 + -1. Find j such that -j**t + 4*j**5 + 6*j**4 - 3*j**5 + 4*j**2 - 9*j**3 - j**5 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/108 and 6\/5.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 66 = 3*j, 0 = -j + 4*p - 0*p + 32. Suppose -21*q - 198 = -j*q. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -58, -27, 26, 107, 222?\n\"Answer: t**3 + 2*t**2 + 2*t - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1771*w + 69*w + 171*w.\nAnswer: 2011*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/5 + 5838*x**3\/5 - 29136*x**2\/5 + 8154*x - 17469\/5 = 0. Calculate x.\nAnswer: 1, 3, 1941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.5 - 600.5. Let z = -571.8 - i. Let x(w) = 7*w - 1. Let f be x(2). Which is the second biggest value? (a) f (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*y - 31*y**2 + 78*y**2 - 34*y**2 - 13*y**2 - 2*y**3.\nAnswer: -2*y**3 - 105*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000097263 rounded to 7 decimal places?\nAnswer: 0.0000973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-30) + (-53095)\/(-3075)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 21462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -914 or -1213?\nAnswer: -914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*o**5 - o**2 - 13*o**5 - 6*o**2 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382517 is divided by 737?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20529 - -570.\nAnswer: -19959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 989000*x**2 + 1993563*x.\nAnswer: 1978000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 less than or equal to 303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 383*p - 1065. Give l(3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -498?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiii. What is prob of picking 3 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57290?\nAnswer: 2, 5, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 68 = 2*g, 0*g - 4*x = -g - 34. Let r be 3 + -3 + (-4)\/g. Let b = 7 - 7. What is the second biggest value in 2\/7, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186770962 + -2287.131?\nAnswer: -186773249.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 14*a**2 - 12*a + 15. Let k be r(-13). Find the third derivative of -16*n**3 + 3*n + 2*n**k - 2*n**3 - 3*n wrt n.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (-5)\/((-15)\/(-6)). Suppose 4*u - 12 = 0, 8*k - 11*k = -2*u - 60. Solve -2 = d*j - k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-2))\/1)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10388 by -4.\nAnswer: -2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 364, 569?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 716458*u - 32240612. Calculate h(45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62782 - 777?\nAnswer: 62005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - c + c - 4751 + 4675 to w + g*c + j*c**2 and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 93?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133*-514.\nAnswer: 68362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + m + 53 = 7*j, -2*m - 26 = -2*j. What is the greatest common factor of j and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4018*y + 4004*y + y**2 - 8025*y to o + f*y + c*y**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**4 - 72*d**2 - 1392*d - 2 wrt d?\nAnswer: 84*d**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 29.1*-0.1\nAnswer: -2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13151028 + 6226628. What is c rounded to the nearest ten thousand?\nAnswer: -6920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 1. Let d be w(1). Let k(j) = -j**2 + 4*j. Let a be k(d). Suppose -a*v + 4*o + 26 = 0, -o + 4*o + 15 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 379*i**6\/30 - 2*i**5\/5 - 11*i**4\/6 + 267*i**2. Find the third derivative of h(c) wrt c.\nAnswer: 9096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752 = -15*q + 2222. What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11312333 (base 4) in base 2?\nAnswer: 101110110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6 - 1 - x - 3. Suppose 0 = -12*n + 24*n - 264. Suppose n*a + 135 = -19. Determine v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -16*y + 11*y. Suppose -k = -y - 11. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.313 and -31435.88354.\nAnswer: -31436.19654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033 - 1202022?\nAnswer: -1200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.7. Let m = -0.019 + 406.019. Let s = -406.1 + m. Which is the closest to s? (a) r (b) -2\/19 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 3*s)*(2748 - 2295 + 4798).\nAnswer: 10502*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*v**3 + 126826*v**2 + 5*v - 73445574?\nAnswer: 66*v**2 + 253652*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.39704 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/42 and -37\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 + 3*d**2 - d**2 + 4*d + 0*d**2 - 6*d. Let r(a) = -2*a**2 + a**2 - a - a**3 + 2*a**2. What is -c(w) + 2*r(w)?\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2)\/(0 - -1). Suppose l = -18*c + 14*c + 640. Suppose 156 = 4*m + 2*z - 0*z, -c = -4*m - 3*z. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ledesddessleeql. Give prob of sequence sd.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(6)*4)\/(sqrt(9) + sqrt(9) + sqrt(9)*-1*-3) + 3 + sqrt(63) + sqrt(63) + sqrt(63)*-4 + 4*-4*sqrt(63).\nAnswer: -266*sqrt(7)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 92 - 176 = -0*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 28 = -4*l, -101 = 2*c + 2*l - 115 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3168 + 3179. Solve 6*b - 3*q + 7 = b, -h = b - 3*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 5*m + 3*m + (-3 + 2 - 1)*(-4*m + m + m) + (-2 - 4 + 4)*(5*m + 0*m - 3*m) - 115*m + 288*m - 140*m + 0*m - 2*m + 0*m.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, a: 5}. What is prob of sequence amam?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/((-142)\/(-1278)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 130495, 130533, 130573, 130615?\n\"Answer: s**2 + 35*s + 130459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8127 and 5254686?\nAnswer: 36782802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + 6\/15. Let q(p) = p**3 + 10. What is the smallest common multiple of 2 and q(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.2, 281 in descending order.\nAnswer: 281, 1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s*s*s**(-1\/4)*s)\/s)\/s))**(2\/3) assuming s is positive.\nAnswer: s**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65949179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 18 - 3)*(-1 + 1 + r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, w: 11}. Give prob of picking 3 u and 1 w.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k + 23*k + 30*k - 64*k - 27 + 37*k. Let i(t) = -2 + 0 + 7*t - 4*t. Calculate -27*i(d) + 2*j(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19608 = 7*y - 135073. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12755*x + 5699 wrt x?\nAnswer: 12755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1.5. Suppose i + 9 = 4*s, -2*s + 3 = 3*i + 2. Let u = 105 + -527\/5. Which is the third biggest value? (a) g (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -644, -947, -1200, -1379, -1460, -1419, -1232?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 29. Let a be f(-14). Let t(o) = 0*o + o - 3 + a + 1. Determine t(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = -0*g + 3*g, -3*g + 4*r - 12 = 0. Suppose g = v + 2*v - 36. Let z = v + -7. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 4:32 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -238460568?\nAnswer: 1\/79486856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 + (-9 - -5 - -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -13*k**2 - 3*k - 2. Suppose -5*x = -3*u - 16, -44*u - 40 = -49*u - 5*x. Let s(n) = 12*n**2 + 2*n + 2. What is u*s(q) + 2*p(q)?\nAnswer: 10*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5717\/252 - 159\/7. Calculate the common denominator of c and -19\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.284 + -0.586. Let l = -0.13 + a. Let m = l - -3. Is -3\/5 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 16. Let u = 4.3 - v. Let x = 0.09 + 4.91. What is the third biggest value in 0.5, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*a + 316 + 343, a - 5 = 0. Calculate the remainder when y is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3, -1, 255.\nAnswer: -1, 1, 3, 4, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 30020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + t**2 - t + 1. Let w be 2\/(-4) + 2\/4. Let v = -8 - -8. Suppose 5*a + v*a = w. Give n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 - l + 1. Let s = 496 + -495. Let w(r) = -5*r**3 - 3*r**2 - 4*r + 5. Give s*w(b) - 4*h(b).\nAnswer: -b**3 - 7*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 9) to base 3\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -58*p**2 + 2*p. Let o be u(1). Let t = -47 - o. Calculate the smallest common multiple of t and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 - 13*z**2 + 15*z + 15. Let a(w) = -2*w**3 - 9*w**2 + 10*w + 10. Let o(t) = 7*a(t) - 5*d(t). Is o(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1419 and 21?\nAnswer: 9933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 11*n + 3. Let p be c(-10). Let z = 13 - p. Suppose z*v = 3*v - 114. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = z + 2 + 3, 2*z - 15 = -3*n. Suppose 4*i = 2*i + 20. What is the units digit of i + (z - (2 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -14. Let j = u - 21. Suppose j*g = 3*g - 390. Round g to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6029 or -3\/64?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/19, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202001 (base 3) in base 6?\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -74 + 18 + 2*q**2 - 37 + 12 + 5*q. Let b be p(6). Let c be (-1)\/((-1)\/6) - -2. Solve 5 = g + 2*i - c, b = 2*g + 3*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**3 - 2*m**2 - 2*m + 2. Suppose -62 = -4*c + 4*h - h, c = -3*h + 8. Let j be (-9)\/(-7) - 4\/c. Let z(b) = -b**2 - b + 1. What is j*l(p) - 2*z(p)?\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222110 (base 4) to base 9.\nAnswer: 3638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 3. Let f(g) = 0*g + 5*g - 10 - g. Suppose 4 = b, -2*z + 3*b - 45 = -19. Determine z*s(k) - 2*f(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -517\/7*k**2 - 1028\/7 + 1544\/7*k + 1\/7*k**3.\nAnswer: (k - 514)*(k - 2)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 489371, 978740, 1468109?\n\"Answer: 489369*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**5 + 240*q**4 + 1300*q**3 + 1350*q**2 - 1295*q - 1590 = 0.\nAnswer: -3, -2, -1, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*u + 14, 5*s + 2*u = 2 + 22. Let z be 3\/18 + 29\/6. Solve z = -s*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -24*d**3 - d**2 + 12*d**3 - 6 + 13*d**3 - d. Let l be k(0). Let x be 7\/42 - (-25)\/l. Which is the nearest to x? (a) -3 (b) -3\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:18 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h**2. Let m(b) = 201*b + 3. Determine m(g(x)).\nAnswer: 1608*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a1 - 2ba?\nAnswer: -48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241932 is divided by 3357.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65 and 1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34813620 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-290)\/104 - 1\/(-4). Let p = -53751\/13 + 4132. Let f = n - p. Which is the second biggest value? (a) -1\/7 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*l - 34, 5*l - l - g - 22 = 0. Suppose l*h - 92 = -2. Is h > 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -4 (b) 0.3 (c) 0.01 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5100, 5107, 5114, 5121, 5128?\nAnswer: 5135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 502 divided by -236719\nAnswer: -502\/236719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 860 + -673. Calculate the greatest common factor of 5984 and m.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 3451365.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 36862\nAnswer: -73724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89701653, 179403304, 269104955, 358806606, 448508257, 538209908?\n\"Answer: 89701651*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/10 - k**4\/24 - 3*k**2. Let x be n(1). Solve x*q + s = 22, -q - 4 = s + 2*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -b?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 523768 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: Which is the closest to 2? (a) -15.9 (b) -3\/17 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 8. Let r = -0.5 - 0.32. Let s = 2.82 + r. What is the third smallest value in 1\/5, s, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 162 = -0*d. Suppose -c + 21 = 3*m, -3*m - 6*c = -3*c - d. Solve -2*u - 2*n - 2 = -m*u, 3*u = -4*n - 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26458 - 26427.853. Let r = -0.253 - f. Round r to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8673*n + 2042*n + 4571*n)*(2*n - 2*n - n**2).\nAnswer: -15286*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2 + 2*k + 1. Let i = 41 - 22. Let o = -13 + i. Let t(v) = v**2 - 5*v - 7. Let u be t(o). Determine h(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.1. Is i >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzf when three letters picked without replacement from uufuuziwwuzw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n**3 - 4*n**2 - 4*n - 1. Let y be x(-3). Suppose -t + 2*k = -76, -4*t + 3*k = -0*k - y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t = 148 + 62 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x. Let z(c) be the first derivative of -c**6\/120 + 5*c**3\/3 - 3. Let b(h) be the third derivative of z(h). What is y(b(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -234 - (4\/(-4) + -1). Let f = h + 234. Suppose -z - z + 2*b = -16, z + 1 = -2*b. Solve 0 = -z*w, -2*n - f = w - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/((-5940)\/7209) - 999\/(-37) - (-3)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59063356 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 586400729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 99106?\nAnswer: 2\/49553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1233 + -1230. Solve 15*d - w*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.15682 + -21.\nAnswer: 16.15682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19547395 + 19547481.99943. Let n = 87 - g. Round n to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17 - 223*p**3 + 301*p**3 + 8*p + 229*p**3 wrt p?\nAnswer: 1842*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 49 = 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/3 + -29\/6. Let m = 23 - -6. Let s = m - 34. What is the closest to v in s, -0.05, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -8 + -2 - (-17 - -1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - m**3 + 2*m**2 + (-1 + 2*m + 1)*(0*m**2 + m**2 + 0*m**2))*(-289*m**2 + 776*m**2 + 391*m**2).\nAnswer: 878*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1368, 2848, 4326, 5802?\nAnswer: 7276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5*(-480)\/(-6). Let f = k + -4. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293844829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9*((-16492)\/341 - -48). Let w = -0.5 - 4.5. What is the fourth biggest value in d, w, 0, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -589 + 3*k**3 + 1182 - 3*k - 595 + 2*k**2 to i*k + g + y*k**3 + u*k**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-12) + -27 + 2704\/96\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1960, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3030 * -12.91\nAnswer: -39117.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 - 1100?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 5:05 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/((-144)\/(-4)))\/(4\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/13355 and -37\/26710.\nAnswer: 26710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(-2\/9))*k)**(3\/19))**(-18) assuming k is positive.\nAnswer: k**(-120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r - 3*m - 83 = 33*r, 4*m = -3*r + 150. Solve r*p - q = 50*p + 8, 0 = -3*p - q - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2098*q**3 + 21*q**2 - 20*q - 2. What are the prime factors of x(1)?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490547993 to the power of 1\/3, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1119\/148 - 252\/37. What is the closest to 7 in 1\/6, o, 0.5, -1.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4169871 is divided by 1693.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 21*b**2 - 14*b + 287. Let f be i(21). Sort -74, f, -2.\nAnswer: -74, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = h, 0 = -y - 0*y - h - 4. Solve y = -0*x + x + 3*v + 16, 4*x = -3*v - 19 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8833 is divided by 150.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/(-135)*(1 - 13\/3) and 68\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 1492*m**3 - 69112*m**2 - 252320*m.\nAnswer: 4*m*(m - 415)*(m + 4)*(m + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15249)\/(-2346)*(-4)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10016*g**2 + 5*g - 24. What is the hundreds digit of j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -9) + 5 + (-6 - -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -511264.9 + 87.\nAnswer: -511177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/33 (b) 3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96368 and 111568?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**2*t**3 - 68*n**2*t - 3*t**4 + 395*t**2 + 17*t wrt t.\nAnswer: -12*n**2*t - 36*t**2 + 790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -4 (c) 1355 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c (base 13) in base 5?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - 16*y + 2. Suppose -3*h = -h - 6. Let f be l(h). Solve p + 5*w = -f + 22, -5*p + w - 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 153 (base 6) to base 2\nAnswer: 1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 118?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 divided by -8?\nAnswer: -581\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 143 = -5*f + 3*f, 5*f - 332 = 4*g. Calculate the highest common factor of f and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 4. Let y(w) = -4*w + 8. Let n(v) = 3*v - 7. Let a(l) = -5*n(l) - 4*y(l). Calculate -3*a(f) + 2*b(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - l**2 - l**2 + (-4*l + 2*l + l)*(2 + 2*l - 3 + 0*l).\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 11:36 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.43 to one decimal place.\nAnswer: 73.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -139. Suppose -5*s - 4*u = -118, 2*u - 115 = -5*s - t*u. 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: Calculate (6 - (3 - -6) - 3) + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 7*h - 5)*(5 + 2 - 4) to the form z + u*h and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21607843 is divided by 10202.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756 divided by 2?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 4 + 4)*(1 - 21*i - 7*i + 5*i) to r*i**2 + y*i + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 + (-105)\/15 - 12. Let y = 1.7 + -1.57. Let j = -0.27 - y. What is the second smallest value in 0.4, j, p, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19401 is divided by 187.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -13*i**6\/720 - i**5\/40 + 7*i**4\/12 + i**2. Let g(p) be the second derivative of o(p). Differentiate g(u) wrt u.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/5)\/(c\/c**4))\/(c*c\/c**(-6)*c*c**3))\/((c*(c\/c**1)\/c)**(-1\/4)\/(c**(-2\/3)\/((c\/(c*c**(-1\/4)*c))\/c))) assuming c is positive.\nAnswer: c**(-439\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*72\/(-1764))\/(8\/(-126)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.4 in 0.8, 0, -2\/11?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-160)\/(-6) - 3\/(-9). Let k = 380 - 245. What is the greatest common factor of o and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(((-1050)\/(-154) - 7) + 26\/22). What is the third biggest value in -24, s, -2\/13?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 13*p + 357. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -25. Solve 9*w - 4*w = -3*q - 10, -5*w + k = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 26*g - 16. Let x be h(23). Are 211\/4 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 454585 = 676*m - 680*m, 0 = 2*n + 5*m - 181851. Round n to the nearest one thousand.\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.79641um in meters?\nAnswer: 0.00001879641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/6 + 22*y\/3 - 160 = 0. Calculate y.\nAnswer: -60, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 167*p**2 - 2182*p - 557068. What is g(-173)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39*(-2)\/6*42\/91?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1685 - 1685.000679. Round s to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 295 = 5*w, -5*d - 497 = 40*w - 43*w. Which is the closest to d? (a) 1\/8 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/3 - 2210115*d + 26521460\/3.\nAnswer: -5*(d - 4)*(d + 1326073)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((-1)\/(25\/(-10))). Suppose -n*b = -6*b - 12. Suppose -3030 = -b*t - 3. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*w - 8, t - 2*t = -3*w - 9. Suppose -2*z = 2*z - 16. Let k(n) = z*n - 4 + 4 - 2*n. Let l(f) = 4*f. Give t*l(b) - 5*k(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 119. Determine u(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -526.36456 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 + 5*c + 5. Let y(a) be the third derivative of a**4\/24 - 5*a**3\/3 - 8*a**2. Let l be y(5). Let f be r(l). Solve f*j = j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 96*q**3 + 660*q**2 - 968*q.\nAnswer: 4*q*(q - 11)**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(-6 + 6\/(168\/(-119)))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3 + 55\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112 + 124. Suppose 0 = -72*v + 69*v + f. Solve -4*s + 5 = -g, 0*s - v = -4*s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 3*p**2 + 9*p**2 + 39*p**3)*(2*p**2 - 2 + 2).\nAnswer: 78*p**5 + 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + (-9 - 25 - (51 + -119)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 - 99*d - 25. Let i be y(-15). Is i less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8407513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*r - 1\/4*r**3 + 3\/4*r**2.\nAnswer: -r*(r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - 3*sqrt(165))\/sqrt(3))\/(sqrt(11) - ((sqrt(22)*1)\/sqrt(2) - sqrt(11)))*-1.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5\/13 + 124*l**4\/13 + 20120*l**3\/13 + 117008*l**2\/13 + 154560*l\/13 = 0?\nAnswer: -70, -4, -2, 0, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1392842324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 8. Let w(n) = -n - 6. Let x(u) = -3*u - 13. Let k(z) = 7*w(z) - 3*x(z). Let b(h) = 8*k(h) - 3*m(h). Let q(t) = 2*t**2. Determine q(b(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5\/9 + 16*g**4 + 1238*g**3\/3 + 39908*g**2\/9 + 51304*g\/3 + 21296 = 0.\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5.5. Suppose -9*d + 10*d - 5 = 0. What is the nearest to 2\/3 in -0.4, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*c - 11 = 280, 3*q - 264 = -5*c. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/36 - (-66)\/18. Solve -v*d - 8*d = 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21801 or 65407\/3?\nAnswer: 21801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6851 + 374.804728\nAnswer: 7225.804728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*f + 668 = 0, 5*j + 5*f - 1027 = -347. Suppose -17*d + 19*d - j = 0. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -334523 and 29.\nAnswer: -9701167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1208)\/12)\/(-2) - 3\/9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -15. What is the remainder when 97 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 36462348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 + 2*v - 1. Let c be t(1). Suppose c*a - 2 = -14. Calculate the remainder when 16 is divided by (-3 + 11)*a\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19800084 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 330704144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 202800\/(-10140) + ((-4068)\/(-214) - -1).\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2693*b + 3515 + 1205 = 2398*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**8\/672 + 13*j**7\/336 - j**6\/12 - 2*j**3\/3 + 41*j**2\/2 - 81. Let t(s) be the third derivative of f(s). Factor t(u).\nAnswer: -5*u**2*(u - 12)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2011948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3587 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 + 0*u + 2135*u**3 - 4259*u**3 + 9 - 2*u - 12*u**2 + 2126*u**3 in the form y*u + s*u**2 + m*u**3 + w*u**4 + i and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 at most 1373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/1414 and 11\/56.\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -126*r + 23. Let v be i(2). Let p = -148 - v. Calculate the remainder when p is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-184900)\/(-301))\/(-43))\/(((-4)\/(-35))\/((-2)\/15))\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 + 5*a + 2. What is the remainder when 5 is divided by z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 0*l**6 + 0*l + 1 + 0*l**2 + 0*l**4 + 0*l**5 + 6\/7*l**7 + 5\/3*l**3. What is the third derivative of v(o) wrt o?\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r - 1. Let k(b) = 30*b - 5. Let d(c) = -k(c) + 4*y(c). Let h(v) be the first derivative of v**3\/3 + v**2 - 5*v - 2. Let f be h(-4). Calculate d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**2\/2 + 9*r - 1. Let t be i(-7). Let c(y) = t*y - 4*y + 4*y. Let l(o) = 5*o. Give l(c(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1188 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 187*h + 3440. Calculate m(-59).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*j - 7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * -5909.97.\nAnswer: -265948.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h = -1690 + 7072. Suppose 133 = 8*q + h. Factor -4 - 18\/5*a + 2\/5*a**q.\nAnswer: 2*(a - 10)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*j*z + 117902*f**2*j + 2*f**2*z - 128176*f with respect to j.\nAnswer: 2*f**2*z + 117902*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958912.8 kilograms to milligrams.\nAnswer: 958912800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664 smaller than 2662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*c + 4 - 2 + 7*c to the form n*c + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26114 divided by 6\nAnswer: -13057\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2263 in -5, -0.4, 0.3, -1\/871?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6380 + -1818. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3205 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52, -51, -48, -43, -36, -27, -16?\n\"Answer: m**2 - 2*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -32, -72, -128, -200, -288, -392?\n\"Answer: -8*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 4*u + 1. Let m(k) = -4*k**2 + 4*k - 2. Let r(y) = 2*m(y) + 3*s(y). Is r(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165300726 and 62958?\nAnswer: 8994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 4*b - 4. Let c(j) = j - 1. Suppose -4*s + 2 = 2*v, -3*v + 4*v = -4*s + 1. Let l(k) = 11*k - 37. Let m be l(3). Determine m*c(d) + v*p(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 659, 973, 1285?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -67.3227 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}