diff --git "a/data/dm_maths/full_data_1/11070_11255.jsonl" "b/data/dm_maths/full_data_1/11070_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11070_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 24590.933327 take away 0.4?\nAnswer: 24590.533327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:46 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399073, -798149, -1197225, -1596301, -1995377, -2394453?\nAnswer: -2793529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znnzyyynnyzzzyyy. Give prob of sequence nyyz.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 6*f**2 - 3*f - 1. Let r(n) = -2*n**2 + 228*n - 5521. What is the remainder when o(5) is divided by r(79)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 912 + -429. Solve -o*x = -500*x + 136 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -58. Let z = 328 + -329. Which is the closest to 4\/7? (a) n (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 + -0.5?\nAnswer: 1010.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*o**4 + n*o**3 - 34*n*o + 6*o**4 - 2*o**3 + o**2 wrt o?\nAnswer: 24*n*o + 6*n + 144*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 211 = 66 + 121 + 129 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 62 - -23844212579280\nAnswer: 23844212579342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p = -51*p + 24516. Is 11 a factor of p*(-5 - (-16)\/3) - 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 15 - 610\/40 - (-4837)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-165)\/(-22)*(-12)\/(-10) - -1. List the prime factors of -15*4\/(-18)*2148\/v.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 5*v, -3*h - 4*v = 0. Put -10, -3, h in decreasing order.\nAnswer: h, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8*m - 384. Let g = -50 - m. What is the second derivative of 4 - 4 - 3*q**2 + 27*q**2 - g*q wrt q?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -188*2\/(-4) + -3. Let m(y) = 5*y + 10. Let r be m(6). Let p = k - r. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/599 + 1220\/6589. What is the third biggest value in l, -4\/5, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 110000?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1\/5, -1\/53, 4, 1\/6 in ascending order.\nAnswer: -1\/5, -1\/53, 1\/6, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20317264 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 61\/720?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22844.49 milliseconds?\nAnswer: 22.84449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3372 and 212436?\nAnswer: 212436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 812\/87*72\/(-42)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16368063 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllllwllllkellw. Give prob of sequence lk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.55839 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 30*u**2 + 71*u + 970. Give f(-26).\nAnswer: 1828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(245))*-3*-5*3.\nAnswer: -135 + 315*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13975 and 1118.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*1\/3 - -2. Let h(j) = -3*j**3 + 5*j**2 - j - 4. Let m(s) = -s + 1. Let y(p) = h(p) + 4*m(p). Let i(l) = -l**2 + l. Determine n*i(f) + y(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -47968\nAnswer: 5\/47968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000149786 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44393.\nAnswer: 103, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - -16. Let y = -38 + a. What is the nearest to -2\/5 in y, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422\/6 - (110\/(-33))\/5 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -37, 39, -3, 0, -5 in decreasing order.\nAnswer: 39, 0, -1, -3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + 2 + 1 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46108.6 millennia?\nAnswer: 46108600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 13*h**2 - h - 9. Let v be b(-13). Let u(r) = -4*r**2 + 3*r + 2*r + r**3 - 2*r - 2. What is u(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:41 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 - 1 = 0. Let w be (-1 - (1 - z))\/(-1). Suppose 0 = 5*x - 10, w = -4*s - 4*x + 104 - 20. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-1)*((-64)\/(-20) - 2). Suppose 0*w = 9*w - x. Suppose -10 = 3*n - 0*k + 2*k, -4*k = -4*n + 20. Solve z + 0 + w = n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 91272 + 87341 + 52161. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*sqrt(160)\/(sqrt(64)\/sqrt(8)))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a microsecond in nanoseconds?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, w: 1, h: 5, i: 1}. Give prob of picking 2 h and 1 u.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119 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: Calculate prob of sequence ild when three letters picked without replacement from {i: 4, d: 8, l: 2, j: 1}.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8329 and 13080?\nAnswer: 108943320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -12. Suppose 0 = -u*z + 3212 + 2844. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 313222101113?\nAnswer: 313222101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122001100 + -102?\nAnswer: 122000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -16*q**3 + 149*q**2 + 17. What is n(5)?\nAnswer: 1742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 3*o + 5*o + (-4*o + 2*o + 4*o)*(-2 - 1 + 5).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 + 346882656*h + 30081894258403584 = 0.\nAnswer: -173441328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + -0.07. Let j = l - 2.94. Let o = -0.043 + -0.457. Which is the closest to -2? (a) j (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 6*s**2 - 2*s - 5. Let m be a(4). Let d = m - -65. What is the least common multiple of d and 176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223 - -222.96. Which is the closest to -1? (a) 0.2 (b) -5 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004 to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5))**(-29)*q**(2\/3)*q**(-2\/5) assuming q is positive.\nAnswer: q**(-83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*-2)\/sqrt(6) + sqrt(7) + 2.\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1391502*b**5*d - 29*b**3*d**3 + 564*b**2*d**3 - 1269*b**2*d**2 - 7*b*d - 2*d**3 wrt b?\nAnswer: -83490120*b**2*d - 174*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*y + 41628 = 126*y - 3*w, -5*y - 3*w = -41592. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 8:36 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 9*o - 4. Let q be f(-10). Let u(d) = -17*d + 18. Let g be u(q). Let p be (-10)\/65 + g\/(-208). Which is smaller: -2\/9 or p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q - 25*q = 2023. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4*(-101)\/(-606)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -441 + 542. Let d be -2 + 158\/(-2) + 1. Let u = d + o. What is the greatest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217 - -305. Suppose -5*r = -4*j - 24, 5*j = -3*r + 26 + 18. What is the greatest common divisor of k and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 289 = 285 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipiirrpri. What is prob of picking 1 p, 2 i, and 1 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 2. Let j = 64 + -59. Let k(f) = 2*f - 1 - 7*f + 4. Determine j*k(n) - 8*v(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155.11299836226 + -155.113. Round g to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/96795 and -19\/36?\nAnswer: 387180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.5 and 15.\nAnswer: 157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = r - 4, -4*r + 4*q - 7*q = -5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l + 288. Let p(v) = -422*v**2. Give i(p(g)).\nAnswer: -3376*g**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382 is divided by 1060.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62790156269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*p + 24 = y, -4*p = -y - 14. Suppose -6*c + o + 84 = -5*c, -168 = -y*c + 3*o. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 980, 9034, 30880, 73412, 143524, 248110?\n\"Answer: 1149*h**3 + 2*h**2 + 5*h - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28346000 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000581434872 to 7 decimal places.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -3 (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tajdrddvrdvjdadvjv. What is prob of picking 1 r and 2 j?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57792 is divided by 11537?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/((-10)\/(-5)))\/(-1). Suppose -3*t = -k*q - 3, -t = -5*q - 4*t - 13. Sort -5, q, 3.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 0)**2 - sqrt(125) - sqrt(5)) + 6*-1*sqrt(5).\nAnswer: -12*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.012135 + -2013709.\nAnswer: -2013709.012135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:47 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -71 (b) -3\/2 (c) 4 (d) 6 (e) 1 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.355.\nAnswer: 0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*3\/(-9) - (-75 - -72). Put -43, -1, b in descending order.\nAnswer: b, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, i: 2, u: 2}. What is prob of sequence iiw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*g**3*r + 2*g**2*r - 33*g**2 wrt g.\nAnswer: 576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-18 - -12)) + (11 - 20) + 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 7775, -112 in descending order.\nAnswer: 7775, 7, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*x + 8, 6*x = 9*x + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14239845 times -12\nAnswer: 170878140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -37. What is the units digit of 282 - (b\/(-5) - (-224)\/(-70))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14250 and 1006500.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**3 + 26*n**2 + 5*n - 29. Let w(t) = 6*t**3 + 25*t**2 + 4*t - 30. Let x(y) = 4*m(y) - 5*w(y). What is the derivative of x(k) wrt k?\nAnswer: -6*k**2 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1755683?\nAnswer: 101, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -987.88436 and -10.\nAnswer: 9878.8436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-3 + 2)) + 104\/(-1). Let a = l - -244. Suppose p + 2*w - 19 = 23, 3*p = -2*w + a. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssebbssqssfzsbssf. What is prob of picking 1 z and 1 q?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 - (-35)\/20. Let p be 1\/c + 23\/(-2). Let k = -6 - p. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 108. Let n(p) = -p - 7. Calculate the remainder when n(-12) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/4 - 1117*q\/4 = 0 for q.\nAnswer: 0, 1117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*u + t, 4*u = -0*u - 5*t - 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 52, 116, 196, 286?\n\"Answer: -j**3 + 17*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -6 - 8 - (-58 - -38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -4*b - 2*s, 2*s - 3*s = 4. Suppose 3*h = -33 + b. Suppose -h*i = -33 - 12. What is the least common multiple of 33 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5023881 or -5023880?\nAnswer: -5023880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -17\/60*k**5 + 0*k + 5\/2*k**3 + 0 - 1\/6*k**4 + 4*k**2. Let q(y) = 8*y**2 + 2*y - 7. Give -13*q(l) - 6*u(l).\nAnswer: -2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Suppose -20 = -5*l - 4*g, 0 = -l + 3*g - 17 + h. Suppose l*k = k + 3, 2*f + k = 13. Calculate the lowest common multiple of f and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -424*w**2 + 397*w?\nAnswer: -848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 14*f + 44. Determine t(-9).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 2*c - 2*c)*(-3*c + 4 + 6*c - 4*c).\nAnswer: -c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4263 + 903. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - z + 52. Let r be y(0). Let j = 5 - r. Let v = j + 103. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 - a**2)*(-1 + 0 + 2) - a**2 - 2*a**2 - 3*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o**5 + 0*o**4 - 5\/6*o**6 + 0*o**3 - 3 - 3\/2*o**2 + 0*o. What is the second derivative of m(v) wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 23, 55, 111, 197, 319?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5520000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9 (b) -0.3 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14214 divided by 2720\nAnswer: 7107\/1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 17. Let n(g) = -17*g - 18. Let u(m) = 49*m + 51. Let l(h) = -17*n(h) - 6*u(h). What is l(s(y))?\nAnswer: -20*y - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykkykkykkk. What is prob of sequence yyy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4606582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1715, -2, -7, 48, 2, -22 in increasing order.\nAnswer: -1715, -22, -7, -2, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 3*z, 11*z = 7*z + a + 2. Solve 3 = y + z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-9) - 116\/(-6)*(-121)\/1210. Factor 2\/15*l**2 + u*l - 8\/15.\nAnswer: 2*(l - 1)*(l + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*-2)\/((sqrt(30) + sqrt(30)*2)\/sqrt(5) - sqrt(6)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h. Let a be n(-2). Let f = a - -13. Let t be (3 + -1)*(15\/(-2))\/(-3). Solve 2 = -t*b - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 50\/7 of a week?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 420*v + 11890. What is a(-30)?\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -844 - 0.137.\nAnswer: -844.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001131217 rounded to 6 decimal places?\nAnswer: 0.001131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(11)*-2 + sqrt(11) + 0 + -1.\nAnswer: -1 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j**2 - 2*j + 2. Let k be s(5). What is the highest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006389538 rounded to seven dps?\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2060328 (base 9) to base 3.\nAnswer: 2002000100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - ((-3)\/(-2))\/(21\/56). Solve -y + s = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + 2 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 847187895 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:47 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4355 and 8656400.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13002 and 3234.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + -4 - -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5349, 22146, 50391, 90084?\nAnswer: 141225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4532\/227981?\nAnswer: 4532\/227981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497723352 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 9*w + 7*w. Let z be 525\/4 - 9\/(-12). Let k(r) = -z*r + 270*r - 137*r. Determine d(k(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16743926431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 25 = -l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/8 + 3253959\/1080 + 12\/60. What is s rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/366 + -767\/2562. Which is the third biggest value? (a) 0.3 (b) 2\/7 (c) -7\/3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0558 * 0.3\nAnswer: 0.01674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229 - 224. Suppose 2*f - 11 = j*n, 4*n - 13 + 11 = -2*f. Solve 0 = -l - f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 4*p - 3. Calculate i(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -53*w - 573. Let q be v(-11). Solve 2*i = -q*i - 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167571857 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4176 - -7898. Let w = b + -2029. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 9 - 17)*(5*p - 3*p - p) as u*p + h and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 - 11485873790398.\nAnswer: -11485873790396.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j - 2*j + 4 - 2*j. Let p(n) = -15*n + 67. Let s be p(5). Does 9 divide m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13455 - -13459. Suppose 0 = o - 5, 5 = -3*u + 2*o + 13. Solve 5*d = -s*w + u, 0*d + 18 = -d + 4*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*z + 408078 = 312*z. Calculate the remainder when z is divided by 208.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 21750*c**2 + c - 4. Let z be p(4). What is z rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7.03. Let q = 0.27 + w. Let n = -79\/4 + 20. Sort q, n, -1 in decreasing order.\nAnswer: q, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31235 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -3 (c) 84\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*q**4 + 3*p*q**2 + 4*p*q + 5*p - 21*q**3 + 3 wrt q.\nAnswer: -24*p*q**2 + 6*p - 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/87 + 727\/2436. Calculate the common denominator of s and (-1124)\/(-240) - ((-9)\/((-297)\/(-253)) + 9).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7*m - 7 - 20.\nAnswer: 7*m - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 times -0.25\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 7*f**2 - f + 6. Let q be x(7). Let u(p) = p. Let y(b) = 5*b**2 + 25*b. Give q*y(h) + 25*u(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4631 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, p: 5}. Give prob of picking 2 p.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/61452 and -29\/9104.\nAnswer: 245808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 2*i + 2 - 29*i**2 + 87*i**2. Let j(k) = -k - 6. Let o(t) = -t - 4. Let y(f) = 2*j(f) - 3*o(f). What is g(y(p))?\nAnswer: 58*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1596\/1330)\/((56\/(-10))\/2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose 2*h + 2*y + 0 = l, 2*h = -3*y + 1. Suppose -s = -t + 6, -t - 15 = -2*t - h*s. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -139*m - 5. Let w(v) = 444*v + 16. Let o(k) = -16*l(k) - 5*w(k). Let j(s) = -560*s**2 - s. What is o(j(q))?\nAnswer: -2240*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a49a9 (base 11) to base 15.\nAnswer: 6307d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 157.8 or -1\/6?\nAnswer: 157.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s**2 - 1 + 1)*(-1 - 9*s - 12*s + 25*s) to m*s**2 + p*s**3 + y + f*s and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6472547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 254610 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**0\/g))**(-20\/11)\/(g**(-9)\/((g*g**(5\/7))\/g)) assuming g is positive.\nAnswer: g**(468\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 585*f**3 + 608*f**3 + 84 - 27.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 9*c - 4. Let g be i(-9). Let b(n) = -n**2 - 5*n + 4. Does 3 divide b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2 + sqrt(1872))*5 - ((sqrt(1872) + (sqrt(1872) - 1*sqrt(1872)) + 2 - sqrt(1872)) + 3*sqrt(1872)*-2)) + 0 + 1)**2 + -4.\nAnswer: 14616*sqrt(13) + 826389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1539414 and 2682?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 20665*p**3 - 2*p - 20689*p**3.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/8 - g**3\/6 + 2*g**2 + 30*g. Give d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from ldlxuludhrrrrxx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from drrrrrddrr.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4288 - -9000. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 126\/49 + 6\/14. Calculate the common denominator of 35\/6*(t - 2) and -25\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20438339 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) -9\/8 (c) -5 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 41 = -5*k, 2*i - k - 52 = 3*k. Calculate the remainder when (4\/8)\/(1438\/(-180) + 8) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - 166*v + 3*v**3 + 4*v**3.\nAnswer: 2*v**3 - 166*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5230 is divided by 5159.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b. Let n(l) = 7*l**2 - 17*l - 19*l**2 - 30*l + 10*l**2. Calculate d(n(z)).\nAnswer: 4*z**2 + 94*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 317*y + 1946. Determine i(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 73, 130?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67361058*o - 39807836.\nAnswer: -67361058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 + 463.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 18*c - 22. Give f(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4 - 34*w**3 - 644*w**2 + 736*w + 1344 = 0. What is w?\nAnswer: -12, -1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1387 and 32\/112639?\nAnswer: 2140141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/9985 and 73\/650.\nAnswer: 1298050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230 or -10327\/45?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ffffleqsslsellls?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.99999987 + -26. Round o to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 6:30 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 6 + 9*l**2 + 0*l**2.\nAnswer: 9*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.24 and -1.37?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 - 9*n**2 - 76*n**2 + 109*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0 + 100. Let f = 56 + j. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 92, 141, 192, 245, 300, 357?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 312*c**2\/5 - 16224*c\/5 + 281216\/5.\nAnswer: -2*(c - 52)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-325) + (232\/10)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 210*v + 35085. Calculate r(-167).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.88 times 5\nAnswer: 19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2660765 greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 242803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ssrssssssssr?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 19 - 15 - (8 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/5 + 2*b**3\/3 + 4*b. Let d(v) = 7*v**3 - 7*v. Calculate -3*d(z) - 5*i(z).\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1216)*1)**2 + 5.\nAnswer: -80*sqrt(19) + 1246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(475)*1)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65\/96 + 55\/96. What is the third smallest value in y, 4\/3, 5\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + 112970\/105 - 6\/(-63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-1 + 2 + 1). Suppose 0*q = 3*q + 27. Let w be u\/(q\/12)*3. Solve 0 = -y, h = 2*h - w*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 44*q**2 - 43*q + 14. What is l(43)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-3))\/((u*u**(-1))\/u))**(-15)\/(((u**(-2\/3)*u)\/u*(u**(-1\/7)*u)\/u)\/(u**(-1)\/u**6)) assuming u is positive.\nAnswer: u**(-2020\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -21?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1001010011001?\nAnswer: 1001010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.01 + 0.01. Let z = 762 + -762.1. Which is the closest to z? (a) 2\/7 (b) q (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 0, -25, -70, -141, -244, -385?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3 - 2 + 0*d + 2*d + 7*d**2. Let x be b(2). Calculate the greatest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 754420*f + 754424.\nAnswer: -4*(f - 1)*(f + 188606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 212 - 734. Let r(l) = -2*l**2 + 61*l - 199. What is the remainder when v is divided by r(26)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4896 and 53550?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2. Let j(p) = -25*p + 8. Give j(m(r)).\nAnswer: 150*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1871039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8862.\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = -0*z. Find the third derivative of 8*a**z - 414 - 9*a**6 + 414 wrt a.\nAnswer: -1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2502813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 9, 2, 1, -12, 1641 in ascending order.\nAnswer: -12, -2, 1, 2, 9, 19, 1641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*a + 181*a + 96432 = 0. Is a a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19323.\nAnswer: 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219 + 239. Suppose 18*r = c*r + 6. Put -23, -4, r in increasing order.\nAnswer: -23, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -197*x + 2427. Let c be y(27). Is c equal to -2891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529536*r**3 + 264770*r**3 + 264800*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 37*y + 11. Let g be w(8). Suppose -4*a + g = 35. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/330*214425\/(-228720)?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 8*l - 22*l. Suppose 5*z = d + 20, l*d = 5*z - 3 - 12. Factor 15\/4*f**3 + 0*f + 0 + 21\/4*f**4 + 3\/4*f**2 + 9\/4*f**z.\nAnswer: 3*f**2*(f + 1)**2*(3*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -2 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 43 = 12. Suppose -14*a - 45 = -v*a. Let l be (18\/a)\/(2\/(-5)). Solve 4*g + 5 = l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-57)\/((-1026)\/(-36)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11956137?\nAnswer: 3, 103, 38693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -262 - -269. Solve q + 4*t - c = 0, 2*t = -6*q + q + 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 2:07 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487179080 to the power of 1\/2, to the nearest integer?\nAnswer: 49872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.042 bigger than 12\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*z - 184 = -4*t, 4*z = -4*t + 688. Let n = 410 - t. Let b = -39 + n. Is 42 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 13*n**2 + 13*n + 14. Let p be b(-12). Suppose p*d + d = -5*y + 9, 4*y + 3*d - 9 = 0. Solve 4*j + 9 + 11 = y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -15 - 4 - (-3 + -9 + 8)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 11 = 3*d. Suppose -2*w - 12 = -6*w - 4*x, -2*w = -4*x - d. Solve -4*c + 0*c + w = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 55. Let t be o(-8). Suppose 0*f + 5*f + 20 = 4*y, -4*f - 15 = -3*y. Let r(i) = -3 - 4 - 9*i + 1 + y. What is r(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6584716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3011 (base 5) to base 10\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 4*y**2 - 2*y + 2. Suppose 0 = -d - 0*d + 5. Let b = d - 2. Is g(b) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from nnggbnngnnbs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*s + 65 = 0, 49*s = -3*c + 42*s + 68 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -71*k - 15. Let y(d) = -1. Let b(w) = -j(w) + 2*y(w). Let x(l) = 36*l + 7. Let n(h) = 2*b(h) - 5*x(h). Does 21 divide n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 736.81 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822381 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109869 - 46364801\/422. Let v = -7113\/16 - -887\/2. Find the common denominator of l and v.\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 1 = 11. Suppose n*a + 6*m - 2 = 5*m, 0 = -5*a - 4*m + 8. Let l = -1.06 + 0.06. Put l, a, 10 in increasing order.\nAnswer: l, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2134883809 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11617078?\nAnswer: 2, 11, 113, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17138791 less than 17138791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15995*z - 7784*z - 7899*z + 8112 = 0 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8592, 17162, 25678, 34128, 42500, 50782, 58962, 67028?\nAnswer: 74968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32, -28, -24, -20, -16, -12?\n\"Answer: 4*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -5 (c) 2\/145 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -23*k + 42. Which is smaller: 13 or k?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 7. Let h(l) = l**2 - 3. Let t(b) = 2*h(b) - w(b). Let k(d) = -10*d**2 - 1. Calculate -4*k(x) - 4*t(x).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -21336630 to the nearest 10000.\nAnswer: -21340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 - 3*q**2)*(0*q - q + 3*q + (q + 0*q - 3*q)*(3 - 2 - 3) - 5*q + 2*q + q - 4*q + q + q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 - (4 + (-15)\/(-5)). What is the tens digit of (-8)\/6*z\/(77\/(-2142))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*4)\/(2\/1). Let n be -5 - -3 - (-4 + w). Suppose n = -2*u + 10 + 2. Solve m = -4*c - 11 - u, -2*m + 21 = -3*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Suppose 0 = -5*d + 25, -2*w - 5*d + 6 + 9 = 0. Let g be (w - -2)*(0 + -1). Let p(h) = 0*h**2 + g*h**2 - 4*h**2. What is p(m(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*p + 18. Suppose -3*o - 129 = -p*n, 3*n - 5*o + 51 - 180 = 0. Suppose u + 8 = n. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 466 - 471. Let k(o) = 0*o + 3 - 6*o + 1. Let s(d) = d. Let g(m) = -k(m) - 5*s(m). What is g(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 29*b + 285. Suppose -4*m = 5*u - 25, -3*u + 2*m = 3*m - b. Solve -1 = -r - 4*v + 6, -5*v + 15 = -u*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590483?\nAnswer: 37, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 123.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -44. Let w be 4\/(3\/((-6)\/(-4))). Let s = 10955 - 76682\/7. What is the closest to k in w, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4120, 4715, 5310?\n\"Answer: 595*p + 3525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3189 (b) 0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/3)\/x**(-1\/13))\/(x**5*x)**42 assuming x is positive.\nAnswer: x**(-9760\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12570, -25218, -38002, -50988, -64242, -77830, -91818?\nAnswer: -106272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45568477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -44*f**3 - 266*f**2 - 5*f - 11. Give w(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 602?\nAnswer: 5ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3559*j - 92569. What is t(26)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3705178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 14, i: 5}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/285481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -67. Which is the closest to o? (a) 8 (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*i = 0, 18*i = -2*y + 23*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -0.06, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 125 = -243. Calculate the highest common divisor of t and 944.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 73*z**8\/336 + z**7\/30 + z**6\/40 - 7*z**4\/24 + 127*z**3\/3 + 217*z**2 + 8*z - 1. Find the second derivative of n(l) wrt l.\nAnswer: 1460*l**3 + 84*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126410*x**2 - 126410*x**2 + 2*x + 96*x**3 + 2 as p + y*x**3 + m*x**2 + v*x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -4, -5 in descending order.\nAnswer: -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1877226 and -73\/24.\nAnswer: 7508904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 25 + 2*h + 6*h - 5*h + h. Suppose -4*w + 5*m = 34, -3*w + 8*w + 32 = m. Let o be k(w). Let g(i) = -5*i**2 - 1. What is g(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 80 = 0. Let j be b\/(-10)*(4 - -1). Is 0 - (-39 - j\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625 divided by 1?\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -423, -2722, 5 in increasing order.\nAnswer: -2722, -423, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from dwuukkukwqffdkkku?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211010 + 11?\nAnswer: 12211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 493, 746, 1019, 1318, 1649?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h - 2. Let v(z) = 9*z**2 + 87*z + 163. Let n be v(-7). Let x(o) = 13*o - 2. Calculate n*x(b) + 6*d(b).\nAnswer: 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872, 6940, 23456, 55658, 108784, 188072, 298760?\nAnswer: 446086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315832 and 12610?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 70 - 3*q + 85 + (-2 + 2*q + 2)*(5 - 2 + 4)*(-1 + 0 + 3).\nAnswer: 29*q + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25999.41 and -0.37?\nAnswer: 9619.7817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 21*k + 3. Let f(y) = 62*y + 8. Let c be (21\/(-63))\/((-20)\/480). Calculate c*m(w) - 3*f(w).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 91, 147, 205, 265, 327, 391?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 4*b**2 - 3*b - 3. Let j be r(2). Calculate the remainder when ((-350)\/j)\/((-1)\/3) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1190964 divided by 6508.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 7*p**6\/360 + 7*p**5\/120 + p**4\/24 - p**3\/6 + 6*p. Let j(b) be the second derivative of w(b). Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22232 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -24. What is the remainder when 2\/(l\/(-23)) + -7 + 5 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2247666 and -64\/272775.\nAnswer: 56191650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 20 = 2. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -46*q - 1. Let x(z) = -43*z - 1. Let i(t) = -d(t) + x(t). Let r(g) = -566*g. What is i(r(p))?\nAnswer: -1698*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**4\/6 - 8*h**2 - h + 285. Let r(i) = 13*i + 0*i - 111*i. Determine p(r(q)).\nAnswer: -392*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 3*r**2 + 5*r**2)*(-3*r**2 + 4*r**2 + 0*r**2) + (-1 + 1 + 5*r)*(-2*r**3 - 3*r**2 + 3*r**2).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5215 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2555 by -357.\nAnswer: 365\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 14*c**2 - 35*c - 8. Let z(b) = 11*b**2 - 32*b - 7. Let a(v) = -3*x(v) + 4*z(v). Calculate a(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/(12\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 0*g**4 - 4\/3*g**3 + 0*g**5 + 0*g**2 - 1\/7*g**7 + 1 + 0*g**6 + 0*g. What is the third derivative of o(p) wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1647*q**4 + 3*q - 700 wrt q?\nAnswer: -19764*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*n**3 - 3 - 2 + 4*n**2 + 2 + 13*n**3 to d + g*n**2 + h*n**3 + a*n and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-21)*(-322)\/4. Let t = 49 - w. Solve 0*a - 6 = -t*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 24200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 257, 252, 231, 188, 117, 12, -133?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 704 + -701. Solve -u*z - 25 = -2*b, 15 = -0*b + 5*b + 2*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.8597ml in litres?\nAnswer: 0.0498597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 195*t - 195*t + 17*t**3 + (-3*t + 2*t - 2*t)*(-2*t**2 + 4*t - 4*t) - 7*t**3 - 18 + 18.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-5*x - 3*x + 3*x)*(10 - 42*x - 1 - 10).\nAnswer: 420*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080859 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/4*(-148)\/(-259). Suppose -v*j + 185 + 43 = 2*w, -w + 4*j = -109. What are the prime factors of w?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(-22)\/(y**(-1\/7)\/y**(-2\/17)) assuming y is positive.\nAnswer: y**(-1306\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**2 + 65291*g - 36*g**2 - 65328*g.\nAnswer: -17*g**2 - 37*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b + 16. Let c be (80\/(-120))\/(2\/21). Let h(s) = -8*s + 13. Let u(l) = c*h(l) + 6*m(l). Give u(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27880*j**2 + 13940*j**2 + 556789 - 556789 + 13936*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**2 - 19*k + 12. Let h be d(-13). Suppose h*j - 42 = -7. Solve -j*c + 2*t - 3*t = 1, 0 = -c - t - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)\/(1\/2). Let w be f - (-1*4 - -2). Let n(s) = 3*s - 2. Let l(z) = 2*z - 1. Let a(d) = 4*l(d) - 3*n(d). Give a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1103 or -1102?\nAnswer: -1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -1 (b) 420 (c) -432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*12\/(-9)*((-5)\/(-20))\/(437\/(-38)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 9*h - 16. Let u be m(-11). Let k(g) = -1 - g + 0*g + u. Suppose j = 5*z + 4, j + 0 - 4 = z. Give k(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 26*g**2 - 12*g - 5. Let x be k(1). Solve 0 = 2*b + w - 4*w + 7, -x = 2*b - w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - 4. Let q = -16 - n. Let u be (-6)\/(-45)*q\/12. Which is the biggest value? (a) u (b) 5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1 - 0)*-3. Let a = -3978 + 3966. What is the fourth biggest value in a, m, 1\/4, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f*l*q - 2*f*l - 5*f*q + 15*f + 104*l*q + q + 3 wrt f.\nAnswer: 4*l*q - 2*l - 5*q + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -21\/10 (c) 1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*n**4 - 371314*n**3 + 119638977*n**2 - 238165168*n + 118897216.\nAnswer: (n - 1)**2*(17*n - 10904)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(1 + (-12)\/(-28))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -83, -132, -165, -176, -159, -108?\n\"Answer: n**3 - n**2 - 63*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 15 - 15. Let f(s) = -s**2 + 5. Let p be f(x). Solve 5*t - 4*c = -18 - 27, 0 = -p*t - 3*c - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 476 - 473. Solve 0*x + 2*x + 23 = -5*q, 5*x = g*q - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26.837 and -0.021.\nAnswer: 26.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 30 = -2*i - 5*w, -5*w = 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -2\/105*n**7 + 1\/12*n**5 + 0*n**4 + 0*n**3 - 3*n**2 + 0 + 0*n + 0*n**6. What is the third derivative of l(t) wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1484008 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 6. Let k be m(14). What is the units digit of 3 + (2 - k - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.34 from -295.01.\nAnswer: -289.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 38*a + 1. Let v be o(7). Let s = -115 + v. Let h be (-536)\/(-28) + -3 + 80\/28. Calculate the highest common divisor of h and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -357\/28310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from lbwblclweclwlwwwg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 16280 + 16280 + 0*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -27 + 0*t + 19\/2*t**2. Let w(r) = -r. Give z(w(j)).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 6546560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*n = -13, 0*d + n = 4*d - 16. Suppose -d*h - 2*h - 4*w + 25 = 0, 0 = -3*w. Suppose 3 = h*l - 2. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2 - 118*g + 70 wrt g?\nAnswer: 4*g - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1078)\/110 - (-9 - 0))*(-1 + 2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 3*u**2 - 11*u - 2. Let z(j) = 2*j**3 - 5*j**2 + 19*j + 3. Let i(r) = -7*q(r) - 4*z(r). Determine i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 10:12 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/2 + 5859*n**4 - 329821*n**3 - 1754538*n**2 - 4992359*n\/2 - 1077321 = 0. What is n?\nAnswer: -11774, -3, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 55 - 39. Suppose 5*n - 2*b - 5383 = d*b, 3*b = -3*n + 3219. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 0. Suppose x = -b + 5*b - 20. Suppose -8 = -52*l + 50*l. Solve -j + 0*j = -b*c + 18, -14 = -l*c + j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 11*f**2\/2 + 53833. Let v(a) be the first derivative of -a**2 - 1. Determine v(j(x)).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1775\/(-75) + 26)*96\/952.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*k - k = 30, -2*k + 18 = -3*y. Let u = -1 + y. Let p = u + 11. Solve -5*t - 9 = -4*x, -p*t - 1 - 1 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:33 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(2\/15)*k))\/k**1*((k\/k**(-2\/9))\/k)\/k**20 assuming k is positive.\nAnswer: k**(-941\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*444\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -1.9.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 76*o**3 + 2*o**2 - 3*o. Calculate p(1).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let u(y) = y**2 + 5*y + 5. Let p = 7 + -13. Let i = p + 7. Let n(r) = i*u(r) + 5*t(r). Let q(o) = -2*o**2. Calculate n(q(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**7\/840 + q**6\/72 - q**5\/120 - q**4\/8 + 4*q**3\/3 - 1. Let a(h) be the third derivative of i(h). Calculate a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2)\/((-352)\/(-704)*(-14)\/(-511))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 6*l**2 - 3*l - 2. Suppose -3*r + 3*z = 4*z - 23, -3*r - 3*z = -33. Let g be i(r). Let j = g - -56. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58.62801 decades?\nAnswer: 7035.3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -44260 divided by -8852\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 5*f + 4. Let h be k(-4). Let u(b) = -b**3 + b**2 - 6*b - 1. Let t be u(0). What is the closest to h in -3, -3\/4, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54.5 - 54.4999683. What is g rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**4 + 175*u**2 + 2*u**4 + 2 - 8*u - 173*u**2 - 2*u to the form d + z*u + l*u**2 + y*u**4 + n*u**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 109*f**3 + 3*f**2 - 2*f + 3. Let s(o) = -72*o**3 - 2*o**2 + o - 2. Calculate 5*l(i) + 7*s(i).\nAnswer: 41*i**3 + i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 372*m**2 + 4*m - 372.\nAnswer: -4*(m - 93)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 8*f**2 - 7*f. Let m be c(-7). Suppose 21*z - 10*z = -22. Sort -4, m, -5, z in ascending order.\nAnswer: -5, -4, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2912? (a) -4 (b) 3 (c) -1 (d) 0.1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 70 = 17*h + 26*h - 48*h, 3*c = -3*h - 45 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agaazdga. Give prob of picking 2 a and 1 g.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2224201 or -2224205?\nAnswer: -2224201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 1.7, -3, 0.07.\nAnswer: -4, -3, -2, 0.07, 1.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 4*d**2 - 14*d**3 - 13*d**2 - 11 - 7*d + 4*d**2. Let b(u) = 5*u**3 + 2*u**2 + 4*u + 4. Calculate 11*b(h) + 4*r(h).\nAnswer: -h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 18, 5, -10, -27, -46, -67?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 3*i - 3*i**2 + 3*i**2 - 4*i.\nAnswer: -3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 16, p: 2}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 13*k**2 - 41*k + 8. Let m be u(-5). Suppose -m*w + 18504 = 5751. List the prime factors of w.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 18 = 2*t, t - 4*r = 2*t + 23 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2233)\/(-33))\/(4\/12). What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 1 - 3. Suppose 4*d + 10 = 3*l - 1, 5*l = 3*d. Which is greater: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/15)\/(2\/(-36)). Let r(l) = 1. Let z(j) = -1. Let f(p) = s*r(p) + 5*z(p). Let q(d) = 2 + 2*d - 6 - 4*d. Give 5*f(v) + q(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -1. Let w = -0.07 - 1.93. Which is the smallest value? (a) -0.4 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/22 - (1 - 3). Suppose -5*i + 24 = j*w, 12 = 5*i - 0*w - 4*w. What is the derivative of -10*f**3 - 8 + 9*f**4 + 10*f**3 + 3*f**i wrt f?\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 5) + (-32 - 5)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.4 times 2.8?\nAnswer: 1087.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - u + 1. Let i(v) = 3*v**2 + 5*v - 6. Let g(z) = -i(z) + 4*j(z). Let x be g(8). Suppose -x = -l + 9. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/(-1032))\/((-2)\/(-8))*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 8 - (-5 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188244146 - 188233293.7653. Let d = 10921.24 - n. Let v = d + -69. What is v rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 13 = -169. Let i be (-4000)\/(-350) + (-4)\/(-7). Calculate the highest common divisor of i and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -21381*a + 21448. Give x(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, q: 1, i: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -213.2623 + 213. Let l = r - -0.216. Let s = l + 0.052. What is s rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 3, -32, 1.\nAnswer: -111, -32, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/54 and -41\/1108?\nAnswer: 29916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 202*v + 813. Let p be q(-4). Let a be 1 + (-2)\/2 + 1. Put 10, a, p in increasing order.\nAnswer: a, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*q - 71*q + 16*q - 5*q.\nAnswer: -137*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*w + 67164563 - 135416640 = 113196741. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -754257087*t**4 - 14070*t**2 - 22203*t?\nAnswer: -18102170088*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**5 + 16*s**4 - 764*s**3 - 1560*s**2 = 0.\nAnswer: -15, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-6)\/(-16))*(-1131)\/(-754)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.3 + -0.3. Are y and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.596\nAnswer: 0.2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6663615 centuries to years.\nAnswer: 66.63615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446*k + 1515*k - 1311 = 0 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5747, -11321, -16895, -22469, -28043?\n\"Answer: -5574*s - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let h be 19\/(-7) - j\/(-7). Which is greater: -5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.057593552 and 5.\nAnswer: 4.942406448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b09 (base 13) in base 2?\nAnswer: -10100110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364 by -1.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -30*v - 68. Calculate the lowest common multiple of 14 and q(-3).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2*k**2 + 9*k**2)*(2 - 2 + 2*k**3 + 6*k**3 + k**3 - 3*k**3 + (-k**2 - 3 + 3)*(-3 + 2*k + 3)).\nAnswer: 44*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v - 18*v + 812 = 22*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10585, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/30 - 2*r**2. Let l = 11 + -8. Let p(a) = -l*a - a + 2*a + 4*a. Determine j(p(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13626*u**2 - 27787*u**2 + 14156*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1825343 from 0.4.\nAnswer: 1825343.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 318 - 336 = 4*c, -c = 23*r + 138 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - y**2 + 0 + 3 + (5 - 5 + 2*y)*(2*y + 3*y - 3*y) + 109*y**2 + 3 - 107*y**2 - 2*y - 5.\nAnswer: 5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 341 + -256. Suppose -2*v = 3*l - 0*v - 106, 4*l - 144 = -4*v. What is the highest common divisor of r and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 1. Let h be (-12)\/66 - 4\/(-22). Let t(c) be the first derivative of 6*c + 2*c**2 + h*c + 3*c**2 - 5. Calculate 11*q(n) + 2*t(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 16) to base 14\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**4 - 59*t - 15*t - 7*t**4 + 26*t**3 - 25 + t**2 - 27*t**3 in the form s*t**2 + m*t**3 + d*t + q*t**4 + b and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avs when three letters picked without replacement from iisahaxvixxi.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-334 + 334 - 47*i + (5*i - 3*i - 4*i)*(-1 + 1 - 2))*(3 + 1 - 2) + 0*i - i - 2*i in the form y*i + t and give y.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 27*p - 59. Let r be v(-29). Put 5, r, -5, -3 in ascending order.\nAnswer: -5, -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3592 times -2028?\nAnswer: 7284576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + 6*sqrt(38)\/sqrt(2)).\nAnswer: -36*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11864808805 - -162.\nAnswer: 11864808967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12033303114 (base 5) in base 14?\nAnswer: -1bd6749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8911 - -0.001.\nAnswer: 0.8921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2537235*q + 2537224*q - 660 = 0 for q.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12700 + -2300. Which is smaller: 10399 or k?\nAnswer: 10399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189999 and 7533?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 15*k**3 - 1 + 12*k**3 + 3*k + 3*k**2 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12917*k + 10245*k + 1752*k + 10372*k + 2. Let r be u(-7). Round r to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(11 - 6)*(-8)\/10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v - 32. Is 14 a factor of y(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + 277*f**2 - 138*f - 45. What is a(-139)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**3 - 2*v**2 + 2. What is the second derivative of a(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzoonzonnztnnzo. What is prob of picking 2 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 3*w**4\/8 - 3*w**2. Let q(v) = 8*v. Let u(o) = 15*o. Let d(c) = -9*q(c) + 5*u(c). Determine r(d(l)).\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8715571.\nAnswer: 967, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13492*g**2 - 18*g**3 + 6695*g**2 + 21*g**3 + 6797*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -1 - ((-9 - -24) + -28 + 18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(21)\/sqrt(3) + -2).\nAnswer: -5*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5189668729958118 + 2*l**3 + 5189668729958119.\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 6*s**2 + 14*s - 29. Calculate x(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/22)\/((h*h**23)\/h) assuming h is positive.\nAnswer: h**(-503\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.84361 minus -7?\nAnswer: -52.84361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.9 - -15. Let l = 7 + -8. Let n = -0.9 - l. Which is the closest to f? (a) -3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157219691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -51*m**3 - 7*m**2 + m - 23. Let z be g(-11). Round z to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 6 = 0. What is the first derivative of 2 - 2*r**2 - r**2 + 0*r**2 + i*r**2 wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-3) + ((-71)\/923)\/((-5)\/(2080\/8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -110, 755, 1596, 2401, 3158, 3855, 4480?\n\"Answer: -2*u**3 + 879*u - 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 447582503 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27832 - 0.28. What is p rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**2 - 35*p + 220 = 0?\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -157*a**2. Let f(p) = -765*p**2. Give f(y(w)).\nAnswer: -18856485*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*h - 47, -3*h + 37 = -2*g - 0*h. Let v be 4\/8 - g\/4. Solve 0 = v*s - 7*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 429 - 1286\/3. What is the closest to k in -9\/4, 1\/4, -3, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1953 and 270909.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 9 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525 divided by -4.\nAnswer: 525\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 4*r + 3. Let g be w(2). Let h(z) = -g*z + 0 - 17*z + 1 + 0. Is h(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(3 - (-2 - -5)). Let x be 12\/4 + (0 - 1). Suppose -2*j - m = i, 0 = -x*j - 3*j - m + 6. What is the smallest value in 3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*m + 24 = 0, -4*h + 5 + 11 = -4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -22. What are the prime factors of -1 + w*676\/(-12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5982 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**4\/12 - s**2\/2 + 5495*s. What is k(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 200, 205, 214, 227, 244, 265?\n\"Answer: 2*d**2 - d + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*u + 5*o + 12, 18*u + 8*o - 236 = 4*o for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-9 + 17 - 7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7392.5 and 45.1235.\nAnswer: -7347.3765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/((-255)\/(-40) - 6). Let j(d) = -d**3 - 5*d**2 - 4*d - 3. Let p be j(c). Let u = -363\/14 - -51\/2. What is the third smallest value in p, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1.4, -44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54975 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.05901 and -0.3.\nAnswer: -4.517703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bd + -1?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -6)*2\/(-6). Let w(c) = 5*c - c**3 - 4*c**2 + 8 + c**u - 5*c**2. Let j be w(-9). What is the highest common factor of j and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118419 is divided by 213.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -5, 51, -34\/3, -4, 7\/5, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214743 - 1.\nAnswer: -214744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**3 + g**3 + 2*g**3)*(1 + 0 + 0) - 4*g**3 + 2*g**3 + g + 0*g.\nAnswer: -7*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i - 13 - 167 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68896849 is divided by 3971.\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1068, 1072, 1076?\n\"Answer: 4*u + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-4) + -1)\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -169458 and 2?\nAnswer: -338916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -348.685455 to one decimal place.\nAnswer: -348.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 4, -2, -9058 in decreasing order.\nAnswer: 4, -3\/2, -2, -9058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1375\/375*199\/11 + (-1)\/3. Let h be 2\/(-4)*-6*99. Calculate the highest common divisor of c and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11799 and 3876?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.19126 (b) 9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 4*z + 52. What is j(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v + 50. Is 3 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(sqrt(17) - (sqrt(17) + (sqrt(17) - sqrt(68)))) - (sqrt(153) + -2 + 2*(sqrt(17) + 0 + sqrt(17))))**2.\nAnswer: -84*sqrt(17) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 + q + 1. Let i be m(2). Let o be (5 - 3)\/(-2) + i. What is the second derivative of j**2 - 4*j + j**2 + 2*j**2 + o*j wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t = 48. Let f be (3 + 507)*((-8)\/6 + 2). Suppose 9*q - f = -25. What is the remainder when q is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/420 and -197\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101081297 or 707569080\/7?\nAnswer: 101081297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/13 - ((-10750)\/(-1300))\/(-5). Determine b, given that -1\/4*b**2 - 5\/4 - l*b = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-224)\/20 + (-1 - -3). Let d = 92\/5 + v. Let x = 37397\/10 - 3745. Calculate the common denominator of d and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12\/7)\/y**18*(y*y**(-4\/3))**47 assuming y is positive.\nAnswer: y**(-743\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*n + 16, 3*w + 3*n - 7*n - 8 = 0. Let u be (24\/60)\/(2\/60). Calculate the greatest common factor of w and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 4*i - 35, -161 = -4*x - 5*i. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0 + 0*g**5 + 0*g**3 + 0*g + 14*g**2 - 13\/40*g**6 + g**4. Find the second derivative of j(p) wrt p.\nAnswer: -234*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -101131102003?\nAnswer: -101131101320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 - 3*y**2 + y + 2108. Is z(0) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let a(w) = 51*w. Calculate m(a(q)).\nAnswer: 5202*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051209 to the power of 1\/2, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/sqrt(36) + 3.\nAnswer: sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f - 447. Let r(d) = -5*d. Calculate r(l(i)).\nAnswer: -50*i + 2235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)*-2*-2)\/sqrt(7))\/((sqrt(3) - sqrt(33)\/sqrt(44))*-6).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-15))\/((-4)\/(-20)*-6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 13 + 2*l + 8 + 2.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 530983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85)*-2*-2)*-2*-3)\/(4*-2*sqrt(80)).\nAnswer: -15*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2801, -2835, -2867, -2897, -2925?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*f + 4 = 0, 5*u + 158*f + 4 = 156*f. Solve 46*t - 44*t - 6 = u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48, -105, -174, -255, -348, -453, -570?\n\"Answer: -6*z**2 - 39*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 104*f**3 - 2*f - 5. Let q be w(-3). Let p = -1008 - q. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 5*r**3\/2 + 2*r**2 + 2*r - 6. Determine g(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37\/2 + -17. Suppose 0*x - 16 = -4*x. Suppose 0 = -0*a + 2*a + 4*o + x, 0 = -5*a + 4*o - 10. Sort i, -1, a in decreasing order.\nAnswer: i, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100201 * 0.4.\nAnswer: 40080.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) - (-45)\/35. Let u be (-8 - -11) + 1\/d. Suppose -9*y - 3*y + 10*y**4 + 65*y**4 + 0*y**u - 48*y**2 - 15*y**3 = 0. What is y?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 4*u + 3. Does 20 divide j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b9c (base 13) in base 9?\nAnswer: 8671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -289 or -1443\/5?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 4. Let m be q(7). What is the highest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/2))**(5\/8)\/(l\/(l*l*l**(-10)))**(-3\/19) assuming l is positive.\nAnswer: l**(1097\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 0.052689202.\nAnswer: 7.947310798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5087, 10172, 15257?\nAnswer: 20342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31746 is divided by 147.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2 = -3*v, -20 = -v + 5*c - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2, 3*n - 4*w = 4*n - 293. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/96 and -115\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14406 = -4*t - l, -41*t + 48*t + 2*l - 25210 = 0. List the prime factors of t.\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*10.7.\nAnswer: 4.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 25. Suppose 0 = 10*g - m*g + 6. Suppose -869 = -g*a - l, 1523 = 4*a - l - 230. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 146*v**2 - 47*v + 26. Is z(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 4*a**2 - 5*a**2)*(-a**3 - a**2 + a**2) + 6*a**5 + 3 - 3.\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c + 15. Let s be ((-9)\/2)\/(-3)*2. Suppose -2*t = -4*a + 18, a + 5 = c*a + s*t. Solve -a*b + 5 = -6*f + f, -2*b = 5*f + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -189137 and 786.\nAnswer: -148661682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (1 + 8 + 29) - -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -5 (b) -0.5 (c) 0.1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -5 - (-8 + -2 + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.3 + -1.3. Let t = 68\/3 + -337\/15. Let m = -71\/51 - -18\/17. Which is the closest to -0.1? (a) m (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*i = -13053, -5*s + 8*i + 10044 = -6201. List the prime factors of s.\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1fc5d6 (base 16) to base 6.\nAnswer: -112344034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-9 - -6) + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhs. What is prob of picking 1 h and 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0.056008916.\nAnswer: 9.943991084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 4:12 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174228 divided by 6.\nAnswer: 29038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 18*r - 35. Let f be w(-16). Sort f, 5, 4.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (49708\/2616 - 19)*6\/(-4). Is 0 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 4, l: 4, n: 6, j: 1}. What is prob of picking 2 z and 1 l?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12039 - ((-112)\/7 + 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -109.3, 0.1, 0.3104?\nAnswer: -109.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*o - 2*o + 58 = 0, 0 = q - 4*o - 19. Solve -y + q = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, d: 1, e: 2, b: 9}. What is prob of picking 1 f and 1 e?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 2*r - r)*((3 - 2*r - 3)*(2*r**2 + 0*r**2 - 3*r**2) + 17*r**2 + 2*r**3 - 17*r**2) as l*r**3 + c*r + x + n*r**2 + i*r**4 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108.3 - 24.7. Let z = u + 129. Which is the second biggest value? (a) -0.07 (b) 1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83823*o**3 - 114858*o**3 + 21644*o**3 + 27587*o**3.\nAnswer: -149450*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238 - 255 - (4 - 2) - -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x - 2*z + 511 = 905, -z + 75 = 5*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887374131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -27*j + 171 - 278. Sort -1\/22, j, 17\/3 in descending order.\nAnswer: 17\/3, j, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/9 - 20*d**2\/9 - 34*d\/9 + 44\/3 = 0.\nAnswer: -3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0, 101, 2 in descending order.\nAnswer: 101, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168341 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 6*p + 80. Let h be m(12). Solve 0 = -0*x - 2*x - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 4*l**2 - l - 4. Let a be k(-4). Suppose a = -y + 3 + 31. Calculate the remainder when y is divided by 0 - (-1)\/((-2)\/(-24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -c + 2, -31*c + 2*w = -26*c - 10. Solve 3 = -c*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 66. Let g be o(29). Suppose r + 2*r = 18. What is the third derivative of r*p**2 + 13*p**5 - 2 - g*p**5 + 2 wrt p?\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -107, -128, -169, -236, -335, -472?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {h: 5, q: 2, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/((-2601)\/34))\/(9\/((-108)\/352)).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51216, 102432, 153648, 204864, 256080?\nAnswer: 307296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1947*i - 241362. Determine r(-124).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 + 700*d - 1380 = 0. What is d?\nAnswer: 2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/(1\/((-2)\/(-1))). Let r = v + 1979\/13. Let d be (2 - 11\/6)\/((-4080)\/(-135) + -30). What is the smallest value in 1, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 17 - 3)*(4*f**2 + 0 - 3*f**2 - 2).\nAnswer: -38*f**2 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose y = 0, -4*w = -w - 3*y - 9. Let g = 7 - w. Solve 2*t - 6 = g*i, x = -0*i + 4*i - 5*t + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6117 + -122243\/20. Let h = 4307 - 43017\/10. Calculate the common denominator of h and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 652\/13. Let q = 6 + -5.7. Let p = 0.7 + q. Which is the third biggest value? (a) p (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16758, -1.3, 1\/4, 14.8 in decreasing order.\nAnswer: 16758, 14.8, 1\/4, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -8*a + 12. Is (-2177)\/(-1) + (a - 10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-10 + (18 + -36 - (-9 + 0)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 212.2 + -172. Let z = -40.6 + q. Which is the closest to 4\/3? (a) z (b) 4 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -18, 0 = 53*j - 48*j - 4*f - 11. What is the nearest to 276 in -2, j, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 27 + 21 = 0. Put m, -5, 2 in increasing order.\nAnswer: m, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(12)\/sqrt(4) + 4)**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + 5 + (-8 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 3210 = 8*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 6 = d, 0 = 5*v + 4*d - 5581 + 5578 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 466*v**2 - 3*v + 1. Let a be t(1). Suppose -13*z + a = -9*z. Let i = z + -90. What is the greatest common factor of i and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -37*i**5\/30 + i**4\/24 - i**3\/2 + 57*i**2. Find the second derivative of p(r) wrt r.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 60. Let a be 162\/4*8\/12. Let o = a - 11. Calculate the remainder when d is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + (2 + sqrt(468))**2 + 1 + 2).\nAnswer: -473 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 c when four letters picked without replacement from {j: 3, c: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247730954*m**5 - m**2 - 4*m + 375351 wrt m?\nAnswer: 14863857240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 5)*(-1 - 1 - 1) - 1 + 3 + 1)*(4*b - 3*b - 5*b)*(2 + 0 + 0).\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 57, 99, 147, 195, 237?\n\"Answer: -x**3 + 12*x**2 + x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -871047, -871006, -870935, -870834, -870703, -870542?\n\"Answer: 15*v**2 - 4*v - 871058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - m = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q + 642 = -45*q + 211*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 6*l - 3*l)*(-12*l**3 - 177 - l**2 + 177) to m*l + g*l**2 + y + k*l**4 + t*l**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = -60. Suppose -4 = -z + a. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100110 + -3101202?\nAnswer: -3201312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-15 + (7 - -7 - 11)) - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29769068 and 6075320.\nAnswer: 297690680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1543, -2 in decreasing order.\nAnswer: 1543, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.3, -360?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 + 5872*i + 2155024 = 0 for i.\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)\/k)**(-40))**(-34) assuming k is positive.\nAnswer: k**(-680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 141604*d. Let p(v) = -14*v**2. What is k(p(l))?\nAnswer: -1982456*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - -18. What is the greatest common divisor of 330 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - -10 - (-4 - 22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*h - 9 - 2 = 0, 4*g - 40 = 5*h. Suppose g*x - 484 = -169. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 5. Suppose 26 = 5*q - 4. Let y be b(q). Let o = y + 11. Solve -o*v = 2*m - 2, -4*m + 7 + 3 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100120002 - -222212?\nAnswer: 101112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4750.082 to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 10. Let g = 0 + x. Differentiate g*o**3 - 10*o**3 - o**2 + 3 + o**2 wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(6336) + sqrt(6336) + 1)*6.\nAnswer: 9 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/((-3)\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - a?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24 = -3*d - d, 5*d + 5*g = -35. Put -4, d, 3 in ascending order.\nAnswer: -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -6*((sqrt(153) - sqrt(153)*1) + sqrt(153) - sqrt(153)))*-4)\/(3*sqrt(324)).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(1 + 2 - 2)*(6*o**2 - 10*o**2 - 2*o**3 - 12*o**2).\nAnswer: -6*o**3 - 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 11.33, -2, 13, 2\/3, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -6\/7, -26\/89 in descending order.\nAnswer: -26\/89, -2\/3, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/21)\/(25010\/30012).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/8 + 0 + 0. Find the second derivative of -7*a + s*a**5 + 3*a - 3*a**5 wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -709*r + 708*r + 69 + 4*r**2 - r**3 - 2*r**2 - 23 to i + p*r**3 + h*r**2 + c*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*w - 68*w - 73*w - 1 + 218*w.\nAnswer: -7*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-30)\/(-7425)*(-6)\/(-8)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2079 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3) + -1) + 3 + 0 + -5 + ((sqrt(21) + 1*sqrt(21))*-5)\/sqrt(7))**2.\nAnswer: 70*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*d + g, 0*g - 50 = 4*d - 2*g. Let l = -3 - d. Calculate the remainder when 15 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58271\/141 + 1240\/3. Let x = -203\/235 + g. Which is the third smallest value? (a) x (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333465578 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2 + 2 - 43*c**2 + 941 - 941 + (2 + 2 - 6)*(0 + 0 - 2*c**2).\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 1, x: 2}. Give prob of sequence vxxc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 0.06, -2\/9, -2\/23?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 974*b - 5377. List the prime factors of p(19).\nAnswer: 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -30.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 3\/10 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -3. Let z = -1 + f. Let g = 4.48 + 0.52. What is the smallest value in z, -1, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123 minus 57.992?\nAnswer: -58.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898396 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*z**3 - 35*z**2 + 35*z**2 + 61*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 149*z + 5551. Determine q(-75).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0*f**2 + 1\/4*f**4 + 0*f**3 + 0 - 1\/4*f**5 + 0*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 8 + 24. What is the least common multiple of l and 136\/24 - (-4)\/(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-23 - -6 - -14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or -442\/7?\nAnswer: -442\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*o**2*y - 94*g**3*o*y*z + 47*g**3*y - 3*g**2*o**2*y + 2*g**2*o**2*z + g**2*o**2 - 84*g**2*o*y*z + 4*g*o**2*y*z + 2*g wrt g.\nAnswer: 18*o**2*y - 564*o*y*z + 282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, a: 1, i: 2, g: 1, q: 1}. What is prob of sequence aqg?\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8552291 rounded to 4 decimal places?\nAnswer: -1.8552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 11*b + 91. Let a(y) = -y + 13. Let j be a(b). Suppose -2*w + 44 = 3*f, -5*f + j*f = 4*w - 76. What is the lowest common multiple of f and 118?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*r + 10, -5*q + 3 = -3*r + 9. Solve 3*d + q*d - 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1\/((-2)\/5). Let u(z) = 5*z**2 + 2*z + 1. Let r be u(2). Solve 0 = -0*x + p*x - r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 11*u + (-2*u + 3*u - 2*u)*(2 - 5 + 2) + 111*u - 23849 + 23849.\nAnswer: 101*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*n - 87 = 0, 4*o + 1704*n + 156 = 1708*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 13*i = -3*f - 52 + 25, 10*i - 38 = -3*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4527*r**3 - 1 - 4526*r**3 + 18104*r**3 - 4528*r**3 - 4522*r**3 + 1.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -38. Which is bigger: p or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*v - 514 - 5246 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10\/3)\/(j\/(j\/(j\/j**(1\/3))))*(j*j**(1\/2))\/j**9)**(-9) assuming j is positive.\nAnswer: j**(207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, -4, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + f - 3, 3 = -5*p - f - f. Let m = -10953 - -10953. Let y be 1*6\/3*-5. What is the second biggest value in p, y, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g, 0 = -5*a - g + 51 + 128. Let k = -7 + a. What is the first derivative of -40 + k + 18 - 22*j**4 wrt j?\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 6:32 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 28*h = -445. Suppose h = 5*n + 24. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15847 is divided by 1211.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (1 + -2 - -2). Suppose s*i + 0*i + 4 = -j, 4*j = 5*i + 49. Suppose -j*w + w + 60 = 0. What is the remainder when 35 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3803445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1482 and 1083?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (93 - (2 - 1))\/((-38)\/(-551)). Suppose 2*s + 14*h = 13*h + 896, -3*s + h = -z. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(2448) - -1*2*sqrt(34)\/sqrt(2))**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -29*p + 1. Let h(y) = 7*y. Give -9*h(r) - 2*x(r).\nAnswer: -5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495 divided by -165.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5.3, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + (-310)\/40 + 42\/(-8). Suppose 0 = -0*x - 3*x - 30. List the prime factors of (-2 + n\/x)*-10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a day in hours?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4\/7 (c) -2 (d) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162308 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**3 + 7*m - 5. Let k(h) = -h. Let s(o) = -f(o) - 2*k(o). Let b(c) = -8*c**3 - 6*c + 6. Give 5*b(t) - 6*s(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 224 = 30*c. What is the remainder when 83 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -684385071 + -27.\nAnswer: -684385098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from gzdgdzeezz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/27*3*-3. Let c = p - 3. What is the least common multiple of 3 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 59, 147, 271, 431, 627, 859?\n\"Answer: 18*p**2 - 2*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18547 - 222427\/12. Suppose 2*l + 4 = -2*l. Find the common denominator of (((-84)\/10)\/l)\/4 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*i + 432 - 861 + 430 + (-1 + 0 - 1)*(2 - i - 2) - 3*i - 7*i + 2*i to k + u*i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -32. Let l be u + 0 - 36\/(-12). Are 3 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3346, -3326, -3294, -3250, -3194, -3126, -3046?\n\"Answer: 6*l**2 + 2*l - 3354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2988 (b) 0 (c) -2\/5 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003669 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 470263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 2. Let i be y(-4). What is the second derivative of -123*a + i*a**3 - 65*a**3 - 102 + 102 + 2*a wrt a?\nAnswer: -306*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 - 29676*x**2 + 55026720*x + 55056400 = 0. Calculate x.\nAnswer: -1, 3710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 15448842*w + 59666679785241.\nAnswer: (w - 7724421)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.9, 1, -5\/3, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-4*(sqrt(187) - sqrt(187)*1))\/(1*3*sqrt(99)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 80 + -2031665?\nAnswer: -2031585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(51\/(-90)) + -2. Let y = 467\/34 + b. Find the common denominator of 34\/5 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 5)*(-2 + 2 + 2*z)*(-8 - 34*z + 8) as d*z**2 + w*z + b and give d.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 12, -4 = 2*k - 4*k + 2*p. Suppose -3*q - 29 = -k*b, -3*q - 2*b = b - 3. Let o = 5 - q. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (5 + -11 + 9 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -23. Let b = p - 6. Solve -m + b = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z - 38*z - 4 + 42*z + 4.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 512*a - 264*a + 2*a**2 - 249*a + 110 to r + f*a**2 + o*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -3\/7, 90, 2\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -16. Let c = p - 26.8. Let z = 0.09 - -2.91. What is the nearest to -1 in 4, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 = 11*g - 29, -3*l + 2 = -5*g. What is the biggest value in g, -0.3, 5\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -33*x - 11. Let n(s) = 17*s + 6. Let y(u) = -6*i(u) - 11*n(u). Let v(w) = 4*w. Let f(j) = -8*v(j) + 3*y(j). Let r = -107891 + 107900. Give f(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*q - 156. Let b = q + 383. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*o + 555*o - 31347 = -129*o - 253*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7292891279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 117 + 1976*s + 36 + 91 - 1977*s.\nAnswer: -s + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 19*k + 175*k)*(-k**2 - 4*k + 5*k + 3*k**2) in the form x*k + h*k**3 + p + o*k**2 and give h.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -706233, -2825010, -6356299, -11300094, -17656389, -25425178, -34606455?\n\"Answer: a**3 - 706262*a**2 + 2*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21441404.\nAnswer: 2, 5360351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 149\/7 + 4\/(-14). Let b = 54 - j. Is 1\/((-2)\/4) + b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:37 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3587082 by -9.\nAnswer: 1195694\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 8*b + 28 = -7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(4 + 1989*c - 4 + 1099*c).\nAnswer: -6176*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/14 - -5 - (-4160)\/(-1820)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4*4)\/(1\/187). Let w = -118 + 135. Calculate the highest common factor of s and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuuh when four letters picked without replacement from yuuyuuhhuuyl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-174)\/9)*-8*(-13)\/(-4160)?\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3549 is divided by 158.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 4) to base 5\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*z**3 + 119*z**3 - 5*z**3 + 35*z**3.\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 3*d**2 - 2*d + 3. Suppose 5*w + 2*b - 16 = 0, -2*b = -3*w + b - 3. Determine o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 8 + 3*p + 0*p. Determine u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10*y - 24 = 0. Let o be (-7 + (-136)\/(-16))\/(y\/188). What is the greatest common factor of 141 and o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.94 - -52. Is o > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7444 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: Is 3\/49 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6897093*i**6 - 2*i**5 - 7602394*i**2 wrt i?\nAnswer: 827651160*i**3 - 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26537 divided by -1\nAnswer: 26537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138526310, 138526309, 138526308, 138526307, 138526306, 138526305?\nAnswer: 138526304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(26) - (1*sqrt(104))\/sqrt(4))\/((sqrt(2)*2 + sqrt(2))*5) - (sqrt(52) + sqrt(572)\/(1*sqrt(11)) + 2*sqrt(52)*4)**2).\nAnswer: -5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i. Suppose -2*o + 4*f - 7 = -o, 2*f = -4*o + 8. Let x(p) = 0 - 2 - 2 + 33*p - 34*p + 5. Suppose 3 = -2*a - 1. Calculate a*x(z) + o*m(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 29. Calculate the remainder when 27 is divided by t(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33016 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - 130 + 130.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 7. Let p(r) = 9*r - 15. What is -4*a(z) - p(z)?\nAnswer: -5*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3141377120 and -4.7.\nAnswer: 3141377115.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 18*w**2. Let t(s) = -s**2 + s + 1073. Determine t(v(y)).\nAnswer: -324*y**4 + 18*y**2 + 1073","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 11*n**2 + 2*n + 15. Calculate r(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 43*z**3 + 94*z**2 + 172*z - 360.\nAnswer: -(z - 2)**2*(z + 2)*(z + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63399 at least -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -83. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-319)\/(-4))\/(34617\/(-6294))?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1428)\/48)\/((-2)\/128) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 4) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2. Let q(c) = -2868*c**2 + c. Determine q(x(a)).\nAnswer: -25812*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-75.7.\nAnswer: -605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192 is divided by 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(528)\/sqrt(11) - (sqrt(108) + 1))**2.\nAnswer: 8*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -97.4. Let y = p - 18. Let g be 3\/6 + (-5)\/(-2). Which is the third biggest value? (a) y (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1012*a + 17. Is v(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3095.2 + -3095. What is the closest to -0.045 in -5, j, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-64 + -17) - (17 - 0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/(135\/186 - (-3)\/(-4)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3024 and 2241876?\nAnswer: 80707536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -4*t + 5*c + 158, -2*t + 260 = 2*c. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + u. Let n be c(-1). Let k be 375\/6*n\/(-1). What is k rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/72)\/((-13630)\/705).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.759 and -0.5.\nAnswer: 0.3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 56896, -0.42?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 22 (b) 4\/5 (c) 2\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/13)\/((-6)\/(-156)). Suppose -25*w + 24*w - m*s + 12 = 0, -s = 4*w - 33. Suppose -6 = -2*v - 2. What is the least common multiple of w and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -5 in descending order.\nAnswer: 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 15 = -5*w, 2*u - 3*u = -2*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*d - 2069*d - 76*d + 202930 = 0 for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -52. Let v = -22 + 26. Suppose 0*c - 2*c - 24 = -v*o, 0 = o + 2*c - 11. Calculate the greatest common divisor of s and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 23. Let j be n(-5). Let a(t) = -j*t - 6 + 6*t**2 - 6*t**2 - t**2. What is a(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-140))\/((-6)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 3*l + 54. Let i(h) = -2*h + 53. Calculate -3*i(d) + 2*y(d).\nAnswer: 2*d**2 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/19 - 786*s**2\/19 - 2396*s\/19 + 7920\/19.\nAnswer: 2*(s - 396)*(s - 2)*(s + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -4.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (81 - 75 - ((-3 - -5) + -24)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 81, 169, 295, 465, 685, 961, 1299?\n\"Answer: d**3 + 10*d**2 + 19*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -20*k + 57. Solve 8 = -k*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 5*i**2 - 17*i + 20. Determine x(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 605, 3424, 8129, 14726, 23221, 33620?\n\"Answer: v**3 + 937*v**2 + v - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - l - 189, -29*p = -28*p + l - 47. Suppose 3*d - 258 = -72. Is d > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.653235728 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -0.16, -0.005, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 13 = -5*d, 4 = -4*q + 12. Let k be ((-236)\/16)\/(d\/4)*1. Suppose o - 7 = k. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7108672051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 36. Let s be (-1)\/(-7) + 332\/(-168)*-6. Calculate z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(600) + sqrt(6))\/(2*sqrt(3)*2).\nAnswer: -19*sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 1, -2 in ascending order.\nAnswer: -2, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, p: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006939951 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010001001100111 (base 2) to base 10.\nAnswer: -139879","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -356*f**4 - 10*f**3 - 8*f - 12. Let a(l) = l**4 - l**3 - l + 1. Let s(d) = 10*a(d) - q(d). Find the second derivative of s(c) wrt c.\nAnswer: 4392*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 + 144. Let o be (-1 + f - -1)*(-3)\/(-30). Which is the fourth biggest value? (a) -2 (b) 4 (c) o (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/6 (b) -0.4 (c) -17 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7470720 a multiple of 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -17*r + 174. Let f be t(11). Let w(p) = -9*p**3 + 17*p. Let y(l) = -4*l**3 + 8*l. Calculate f*y(j) + 6*w(j).\nAnswer: -2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-11718)*81*-98.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*z + 10 - 10 - 522*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from hqqsiqsq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 825 + -265. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -210*f. Let t(p) = -19*p. Give -56*t(i) + 5*x(i).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 3*b + 86*t - 85*t = 22, -3*b + 8*t - 41 = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*r - r**2 - 3*r**2 + 5*r**2 + 16*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, a: 2, j: 1, z: 4, l: 6}. What is prob of picking 1 l and 1 x?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 98, 147, 196, 245?\n\"Answer: 49*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 9*v**2 + 4. Let r be f(9). Let y = 228 - 153. Let o be 62\/15 - 10\/y. Solve -5*j = -o*j + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m + 8. Let s be k(0). Suppose g - s = -3*g. Solve 0 = -g*v - 5*a + 16, -19 + 0 = -5*v - 2*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15\/14 + -18\/7. Let t = 0.271 + -0.271. Let j = 1\/6 + 7\/12. Sort t, h, j in descending order.\nAnswer: j, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*126\/27*1\/10?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.4582*-0.4.\nAnswer: 15.38328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 555 = -a - 5*k, -4*k + 510 = -5*a. Which is bigger: a or -108?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/73 in -1, 0, -0.5, 304?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 7871, 4, 75 in increasing order.\nAnswer: 4, 75, 7871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 33*w**2 + 68*w + 1166. Let t be a(-34). Suppose 8*n = 3*n + 4*g + 45, 2*n - 35 = 5*g. Put n, t, 4, -5 in decreasing order.\nAnswer: t, n, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -6*w - 812. Calculate the least common multiple of 112 and w.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7 + 5673*w**3 + 27*w**2 - 27*w**2 + 1231*w**3.\nAnswer: 6904*w**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 + y - 1. Let m be i(-2). Suppose -q - m = -6*q + 3*s, -q + 22 = -4*s. Suppose -1\/3*x**3 - 2\/3 - 4\/3*x**q - 5\/3*x = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (5 - (0 + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525145.005ms to weeks.\nAnswer: 0.0008682953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q**3 + 51*q**3 - 115*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21 + (0 - (0 - 0)). Let q be 0 + (-24)\/3 + -3. Let m = q + o. What is the remainder when 29 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8196bc (base 15) to base 2\nAnswer: -10111011111010011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1940*c + 5837. Give d(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011 - 10001010?\nAnswer: -11101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5601 = 26 + 7393. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - 1.5. Let r = -19.5 + 19. Let o = 72 + -68. Which is the biggest value? (a) r (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10 + 1924\/(-185) - 8\/(2576\/(-3549)).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -726, -1571, -2758, -4287, -6158?\nAnswer: -8371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2000)\/((3\/1065)\/(-1)). Suppose a - q = 3*y, 6*y = y. What is a rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410209 not equal to 410201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21404926 is divided by 377?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.93873mm?\nAnswer: 0.00493873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85804964 divided by -3064463.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 9 = -2*a. Suppose 49*y - 48*y - 186 = -5*l, -a*l + 3*y + 71 = 0. Solve -6*u + l - 7 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 48 = -6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -40*q**4\/3 - q**3\/3 + 5*q**2 - 5. Let r be k(-1). Is (r + 13)*(3 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17160 - -17564.98. What is x rounded to 0 decimal places?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1298, 1294, 1288, 1280, 1270, 1258?\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/8 - 12351*l\/4 + 123435\/8.\nAnswer: 3*(l - 8229)*(l - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r + 16. Suppose -3*d - u = 2*d - 5, r*u - 20 = 4*d. Solve d = 5*t - 2*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y + 2877823 = 4626290 + 5524061. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) -0.5 (c) 1 (d) 106 (e) -264 (f) -1 (g) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrahhahhhrhh. What is prob of picking 2 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-14 + (23 - 13)) - 20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/(-2)*17*(-136)\/5202.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/244664 and 101\/6188.\nAnswer: 3180632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 4. Determine v(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(-2*sqrt(19) + sqrt(19)) + 3)**2.\nAnswer: -60*sqrt(19) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 0 - z**2 + 3*z + 3 - 4*z - 1. Let f(j) = j**2 + j. Suppose 0 = -4*w + 1 + 3. Determine w*n(l) - f(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 30*r**3 - 4*r**2 + 7*r - 6. Give y(3).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 449, 896, 1343, 1790, 2237, 2684?\n\"Answer: 447*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 2. Let y be k(-2). Let n(x) = 9*x**2 - 2*x + 1. Let u be n(y). Let i = -72 + u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537199, 1074382, 1611551, 2148706, 2685847, 3222974?\nAnswer: 3760087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 3:03 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y)**44*y**(-1\/5)\/y**(-1\/4)*(y\/(y*y*y\/((y\/y**1)\/y*y)))**(-2\/5)*(y**(-1\/4))**(7\/2) assuming y is positive.\nAnswer: y**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 3*k. Let i be z(-3). Suppose i*l - 4*l + 4*a + 24 = 0, 4*l + 6 = -2*a. Do l and 1\/22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 times -7.12\nAnswer: 462.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2200542186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20221 + 204?\nAnswer: 20425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1670*o - 3. Let b(x) = -1114*x + 2. Calculate -8*b(g) - 5*m(g).\nAnswer: 562*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0*t**2 + 0*t**3 + 0 - 1\/20*t**5 - 7*t + 1\/6*t**4. Find the third derivative of f(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*g + 182 = 0, 2 = 5*g + 7. Let s = 46 + x. Suppose 4*q - 4*d = -4, -3*q + 6*q - 15 = -3*d. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-204498259678)\/27814035249 - (-4)\/14. Let c = q + 5334\/587873. Let y = -3\/1502 - c. What is the common denominator of -115\/12 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30121841 (base 9) in base 2?\nAnswer: -110111000001000111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 15*l - 13. Let j be z(-16). Let f(r) = -r - 4. Let p be f(-10). Solve -p = -a + j*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 1. Let t be h(-1). Let s(v) = 649*v + 35. Is s(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 28*j - 107. Give p(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 112, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151613635 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -731*t**5\/5 + 899*t**2 + 1268. What is the second derivative of a(n) wrt n?\nAnswer: -8772*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11410742 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 323 + 8ab69?\nAnswer: 8ae8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i + 23. Let b(h) = 38*h - 116. Let y(o) = 22*a(o) + 4*b(o). Determine y(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 2 n when four letters picked without replacement from {h: 1, p: 10, r: 1, n: 5}.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/5 + 128*k**2\/5 - 2*k\/5 - 128\/5 = 0. What is k?\nAnswer: -64, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 174*o + 5771. Determine j(-131).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 6:43 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/7656 and 11\/256.\nAnswer: 244992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 9*n**2 - 10*n + 14. Let b be r(8). Let w(g) = 3*g**2 - 3*g. Let i be w(2). Sort b, 3, i in descending order.\nAnswer: i, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4082, 15645, 34704, 61259?\n\"Answer: 3748*t**2 + 319*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -225900 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c + 1 + 131*c**2 + 4*c + 2*c to the form n + l*c**2 + k*c and give l.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.0087635023, 1 in decreasing order.\nAnswer: 1, -0.0087635023, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 36193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -12*r + 600. Let a = r + -53. Let p = 10 - a. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 124545?\nAnswer: -124553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) 4\/7 (c) -6\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = t, h + t + 0 - 3 = 0. Calculate the smallest common multiple of (-145)\/(-29) - -9*(-19)\/(-1) and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 - 887*u - 880. Let p(s) = 12*s**2 - 1775*s - 1759. Let y(j) = -6*p(j) + 14*w(j). Factor y(n).\nAnswer: -2*(n + 1)*(n + 883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 7*u = -4*l - 16, -5*u - 4*l + 176 = 0. Calculate the remainder when u is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2400, -2331, -2262, -2193, -2124, -2055?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 2, -10, -2\/9, 1\/9, -26\/11?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 5)*(4*r - 2*r - 5*r)*((-4 + 2 + 3)*(-3 + 3 + 1) + 1 + 1 + 0) in the form x + z*r and give z.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and 0.0229133227875.\nAnswer: 0.0429133227875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502448.5 centimeters to kilometers.\nAnswer: 5.024485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/15*((-26233)\/(-925) - 28)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -66\/5, 1\/7, -101 in decreasing order.\nAnswer: 5, 1\/7, -66\/5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 2. Suppose 2 + 4 = 6*g. Let d be -6 - g\/((-3)\/9). Let h(q) = -3*q + 5. Give d*h(y) - 7*v(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - (-23 + 2)) + 11 + 31 - 6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -3\/8 (b) 2\/23 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9130234 decades in millennia?\nAnswer: 0.009130234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -23*u - 2. Does 41 divide c(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248\/(-4340)*(-77)\/22\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/344 - -24641\/3096. Find the common denominator of -167\/30 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + 55 - (-4 - (0 + 3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 14*k**2 - 33*k - 16. Let m be b(-11). Let q be 8\/6*((-40)\/m)\/5. Find f, given that -8\/3*f**3 - 2\/3*f**2 + 8\/3*f + q = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/12 - 2*i. Let n(y) be the first derivative of -25*y**3\/3 + 420. Determine d(n(l)).\nAnswer: -625*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*h + 6005, 2*p - 8*h = -3*h + 2399. List the prime factors of p.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0998 take away 1258.2051?\nAnswer: -1260.3049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 2907393155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 5 - 20*z + 4 - 67*z + 3*z.\nAnswer: -85*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 304219*i - 321229.\nAnswer: 304219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) -0.37 (c) -2 (d) -3 (e) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3057753800 to the nearest one hundred thousand.\nAnswer: -3057800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.10049 (c) 2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16746 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100100 (base 2) in base 8?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1982*o + 2051*o + 1794 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3*a = -5, a + 2651 = 2*q. Is 39 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(140)\/((sqrt(36) - sqrt(4))*4))\/(-3*(sqrt(112) + sqrt(112) + (sqrt(112) - (1*sqrt(112) + sqrt(112) - sqrt(112) - sqrt(112))))*5).\nAnswer: -sqrt(5)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 15*w**4 + 3 + 10*w**4 + 2*w**4 - 3*w**4 + (7*w - 34 + 34)*(-3*w**3 + 2*w**3 + 3*w**3) in the form v*w**4 + m*w + l*w**2 + j*w**3 + f and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 4*w**3 - w + 0*w**3 + 20*w**2 - 11 - w**3 - 4*w**2 to the form c + m*w**2 + p*w + l*w**3 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 4, -32, -68, -104?\n\"Answer: -36*t + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -407156 (base 9) to base 4.\nAnswer: -322330113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*b + 41, b = -t + 2*t - 42. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Suppose -8 = i*d - d. Let b(k) be the third derivative of -k**6\/120 - k**5\/20 + k**4\/24 + k**3\/3 + k**2. Calculate b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 941, 1879, 2813, 3743, 4669, 5591, 6509?\n\"Answer: -2*i**2 + 944*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -106ca3 (base 13) in base 4?\nAnswer: -1132121030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -1. Let x be (-6)\/b - (-1)\/3. Let l be (1\/(-6))\/(40\/72). Is x greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/18*-1*(-3619)\/(-3619).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 4. Let n be (14 - -6)\/(4\/10). Let a = 65 - n. Suppose 35 = a*u - 70. Determine l(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725513.97 less than -1721?\nAnswer: -3727234.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.01107 rounded to zero dps?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = 0, -3*m - f + 15 = 2*f. Suppose m*t - 144 = -0*t - 3*h, 3*h + 144 = 4*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101211220111111 (base 3) to base 15\nAnswer: -78d381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 227.6571 and 1.49?\nAnswer: 226.1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029505 is divided by 12402?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 454.5 to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, z: 1, f: 2, m: 2}. What is prob of sequence cz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 0*b + 0*b)*(-3402 - 3397 + 6798 - 7*b**2) + b**4 - b**4 - b**4.\nAnswer: 13*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 337, 678, 1167, 1810?\nAnswer: 2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 10:49 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 50*j + 568. Calculate g(-22).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2099*y - 2098*y = -8, -y = -t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39398250 divided by 157593?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2*0)\/(-2). Suppose o = g - 5*g + 3*l + 25, 2*l = -4*g + 10. Let n = -43 + 75. Calculate the greatest common divisor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*n - 220*n + 441*n - 1763 + 161.\nAnswer: 2*n - 1602","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3597 (base 16) in base 4?\nAnswer: -3112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76722160 rounded to the nearest 10000?\nAnswer: -76720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + -185 + 184.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -249.69063 to one decimal place.\nAnswer: -249.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)\/z**(-3))\/(z**2*z*z\/(z\/(z*z*z**7))) assuming z is positive.\nAnswer: z**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 7:02 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from ashashashk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ellvl. Give prob of picking 1 v and 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198*r**2 + r + 106.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 2*s - 11, 5*d + 0*s + 2*s = 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 7) + (0 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -7*a**4\/12 - 74*a**3\/3 + a**2 + 173*a. Determine m(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.87 - -6.03. Let a = 10.9 - p. What is the closest to -1\/5 in 0, a, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 2*q**7\/63 - 14*q**6\/45 + 11*q**5\/15 + q**4 + 1234*q**2. Suppose b(o) = 0. What is o?\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3)*b)**(-48)*(b**(-1\/2)*b)**(-2\/131))**24 assuming b is positive.\nAnswer: b**(-100632\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 86.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*l = -3350 + 3325, l = -3*g + 75 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19 (b) -711 (c) -958\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(c + 2*c - 5*c) - 11*c + 12*c - 27*c to k + g*c and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 3 + 47*t - 1 + 19 + 4.\nAnswer: 47*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -550, -549, -548, -547, -546, -545?\n\"Answer: m - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/15 (c) -0.273 (d) 62528\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 680 and 101509040?\nAnswer: 101509040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-2)*(-3)\/(-9). Suppose -12*w - 2 = -10*w. Let q be 3 + (22\/(-5) - w). Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 14*w**2 - 16*w - 40. Give n(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06105 (b) 0 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(245))\/sqrt(7))\/(sqrt(405) - sqrt(405)*2) + 2)*-2.\nAnswer: -4 + 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9798 is divided by 2430.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695549.\nAnswer: 137, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3594063 from -28330.\nAnswer: 3565733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9542595?\nAnswer: 3, 5, 29, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 9. Let s be v(-5). Let q(h) be the third derivative of 0*h - 1\/30*h**5 + 0*h**s + 3*h**2 + 0 + 0*h**3. Let a(g) = -2*g. Calculate q(a(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 7\/7352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t**2 - 6*t**2 + 16*t**2 - 38*t - 5*t**2 + 10 - 59. Let w be u(-11). Solve 0 = w*o + 28 - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, -7, 0.2, -0.1, 83\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*v - d, 8*d - 13 = -4*v + 5*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 5*l - 4. Let b be t(6). Let m be 2 + 4 - (b + 1). What is the second derivative of -2*r + r - m*r**2 + r**2 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b**2. Let j(r) = -7*r + 22*r + 32*r - 9*r. What is j(w(s))?\nAnswer: 380*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/10*(-20)\/(-8). Suppose 0 = -4*j - 4, -j + 2 = -z + 3. List the prime factors of -19*(i\/(-2) + z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*x = 3 - 6, -3*t + 3 = x. Let n = 1 - -4. Let a be 2\/t*30\/n. What is the highest common factor of 24 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0755565 * -3\nAnswer: 0.2266695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2))**(-13)\/(l**(-2))**6)**(-3\/2))**(2\/73) assuming l is positive.\nAnswer: l**(-114\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f + 3. Let y(v) = -v**3 - 12*v**2 - 11*v + 2. Let w be y(-11). Suppose w*d + 5 = -7. Is l(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(486) - sqrt(486))*4)\/(sqrt(6)\/sqrt(32) - (sqrt(192)\/sqrt(4) - sqrt(3))) + -4.\nAnswer: -4 + 432*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 2*i + 2. Let c be l(4). Suppose -t - t + c = 0. Calculate the highest common divisor of t and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/2)\/((192\/(-2))\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/12? (a) -92 (b) 1 (c) -23 (d) 17\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -915998 - 330.\nAnswer: -916328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + i = -0*i - 2, y + i - 6 = 0. Suppose 0*a = -y*g - 5*a + 364, 3*g - 4*a = 304. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 109676 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -349962.\nAnswer: -174981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 228 - 34)*(11*q - 11*q + 4 + q**2) + q**2 - 5*q**2 + 5*q**2 to o*q + j*q**2 + y and give y.\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 14. What is the smallest common multiple of 10 and a(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13913664 and 6956832.\nAnswer: 13913664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -381*s + 755*s - 18 - 375*s as y*s + c and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 539477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 - -32?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 87*x**2 - 63*x - 221. What is z(43)?\nAnswer: -1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 14*x + 17*x - 377 = 0, p = -3*x + 187. Let r = p + -186. Suppose 0 = 2*u + 3*z - 12, u = z - 0*z + 1. Solve 9 + u = -r*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3 (c) -262598 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 32*u - 105. What is a(-9)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**5\/5 + 39*h**4\/4 + 319*h**3\/3 - 759*h**2\/2 + 400*h - 12026. Factor p(y).\nAnswer: (y - 1)**2*(y + 16)*(y + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.232 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 6*n + 128. Give i(0).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*o + 1857, -8*o - 7 = -7*o. Which is the fifth biggest value? (a) 0 (b) -4 (c) 3\/4 (d) v (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4526, -71506, -253304, -607328, -1190986, -2061686, -3276836, -4893844?\n\"Answer: -9568*s**3 - s**2 - s + 5044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230 + 11*u**5 - 230 + 6*u**2 - u**2 wrt u?\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Let r be 1 - (-1 - j)\/1. Differentiate 4*f - r*f + f - 3 with respect to f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698006138 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/8 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*z = -70*z + 7832. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 50) + (-1 - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i - 3*i)*(-4*i + 3*i - 4*i) + i**2 - 2*i + 2*i + 2*i**2 + 4*i**2 - 4*i**2 + (i + i - 4*i)*(-4*i + 2*i + 0*i).\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8106151 - -2004.\nAnswer: 8108155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -761 - -1b052?\nAnswer: 1a4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 698 (b) -4 (c) -11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*j**2 + 44*j**2 + 18*j**2 + 1 - 1 - 2*j**2 + (-j**2 + 2*j**2 - 3*j**2)*(-2 + 3 - 2) + j + j**2 - j.\nAnswer: 154*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4609.\nAnswer: -2\/4609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-22)*(-1)\/3*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/(-2100)*(-36)\/(-32))\/(-3 - 33\/(-12))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*l + 28, l - 11 + 31 = 4*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*t**4 + 1195*t**3 - t**2 - 76490*t - 2 wrt t.\nAnswer: -684*t**2 + 7170*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 10 = -5*a. Let j be (-8)\/20 + 2\/a. Find the third derivative of j*s**2 + 3*s**3 + 2*s**2 - 4*s**3 + 2*s**3 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21362670 a multiple of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = g + 6 - 16, -4*g = 5*a - 28. Solve 0*d + g*d - 1 = -3*l, -l + 11 = -2*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - 0.25. Let j = 1.2 + q. Is 1 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/9))**(-1\/30)*r**(-7)*r**(-8) assuming r is positive.\nAnswer: r**(-4057\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 691878*h**3 - 1153654*h.\nAnswer: 4151268*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -122, -221, -330, -443, -554, -657, -746?\n\"Answer: z**3 - 11*z**2 - 73*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*i = 0, 0 = 4*x - 4*i - 4 - 24. Let y(o) = -2*o + 2*o - 28*o**2 + 1 + 31*o**2. Let t be y(-1). Solve 3*q - q = a - x, -2*q = -t*a - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 1218884160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930.1835 less than 63395?\nAnswer: 65325.1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*m - 226*m - 3476 = -163*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d. Let u(z) = -z**2 - 33*z + 36. Let y be u(-34). Let r(n) = -71*n**2 - 82*n**y + 160*n**2. Give r(v(c)).\nAnswer: 2023*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -370604687\/175 + 2117732. Let l = -9\/25 + g. Let b = -611\/70 - l. Calculate the common denominator of 28\/5 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -21*z + 3. Let m be x(-3). Suppose 0 = -7*j - m + 276. Calculate the remainder when 88 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096850806 divided by 1?\nAnswer: 1096850806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 19*v - 21. Let n be s(-18). Let k(d) = -d - 1. Let w(o) = -2*o - 5. What is n*k(p) + w(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 26*j**2 - 4*j + 4. Let d(m) = -26*m**2 + 5*m - 5. Let l(u) = 4*d(u) + 5*q(u). Let w(z) = -3*z. Give w(l(k)).\nAnswer: -78*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7767008*i**2 + 6099155*i?\nAnswer: -15534016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2048585 and -0.1.\nAnswer: 204858.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6165981743 rounded to the nearest one million?\nAnswer: 6166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6062 - -6060.4. Let g = -1.3 + -0.7. Which is the second smallest value? (a) 0.5 (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 times -0.3?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 126 (b) 4206342 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**3 - 4*q**2 - 93*q + 4. Let h(z) = -4*z**3 - 3*z**2 - 90*z + 3. Determine -4*h(r) + 3*m(r).\nAnswer: r**3 + 81*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -82 + 88 + (0 - 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m. Suppose -4*y + 5*n + 412 = 0, 5*y - n - 552 = -4*n. Let a(c) = 4*c - 22. Let s be a(6). Let x(q) = 2*q - y*q**2 + 107*q**2 - s*q. Give r(x(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 5)*(-3*q**3 + 0*q**3 + 2*q**3) + (-2*q - 7 + 7)*(2 - 2 - 2*q)*(6*q - 3*q - 2*q) as b*q**3 + y + f*q + k*q**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -353*r**2 + 21885*r + 56. What is y(62)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 6*s - 4*s)*(-2 - 1 + 1) - 2 + 2 - s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2965*d - 2959*d - 25 = 2*l - 5*l - 2*l, 2*d + 5*l - 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177 is divided by 119.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 22 - 29. Sort o, 18, 3, 0.\nAnswer: o, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6927 + -3552. Suppose 15*l - 40*l = t. What is l rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12714789 and 166953.\nAnswer: 241580991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 148260 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 19493000 to the nearest one hundred thousand.\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32 - -0.12. Suppose 0*w - 2*w + 8 = 0. Let o = -0.37 - 0.03. What is the second smallest value in o, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 85. Let a(f) = 5 - 7*f - 5*f**2 + 7*f**2 - 3*f**2. What is the remainder when x is divided by a(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 4*p - 8, -2*p - 10 = j + 3*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 6*i + 1. Let m(k) = -k**3. What is 3*m(z) - x(z)?\nAnswer: -2*z**3 - 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7420*u**2 - 10*u - 10. Let t be v(-1). Do t and -7421 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -219\/4 + 55. Let t be 2 - 2*8\/6. Is t greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/2752)\/((2\/(-8))\/(24\/(-32)))?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 51 + 33 + 19)*(5*o + 0*o + 7*o) to s*o + h and give s.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27635 - -27630. Let r = -5 - -8. Put c, 44, r in decreasing order.\nAnswer: 44, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -823 - -1206. Suppose -4*x + q = 3*n, 3*x + 254 = 2*n + 6*x. What are the prime factors of n?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.43 + -3.57. What is the nearest to -2 in 0.1, 8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 10*f + 3. Give z(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 2)*(0 - 2 + 0 + a)*(349*a**2 - 357*a**3 - 349*a**2) to the form n*a**2 + x + j*a**3 + f*a + v*a**4 and give v.\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2375 divided by 4.\nAnswer: -2375\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 89490 divided by 17898\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -6*l - 202. Let i be l\/28 + (-3)\/(-12). Factor 2\/9*v**5 + 0*v**3 - 2\/3*v**4 + i*v + 8\/9*v**2 + 0.\nAnswer: 2*v**2*(v - 2)**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.745825555 to four decimal places.\nAnswer: 0.7458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5567 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - j - 175 = 0, 3*j = -3*v + 5*v - 173. Is 3 a factor of 2\/(-16) - (-1067)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4584657 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*p - 61 - 176*p + 47*p + 27*p wrt p?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 1. Let w be g(-1). Suppose -4 = -2*o + 2*b, -5*o + 12 = w*b - 5. Suppose o*v + 2 = 14. Solve -1 = -v*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*i + 85*i + 24*i - 3 - 154*i - 120*i to the form j*i + r and give j.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 137*p**2 - 20*p - 2695. Give k(-137).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (-22 + 20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*r - 17446 = -356*r + 1012*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-5) + 4959\/(-12760))\/2 and -79\/10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 773 + 2*u**2 - u - 1538 + 3537*u**3 + 767 to the form b + s*u**3 + f*u + i*u**2 and give s.\nAnswer: 3537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.5 (b) -5 (c) 0.2 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*l**2*q - 213*k**2*l**2*v + 12*k**2*l**2 - 2*k**2*v + 18*k*l**2*q + k*q*v + 2*k*q + l**2*q with respect to v.\nAnswer: -213*k**2*l**2 - 2*k**2 + k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 18 - 10 = 47*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348865, 348819, 348773, 348727, 348681?\nAnswer: 348635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/8? (a) -2\/3 (b) -2 (c) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + g. Let q(y) = -y**2 + 14*y + 1. Let o be (2\/(-8))\/(2\/(-8)). Let p(x) = o*q(x) - 2*u(x). List the prime factors of p(-16).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7059.368 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 195409*a. Let f(j) = 3*j - 61. What is f(k(r))?\nAnswer: 586227*r - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/4)\/(2\/8). Let c be 0 + 2 - 1*l. Let g(h) = 22*h + h**2 - 12*h - 10*h - 8 - 6*h. Calculate g(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a817 (base 15) to base 3.\nAnswer: 10012200110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 - 12 = -2*n, -4*n + 35 = -5*g. Calculate the remainder when 42 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/5)*b)**36*b**(-8)\/(b\/(b*b**7)) assuming b is positive.\nAnswer: b**(427\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0) + 9 - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/70 (b) 15\/8 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.822 - -6.8. Let g = 0.022000082 + o. What is g rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8399468000 rounded to the nearest 1000000?\nAnswer: 8399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*6*29\/(-348).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 8089.\nAnswer: 4\/8089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1)\/n))**(-28)\/(((n*n**(2\/13)*n)\/n)\/((n*n**(-4)\/n)\/n))*(n**(-2)*n**0)**(-44) assuming n is positive.\nAnswer: n**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u + 9. Let z be b(3). Let f be z\/(-9)*18\/4. Find the third derivative of -2*i**6 - 13*i**2 + 0*i**f - 9*i**6 wrt i.\nAnswer: -1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*t**3*u**3 - t**3 - 161*t**2*u**2 - 2*t*u**3 wrt u?\nAnswer: 576*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 5*h**2 + 2*h - 5. Let p be n(4). Let z be -4 + ((-294)\/9)\/(-7). Which is the closest to 1? (a) 4\/7 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (-4*(0 + sqrt(128)))**2.\nAnswer: 8*sqrt(2) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (259\/(-49) - -2). Let h be 36\/14 - 9*(-8)\/(-36). Solve -w*y**2 + 0 + h*y = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i + 115 = -3*w, -i - 2*w - 30 = 0. Is 5 a factor of (-1)\/4 - 505\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 53 - 57 = 0. Suppose m*g - 13 = 5*g + 5*s, 5*g = -s + 15. Suppose -2*n - 8 = -2*f, g + 0 = -2*n. Solve 3*o - 7 = f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 796864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {g: 3, j: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*o - 140 = 0, -3*j + 2*o + 2*o = -70. Suppose 2*i - 13 = -1. What is the lowest common multiple of i and 185\/j - 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007555360196 rounded to 7 decimal places?\nAnswer: 0.0007555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/((-4)\/219)*(-4)\/(-3)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 4. Let z be g(-6). Let w(l) = -l**3 + 2*l - 1. Let b be w(-4). What is the greatest common divisor of z and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 32*q**3 - 222*q**2 + 544*q - 289.\nAnswer: -(q - 1)**2*(q + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0abb (base 12) in base 16?\nAnswer: -3812f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7686 - 69070\/9. Suppose -n - 15 = 5*d - 84, -4*d + 60 = 2*n. Is b bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (2 + 17) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -45*h. Let n be w(1). Let y = -43 - n. Let f = 28 + -25. Solve f + 5 = -y*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14481\/4 - 3597. Let j be 55698\/(-194894) - (-6)\/21. Let v = 821317\/306262 - j. Calculate the common denominator of v and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1242 and -27\/22.\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**3\/3 - 4*y**2 - 11*y - 12. Let p be v(-3). Solve -2*t - p*z + z = -9, -5*t - 3*z = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/(-8)*136\/(-1768). Suppose -12 = 4*n + 4*l, 2*n - 5*l - 14 = -3*l. Let -o*m**n - 3\/2 - 5\/4*m = 0. Calculate m.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41328 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/6 + 3783527*h**3\/6 + 1192921154879*h**2\/2 - 10736316878615*h\/6 + 3578774815225\/3 = 0.\nAnswer: -1891765, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109158?\nAnswer: 2, 3, 7, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-64)\/(-14))*-7. Solve d + m*w - 25 = 0, 2*d + w - 15 = -0*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*o + 4*f - 47 = 0, 248*o - 3 = 251*o - 2*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) - (-8)\/6. Suppose -n + 15 = h*n. Suppose 5*f + 2*p = -0*p + 249, -n*f = -4*p - 237. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/7 - 14538*t**2\/7 + 2077*t = 0. What is t?\nAnswer: -14539, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6218202 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102011 and -1.1?\nAnswer: -112212.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2217355504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -12*g + 4. Let t(b) = 11*b - 5. Let o(q) = 5*r(q) + 4*t(q). Does 12 divide o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*j**2 - 5*j**3 + 7*j**3 - 644*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/16)\/(-32)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -12*m - 37*m - 768 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 1475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*3)\/(5\/20*-3). Suppose -t - 4*t + h - 25 = 0, 0 = -4*t + u*h - 36. Let o(r) = -r - 6. Let b be o(-7). Sort 5, t, b in increasing order.\nAnswer: t, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Suppose -l - 173 = -c, 6 = 5*c - 14. Let x = 1186\/7 + l. What is the smallest value in x, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 39*q - 72. Let s be l(6). Let o = s - 162. Let v = -0.01 - -14.01. Which is the biggest value? (a) -2 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-24)*3)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46639890 divided by 5?\nAnswer: 9327978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(931) + -1 + (sqrt(931)*-1*-2)**2.\nAnswer: 7*sqrt(19) + 3723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/10*(-20)\/8. Factor 0*g**s - 3\/5*g**4 + 0*g + 0 - 3\/5*g**3.\nAnswer: -3*g**3*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 898308 (base 14) in base 5?\nAnswer: 2143432014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 21303944.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 37897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 - 342230128*y\/5 - 29280365127724096\/5.\nAnswer: -(y + 171115064)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -172 - 39*t + 88 + 140*t wrt t?\nAnswer: 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54200)\/5984 + 8 + 8. Let c = b + -175\/34. Find the common denominator of 13\/24 and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 118. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/66*180\/50\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -4*f + 3*s + 60, -3*f + s = -41. Suppose 3*a + r + 3 = f, -2*a = 2*r - 2. Solve 5*i = -a*m + 10, i + m - 6 = -4*m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {j: 4, h: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 1.2. What is f rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 12) to base 10\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 2*d**2 - 2. Let f(v) = 5*v**3 - 9*v**2 + v + 9. Calculate -2*f(u) - 9*l(u).\nAnswer: -u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12180546, -24361087, -36541628, -48722169, -60902710, -73083251?\nAnswer: -85263792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 41. Suppose 5*s + 3*a - 1 = 0, 2*s - t = a + 4*a. Let h(d) = 4*d**3 + 3*d**2 - 3*d. Is 13 a factor of h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45517585 divided by -5?\nAnswer: 9103517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 26*v**7\/49 - 548*v**6\/15 + 341*v**5\/35 + 14*v**4\/3 + 160*v - 8. Suppose d(a) = 0. Calculate a.\nAnswer: -2\/13, 0, 1\/3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1037*l. Let i(o) = 61*o**2 + 7*o + 2. Calculate i(d(u)).\nAnswer: 65597509*u**2 - 7259*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-22)*7*(-18)\/17577)\/(20\/(-45))\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 3.0943 (c) -19\/6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/24*((-5250)\/(-35))\/50?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5219443, 5219271, 5219097, 5218921, 5218743, 5218563, 5218381?\nAnswer: 5218197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -502810 or -9553380\/19?\nAnswer: -9553380\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -1.431089.\nAnswer: -0.431089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.101*-1089\nAnswer: -109.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-19)\/(11913\/22).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1aa + 5?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6007 + -1.6. What is q rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**3 + 9*l**2 + 19*l + 11. What is h(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -48 - 339. Let x = t + -29. Calculate the remainder when x is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - t + 4*t = 0, 0 = -3*m - 3*t. Suppose 4*w + 3*g = 9, -4*w + 3*g - 2 + 17 = m. Factor d + 20 + d**w - 3*d**3 - 20 - d**2.\nAnswer: -d*(d + 1)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**2 + 33987*d**3 + 92177*d**3 + 19030*d**3 - 19*d**2.\nAnswer: 145194*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542 + 578 = 6*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -43, -4, 374?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 79 - (2 + 3\/(-3)). Let g = -103 + 55. Let u = k + g. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2544778263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = 5*b. Suppose -b*s = 6 - 39. Calculate the remainder when (-2)\/s - (-1020)\/44 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-15)*(-81 + 0). Let v = -23 + i. What is the tens digit of 37 + -2*(v - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.2 (c) 1\/3 (d) 1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*-2*(4\/1)\/(-80)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261320240*s**4 - 12*s**2 + 19503182.\nAnswer: -6271685760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344) + sqrt(1344)*-1)*1)\/(1*1*sqrt(21)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 17688 = -8*f. Suppose -7*s = -3*s - f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.5. Let l = 6628.53 - 6661. Let p = 0.53 - l. Is p at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11437*j - 4909 + 18890 = -13394 - 6936 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**4\/6 + 30*a + 32. Let m(n) be the first derivative of i(n). Let j(f) = -14*f**2. Calculate m(j(r)).\nAnswer: -392*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4367 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 10*s**2 - 2*s + 5. What is m(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**4 - 18*m**3 + 7*m + 12380 wrt m?\nAnswer: -8*m**3 - 54*m**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -537*j + 538*j + 9, 0 = -4*x - 9*j - 3 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 4*w**3 + 7*w**3 + 0*w**3 + 0*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -2. Let z = h - -23. Suppose -2*v = -z*v + 315. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -224*s + 1335. Calculate m(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 4*d**2 - 3*d + 8. Let j be i(-5). What is the remainder when 14 + 26 + j + 1 is divided by (1 - -1)\/1 - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*j = -2, 9*w - 6*w + 4 = 5*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37217 - -37220.9408. Round p to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 10*x - 296. Solve -6 = -4*f - x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 12*h + 13. Is g(9) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152547 is divided by 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:54 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2736)*3)*-4 + 0 + sqrt(2736) + -1 + (sqrt(2736) - -3*(sqrt(2736) + 0 - sqrt(2736))))**2*-2 + 4.\nAnswer: -547534 - 6240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 327.54206 + 99.09824. Let t = -213.6229 + z. Let r = -213 + t. Round r to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/54 and 17\/114882?\nAnswer: 1033938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/14408 and -58\/81045.\nAnswer: 648360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 175\/(-30) - 1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 123008.\nAnswer: 1107072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -1, 48, 149, 320, 579, 944?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, -4\/153, 1\/2.\nAnswer: -2\/49, -4\/153, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -427 - 1451*f**2 + 427 + (-1 + 1 + 2*f)*(-1 + 1 + 2*f) in the form r*f + c + h*f**2 and give h.\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -99937?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5076 - 5075. Let q = 11\/24 + -1\/12. Let v = -0.05 - 3.95. Which is the second smallest value? (a) v (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31c4 - -21c?\nAnswer: -2ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-750)*-20*(-3)\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*g + 6015677 + 4321258 - 2331125 = 0. What is g rounded to the nearest one thousand?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34677683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r**2 + r**2)*(-14*r + 9*r + 3*r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12613.\nAnswer: 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -1\/5099 (b) -3 (c) 1 (d) -0.1 (e) -4 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 55751.2 years?\nAnswer: 55.7512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195646113 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*d + 605, 7*d - 4*j = 2*d + 615. Suppose 0 = 3*y - h - 0*h - 350, y = -2*h + d. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44aa874 (base 11) in base 4?\nAnswer: -132012210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 97*b**2 + 195*b + 293\/3.\nAnswer: -(b - 293)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 93\/(-279) - (2 + 58\/(-12))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 33 - 9. Let n = -41 - -58. Let h = n + x. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217100 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -370094 divided by -422?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.106 + 6.206. Let o = -16209 + 16213. Which is the third smallest value? (a) o (b) x (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*k = 161*k - 705 + 2766 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220046043 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(8\/(-6)))\/(12\/4). Which is the nearest to p? (a) -4 (b) -11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) 2\/9 (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5233755535.\nAnswer: 5, 43, 24343049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -14, 3, -3, 2 in ascending order.\nAnswer: -15, -14, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u - 1 = -17*u. Let l be u\/3*9*1. Which is the nearest to -0.2? (a) 0.2 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 8*c**2 + 31*c + 4. Let f be d(-11). Suppose -158 = -f*i - 54. Solve 0 = -2*o + 3*p, 2*p = -0*o + i*o - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 9. Calculate a(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 17*o = -20*o - 47, -3*f = 5*o - 28. Suppose -f*i - 6 = -28. Solve v - 4 = -3*r - v, i = -4*r + v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3\/3 + 350*f**2 + 526*f\/3 = 0. Calculate f.\nAnswer: -1\/2, 0, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 - 4*l. Let a(o) = -5*o**2 - 2*o. Let w = -1 - 2. What is w*k(q) + 5*a(q)?\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12436112 and 3348184.\nAnswer: 87052784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 5*o + 52, 382*w = 405*w + 3*o + 76 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 76939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -7 + 12 + -4. List the prime factors of (n*(-4)\/(-6))\/(118\/(-138591)).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 t when four letters picked without replacement from {t: 6, f: 2, x: 2, w: 6, j: 3}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - 0.28. Let j = -272666 - -272665.699991. Let s = j - g. Round s to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 12*g + 3*m + 2735, -m - 2737 = -2*g. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.04 - -0.04. Let u = -6.2 - o. What is the smallest value in 0.3, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8403188.9 rounded to the nearest 1000?\nAnswer: 8403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p + 3 - 1)*(42 + 11 - 14)*(6 - 8 - 4).\nAnswer: -234*p - 468","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-8 - -4 - -10 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 103, 159, 211, 259?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158707625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188449 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4 - 2. Let r = 3 - -13. Suppose -4*y = -8*y + r. Calculate the remainder when y is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b - a = -57*b - 3, 4*a = 4*b + 12. Let y(w) = -w**3 + w**2 - 2*w - 20. Determine y(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - d. Let r be h(-1). Solve -4*u = -5*q + 12, -5*u = 2*q - r*q + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 + 13*d - 13. Let w(a) = -5*a**2 + 14*a - 12. Let s(i) = -4*p(i) + 3*w(i). Is s(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 85171?\nAnswer: -85170.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 2, f: 1, w: 1, u: 1}. Give prob of sequence pk.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164178 and 1008?\nAnswer: 1313424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/17, 62086, 4 in decreasing order.\nAnswer: 62086, 4, 7\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 - 25*v**2 + 27*v - 26. Calculate p(-15).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.8+13.492\nAnswer: 16.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*w - 20 = 0, -3 = f + 2*w - 11. Let o = 9 + f. Suppose p = -n - 4*p - o, 0 = -5*n - 4*p - 3. What is the closest to -1\/3 in n, 8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11183837 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d + 98 = -7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8851392 a multiple of 1143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 682 and 63702.\nAnswer: 21722382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214.8 - -215. Which is the biggest value? (a) -5 (b) -3\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 16*d + 40. Suppose 7*v - 32 = -95. What is the units digit of k(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1333 and 15.\nAnswer: 19995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d**2 - 362*d - 1452. Calculate a(-4).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/77 and -19\/2429?\nAnswer: 26719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 85 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3717, -7422, -11127, -14832, -18537?\n\"Answer: -3705*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.105638 * -0.002.\nAnswer: -0.000211276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2 - 14*i - 8*i + 6 + 21*i. Let y be w(6). Suppose y*z + 62 = 4*s - 32, 5*s = 4*z + 125. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -451 - -762. Let y = -482.4 + n. Round y to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3783723 or 3783870?\nAnswer: 3783723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -9.1 (b) 1 (c) -727 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let q(z) = 30*z**2 - 25*z + 25. Let t(b) = b**2 - b + 1. Let i(c) = -q(c) + 25*t(c). What is 6*i(o) + 26*u(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-2))\/(-2)*101. Let y = -2 - p. Calculate the greatest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 61\/2*w**3 - 63*w - 2 - 133*w**2. Differentiate y(m) with respect to m.\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 135.069 and -0.96?\nAnswer: -129.66624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 363, 402, 425, 414, 351, 218?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 6*d - 10 = 0. Is 255\/20 + d\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1. Let x(u) = u + 2. Let d(v) = -v**3 + v**2 + v - 1. Let z be d(0). Let y(n) = z*x(n) + 2*i(n). Let j(c) = -2*c. Calculate j(y(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586940496 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Suppose -5*c + 5*f = b, -4*c + f - 3*f = -24. Suppose -c*a = a - 195. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183442732 is divided by 8338306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 - 76*n - 84. Let x(z) = -z**2 - 10*z - 5. What is the remainder when l(-10) is divided by x(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. Let g be (1\/y - 2)*0. Suppose 4*t = -c + 20, 0 = 3*t - 9 - g. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*h**4\/11 + 1510*h**3\/11 - 252*h**2 + 1352*h\/11 + 496\/11 = 0.\nAnswer: -31\/131, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333938, 333938, 333930, 333908, 333866, 333798?\nAnswer: 333698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -28?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(750)*-2)\/(sqrt(12)\/sqrt(32)).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.76 + -94.19\nAnswer: -93.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*u + u. Solve 2*f - 2 = -u*p, -12 = -6*p + 2*p - 2*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 95*w + 578. Calculate the remainder when 587 is divided by g(-100).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43647379\/10 equal to 4364738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -49256337 + 22640*f + 49256337 as h*f + s and give h.\nAnswer: 22640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 14*h + 63. Solve -h + 2 = 17*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -27*p + 26. Let f(x) = -10*x + 9. What is 17*f(c) - 6*m(c)?\nAnswer: -8*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*w - 29, -5*w - 13 = 66*q - 67*q. Let n be (-2)\/((-1)\/1) + 0. Suppose n*x + 1 = -5. Sort x, q, 0 in ascending order.\nAnswer: q, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -2 - 7 - (-1624)\/28. Suppose 0 = 57*i - l*i - 95. Solve -i*n + 52 = -6*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 217*l**2*r**2*s + 7*l**2*r**2 - 2*l**2*s - l*r*s + l*r + 2*l*s - 4*r**2*s + 52*r*s wrt l.\nAnswer: 434*r**2*s + 14*r**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4339.901 days?\nAnswer: 374967446400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 225.29 * 1.9\nAnswer: 428.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 2495*x - 20910 - 20906 - 20914 + 62730 to b*x + i + t*x**2 and give b.\nAnswer: -2495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (1 - 3) + (-30 - -4) + -146 + 117.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20586\/(-756) + 27 - (-1)\/(14\/4).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 173026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 20*y**3 - 2*y + 1. Let t be k(1). Solve 0 = -3*r - t + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.005, -0.8 in decreasing order.\nAnswer: 4, -0.005, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 - -81.628.\nAnswer: 83.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 4*(-5)\/1. Let l = s + -9. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(27))**2 + sqrt(48)*-1 - 6*(2*sqrt(243) + -5 + sqrt(3)*-1))*-4.\nAnswer: -244 + 472*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - -2. What is the remainder when (-544*65\/(-4160))\/(-1*(-2)\/12) is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, s: 2, j: 2}. Give prob of picking 1 q and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 60 = -8*h. What is the first derivative of 4*n - 8*n + h*n**4 + 4*n - 9 wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/14 + -107\/210. Are r and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 159*z**2 - z - 3. Let n be l(3). Suppose -3*s = -8*s + n. Find the common denominator of 44\/(-11) + s\/(-36) and -43\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4297585343?\nAnswer: 107, 40164349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*n - 120813, 30 = -155*n + 150*n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*14*((-22)\/11)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m\/m**(1\/4)*m**(-5)*m**(-7))\/(m**(2\/13)*m**(-5)\/m*m*m**(-5)*m**(-8)*m) assuming m is positive.\nAnswer: m**(343\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - 32*b + 24. Let r be v(-11). Solve t + 14 = r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-62)\/12). Let f = -15.1 - -15. Put -3, a, f in descending order.\nAnswer: a, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5980842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/136 and 17\/18?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 327 and 17531?\nAnswer: 5732637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 3. Let u be w(4). Let c(b) = b**3 - 5*b**2 + 5*b - 2. Let d be c(3). Let l = u - d. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.6476 - -0.0524. Round o to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168)*2)\/sqrt(3)*4)\/(sqrt(64)\/(sqrt(8) - (sqrt(200) - (sqrt(200) + -2*sqrt(200))))))**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 644, -0.1, 0.5, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (sqrt(88)\/(sqrt(64)*-2 - sqrt(4)))\/(5*(sqrt(2)*1 - sqrt(2)) - sqrt(2) - 2*sqrt(72)))*1.\nAnswer: -3 + sqrt(11)\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 249*j**2 - 2136*j + 4368.\nAnswer: 3*(j - 4)**2*(j + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3)\/((-5)\/10). Let v be 28\/(-126)*(-6)\/o. Let g = 1587\/5 + -317. What is the third smallest value in v, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.4 (b) 706 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681 + 5 = 52*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 108750.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 3*n - 1494 + 1492, -5*w = 4*n - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h - 563 + 292 + 271.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334557695.\nAnswer: 5, 66911539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*j - 413 + 395 = 0, -3*j = 7*y + 54 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.168 + 0.065. Let u = z - -0.103. What is the nearest to 4 in -2\/11, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 7 = -3*a + 4, -2*x - 4*a = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let s(a) = 61*a + 1157. Let h(f) = -20*f - 3. Let y(k) = -3*h(k) - s(k). What is b(y(o))?\nAnswer: 2*o + 2296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 18. Let f(y) = 7*y + 33. Let j(b) = -4*f(b) + 7*q(b). Let k(w) = 6*w + 5. Let g(m) = -2*m - 4. Let v be g(-4). Give v*k(u) + 3*j(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 + 1111?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Is (-294)\/(-5) - a\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9750673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from zlrllrlzlrlrs?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/1135115 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(((-4 + sqrt(32))**2 - sqrt(2)) + sqrt(2)) - (3 + (sqrt(2) + 1 - sqrt(2)) + -4*sqrt(8)\/sqrt(4)))*-6.\nAnswer: -1680 + 1104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/40*-8*1\/(-2)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let i(h) = -8 + 0*h**2 + h + 5*h**2 + 7*h. Let t(q) = 3*q**2 + 5*q - 5. Let u be 33\/(-4) - (-2)\/8. Let o(l) = u*t(l) + 5*i(l). What is m(o(p))?\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/203 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32962614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-16)*135\/3465)\/(3\/8)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -94. Solve -4*k + 2 = -g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 14*r + 16. Let i be x(13). Let q = 3.7 + -1.8. Let w = q - 2. What is the biggest value in -2\/7, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 14*g**2 - 14*g - 14. Calculate h(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-100)\/15 - -7 - (-502)\/(-3). Which is smaller: -166 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -2\/17, -4\/161, -0.1, -63, -12?\nAnswer: -4\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(0 + 102)*7\/14 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*106)\/((-16)\/(-1672)*11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 + 225 = 44*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 2*w + 2*w)*(5*w**3 + 0*w**3 + 3*w**3) to the form t + z*w + o*w**2 + c*w**4 + y*w**3 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/6 - (0 + -1). Suppose -4*s + 3*d - 75 = o, -4*s - 37 + 2 = 5*d. Let g = 14 - s. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/75 + -1\/25. Let u be 3 + 1 - (-64)\/(-20). What is the biggest value in 0.1, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:11 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 19*i - 72. Let t(k) = k**3 + 4*k**2 - 7*k + 4. Let o be t(-6). Let z = i - o. 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 -76*a**3 - 2932*a**2 + 2781840*a.\nAnswer: -4*a*(a - 173)*(19*a + 4020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 10 = 4*s, -20*s - 4*t = -18*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**3 - 2*d**3 + 0*d**3)*(-3 + 3 - d) + 558 - d**4 + 3*d**4 + d - 556 + 4*d**3 in the form m*d + p*d**3 + h*d**4 + z + s*d**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/135)\/(10\/(-90))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*u = 134, 59*u = -3*l + 60*u + 187. Suppose -3*g = -13 - 2. Calculate the remainder when l is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 7*h = 22. Suppose -h*m = -12*m. Solve -40 = 5*b + 5*j, -3*j = -b - m*j + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 + 358. Let h be ((-1)\/2*j)\/(-1). Suppose 0*m = -m + 3*x + h, -x + 45 = m. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3875 - -3872. Let t(f) = -4*f + 9. Give t(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000322261533 to seven dps.\nAnswer: 0.0003223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 92?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - a**4 - 3*a**3)*(5*a + 10*a - 21*a) + (4*a**3 - 5*a**3 - a**3)*(-a + a + 2*a**2).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*l - 37 - 108 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t**3 - 6*t**2 + 7*t + 15. Let u(s) = 6*s**3 - 3*s**2 + 4*s + 6. Calculate 2*d(n) - 5*u(n).\nAnswer: -8*n**3 + 3*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 165?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t**2*u**2 - 61684*t**2*u + 3*t*u**2 - t*u + 4*t - 174*u**2 - 2 wrt t?\nAnswer: 10*u**2 - 123368*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -308, -1051, -2520, -4961?\nAnswer: -8620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44389*c + 2*q - 74 = 44392*c, c + 5*q = 168 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.049, -26, -1, -4?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 262 (base 12) to base 10\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/(-2))\/15)\/((-3)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(0 - 2*u + 0)*(u**3 + 109*u + 118*u - 228*u + 720*u**2).\nAnswer: -12*u**4 - 8640*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/9, 5, -57, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 less than or equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1571\/16 bigger than -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 4*f + 4. Let k be g(2). Let v be (k*1\/(-15))\/((-2)\/(-35)). Which is bigger: v or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-121)\/((-34485)\/684))\/((-8)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -23 - 13. Suppose -4*k - 270 = -w*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(5 + (-56)\/8). Which is smaller: a or 0.6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 15*w - 480 = 0. Let v be (w\/(-56))\/(2\/(-7)). Suppose 720 = v*f - 320. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) + -1*sqrt(105)*-1)\/(sqrt(5) - (sqrt(180)*-1 + sqrt(180) - sqrt(180))))\/((sqrt(108)\/sqrt(3))\/sqrt(12) - (sqrt(108)*-3 + sqrt(3))).\nAnswer: sqrt(7)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eymuyyyyduym. What is prob of picking 1 u, 1 m, 1 e, and 1 y?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k**3 + 4*k**2 + 6*k + 2. Let a be g(-1). Solve -2*h - 5*h + a = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = -8. Suppose j*l = 4*z, 5*z - l + 1 = 3*l. Let y be 1\/2*4\/(-10). Is z > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 13}. Give prob of sequence xqx.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 2*b + 18. Solve b*x - 8 = -4*m - 0, -3*x = -m - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**8\/1008 - q**7\/210 - 7*q**6\/180 + q**5\/10 + 13*q**4\/72 - 5*q**3\/6 - 551*q**2 + 1. Let l(c) = 0. What is c?\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -28, -53, -84, -121, -164, -213?\n\"Answer: -3*j**2 - 10*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2*l**3 - 4. Let j(c) = 16*c**2. Determine a(j(s)).\nAnswer: 1536*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**5\/5 + u**4\/3 - 41*u. Factor z(n).\nAnswer: 4*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + (-54)\/(-10). Suppose -5*b + t = -10. Let s = -60756 - -60756. Solve s*q + b = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1120112?\nAnswer: 1120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -814933 - -25085.\nAnswer: -789848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410721868 to the nearest integer?\nAnswer: 20266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*k + 9321 = -47*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**2 - 10*n**2 + 21*n**2 - 4)*(-2*n + 0*n + 0*n).\nAnswer: -6*n**3 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 32. Let r = -608630 - -608644.00135. Let y = r - x. Round y to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -185*u + 369. Calculate q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1260650871.00000057 - 1260650879. Let b = -8 - f. Round b to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -11*k**2 + 1229*k + 217. Calculate q(112).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 160 = -a - 129, -5*a - 3*d + 64 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -2. Let k be ((-4)\/5)\/(v\/15). Is ((-46)\/k)\/(0 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -445, -891, -1341, -1795, -2253, -2715?\n\"Answer: -2*x**2 - 440*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -23197164\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.986 - -62. Let f = 9.014 - y. Are f and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100221122202 (base 3) to base 16\nAnswer: -2fd0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -193200*-0.5\nAnswer: 96600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*r = -26, -182*f + 181*f + 4*r = -19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 7*b - 14. Let o be z(9). Suppose -33 = 5*y + 4*s - 160, o*y = 5*s + 77. Suppose -y = -3*t + 19. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14627 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 2 - 1 - 6. Let p be c(-11). Solve 5*i - 3*t + p = i, 3*i = -5*t - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11263.461 + 11257. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 + -101120211?\nAnswer: -101122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 4, -59, 2 in descending order.\nAnswer: 4, 2, -1, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = 2*x - 1, -5*w = 10. Let y = 69 + -45. Let r be (x\/(-2))\/(2\/y). Let h(g) = g**2 + 8*g + 8. What is h(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12. Solve -4*k + 3*y - 4 = -m*k, 3*k = 3*y - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-73 - 1 - 3) + 2 + -5. Let m = k + 148. Is m a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 956660?\nAnswer: -956657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 875*n**2 + 87 - 225*n + 25 + 225*n.\nAnswer: 875*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -19 - (33 + (-62 - -16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-680)\/(-12) + 2\/6 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 8 = 0. Suppose v - 5 - 8 = -5*y, 4*y - 4 = -l*v. Suppose -4*g - 52 = -4*r, 0 = -r + 2*g - y*g + 23. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -170*x - 165*x + 505*x + 1292*x**2 - 172*x - 3*x**3 in the form r*x + q + h*x**2 + u*x**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 6 = 4*f, -5*j - 2*f - 17 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4487 is divided by 4466?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 977 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8\/19 + -66\/247. Which is bigger: -12 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -78148735978.\nAnswer: -78148735978.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 2*g**3 + g**3 + (-314*g**2 + 551*g**2 - 300*g**2)*(6 + 3 - 5)*(-g + 2*g + g).\nAnswer: -500*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 700 + -690. Suppose 0 = z*t - 6*t - 4. Solve 2*a = 5*i + 18, 5*i + t = a - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58641878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m*t**2*w**2 + 2*m*t*w**3 + 2*m*w**2 - 14*t**2*w**3 + t**2*w**2 - 25*t**2 wrt w?\nAnswer: 12*m*t - 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d1 (base 15) in base 7?\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 6*g + 8. What is v(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-5*28\/(-70). Suppose k*q - 228 = -0*q. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11727 is divided by 11167.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131 + -135. Let p = x - -578. Suppose -2*h - 4*h + p = 0. Is 52 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 4)*2*(-69)\/2. Suppose 7*h = u - 13. Calculate the least common multiple of 5 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*w = -56067 + 58938 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1\/(-1 - -18) - (-78775410)\/3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-48))\/((-28)\/3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*m - 2*m**2 + 33*m - 74*m + 30*m - 19*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2627, 10503, 23627, 41999, 65619, 94487?\nAnswer: 128603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w + w - w - 2*w + 5*w + 0*w - 5*w + 3*w + 3*w - 2*w - 3*w + (-3 + 1 + 3)*(-2*w - 2*w + 5*w) + 2 - w - 2)*(5*w**3 - 4*w**3 + 2*w**3).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3478504 is divided by 76.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2107.827 and 3.9.\nAnswer: 2111.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2489 + -2549. Let l(c) = c**2 + 63*c + 172. Determine l(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from pphnpnhppppp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m, m + 34 = -2*h - 2*m. Let c = h + 23. Suppose c = 4*i - 29 - 51. Solve 9 = 2*z - 3*f, -3*f = 5*z - 2*f + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-45) - (-2)\/(-5)*214. Let z = y - -79. Is 7 a factor of ((-376)\/z)\/(-2)*21\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v - 6*v**2 + 0*v + 0*v**2 + 15 - 15. Let g(u) = -u**2 + 2*u. Determine 4*a(c) - 22*g(c).\nAnswer: -2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 583498.8mm?\nAnswer: 0.5834988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f. Suppose 4*n - n = f. Solve n = -m + 4*d - 18, 0 = -2*m + 3*d - d - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -14504?\nAnswer: -14455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Which is smaller: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from rurkbkbebkuer.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 756425 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*x + 5. Suppose 2*r + x = 4*r. Let g be (r - (-6)\/4)*2. Solve g*a - 2*v - 31 = 0, 2*a + 3*v = 6*a - 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1585 - 1574. Solve 16*z + r + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -0.2 (c) 1\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1666\/(-84) - -18)*40\/(-22) - (-30184)\/294\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*2*sqrt(156) - sqrt(156)) + (sqrt(156)*-2*1 - sqrt(156)))*1)\/((sqrt(120) + sqrt(120) + 2*sqrt(120)*4)\/(sqrt(60)\/(sqrt(6)*-1))).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 4 + (-1 - (-6 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 0*o - o + (-1 + 1 - o)*(-1 + 4 - 4) + (-2*o - o + o)*(4 - 4 - 3 + (-1 - 5 + 4)*(5 + 5 - 2))*(5 + 0 - 4) to the form p*o + w and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17732.95 + 17733. Which is the third biggest value? (a) -1 (b) -4 (c) 0.1 (d) w (e) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162\/109 + 483\/545. Sort -0.1, l, 4, 2\/13.\nAnswer: l, -0.1, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5613659880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3736 = -187. Let g = o + -97. List the prime factors of g.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 559 = 4*r + 131, 4*x + 1413 = 3*r. Let w be (25 + -1)\/(x\/(-36) + -9). What is the highest common factor of 48 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 16718540*x**3 - 13975445549440*x**2 - 55902049694720*x.\nAnswer: -5*x*(x - 1671856)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -40342, 7 in decreasing order.\nAnswer: 7, -28, -40342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -526338 divided by -729?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 8835 = 6*g. Let o = g - -8840\/19. Calculate the common denominator of 39 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32113183 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -102211120111 (base 3) to base 2\nAnswer: -111000111000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u - 19 - 9*u + 21*u. Let a be g(19). Suppose -5*o - 261 - a = -4*b, 20 = -4*o. What is the highest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 20*b**2 - 182*b - 3813. Determine c(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*f**3 + 28*f**3 - 2*f**2 + 37*f**3 + 2*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587892 is divided by 129?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 61*x - 377. Calculate i(-41).\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 345128157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m + 5*i + 55, -3*i - 45 = -2*m. Let l be (-5 + 0)*2\/m. Suppose -5*p - 3 = 7. Which is greater: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-66 - -72)) + -1 + 71 - -2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/y*y**26)\/(y**(-2\/37)\/y**(6\/17)) assuming y is positive.\nAnswer: y**(14723\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355 - 174 - 4*u**2 - 181 - 53*u**2 - u.\nAnswer: -57*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 divided by -825607.\nAnswer: 413\/825607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15f (base 16) in base 15?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27059145 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-50))\/1*(-4)\/42?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 42 = -l, -65*l + 2133 = -46602*j + 46606*j for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 58.4. Put -4, -1, -2\/7, n in ascending order.\nAnswer: -4, -1, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2)\/(0 + 2). Suppose w*q + q - 5246 = 0. Let d = 115451\/22 - q. Calculate the common denominator of d and -27\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:03 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -3*g, 4*g + 17 = 5*x. Let i be ((-1)\/x)\/(((-108)\/(-45))\/(-4)). What is p in i*p**2 + 121\/3 + 22\/3*p = 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + i**2 - i**2 + (-2*i + 2*i + i)*(-2*i + 0*i + 4*i) + 0*i**2 + i**2 + i**2 - i**2 + 5*i**2 - 5*i**2 + 3*i**2 - 36*i + 5*i**2 + 546 - 548.\nAnswer: 12*i**2 - 36*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3768 and 3140?\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, x: 7, n: 4}. What is prob of picking 1 n and 1 x?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2\/2 + 36291*i - 439012227\/2 = 0.\nAnswer: 12097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23615018 and 84339350?\nAnswer: 590375450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 0\/((-3)\/1). Let d(u) be the first derivative of 7*u**2\/2 + 3*u - 227. Determine d(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and -46\/153?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u + 16518. Let n(b) = -b**2. Determine h(n(j)).\nAnswer: -6*j**2 + 16518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137676699?\nAnswer: 3, 257, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 32376?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 508 + -501. Calculate the remainder when 38 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4*g + 12, 7*g + 24 = 13*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/1)\/(4\/(-8)). Suppose -10 = -k*g + 6. Suppose -j - 4*j = 4*z - 43, 0 = g*j + 20. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22795 and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 19?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-11 + (1 - -11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7816 divided by 4243\nAnswer: 7816\/4243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 199 + 2*m**4 + 18*m + 16*m - 200 in the form a + s*m**3 + q*m**2 + p*m**4 + u*m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 261, 0, -1, 10 in decreasing order.\nAnswer: 261, 10, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 276620 (base 11) to base 12\nAnswer: 18a923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -120*c - 115. Suppose 89*j = 92*j + 15. What is the tens digit of d(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -984 + 77738\/79. Are -4 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/(b*b\/(b**(2\/7)*b)*b))\/b))\/b)**46*(b**(-5))**14 assuming b is positive.\nAnswer: b**(-260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 7:23 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 67. Find s, given that -29*s + 4*s**3 + 4*s**5 + 32*s**2 - 28*s**3 + v*s = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1056285487 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -391, -868, -1529, -2368, -3379?\nAnswer: -4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9600 = 4*j, -4*j = j - 4*m + 12000. Let f = j - -24079\/10. Find the common denominator of f and -85\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192407816?\nAnswer: 2, 3, 49683659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 3:52 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 7 (b) 174 (c) -1\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/2? (a) -23 (b) 3 (c) -16\/25 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.574 - 8.674. Which is the nearest to -27\/2? (a) 3\/7 (b) -2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 19, -34, -125, -266?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/3*c - 52\/3 - 1\/3*c**2.\nAnswer: -(c + 4)*(c + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44552998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1496 and 436304?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 1. Suppose 0 = -2*h - 3*d - 8, -4*h = -h + d + 5. Calculate g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 128*y**2 - 1024*y. Let v(j) = 23*j**2 - 205*j. Let m(p) = 2*d(p) - 11*v(p). Suppose m(s) = 0. Calculate s.\nAnswer: -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115659 is divided by 267?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605.85 rounded to the nearest ten?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -7)\/(2*(-2)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z**3\/5 - 1873*z**2\/5 - 1771*z\/5 + 118\/5 = 0.\nAnswer: -1, 1\/16, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -4\/7, 0.033814, -1.\nAnswer: -1, -4\/7, 0.033814, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40202764*w**3 - 3*w - 89090633 wrt w.\nAnswer: 120608292*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*r - 24, -5*n + 35 = 4*r - 41. Let y = 17 - n. What is the least common multiple of 8 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 20 = 5*r. Solve -r*j = -2*i, 4*i - j = -0*i - 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -97. Let r be ((-10)\/k)\/((-1)\/2). Let g = -9 + 8.7. Which is the smallest value? (a) -0.2 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/((-6)\/(-60)*-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08 times 1716716?\nAnswer: -1854053.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from evrvervv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82111 by 2.\nAnswer: -82111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 205. Factor -4 + 2 - 21*q**4 + 5*q**5 - q**5 + 6*q**2 + g*q**3 + 15*q - 43*q**2.\nAnswer: (q - 2)*(q - 1)**3*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322 (base 9) to base 14.\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 2*y**2 + 153*y - 154. Determine t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7574 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 1. Let x(k) = 8*k + 0*k**2 - 10*k - 5 - k**2 + 7*k**2. Let h(p) = 5*d(p) + x(p). Factor h(q).\nAnswer: q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6146462279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.8 minus -26840701.1159?\nAnswer: 26840604.3159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -587 - 218 - 30*x + 492 + (2*x + 4 - 4)*(-4 + 4 - 3) to q*x + c and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 13 + 2. Let s = 0.1 + -0.1. What is the nearest to s in 0, a, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/5 (b) 21.5 (c) -12.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**6\/60 + 11*a**5\/5 - 70*a**4\/3 - 28*a**2 + 2*a - 25. Determine q so that u(q) = 0.\nAnswer: -70, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*z + 30, 3*o - z + 6 + 2 = 0. Let k be 0\/(3 - o - 2). Let m be 3*(-4)\/(-24)*-2. Which is the smallest value? (a) m (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211513 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18082181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(68)\/sqrt(4) + sqrt(17) + (sqrt(17) + 1)*3)**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 9*m + 8. Let w be k(5). Suppose 0 = 8*t - 45 + w. Suppose t*q - 10*q = -18. Solve 3*f + 0 = q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2. Let h(t) = -287565*t. What is l(h(a))?\nAnswer: 165387258450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t**3 - 4*t**5 - 6*t**4 - 2*t**4 + 144*t + t**4 - t**5 + 132*t**2 + 6*t**5 = 0 for t.\nAnswer: -4, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 688, 700, 726, 772, 844, 948, 1090?\nAnswer: 1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/6, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 61457*r + 3380139. What is p(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-28)\/(-175)))\/((-70)\/56)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -156*p**2 + 20*p**3 + 156*p**2 + 2*p + (-3*p + p + 3*p)*(4*p - 4*p - 3*p**2).\nAnswer: 17*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buqqqwwwwwqqqwwzqqoq. Give prob of picking 1 u and 1 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3677*p - 3792*p - 5175 = 0 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113363\/170370 + 39\/1262. Find the common denominator of l and 53\/6.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10349*a**2 + 2316*a**2 - 35412*a**2.\nAnswer: -43445*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-5)\/b)\/b)\/(b*(b\/((b*(b**4*b)\/b)\/b)*b)\/b)*(b**(-1\/4))**(-1\/5))**(-1\/48) assuming b is positive.\nAnswer: b**(33\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 7*m**4\/12 + m**3\/6 - m**2 - 14*m. Let f be q(3). Is 64 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 minutes before 10:01 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round 15370 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/5)\/((2\/1)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-240)\/(-320))\/((-1)\/(-36))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/165*-3)\/((-4)\/22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.5 (c) -2 (d) -6\/5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -5 + -2 + (0 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -778105, -1556158, -2334211, -3112264, -3890317, -4668370?\n\"Answer: -778053*d - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 e when four letters picked without replacement from {i: 2, e: 2, x: 1, q: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13014485 to the nearest integer?\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-339*l + 174*l + 165*l + 253*l**2)*(-39*l**2 - 37*l**2 + 73*l**2 + 64).\nAnswer: -759*l**4 + 16192*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14504 - -14512. Solve -p = -2*u + 2*d - 7*d, -3*d = -6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2184 and 4.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d + 7. Calculate h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*r + 181 + 375 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365326 by -1.\nAnswer: 365326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/12, 9, 2, 3.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/55)\/(26\/(-39))*18\/(1188\/4235).\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -1\/2*p**4 - 4\/3*p**3 + 0*p**2 - 4*p + 0. Find the second derivative of d(b) wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 403 and 62.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - -72. Is t a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Suppose n*g = 4*w + 52 + 56, 4*w = -4*g - 132. Let v = 42 + w. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*h - k, 14*k - 11*k = -h + 21 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466692658?\nAnswer: 2, 23, 31884623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**2*w**4 - 4*r**2*w + 109*r**2 + 426*w**6 - 2*w**2 wrt w?\nAnswer: 72*r**2*w + 51120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -54021556?\nAnswer: -54021565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64205 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-495)\/175 + (468\/(-91))\/9.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(-30)*(540\/8 + -10) and 1668\/(-504)*(-2)\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156086*p**3*z**3 + p**3 + 2028*p**2*z**3 - p**2*z**2 + 50*z**3 wrt p?\nAnswer: -936516*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 13*l - 1280. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**3 + 2*r**2 - 3*r**3 + 43*r**3 - 3*r + (-12*r + 7*r - 9*r)*(-2*r**2 + 2*r**2 + 2*r**2) in the form g*r**2 + i*r + w + c*r**3 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.4117 millilitres to litres.\nAnswer: 0.0264117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 364*s + 362. Let n be d(1). Solve 4*k = 4*f - 2*f + 30, -4*f - 10 = n*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*y**2\/2 + 2*y.\nAnswer: -y*(21*y - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:12 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 905.6712 kilograms?\nAnswer: 905671200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2192 is divided by 935.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c - 2. Let a be n(-1). Let m(g) = -g**3 - g**2 + g + 7. Let q be m(0). Let t = q - a. Solve -l - 2*l + 4 = -2*u, -4 = t*u - 4*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/15 + (-2)\/(-5). Let z be (n\/(-3))\/(-1) + 1. Does 11 divide (-1*1)\/(z\/(-56))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3509 = 9*h - 1837. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2360 by -590.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -10*m**2 - 69*m + 5. Give d(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29105 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - -47686?\nAnswer: 47655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 + -130.74. Let b = g + 124. Put b, 1\/3, -4, 2\/7 in decreasing order.\nAnswer: 1\/3, 2\/7, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 51 - 50 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83081.279 less than -44?\nAnswer: -83125.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1817748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*y**2 - 67*y**2 - 58*y**2 in the form z + h*y**2 + w*y and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 52904008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3766658*q - 299. Let y(x) = 7533321*x + 597. Let g(b) = -9*a(b) - 5*y(b). Let i be g(-18). What is i rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254695 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d + 160 = 22*d. Put -4, -2, d, 3 in increasing order.\nAnswer: d, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 308 + -268 - (-4 + 59).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (72\/(-1))\/(5*5\/100). Let v be 1\/12 - 264\/z. Sort -6, -3, v, 3.\nAnswer: -6, -3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 641 - 574. What is the smallest common multiple of a and 603?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 39 (b) -545.3 (c) 3 (d) -11 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 19346133?\nAnswer: 1\/19346133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159839 is divided by 333?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 28. What is the nearest to 1 in -2\/7, -0.4, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + t - 4. Let i be q(6). Let a = 2 - i. Is 0.2 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28799 + -144001\/5. Let n be -1 + 1 + 2\/(-17). Put 4, o, 5, n in decreasing order.\nAnswer: 5, 4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*i = -5, -3*u - 4*i + 2347 - 2322 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-320139.\nAnswer: -960417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12895 + 12939. What is the greatest common factor of 4268 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 2*g**2 + 0*g**2 + (g**2 + 0*g**2 + g**2)*((-8 + 17 - 11)*(4 - 1 - 2) + 1 - 5 - 4).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8160.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - sqrt(4)*-1*-3 - sqrt(8)\/(sqrt(4)\/sqrt(2)))\/((sqrt(56)\/sqrt(4))\/sqrt(7) - 2*sqrt(8)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-1 + -2))\/(15\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -41, -58, -79, -104, -133, -166?\n\"Answer: -2*y**2 - 7*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, h: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 4*i - 5*z, -18*z + 17*z + 13 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*z - 2523 - 960. What is the least common multiple of z and 15?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:16 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let l be (0 - 14) + h - -1. Let o = l + 8. Round o to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - h + 2*h, 2*x - 2*h = 14. Solve 10 = -n - 3*r, -6*n + 12 = -x*n - 5*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9143, 2, -0.1, 4 in decreasing order.\nAnswer: 4, 2, -0.1, -9143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8998 a factor of 1958330452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 333 - 317. Let l(x) = -5*x - 16. Let p be l(5). Let b = p + 43. Solve 2*t = n + b, -5*n = -n + u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 30*k. What is the units digit of q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46214 + -14257. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1546\/(-23963)*(28\/(-8) + 5).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 33. Let t be v(12). Which is greater: -20 or t?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 - -0.04. Let t = -272109.8500065 - -272110. Let b = t + d. Round b to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011011 (base 2) in base 10?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.2823*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*(-95)\/(-57).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 4*h**2 - h + 14. What is the smallest common multiple of 4 and g(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 207\/4*c - 567\/4 + 1\/4*c**3 - 25\/4*c**2.\nAnswer: (c - 9)**2*(c - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5730248 hours in milliseconds?\nAnswer: 2062889.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -2*t. Suppose -2 = b - t*b + 2*d, 5*b + 2*d = 14. Suppose -9*w + 51 = 15. Solve -3*l - w*k - 3 = 0, 0*l + b*l + 5 = -5*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1022)\/(-33) - (-89 + 120).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 4. Suppose 4*v - 2*v = -120. What is the units digit of (-1884)\/v + n\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) 1\/102 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 149. Let i = 308 - 292. What is the remainder when h is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 484, 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 262.9275ns?\nAnswer: 0.000000004382125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(66)\/sqrt(11)) + (sqrt(396) + sqrt(396) + -1 - sqrt(396)))**2 - (sqrt(99) + 2*sqrt(99)*-2 + -4).\nAnswer: -5*sqrt(11) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/9, 10, -2, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 + 153553744*b - 2947344037052192 = 0.\nAnswer: 38388436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.043903769 - 0.077900094. Let w = q - 0.966. Round w to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19.49, 13, 3 in increasing order.\nAnswer: -19.49, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Suppose 3*u - f = 5. Suppose -u*d - 8 + 0 = 0, 6 = -5*g - 4*d. Solve g*y = -2*n, 0 = 5*y - n + 4*n - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -293307, -586625, -879959, -1173315, -1466699, -1760117?\n\"Answer: -p**3 - 2*p**2 - 293305*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = -2215 + 2173. What is the second biggest value in m, -1, 857?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y**2 - 182*y - 24*y**2 - 181*y - 178*y + 543*y + 432 to the form p + j*y + m*y**2 and give p.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -7.443?\nAnswer: 8.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rprzsrdrrryrrsrryrd. What is prob of picking 1 p, 1 s, and 1 y?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138188190 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 + 7. Let b = -1.82 - -9.12. Let k = b - l. What is the closest to 2\/7 in k, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 5*c + 5. Let i be w(-4). Let m be 2\/7 - ((-309)\/(-7))\/(-3). Let g = m + i. 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: b\"What is the lth term of 617, -215, -4025, -12301, -26531, -48203, -78805, -119825?\n\"Answer: -248*l**3 - l**2 + 907*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674790*g**3 - 34527*g**3 - 12*g**2 + 12*g**2.\nAnswer: 640263*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*k - 14, -3*d + 7*d + 7 = k. Suppose -2*s = -k*s. Suppose y + s = 8. Solve 2*z = -0*z + y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29648 and 31280?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:47 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -262 in increasing order.\nAnswer: -262, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/(-40) + (-35)\/(-30). Let h(u) be the third derivative of -6*u**2 + 0*u + 0 + i*u**4 + 1\/3*u**3. Determine h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 10:24 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2 + 40*h + 89 wrt h?\nAnswer: 4*h + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 0 - 2\/105*d**6 + 0*d**2 - 3\/70*d**5 + 3*d + 4\/21*d**3 + 1\/147*d**7 + 2\/21*d**4. Solve s(r) = 0 for r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cadcaddadacda. Give prob of picking 1 a and 1 c.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24462*s = 23373*s + 50094 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d*z**4 + 5*d*z**2 - 25*d - 1226522*z**4 + 7*z**2 + 10*z + 22 wrt z.\nAnswer: -96*d*z - 29436528*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9428 and 551.3?\nAnswer: -5197656.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:02 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.301 and -41.\nAnswer: 422.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 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: Suppose -a**5\/2 + 11*a**4 - 149*a**3\/2 + 190*a**2 - 198*a + 72 = 0. What is a?\nAnswer: 1, 2, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*r - 125*r + 3*d + 3 = 0, -24 = 4*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27882 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -555 divided by -3\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 17*h**6\/120 + h**4\/24 - 11*h**3\/6 - 36*h**2 - 2. What is the second derivative of i(s) wrt s?\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 370116 * -1\nAnswer: -370116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 352, 358, 376, 412, 472, 562, 688?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 41961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9159*k + 271179 = 3258*k + 52842 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 15*h - 2. Give f(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + q, -4*q = -8. Suppose -206 = -w*n - 62. Let o = n + -56. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + t - 3*t)*(33 + 3 + 8) in the form c + n*t and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1211 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.1 - 13. Put j, 3, -8 in decreasing order.\nAnswer: 3, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010100001011111 (base 2) to base 6.\nAnswer: -1343131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y. Let o = y - -4. What is the lowest common multiple of o and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*r**2 - 4*r**2 + 6*r**2 to the form c*r + y + t*r**2 and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x**2. Let f(j) = -96*j - 84. Let q(u) = -u - 1. Let h(p) = -2*f(p) + 168*q(p). What is y(h(r))?\nAnswer: -4608*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 9*l**2 - 8*l + 8. Let a(s) = 2*s**2 - 5*s - 2. Let q be a(4). Let c be w(q). What is the greatest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16972171 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 88*d - 880. Let n be g(10). What is the fourth biggest value in -0.06, -1\/12, n, 2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 4063*n - 4063*n.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16933 or -3?\nAnswer: 16933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.1 (b) -0.1 (c) 6612\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Suppose t*r + 0 = 6. Let o = -4 + 10. Solve -5*j = -r*h + 20, o*j + 3*h = 2*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {s: 4, o: 1, d: 4, t: 1, l: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332150 + 332577.297. Let l = 427 - z. Let v = l - 0.003. What is the closest to -0.1 in 0.4, -0.01, v?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313213120 - -11?\nAnswer: 313213131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1925 and 1078.\nAnswer: 26950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - o - 13 = -4*o, h - 4*o = -13. Let g be (0 + (-20)\/50)\/(h\/25). Let y = -5 - -10. Put 3, y, g in ascending order.\nAnswer: 3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -372*j**2 - 4 + 376*j**2 + 14 + 4 - 1 + j to u + d*j + w*j**2 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 387 - 75 = 0. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224013 - -30?\nAnswer: -223433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*l + 2 + 2 + 3*l**3 - 182*l - l**4 as d*l**4 + x*l**2 + v*l**3 + j*l + t and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 11 - 5. Suppose -b + 1 = 4*o + m, 0 = b - 5*o - 20. Let s = -0.9 - 0.1. What is the closest to -2\/7 in s, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-6)\/(-3 - -6). Solve -10 = -4*r + b*m, -m = 4*r + 3*m - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b + 4. Let d = -3 - -3. Let r be p(d). Factor -q**3 + 2*q**4 + 5*q**3 + 2*q**3 + r*q**2.\nAnswer: 2*q**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5243819 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**2. Let v(u) be the third derivative of 0*u**4 + 51*u**2 + 0*u**3 + 0 + u + 11\/60*u**5. Determine m(v(d)).\nAnswer: 1331*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Suppose 1161 = 5*y + g*a, 3*y - 3*a = -0*a + 705. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + s + 5*s)*(5 + 1 - 2) + 4 - 4 - 54*s - 83*s as p + d*s and give d.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -3*n**4\/4 - 2*n**3\/3 + 2*n**2 - 2*n + 1710. Let o(g) = -g**3 - g**2 - 1. Let q = -4 - -6. What is q*o(p) - i(p)?\nAnswer: p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1484119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -23\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Let u = v - 9. Let w be -3 + 184\/40 + (-4 - -2). What is the nearest to w in -2, 2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394.3637 milliseconds in hours?\nAnswer: 0.00038732325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 7. Let r(k) = k**2 + 6*k + 1051. Calculate -5*b(o) + r(o).\nAnswer: o**2 + o + 1016","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*v = 185, 7*v - 4*v - 121 = -4*b. What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3f7 (base 16) in base 13?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -3, -1, -416, 0, 5, 23 in ascending order.\nAnswer: -416, -30, -3, -1, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15779508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9525, -9885, -10245, -10605?\nAnswer: -10965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from knukiknukknkkuknnu.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2866 - -4166. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/3, 0, -16, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*a, -2*j + 3*a - 31 = -107. Solve 4*f = 12 - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(7) + 5*sqrt(7)*2) + 5*(1 + sqrt(17)) + sqrt(68)*4)**2.\nAnswer: 1440*sqrt(17)\/11 + 355537\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -170*f - 10765. What is the remainder when 3546 is divided by i(-64)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/230 and -97\/529740?\nAnswer: 12184020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -252, -500, -748, -996, -1244?\n\"Answer: -248*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61867 + 94661. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 150 = -39*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259 - 202*g - 642*g + 110 with respect to g.\nAnswer: -844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 602, 0, 3, 1, 72 in ascending order.\nAnswer: 0, 1, 3, 72, 602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 118. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4865)\/(-5) - (-12 + 4 + 1). Let k = x + -978. Let 1\/10*y**4 - 1\/2*y**k + 0*y + 2\/5 + 0*y**3 = 0. What is y?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 12*d + 4*d**2 - 20\/3*d**3 + 93. Factor p(t).\nAnswer: -4*(t - 1)*(5*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + -1*sqrt(288))\/sqrt(12))\/sqrt(8) + 2 - (5*(sqrt(108) + 4))**2.\nAnswer: -3098 - 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 475\/1141 - -2\/163. Which is the closest to 0.1? (a) s (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10 - 8*o**2 + o**3 + 5*o**2 + 6 - 4*o**2 + 16*o - 10*o**2. What is f(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00720254619 to six dps.\nAnswer: -0.007203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.850077778 to two dps.\nAnswer: 4.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*x**2 + 202*x - 202*x + (5 + 1 - 5)*(-x + 2*x**2 + x) + (-1 - 3 + 5)*(0 - x**2 + 0) + (-31*x + 25*x + 1 - 4)*(-3 - 2*x + 3).\nAnswer: -2*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 8 = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/62 - (-1344 + 1341)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**3\/6 + 5*t. Let v(r) = 2 - r**2 - 2. Give v(f(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrrtvqtrrrlqrtq. Give prob of picking 1 v and 3 r.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r - 60 = -44*r. Calculate the remainder when 107 is divided by r\/(-4)*(-372)\/(-155).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 8, 2, 3, 2055 in descending order.\nAnswer: 2055, 8, 7, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7 = -4*u, 4*u - 3*u + 4*z + 17 = 0. Suppose -d + 1 = -t, t + 4*d - 1 - u = 0. Solve -2*f - 3*a - 4 - 4 = t, -2*a = -4*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 5889.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b**2 + 2*b + 1. Let k(l) = 571*l**4 - 2*l**3 + 618*l**2 + 4*l + 2. Let f(i) = 2*d(i) - k(i). Find the third derivative of f(j) wrt j.\nAnswer: -13704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 7*z**2 + z + 7. What is f(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81065 and 11545225.\nAnswer: 2615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i = -2240 + 1470 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5986 and 1230?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/2)\/(8\/48). Suppose 0 = -3*a + 3*c + 30, 5*a + 5*c - 8 - n = 0. Solve -5*p - 3*z = -a*z - 32, 5*p - 17 = -z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**2. Let w(z) be the first derivative of -17*z**3\/3 - z + 24. What is w(f(x))?\nAnswer: -612*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (0 - 0)) + -2 + (-3 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37466044817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 3:49 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 27 = -2*d. What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2*s + 7056*o**2 + 2*o - 843*s wrt s.\nAnswer: o**2 - 843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (308\/14)\/(2\/4). Suppose 7*p - 3*p = q. Let r be p\/(-22)*(-1 - -1). Solve -5*h + 4*k - 5*k = -13, r = h - 4*k - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 285756, 1142892, 2571450, 4571430, 7142832, 10285656?\n\"Answer: 285711*r**2 + 3*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -4*b - 1\/2*b**2 + 2. What is the first derivative of k(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4290\/572*((-4)\/(-5))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101101 - 111011101010000?\nAnswer: -111010000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 9 (c) -0.36 (d) -2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.7107056 days?\nAnswer: 1023.416064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.90999141 rounded to four dps?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90060858 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let s(j) be the third derivative of 3*j**2 + 0*j**3 + 0 + 1\/6*j**4 + 0*j. Determine s(b(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0551 - -2.8051. Let z = 0 + 0.25. Let v = z + p. Sort v, -4\/9, 1\/5 in decreasing order.\nAnswer: v, 1\/5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1507*q**5 - 12*q**3 - 1108*q**2 - 6*q. Let o(w) = -w**5 - 2*w**3 + w**2 - w. Let k(f) = -c(f) + 6*o(f). What is the third derivative of k(d) wrt d?\nAnswer: 90060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 - 6*r + 1. Let y be k(-6). Let d be (y + 4)*(-42)\/(-10). Let d*a + a**3 - 21*a = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:00 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/16809 + -333914\/19044597. Calculate the common denominator of i and -43\/618.\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 19 - 476*l - 12 + 61 - 13.\nAnswer: -476*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/2 + 4491*y**2 + 1029768*y.\nAnswer: -3*y*(y - 3208)*(y + 214)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 6 = 0. Let y(b) be the second derivative of b**4\/12 + b**3\/6 + b**2\/2 + b. List the prime factors of y(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -19d?\nAnswer: 19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - ((1 - 3) + 1). What is the remainder when (-2)\/(-1) - (-44 + g) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27237, -54460, -81683?\n\"Answer: -27223*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eht when three letters picked without replacement from zzkeehht.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818.69ml in litres?\nAnswer: 1.81869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.006 in -1\/35, 3, 2\/5?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5339*u + 1054000 = 1440*u + 6396*u for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -479 or -476?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:48 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:39 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 252, 309, 382, 471, 576?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/1504749 and -34\/3442371.\nAnswer: 251293083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 - 11*z**2 - 2*z + 6. Let j(s) = 5*s**3 - 12*s**2 - s + 7. Let a(y) = -5*j(y) + 6*w(y). List the prime factors of a(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 2*j. Let w(o) = 15*o**2 + 9*o. Determine -4*l(q) - w(q).\nAnswer: -11*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004776622 rounded to seven decimal places?\nAnswer: -0.0004777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 298587239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*b, 0*b + 3 = p + 2*b. Suppose 20 = 4*x + 4*z, 0 = 4*x - 6*x + 3*z + p. Suppose 0 = 7*a + x*a - 2387. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15176864 + 3?\nAnswer: -15176861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*u**2 + 6*u**2 - 56*u**2)*(2*u - 1 - 2*u - 2*u) as n*u**3 + h + f*u**2 + z*u and give f.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/25, -1.3.\nAnswer: -1.3, -2\/25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2, 3*i - 26 - 56 = 2*q. Suppose -n + h + 809 = 0, 26*h = n + 24*h - 808. What is the remainder when n is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 75601410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - r + 166 - 102, -3*f = 2*r + 59. Is -17 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5687 from 40082.\nAnswer: 34395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 100*p**2 + 10*p + 1120. Calculate g(-100).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 20*n**2 + 328*n. Let l(i) = 14*i**2 - 34. Give k(l(r)).\nAnswer: 3920*r**4 - 14448*r**2 + 11968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 1:12 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 26265*u**3.\nAnswer: u**3*(u + 26265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 6130755?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7971995 and 233480.\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 372965*u**4 + 46852*u**2 + 2*u.\nAnswer: 8951160*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -227569572566.\nAnswer: -227569572536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28024 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419879 divided by -419879.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1151*l**3 + 1141*l**3 - 2294*l**3 - 1966*l**2 to f + h*l**3 + u*l + p*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {t: 9, b: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 1, m: 2}. What is prob of sequence we?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from omolomqoq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/10*(-35)\/35 + 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5\/(75\/6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2686613 (base 9) to base 3.\nAnswer: 2202220200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 2 = 0. Let l = 410395.962 + -410396. Put -0.3, g, l in ascending order.\nAnswer: -0.3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o**3 + 19901715*o**2 + 4950975761550*o - 1237745184245.\nAnswer: 5*(o + 497543)**2*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 72.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 7*p + 12. Let d be u(5). Determine k so that -5*k**2 + k**2 - k**2 + 2*k**d = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = 0. Suppose a = 4*w - 12 - 24. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + -1*sqrt(175) + sqrt(175) + sqrt(84)\/sqrt(108) + 5 + sqrt(7) + sqrt(56)\/sqrt(2))**2.\nAnswer: -20*sqrt(7) + 781\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a3 - 32bb9?\nAnswer: -32b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1920)\/30*(10\/(-5))\/(-1)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 830105 and 50.\nAnswer: 8301050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*((-960)\/14560)\/((-9)\/(-14))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 22 = -27*f + 29*f, -71*q = -5*f - 76*q - 8 - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 665313 and 2607?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**2*n**3 - 2*f**2*n + f**2 - 18554136*f*n**3 - 8620*f + 11*n**2 - 3*n wrt n.\nAnswer: -36*f**2 - 111324816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.727319 (b) 23 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 1 - 1 - 1 - 4*w.\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 217*o + 6939. Let q be i(-32). Sort -2, 84, -1, q, 3.\nAnswer: q, -2, -1, 3, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 4*a**3\/3 - 73*a**2\/2 + 17*a + 181. Let s be k(18). Put s, -4, -2, 14 in increasing order.\nAnswer: -4, -2, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 3*p. Let m be i(2). Let d = -14 + m. Let l(w) = -2*w - 6. Let u(a) = 2*a + 7. Let x be (-3)\/((-9)\/(-15))*1. Give d*u(z) + x*l(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3903972 - -5?\nAnswer: -3903968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**6\/120 + 7*h**5\/30 - 3*h**4\/8 - 10*h**3\/3 - h**2 - 6*h. Is 19 a factor of i(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2 - (9 + -3 + 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 68 + 4*n + n - 7.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(343))**2 + sqrt(343) - sqrt(343) - (sqrt(126)\/sqrt(6))\/sqrt(3)) + (-1*sqrt(1701) + sqrt(1701))\/((sqrt(90)\/sqrt(3))\/sqrt(10)).\nAnswer: -sqrt(7) + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**3 + 2*m + 1. Let j(t) = 7*t**3 - t**2 - 2*t. Let b(h) = -6*i(h) - 5*j(h). Let d be b(-5). Solve -d*s - 8 = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -384? (a) 0 (b) -0.04818 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 45, 88, 167, 294?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 59. Let n be l(-20). Let v = n + 299. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8323525292 to 5 dps.\nAnswer: -0.83235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -23. Let n be (8\/(-6))\/(3\/9) - -6. Solve -w + 4 = -n*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, g: 2, l: 3, k: 2}. What is prob of sequence kk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10892 and 2849036.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11 from -332218505.\nAnswer: -332218505.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 31 + 117. Let a(j) = -j + n - 20 + 2*j. Let o be a(0). What is the greatest common divisor of o and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 13. Let r be f(5). Suppose 2*c + r*u = c + 8, c = u - 4. Solve q = -c*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33484772*f**2*m**2 - f**2*m - f**2 + 506*f*m**2 + 87*f*m - 112 wrt f.\nAnswer: -66969544*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -17. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320425 (base 6) in base 5?\nAnswer: 4311422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201*n + 8440 + 22786 = 0 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 40, 89, 158?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2475 and -0.1?\nAnswer: 0.02475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 2*v**2 + 3*v + 3. Let j = 765 + -759. What is the remainder when j is divided by n(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - w**2 - w - 1. Let o(k) = -6*k**3 - 7*k**2 - 2*k - 34. Calculate -4*g(q) + o(q).\nAnswer: 6*q**3 - 3*q**2 + 2*q - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26798779 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4608 and 84264192?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 181*i**2 - 189*i + 1304. What is a(182)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 187*t**3 - 17*t**2 - 7*t - 79. Let s(l) = -43*l**3 + 4*l**2 + 2*l + 20. Give -4*q(r) - 17*s(r).\nAnswer: -17*r**3 - 6*r - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.014 - -0.116. Let w = 0.03 - i. Which is the nearest to 2\/3? (a) 0.4 (b) 2\/15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g + 0*g)*(2 - 5 + 1) + (-1 + 3 + 0)*(g - 2*g + 0*g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 479.99952 to one dp.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96465185.\nAnswer: 5, 19, 1015423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/24 - a**5\/3 - 33*a**4\/8 - a**3\/6 + 233*a**2. Find the second derivative of p(m) wrt m.\nAnswer: -30*m - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z**7 + 0*z + 0*z**6 + 14*z**2 - 1\/28*z**8 + 0 + 23\/24*z**4 + 0*z**5 + 0*z**3. Find the second derivative of c(b) wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/((-10010)\/528)*45\/12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 432*l + 433*l - 5, -5*k = 2*l - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyi when three letters picked without replacement from iwoyywwiwooww.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 23*r - 2*r + (-6 + 6 - 2*r)*(-1 - 1 + 0).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790362.\nAnswer: 2, 3, 19, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5 + 2\/5*f**2 - 22\/5*f.\nAnswer: 2*(f - 12)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 99*j + 4. Let m(z) = -83*z - 9. Let i(o) = 6*m(o) + 5*q(o). Calculate i(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/406153 and -63\/295384?\nAnswer: 3249224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 16*n + 52. Let j be c(-11). Let m(p) = p**3 - 3*p**2 - 3*p + 3. Let q(y) = -5*y**2 - y - 7*y + 3*y + y**3 + 6 - 1. Determine j*q(h) + 5*m(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**3 + 11*w**2 - 2*w + 3. Let l be n(9). Suppose -k - 1142 + l = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11275 and 792.\nAnswer: 811800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.96468426 rounded to three dps?\nAnswer: -2.965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 650\/(-15)) + 1\/(-3). Let y be 288\/m - 68\/(-119). Factor -28\/5*u**3 - 8\/5 - 64\/5*u**2 - y*u.\nAnswer: -4*(u + 1)**2*(7*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(242) - ((sqrt(242)*-2)**2 + 0))*-4 - ((sqrt(242) - (sqrt(242) + 2))*-4 + 3)).\nAnswer: -15444 + 176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.2426.\nAnswer: 0.1213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwtyyyywwweeeeteww. Give prob of picking 2 t.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399242, 3193999, 10779790, 25552133, 49906546, 86238547?\nAnswer: 136943654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*q + 17 = 82, 4*o - 52 = 5*q. Suppose -4 = c, 3*b = 3*c + 3 - 9. Let p = -1 - b. Calculate the remainder when o is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 65*j**2 - 9*j - 14. List the prime factors of w(-2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:19 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/(-24) + (-6)\/8 and 43\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q*s**2 + 214*q*s + 5*q + 10*s**2 + 160 wrt q?\nAnswer: 2*s**2 + 214*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 13*w**2 + 18*w + 1. Let z be j(-14). Let g = z - -58. Sort 1, -4, g in descending order.\nAnswer: g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254 (base 7) to base 6\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8272579?\nAnswer: 7, 73, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 9*j + 4*f = -8, 0 = -5*j + 4*f - 16. Let l be 3\/j + 58*168\/(-64). Let q = -115 - l. Calculate the remainder when q is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*u, -4*s + 9*s = u + 24. Factor -4\/9*j**3 + 2\/9*j**s + 0*j**2 + 0*j**4 + 0 + 2\/9*j.\nAnswer: 2*j*(j - 1)**2*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6248.7 + -6249. Which is the fourth smallest value? (a) 0.5 (b) -5 (c) -21 (d) i (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + c. Let y be a(-3). Suppose -5*v + 2*v = y. Let d = 20 + v. Solve -3*k - 2*s + s + 17 = d, k - 15 = -5*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 59. Let q be 4\/(-10) + d\/(-10). Suppose -3 = -q*s + 6. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1596 + (-7)\/(28\/(-12)). Does 23 divide 1*2\/4 - c\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8064 = -1451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*s - 4*s**2 + 331*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7671929 <= -7671926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 64\/48*33075\/84. What is the highest common divisor of 588 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 323?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*z - 31*z - 4*z + 189*z.\nAnswer: 76*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 50*483.5967\nAnswer: 24179.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 41 - 6 = -2*n, -3*n = -6*n - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 104, -10, -2, -5, 1 in ascending order.\nAnswer: -10, -6, -5, -2, 1, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0266 or -226?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s**2 - 3*s - 1. Calculate y(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135128129 to the power of 1\/2, to the nearest integer?\nAnswer: 11624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324 (base 5) in base 15?\nAnswer: 20e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 16*h - 20. Let i be b(-16). Let d be (-9772)\/i + (-6)\/(-15). What is the third derivative of 235*r**4 + 223*r**4 - 20*r**2 - d*r**4 wrt r?\nAnswer: -744*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 25*d - 47. Let z be q(-27). Let t = 804 + z. List the prime factors of t.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 7444 = -8*u. Factor 5*q + 28 + 21*q - u*q**2 + 3720*q**2.\nAnswer: -2*(q - 14)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 154644.5864 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 325 + -174. Suppose -528 - h = -7*u. What are the prime factors of u?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/120 + t**5\/10 + t**4\/24 - 2*t**3 + 108*t**2. Let s be h(-3). Solve 2*o = s - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953384421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2*w - 7)*((-4 + 4 - w)*(-2 - 4 + 1) - 4*w + 2*w + w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 equal to -657445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52643.\nAnswer: 61, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -270200, 35, -5 in decreasing order.\nAnswer: 35, -5, -270200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 0 + (-6)\/((-24)\/1276) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 260804875.5 and -32.6?\nAnswer: 260804908.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.44 + 32.2. Let v = t + 5.3. Suppose -3*f + 4*f = -1. Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 + p + 1. Let d be l(-1). Let w(n) = n**2 + 4*n + 1. Suppose 4*a + 4 = 3*a. Let h be w(a). Which is greater: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*2*(sqrt(85)\/sqrt(80) - sqrt(17))*1)**2 + -3.\nAnswer: 12*sqrt(17) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + -0.011593.\nAnswer: -6.011593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 0.25. Let h = 0.011 - 0.011. Which is the closest to h? (a) g (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80644009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/((w\/(w*w**(-1\/14)))\/w*w)*w)\/w)\/w*w)\/w)\/(w**(-2\/45)\/w)*(w\/((w\/w**(-19))\/w))\/(w\/((w**(-12)*w)\/w)*w))**(-35) assuming w is positive.\nAnswer: w**(19547\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1046 and 11202137?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5 = -5*y + 15, -3*w = -2*y + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 41*c + 2. Let m(p) = -20*p - 1. What is -11*m(k) - 6*z(k)?\nAnswer: -26*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1794 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 3. Suppose -4*o + w = -7*o + 53, w = 2*o - 32. Suppose -3*v + o = -4*v + 5*k, -4*v + 3*k = 0. Let z be (-2)\/(-1 + v) - -6. What is y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.597 - 0.403. Put 11, 0.1, f, 3 in decreasing order.\nAnswer: 11, 3, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1825562 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 94921, 379705, 854357, 1518877, 2373265, 3417521?\n\"Answer: 94934*u**2 - 18*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/12 and -137\/588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 291*l**5\/4 - l**4\/12 - 457*l**3\/6 - l**2 - 3546*l. Find the second derivative of d(w) wrt w.\nAnswer: 8730*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 30*d + 51. Let x be n(15). Suppose 3*t - f - 2 = 0, -2*f = -5*t + 3 - 1. Calculate the remainder when (x\/(-12))\/((-1)\/t) is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)\/sqrt(32))\/(sqrt(14)\/(-1*sqrt(7))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-7))\/(92\/((-13800)\/675))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(931) - (sqrt(931) + 0 + 1))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j**2 - 179*j + 15. Let d(h) = -7*h**2 - 178*h + 12. Give -5*d(l) + 4*o(l).\nAnswer: -l**2 + 174*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d = 4*u - 322, 2*u - 158 = -2*d. Suppose -30*v + 10 + u = 0. Solve 3*m - 2 = -0*m + 4*t, -5*m - v*t - 16 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996005 a multiple of 882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uajauaiaiait. Give prob of picking 1 t and 2 u.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let n be ((-4)\/(-6))\/(-4 - (-39)\/9). Let j(s) = -11*s**n + 21*s**2 - 16*s**2. Determine j(p(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1972458 and 8640.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9249*l. Let a(y) = -2*y - 1159. What is b(a(t))?\nAnswer: 18498*t + 10719591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428323 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5.5, -3988\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 7 - 3. Let l = 2 + t. Solve l*i + 1 = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**8\/84 + 4*i**7\/105 - i**6\/30 + 6*i**2. Factor t(z).\nAnswer: -4*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21173*-29.\nAnswer: -614017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340261771 divided by 1.\nAnswer: 340261771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l - 11. Let b(d) = 902581*d. What is y(b(h))?\nAnswer: 5415486*h - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1713?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83949?\nAnswer: 3, 27983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23711, -25986, -28261?\nAnswer: -30536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 7361.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -5, -22, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -57*x. Let t be q(-5). What is the greatest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2*r)**(13\/5)\/(r*r**(-2)*r)**(-26\/5) assuming r is positive.\nAnswer: r**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (291\/388)\/((-378)\/1572) and -1 - -1 - 157\/(-60).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y - 12. Let p(w) = -3*w - 4. Let c(q) = 21*p(q) - 6*x(q). Differentiate c(u) wrt u.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -450, 24, 5 in decreasing order.\nAnswer: 24, 5, 2, -4, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 263, -0.4, 0?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10207 - -33781. Suppose -3*f - 5*l + 17683 = 0, 3*f + f = -5*l + s. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(1\/(-70)*-25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide -2*(434\/(-4) - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 + 11 - (-10 - 0). Suppose m = -5*h + 10*h. Solve f + h*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4947 - 4923. Solve -32 - s = -28*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2. Let v be (1 - -1)\/(4 + -3). Let m(d) = d - 22. Let y(k) = v*m(k) - 22*x(k). Let c(o) = -12*o**2 + 22*o**2 + 17*o**2. Calculate y(c(w)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*a + 8336 - 38546 = 0. Suppose 0 = t - 2*t + 49. Let h = a - t. What are the prime factors of h?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 17*g**2 - 31*g + 36. Let t be z(15). Let f = 35 - 14. Calculate the highest common factor of t and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 6, 0 = 5*c + 4*x + x + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1305 and -11.9?\nAnswer: 15529.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 405558247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b - 4?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -183 - 567 = -i*q + 2*k, -q + 400 = 4*k. Let u = -253 + q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365773509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*k**2 - 131*k**2 + 476*k**4 - 938 + 479*k**4 + 541*k**4 with respect to k.\nAnswer: 5984*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3322*n**2 + 181*n + 3200034.\nAnswer: 6644*n + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 22*h**2 - 7*h. Let a(m) = -64*m**2 + 20*m. Determine 4*a(o) + 11*q(o).\nAnswer: -14*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:20 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (-16 - -55 - 92)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19414.378 + 19660.7. Let o = -253.39 + 7.39. Let b = o + g. What is b rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/6 (b) 3 (c) -77 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d + 12. Let m(v) = -7*v - 13. Calculate -5*m(j) - 4*o(j).\nAnswer: 3*j + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -11*z - j + 12419, 0 = 5*z - j - 31044. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-6 - -2) + -4) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 14829635.\nAnswer: 74148175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.511552 rounded to two dps?\nAnswer: 96.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z + 13 = 293 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1773276 - -175?\nAnswer: 1773473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1744 - -2716. Let l = r + -272. Let x = l - 363. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*w + 3 - 11, -2*h + 11 = -3*w. Suppose -h*k - 5 = -17. Let v be 2\/(-8) - (4 - (-37)\/(-4)). Solve k*q + 1 = -l + 2*q, -v*l + 19 = -q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*d - d - 16, 3*a = 2*d + 18. Suppose -2 = 2*y - m, -5*y + m = -0*m + 5. Let t = -1 - y. Sort 3, d, t in descending order.\nAnswer: 3, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3158526 (base 10) to base 16.\nAnswer: 3031fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2273.753 litres?\nAnswer: 2273753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -286? (a) 75\/52 (b) 1\/12 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 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: Is -69776566 greater than or equal to -69776567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 334 + -304. What is the second smallest value in 19, -0.4, n?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 - 3*b**4 + 7*b**4 - b**2 + (b - 1 + 1)*(2*b**3 - b**3 + b**3) + b**4 - 2 + 2.\nAnswer: 2*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 18. Let i = -4 - x. Suppose 62 = 2*v + 2*o, i*v = -3*o + 156 - 7. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + v**2 - v**3 + 10*v**2 + 3*v**2 in the form z*v**2 + b + h*v**3 + x*v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 2 + 2 + (5*d - 2*d - 4*d)*(3 - 4 + 3) + 3*d + 0*d - 5*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116817\/55 - -10612\/5. What is the common denominator of p and -104\/105?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:05 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18414, 17725, 17036, 16347, 15658, 14969?\nAnswer: 14280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/2 - 43*o**3 + 44*o**2 + 43*o - 87\/2.\nAnswer: -(o - 1)**2*(o + 1)*(o + 87)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/23)\/(p**(-15)\/p)*(p*p**(2\/25))\/p*p**(-33) assuming p is positive.\nAnswer: p**(-9779\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.41875 weeks to microseconds.\nAnswer: 52870860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (65 + -61)\/((-2)\/(-21)) and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2.5\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 52 = -2*o. Suppose -o*j - 410 = -23*j. Calculate the remainder when 199 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (1 - (-23 + 34)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4733, -4, 5 in increasing order.\nAnswer: -4, 5, 10, 4733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*t - 37*t + 153 - 4353 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 361652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64020 is divided by 10635.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 4493950027.\nAnswer: 4493950026.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 90433*f - 5959869. Calculate d(66).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**2 + 1. Let n(h) be the first derivative of 2*h**2 - 302. Calculate u(n(l)).\nAnswer: 176*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2188 = 44*n + 2760 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-16)\/(12\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab + 140?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, -1\/3, 3, 19\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154648333607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -233631 smaller than -233637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + -31. Let z be (a\/(-91))\/((-2)\/(-14)). Let v be (-7)\/((-7)\/(-3)) + z. Round v to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-21)*(-6)\/(-32)*4. Let d = -1\/30 + 37\/210. Determine p, given that -d*p**2 + 2\/7 - n*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676082 is divided by 685.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - n + 7*n + (-n + 3*n - n)*(1 - 13 - 2)*(2 + 2 - 3) + 69*n - 73*n - 54*n in the form b + p*n and give p.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) 2 (c) 6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 121008*d + 242011*d - 121003*d + 17*d**2.\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.28, 1\/4, 2\/17, -0.5?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g + 9. Let l(a) = -2*a**2 - 63*a - 60. Let f be l(-30). Suppose f*i = -38 - 52. Let s(w) = -4*w + 4. Determine i*r(o) + 7*s(o).\nAnswer: -7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 444 + -213. Let x(f) = 6*f - 39. Let y be x(10). What is the highest common factor of y and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h - 2 + 2*h - 1)*(-461 - 14*h + 461) to f + s*h**2 + d*h and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 976.5913mg in micrograms?\nAnswer: 976591.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 2 - 2 + 73*v - 83*v + v**4. Let s(h) = 2*h. What is s(f(o))?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4*q + 2 + 7, -4*x = -5*q + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + (-84)\/18)*(-1 - -61). Suppose -3*r = 7*r - x. Find the second derivative of -2*o**2 - 11*o**2 + 17*o + o**r - 2*o**2 wrt o.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 - -16.1. Let h = 14 - v. Sort 5, h, -3.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 71*t + 51)*(-t**2 + 4*t**2 - t**2 + 0*t + 0*t + 2*t**2 + (0*t - 3*t + t)*(-2*t - t + 2*t) + 0*t**2 + t**2 - 2*t**2).\nAnswer: -355*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -2.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/285 and ((-55)\/(-2280))\/((-11)\/44).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -1\/8 (b) 0.2 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(sqrt(245) + 2 + sqrt(245) + -3 + (sqrt(245) - (sqrt(245)*-1 + -1 + sqrt(245)))))**2.\nAnswer: 8822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:09 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002288 rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2 - q - 1. Let o(i) = 7*i**2 + 6*i - 6. Let u(x) = -8*x**2 - 7*x + 7. Let r(d) = 7*o(d) + 6*u(d). Give -h(m) + 5*r(m).\nAnswer: -2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 1) + 6 + -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2\/17, -0.74 in decreasing order.\nAnswer: 2\/17, -2\/15, -0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 + 185*l**2 - 69*l - 435. Determine y(-62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 966157914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -25.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11043*z + 2401*z + 3367*z to f + m*z and give m.\nAnswer: 16811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2)**45)**28 assuming o is positive.\nAnswer: o**3780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 4:29 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 88*m**2 - 2*m + 3 + 96*m**2 + 80*m**2 - 253*m**2. Let c(v) = -3*v. Determine b(c(p)).\nAnswer: 99*p**2 + 6*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3327*y - 1063*y + 528*y - 2242*y**2 wrt y.\nAnswer: -4484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0*z**3 - 1\/24*z**4 - 1\/60*z**5 + 0 - 3*z**2 + 0*z. Solve b(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 64?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 490097*y**2 + 22507*y**2 - 99923*y**2 - 60406*y**2.\nAnswer: -627919*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 38124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63966?\nAnswer: 2, 3, 7, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, -1, -88 in decreasing order.\nAnswer: 5, 0, -1, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 410, 617?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233091807 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 23*y**4\/24 + 5*y**3\/6 - y**2. Let p be b(6). Let o be ((-52)\/(-16))\/(2\/8). What is the greatest common factor of p and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1242 divide 80315172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -331.38784 and -0.174?\nAnswer: 331.21384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 102.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/90)\/((20\/15)\/(8\/(-12)))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131022 + -131002?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 5)\/(-193 + 196)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.8 + -0.2. Let y = z - -10.97. What is y rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-48)*(652 - -2). Calculate the greatest common factor of 6 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t + 1. Let m be y(-2). Suppose -5*p = -5*h - 0*p, -m*p = -h + 4. Is 121 - (3 + -3 - h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g*l*u*z**2 - 7*g*u*z - g*z**2 - 3*g - 12*l*u*z**2 + l + 2*u*z wrt z.\nAnswer: 6*g*l*u - 2*g - 24*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 2:51 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28.4, -8511, 0.4 in increasing order.\nAnswer: -8511, 0.4, 28.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 49*r**3\/3 - r**2\/2 + r - 1. Let x(a) = -2*a - 9. Let t be x(-5). What is the tens digit of n(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1216659607 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m - 73. Let u(g) = g - 37. Let d(p) = -2*i(p) + 5*u(p). Let o(y) = 3*y + 2. Let q(f) = f + 1. Let b(a) = -o(a) + 2*q(a). Determine d(b(l)).\nAnswer: l - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3691 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9898373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7919*h*r*y*z**2 + h*r*y + 349*h*r - h*y**2 - 2*h*y*z - 8*h - 108*y**2*z**2 - 128*y**2*z wrt z.\nAnswer: 15838*h*r*y - 216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3498 - 3403) + (-2 - 83)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2\/9, 0, 5, -70?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-64)\/(-6))\/(2\/180) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9530375, -9530372, -9530369, -9530366, -9530363, -9530360?\nAnswer: -9530357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -849671 = -46*f - 37*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 3, 224?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 15*q + 2)*(2 + 1 - 1)*(-194*q + 99*q + 97*q - 27 + 185) to the form c + h*q + w*q**2 and give h.\nAnswer: 4740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131402 + 0?\nAnswer: 131402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxqkqkxkkkqq. Give prob of sequence qk.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 7)\/(-4) - -1. Let d = 1 - s. Suppose 5*x - d*x - 60 = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3. Suppose -10*y + 8 = -2. Let g be t(y). Solve -4*r - 20 = 3*j, -g*j - 3*r - 14 = -0*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5666*a**3*d - 7356*a**3 + 8*a**2*d - 38*a**2 wrt d.\nAnswer: 5666*a**3 + 8*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246.3746083 rounded to 1 decimal place?\nAnswer: -1246.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-42)\/(-28) - (4 + 4 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/103495 and 79\/22029650.\nAnswer: 154207550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1427503 tonnes to milligrams.\nAnswer: 142750300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -5, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**2*l**3*r**2 - 6*d**2 - d*l**2*r**2 + 4*d*l**2 + 11*l**3*r**3 + 2*l**2*r**3 wrt l?\nAnswer: -18*d**2*r**2 + 66*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(-106 + 50 + 46*m + 55) to the form c + d*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 877897, 877900, 877903, 877906?\nAnswer: 877909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p - 10 = 80 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/(11390\/(-408))*70\/(-63).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -4. Let x = b + 24. Suppose -890 = -5*r + 5*k, 657*r - 5*k + 342 = 659*r. Calculate the greatest common divisor of r and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*n - 87*n + 9383 + 2622 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -294*c**2 - 261*c**2 - 28*c**3 - 23*c**3 - 21*c**3 + 2*c**4 + 115*c**2 wrt c?\nAnswer: 48*c - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*q + 344, 4*q + 5*p - 23 = 272. Let v = 85 - q. Suppose 0 = 2*c + 2*y - 76, -c = 3*c - 4*y - 184. What is the remainder when c is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41443060 rounded to the nearest ten thousand?\nAnswer: -41440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 21*z + 201. Calculate x(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28\/15*j**3 + 30*j**2 + 34\/5 - 436\/15*j = 0. What is j?\nAnswer: -17, 3\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**5*j*j*j\/(j**7*j)*(j**(-1))**(-1\/41) assuming j is positive.\nAnswer: j**(42\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 31, 3, 0, 3\/16 in descending order.\nAnswer: 31, 3, 3\/16, 0, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365*i**2 - 80 wrt i.\nAnswer: -730*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 o, and 1 f when three letters picked without replacement from {f: 1, t: 1, v: 1, o: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 + 2*n**5 - 6*n**5 + (-2*n + 4*n**4 + 2*n)*(-1 + 1 + n)*(-4 - 3 + 6).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u = 26*u + 5928. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/75799 and 69\/5929534?\nAnswer: 1357863286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 9:13 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 4. Let f be i(5). Let p(v) = -v**2 - 11*v - 9. Let w be p(-6). Calculate the highest common factor of f and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188486 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -386054957 take away -4?\nAnswer: -386054953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113 - -416018?\nAnswer: 416132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144671244 divided by 6.\nAnswer: -24111874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 36*d + 249. Does 39 divide i(51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c**3 - 11*c**2 + 19*c + 339. Give s(-5).\nAnswer: 2344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -16, -3396.\nAnswer: -3396, -16, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, -903, 123, 2\/3, -0.3, 0.5?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 156.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 274858 and 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -92840000 to the nearest one million.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 155483, 155484, 155485?\n\"Answer: i + 155482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) -257 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 54.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.2. Let f = 2.1 - 2. Let w = -2 - -1. What is the nearest to w in f, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -918 - -936.017.\nAnswer: 18.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/126 + -14*9\/(-567). Which is the nearest to -1? (a) 5 (b) 0.5 (c) l (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 501912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*q - 304, 2*g + 0*g + 2*q - 198 = 0. Let l = 289 + g. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**2 + 2. Let i(f) = 15*f**2 + 5. Give -15*b(a) + 6*i(a).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) -4 (c) 5.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -2975, -9327, -21513, -41477, -71163, -112515?\nAnswer: -167477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/9 + 1099336*s\/9 - 75533727556\/9.\nAnswer: -4*(s - 137417)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p - 3*p - 29*p)*(-3*p**4 + p**4 + 4*p**4).\nAnswer: -48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6360, 12729, 19098, 25467, 31836?\nAnswer: 38205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19930 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from kiikkknikkikkiikikkk?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o + o + 3*o + 0*o + 0*o + (2*o + 3*o - 6*o)*(0 + 3 - 4) + 2 - 2 + 2*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -6*g + 25*g + 132 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*x + 40. Which is the nearest to 1? (a) -1 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**6\/105 + 3*c**5\/70 - c**4\/21 - 4*c**3\/7 - 8*c**2\/7 + 3*c + 2. Let w(y) be the first derivative of x(y). Factor w(b).\nAnswer: 2*(b - 2)*(b + 1)*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -289115?\nAnswer: 289118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 181387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmh when three letters picked without replacement from mmmhhmhmhhhmhmhh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-1650))\/(1*(-4)\/(-6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 20976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.64527 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (3 + 1 + -7)) + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 107319 and -0.2.\nAnswer: -21463.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -18. Suppose 560 = 3*j - r, k*j - 2*j - 552 = -3*r. What are the prime factors of j?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (29\/(-2))\/(3\/(-6)). Let a = n - 21. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-65991)\/54)\/(44\/(-6)). Let i = -1812\/11 + p. What is the common denominator of i and 18\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 3*t + 0*t)*(0 + 4 + 5)*(2 - 2 + 2*t)*(-9 - 4 - 9).\nAnswer: -1980*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(200) + sqrt(200) + sqrt(200) + (sqrt(200) - (-2*sqrt(200) - sqrt(200)) - sqrt(200)))*6)\/(4*(sqrt(16) - sqrt(4))).\nAnswer: 225*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050194 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.8864*2.\nAnswer: -75.7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17559*u**3 + 1896375*u**2 + 324*u.\nAnswer: 3*u*(u + 108)*(5853*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(-1\/7)*n)\/n)\/n**(-11))\/(n**(-8)*n**(-6)) assuming n is positive.\nAnswer: n**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -2 (c) 0.3 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -480 + 846. What is the greatest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 11531 - 2184 = 0. Let j = 11606\/11 - v. Let u be -1 - (0 - 0) - 2. Which is the third smallest value? (a) j (b) 1\/15 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -751 and -750 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/437 and 12\/1909?\nAnswer: 36271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 3324*l + 866078.\nAnswer: -2*(l - 229)*(l + 1891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**3 - 2*h**3 + 4*h**3 + (1 - 3*h - 1)*(4*h**2 + h**2 - 3*h**2))*(-9 - 12 + 5)*(1 - 1 - 2) as k + o*h**3 + u*h + a*h**2 and give o.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*y**2*z**3 + 591*k*y**2*z + 6*k*y*z**3 - 3*k*y*z**2 - 4*k*y - k*z wrt y.\nAnswer: -2*k*z**3 + 1182*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/24 + k**3 + 117*k**2. Determine g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*s = 326208 + 467586, -5*l - 2*s + 1323004 = 0. What is l rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkeektteete. Give prob of picking 3 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1190\/(-204))\/35)\/(((-3)\/1)\/(56\/2))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*d + 130 - 17 = 0, 108 = g - d. Suppose 4*x - g = 17. Let q = -4 + 24. What is the greatest common factor of q and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 + 27*n**3 + n**2\/3 - 27*n.\nAnswer: -n*(n - 81)*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -2598851 in increasing order.\nAnswer: -2598851, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*q + 8495 - 8495 to u*q + i and give u.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2050 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 196a?\nAnswer: -1970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + (-130)\/(-2). Let l = -46 + q. Calculate the lowest common multiple of 12 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = -3*m - 0, -2*m + 5*v + 2 = 0. Suppose 2 = -5*g + 37. Solve 4*n - g - m = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -120645*p - 1568320. What is y(-13)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 656 + -513. Suppose 2*m - 3*b = 9 + 2, -4*m + 2*b = -42. What is the greatest common divisor of q and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (52\/4 + -7)\/((-6)\/(-32)). Suppose 96 = 3*l - 4*s, -l - 3*s + 13 = -f. Calculate the remainder when 128 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ncaacncaaaaafn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -28. Suppose j = 3*b - 77 + 12, 48 = 2*b + 4*j. Calculate the remainder when h is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0379, -0.2, 3, 0.\nAnswer: -0.2, 0, 0.0379, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -159*c + 143*c. Solve n - 10 = -c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/(20\/630). Solve a = -3*k + 3*b + 9, 4*k + 12 = 2*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323253 at least 10323253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 6. Let v(d) = -d**2 - 7*d + 7. Give 7*u(z) - 6*v(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h - 1\/6*h**4 + 4\/3*h**3 + 0 + 4*h**2. Is p(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 14 + 1 = 0. Let p(u) = 2*u**2 + u**a - 10*u**2 + 7*u**2 + 2*u. Let i be p(3). What is the highest common factor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 490 and 252?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 603 - 598. Solve -y*q = 7*q + 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008465 rounded to 5 decimal places?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2094 and 8?\nAnswer: 8376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/8*222\/(-518). Suppose -4*j + 6 = 2*b, 0*b - 6 = -5*j - b. What is the closest to j in -0.1, -1\/4, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 17*f = 11*f - 1026, -801 = -3*s + f. Suppose 2*q - q = 491. Let t = q - s. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299 + 304. What is the third derivative of 9*s**2 - s**3 + 6*s**3 - 7*s**3 - 7 - u*s**3 wrt s?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 69, 137, 271, 495, 833, 1309?\nAnswer: 1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -202*(-2 + (-1)\/((-6)\/9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 5*w + 188. Does 43 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 604 + -599. Sort -1, k, 29 in increasing order.\nAnswer: -1, k, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 128 = -4*s, 0 = 3*s - 0*s + j + 95. Let y = s - -35. What is the third derivative of 5*n**y + 8*n**2 + 2*n**2 - 9*n**2 + n**2 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 306, -5, -0.07, 5, -1\/2, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 less than 427023?\nAnswer: 426930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 1\/2*x**2 + 0*x - 1\/30*x**3 + 1 - 1\/60*x**4 - 1\/300*x**5. Let n(k) be the second derivative of w(k). Factor n(r).\nAnswer: -(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/9*(-55)\/(-1375))\/((-6)\/18). Determine g so that 180 + m*g**2 + 12*g = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 2*s - 81 - 62.\nAnswer: 2*s + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93\/66778 + 5\/386. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39127.1 rounded to the nearest 100?\nAnswer: 39100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 16*k - 28.\nAnswer: -(k - 14)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -803\/6 - -267\/2. Which is the third biggest value? (a) -7 (b) -3 (c) 2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -0.06, 8\/723, -0.1, -3\/5, 5, 1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 10. Find the second derivative of -2*o**2 + 3*o**2 - c*o**2 - 13*o wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1653 and 101935.\nAnswer: 305805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 562, 1050, 1548, 2062, 2598, 3162, 3760, 4398?\n\"Answer: f**3 - f**2 + 484*f + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -106, -203, -354, -577, -890, -1311, -1858?\n\"Answer: -3*b**3 - 40*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose 86 = 4*o + 2*w, w = -2*o + 3*o - 17. Suppose o = -4*g - 0*g. Sort 1, g, h in decreasing order.\nAnswer: h, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*2*(-12)\/27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w - 8. Let m = 35045 + -35050. Determine y(m).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/15*(1 + 2). Let x = m + 21. What is the remainder when 137 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + 47. Let p = y + -90. Suppose p + 1 = 4*g - 3*i, 4*g + 3*i - 14 = 0. Solve -g*q - 1 + 7 = 2*a, 0 = -q + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6698 < -6699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0506633 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -19*y**3 + 4*y**2 + 4*y + 12. Let x(k) = 18*k**3 - 5*k**2 - 5*k - 12. Let g(o) = 5*p(o) + 4*x(o). What is the derivative of g(w) wrt w?\nAnswer: -69*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7423, 14774, 21995, 29020, 35783, 42218?\n\"Answer: -11*s**3 + s**2 + 7425*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -548870 and -2.7?\nAnswer: 1481949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 6*m + 67 - 34 - 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00245520285 to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 128 = -m, 3*h - 376 = -5*m. Let j be h\/(-11)*(-1)\/4. Solve x = 4*c - j*x, 2*x - 12 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/40)\/((-3)\/9)*5\/15?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 0.84935.\nAnswer: -9.34285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 - 460\/30. Let o = 13 + c. Let f(i) = 0*i**2 - 1 + 2*i + i**2 + 2. Calculate f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1302 + -1014?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o + 7. Let l be a(-7). Suppose 4*i - 3*h + 7*h = l, 0 = -4*i - 5*h + 115. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118486*o*t**3 + o*t**2 - o*t + o - 87*t**3 - 2*t**2 + 474247*t - 2 wrt t?\nAnswer: -710916*o - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -8. Calculate the common denominator of ((-378)\/(-15))\/(1*x) and -69\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = 2. Let w be (-8)\/12*(-8 - (-2)\/1). Suppose 2*d - 4*c + 12 = 0, 5*c = -2*d + d + 15. Put b, -5, d, w in descending order.\nAnswer: w, d, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -3226.\nAnswer: -20\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by 1.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-41 - -14)\/((-5)\/10). Let w(t) = -50 - 45 - 4*t - k - t**2 + 162. Determine w(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*p + 19, x + 10 = 3*x. Solve 5*a = -p*l - 8, -3 + 2 = 2*l - a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 7*o + 13. Calculate the remainder when 4 is divided by q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29708100 divided by -99027.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1797, 1, -2 in increasing order.\nAnswer: -1797, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 25*k + 26. Give b(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 16, g: 4}. Give prob of picking 3 g.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273 - 197. Let q(x) = -5*x - 4. What is the remainder when m is divided by q(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine fifths of a millennium?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*j - 6*b - 72*j**4 - 4*j**3 + 74 wrt j.\nAnswer: 2*b - 288*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -423 and -70.5601.\nAnswer: 29846.9223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 495.9 - 848. Let r = -352 - u. Which is the second smallest value? (a) -2 (b) r (c) 0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 13483456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1053 and 25\/216.\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - -1 - (473 + -471) - 19?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170485.\nAnswer: 5, 634097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 6*y - 7. Let i be k(1). Which is the second smallest value? (a) 0.2 (b) i (c) -45\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -21. Let d(w) be the first derivative of w**4\/2 + 8*w**3\/3 + 3*w**2 + 2*w + 4. Let s be d(o). Solve -2*z + t = 1, -z - 3*t = -s*t - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*d + 98*d + 76*d + (-7*d - 2*d - d)*(3 - 2 + 2).\nAnswer: 246*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 339.2 and -111895.\nAnswer: -111555.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = k. Suppose 2*y - 1 = 3*n + 4*y, 4*n - k*y = -6. List the prime factors of 4\/6*(n + 19).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*37\/(-2553)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5253? (a) -0.2 (b) -1\/3 (c) -0.05 (d) 2\/9 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1805*-0.2.\nAnswer: -0.0361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-20) - 50168\/(-10) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - p**2 - p - 3. Let y be j(2). Let l(o) = -1. Let s(t) = t + 1. Give y*l(z) + 4*s(z).\nAnswer: 4*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*h**2 - 156*h**2 - 155*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1266)\/312 + 3 - 105\/(-140).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -518 at most 1.68671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 343 and 7399?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6061 - -6?\nAnswer: -6052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.17? (a) 4 (b) -2\/15 (c) 0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, -18, -86, -224, -456, -806, -1298, -1956?\n\"Answer: -4*j**3 + j**2 + 3*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 6980*z + 12180100.\nAnswer: (z + 3490)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18402191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4263, -139.\nAnswer: -4263, -139, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4595b (base 14) in base 5?\nAnswer: 20403404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5068*x - 5065*x - 630 = 0. Calculate the lowest common multiple of 420 and x.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207764.\nAnswer: 2, 13, 42457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 32*l**2 - 7*l + 2. Let b be x(-5). Let s(v) = -38*v**2 + 6*v - 2. Let h be s(4). Let f = h + b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298106589, -596213175, -894319759, -1192426341, -1490532921, -1788639499, -2086746075?\nAnswer: -2384852649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**28*n*n)\/(n**29\/n)*(n**6)**(-11\/4) assuming n is positive.\nAnswer: n**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1582865621 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.76833 nanometers to centimeters.\nAnswer: 0.000008476833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*1*3\/(-441)*34\/(-17)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 4*c + 4*c + (2 - 1 + 0)*(3*c**3 + c**3 + 6*c**3) to the form n + d*c**3 + s*c + g*c**2 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -245*x - 215*x - x**2 + 552*x in the form a + k*x + v*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 22*x + 9300 = 32*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43943993 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10123 + 2?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 187501910 to the power of 1\/3, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 8*s + 301756 = g, -s + 60371 = -2*g. Is s a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 47362*w + 37774. Let x(s) = -1754*s - 1399. Let p(f) = 5*h(f) + 136*x(f). What is the derivative of p(j) wrt j?\nAnswer: -1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54.9872 and -74111.\nAnswer: -74056.0128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74070 = 5*c - 39395. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150818 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, j: 1, w: 5, g: 1}. Give prob of picking 1 a, 1 w, and 1 f.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1867\/77 - -273\/11. What is the nearest to 0.06 in 3\/5, -0.5, f, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s + 13. Give y(-17).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*(-2)\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 10. Suppose 0 = -m - c*m + 138. Let b = 66 + m. Calculate the highest common factor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 - 99216829?\nAnswer: -99216829.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:56 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from iplizipzlizziiliz?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 1. Let a(d) = 14*d**3 + 13*d**2 + 43*d - 4. Let o(l) = -a(l) - 6*x(l). 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: Calculate 20 + (-13 - (28 - 51)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 227 + 401a?\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/13 (b) 1\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + 86. Suppose -126 = 5*a - 2*a. Let o = d + a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499 + 499 + 15*k - 4*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (346401\/594)\/((-2)\/(-12) - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 31*g**2 + 66*g - 471. Determine w(-28).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17007*m + 16971*m - 10*m**3 - 33977*m - 5*m**3.\nAnswer: -15*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 253?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 710\/8 - ((-396)\/48 - -8). Is 84 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 23 - 32*v**3 + 31*v**3 + 0 + 11 + 11*v**2 - 2*v. Let q(b) = b**3 + 4*b**2 - 2*b - 2. Calculate the smallest common multiple of t(11) and q(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661143 (base 7) in base 9?\nAnswer: 1481870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -i + 11*l - 8*l, 2*l = 4*i - 20. Let y(g) = g + 2. Let d be y(2). Find the second derivative of -13*c**5 - 2*c**d + 15*c + 2*c**4 + 0*c**i wrt c.\nAnswer: -260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 35 + 13 = 0. Let h(y) = y**2 + 4*y + 2. Let c be h(-4). What is the second biggest value in z, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 6:32 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -5, -8?\n\"Answer: -3*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 96057 * 3\nAnswer: 288171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 342 - 2*b + b**3 - 3*b**3 - 3*b**2 + 2*b**3 - 339. Let a(x) = x**3 - 7*x**2 - 5*x + 7. Give 2*a(j) - 5*r(j).\nAnswer: -3*j**3 + j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 160, 189, 230, 283, 348, 425?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, -24170, 0?\nAnswer: -24170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 2 (c) 0.3 (d) 20 (e) 1\/6 (f) -236\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4301734 is divided by 146.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 421*v - 6519. Determine w(18).\nAnswer: 1059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122213827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 956057167 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-8)\/6 - -1). Let p(w) = -w**3 - 4*w**2 - 4*w + 1. Let a(f) = f + 30. What is the lowest common multiple of a(-16) and p(x)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2729811?\nAnswer: 3, 7, 61, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -75, -117, -197, -327, -519?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66218982?\nAnswer: 2, 3, 11036497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9) + 5 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89633 is divided by 217?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17899?\nAnswer: 7, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-18))\/(835\/(-668))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**6\/6 - 7*q**5\/10 + q**4\/8 + 7*q**3\/6 - 3*q**2\/4 - 591. Find v, given that j(v) = 0.\nAnswer: -1, 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200.7 + -21.3. Let z = 222 + q. Which is the third biggest value? (a) -0.2 (b) 3\/4 (c) -14 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*u + 1236*u + 10786 = 52674 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = z - 20585, y = 110*z - 111*z + 20603. List the prime factors of z.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.2017263 rounded to one dp?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3873*k**5 - 99*k**2 - k wrt k.\nAnswer: 232380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11242, 12325, 13406, 14485, 15562?\nAnswer: 16637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125188 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b (base 13) to base 8.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65731820467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.036 and 2.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (11 + 11 + -10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 6 + 2)*(-56*s + 56*s + 7*s**2) to the form i*s**2 + n + d*s and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l + 4*r = -34, -4*r - 28 = 2*l. Is 219\/7 + l\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 + 72285*q**3 - 14*q**2 + 9000521*q?\nAnswer: -20*q**3 + 433710*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25645419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = 4. Suppose u - 5 = -0. Suppose 3*q + 11940 = u*b - 4880, -n*q - 22408 = -2*b. Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a**2 + 123 - 123)*(a**3 - a**3 - a**3) - a**5 - 5*a**3 + 5*a**3.\nAnswer: -18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (6*sqrt(180)*1)\/sqrt(4) + -2))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/35? (a) 0.4 (b) 4 (c) -0.1585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 116?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/119 - (1 - 3\/3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21547647 and 33518562?\nAnswer: 301667058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - 33*y**2 - 26*y - 9. Let l(j) = -j**3 - 11*j**2 - 9*j - 3. Let f(t) = -2*b(t) + 7*l(t). Determine f(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + 181. Suppose 4*j + v = 9*j. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (23 + -13 + 3)) + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1275.5 + 1276.2071. Round d to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/120 - 3*v**5\/20 + v**3\/3 - 5*v**2. Let f be x(-9). Factor 3*u - 2*u**2 + 1 + 3 - 13*u + 10*u**2 - f*u**3.\nAnswer: -2*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 392684701086?\nAnswer: -392684701086.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -j - 3*j. Let d be (-18 + 5 - 4)*(3 + -2). Let q = d + j. Solve 2*r - q = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Calculate (-3)\/((33\/24)\/(19\/152)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(540\/(-176) - -3). Let h be 2 + ((-50521)\/(-24) - j\/33). Let r = h - 2108. Is r >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 10*z - 7. Let w be x(-9). Factor t**2 + 0*t + 2 - 4*t**w + t.\nAnswer: -(t - 1)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 852 + -829. Suppose -k*j + 566 = -21*j + a, -835 = -3*j - 5*a. What is the greatest common divisor of j and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czz when three letters picked without replacement from zzccccz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/13)\/b**5*(b**(2\/7)*b)**25 assuming b is positive.\nAnswer: b**(2484\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 85\/10*10*1. Suppose t - q = 5*l + 60, 5*t = -2*l + 752. Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 5*y - 15)*(1 - y - 1 + (-3 + 1 + 5)*(730 - 730 - 15*y)) + (0*y + 2*y - 4*y)*(2*y + y - 2*y) + (-1 + y + 1)*(3*y - 2*y - 3*y).\nAnswer: 226*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 87*a - 311. Let v be c(39). Solve -193*z = -185*z - v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a37 - -53794?\nAnswer: 57720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45, 74, 81, 66, 29, -30, -111?\n\"Answer: -11*r**2 + 62*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301262 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(3\/2)\/d))**(8\/7))**(-25\/3) assuming d is positive.\nAnswer: d**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2956 is divided by 330.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - 29) - -38.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -11, -5, -3, 4, -4 in descending order.\nAnswer: 133, 4, -3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = -2*u + 53 + 109 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**(-7)\/(s**(-3\/4))**(2\/43) assuming s is positive.\nAnswer: s**(1809\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 96*f + 3317. Give q(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221111 (base 5) to base 11.\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqysvyyqymmq. Give prob of sequence qqv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -89.99995. What is w rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.035 + -2.965. Sort 3, 4, r, 1\/3 in descending order.\nAnswer: 4, 3, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1430670540?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let s(g) = -g. Let o(j) = 34*j**2 - 8*j - 4. Let m(z) = y*o(z) - 3*s(z). Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 18*r**2 - 14*r + 29. What is the smallest common multiple of y(-17) and 32?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379513.\nAnswer: 1379513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6139806001 to the nearest integer?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -84*i + 8. What is the remainder when 39 is divided by d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = 2*d - 2, -5*k - 13 = -d. Suppose d*s = 45 + 66. Calculate the greatest common factor of 37 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p. Let t = 50 + -35. Suppose -5*j = 4*h - 63, -h + 50 = 3*j + t. Let q(z) = 21*z - 14*z - j*z. Give q(x(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 21539 and -2855 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*((-4)\/(-8) - 1). Suppose n = -27*k + 7*k + 2500. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170543831599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = -l - 0, 5*l + 5 = -3*x. Let p(h) = 4*h. Give p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:51 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12\/48*(-3)\/(3\/3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11326 (base 9) in base 4?\nAnswer: 1312011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*q = 1285 - 2000 + 8397 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -16041 in descending order.\nAnswer: 6, -2, -16041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 56 = 2*u. Suppose -2*d = 4, 16 = 5*y + u*d - 190. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 127635, 0, -49 in ascending order.\nAnswer: -49, 0, 127635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**3 - u**2 - 20*u - 47. Is h(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77 + 0?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b02 - -1?\nAnswer: -b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 209232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4605873 and 41452857.\nAnswer: 41452857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3347b (base 12) to base 11\nAnswer: -47156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30323755 (base 8) to base 15\nAnswer: 866456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 3219756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 2}. What is prob of picking 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3)*7\/(-2). Suppose -12*o - 21*o = -231. Suppose -2*u - 3*b = o, -b = -u + b - x. Let n(c) = -c**2 - 6*c + 2. Determine n(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/112 and -17\/280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -63 + (121 - 77) + (1 - 79).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 1. Suppose j - 3*j + i = 2*h, -5*h + 65 = -4*j. Find the second derivative of -33*k**3 + 33*k**3 + h*k - 7*k**4 wrt k.\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (0\/(-2))\/2. Suppose k + 3 = z*k. Solve k*u - 2 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -532*c - 4710. Let a be h(-9). What is the highest common factor of a and 6942?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 1, z: 1, x: 2}. What is prob of sequence xxz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {l: 2, e: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 138*q**2*u**3 + q**2*u + 224*q**2 wrt u?\nAnswer: 414*q**2*u**2 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1954 divide 150800154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 64. Suppose 81127239 = -a*t - 203072761. Round t to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/9 - 405584*l**2\/9 - 6853964014*l\/3 + 4569489604.\nAnswer: -2*(l - 2)*(l + 101397)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 2*a - 1. Let n be l(-2). Let i = 66 + -108. Let b = 47 + i. Put b, 2, n in increasing order.\nAnswer: 2, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2726, 1525, 324, -877, -2078, -3279?\nAnswer: -4480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q*w**2 - 150307*q - 237*w**3 - 16*w with respect to w.\nAnswer: -4*q*w - 711*w**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.126 (b) -74 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 27 + -13 - 4 - -38\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 7) to base 13\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1803*a - 2210*a + 13 - 17.\nAnswer: -4013*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*y - 17 = 126*y + l, y - l = 1. Sort -7, y, 79, -5 in increasing order.\nAnswer: -7, -5, y, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -120033070?\nAnswer: -480132280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -214414?\nAnswer: 214433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-8))\/(((-2)\/(-13))\/(396\/(-429))).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5 - 215*m**3 + 870*m**2 + 3184*m - 3840 = 0 for m.\nAnswer: -16, -3, 1, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/447083 and 13\/931.\nAnswer: 59462039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 22 = -4*s - 58, 2*s - 2*p - 2 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 2. Suppose p + 8 = 4*f. Suppose -4*r = 5*u + 5, f*u - 3*u = -r. Solve 0 = 2*x - r*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*c - 5*c - 8*c + 51*c - 573 - 9*c to g*c + a and give a.\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -24. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afp when three letters picked without replacement from {f: 1, r: 3, a: 1, p: 1, z: 2, b: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k, 2*c - 4 = 5*k. Suppose 4*g + 10 = c*i, i - 4*i = 2*g - 15. Suppose g = -6*h + 3*h - 4*v - 1, -3*h + 5*v = -35. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(-1\/28)*z*z)\/z))\/z*z\/(z\/z**18)*z\/(z\/((z\/(z\/(z*z\/z**(-2\/15)))*z)\/z)*z)*z*z*z**(-16\/3)\/z assuming z is positive.\nAnswer: z**(1787\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 l when three letters picked without replacement from {l: 2, e: 11}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*d = -5*p + 233*d - 35, -3*p + d = 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.1, 2 in decreasing order.\nAnswer: 2, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**6\/80 - w**5\/40 + w**4\/16 + w**3\/4 - 19*w**2\/2 + 25. Let d(u) be the second derivative of j(u). Factor d(v).\nAnswer: -3*(v - 1)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:01 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-15)\/(-9))\/(-5))\/((-7)\/1701). Let l = -245\/3 + u. Let t = -1 + 4. Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*v - 4*k = -83 + 42, 5*v - 2*k - 29 = 8*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -271.6495 and 142318.\nAnswer: 142046.3505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 5*a**2 - 5*a - 6. Let z(w) = -w**3 - 4*w**2 + 4*w + 5. Let u(b) = -9*b - 59. Let i be u(-7). What is i*s(r) + 5*z(r)?\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 12) in base 5?\nAnswer: -1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98075 and 350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + (7125\/(-20))\/(-15). Let c(b) = -2*b + 53. Let q be c(g). Solve -3*y - 9 = 3*z, -2*z + q*y + 9 = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:36 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(4 + 17\/(-3)). Solve 18 + 3*a - 3 - 3*a**3 - 20*a**2 + b*a**2 = 0 for a.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266339, 266647, 266955, 267263, 267571?\nAnswer: 267879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let k(t) = 749048888*t**2. Give k(f(c)).\nAnswer: 749048888*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.7995 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 437421*a**3*n**3 - 43053*a**2*n**3 + 5*a*n**3 wrt a.\nAnswer: 2624526*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 41. Let w(s) be the second derivative of -s**3\/6 + 18*s. What is w(l(n))?\nAnswer: -2*n - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 1)*(1413 - 1413 + 50*a) + 1 - a - 1)*(25*a - 42*a + 20*a).\nAnswer: -153*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 10*b**2 + 11*b - 1. Let z be c(6). Let y = 82 + z. What is the greatest common divisor of y and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 654*z**3 + 2*z - 3. Suppose 200*g - 199*g = 1. What is the tens digit of p(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*j = -135 + 207, -4*i - 4*j = -24. Solve -o = -u, 0 = -11*o + i*o + 5*u - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 5 (c) -0.1 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - -4) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 795080 and 152900.\nAnswer: 3975400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 113 (b) 26 (c) -1\/10 (d) 0 (e) 2\/7 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 divided by 3?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 62. Let i be a(18). Let c be (-5)\/20 - 32722\/i. What is c rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51330834.\nAnswer: 2, 3, 105619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -274515.979 to the nearest 1000.\nAnswer: -275000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 70537203?\nAnswer: 2116116.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10 + 110\/350?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -57)\/((-8)\/12). Suppose 0 = 4*b + 2*a - 7*a - 135, -2*b + y = 5*a. Calculate the remainder when 135 is divided by b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -555414, -1110944, -1666474, -2222004, -2777534?\n\"Answer: -555530*k + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13944\/(-252) + 56)*-1*(-169)\/224 and -93\/896?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -502358\nAnswer: -1\/502358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 u when four letters picked without replacement from nunnneuunnnneuuueen.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001001 - 10010011101000100?\nAnswer: -10010100111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1585, 1582, 1579, 1576, 1573, 1570?\n\"Answer: -3*j + 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255741 by 831.\nAnswer: 85247\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -22731 - 55389. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 6705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**2 - b - 1. Let j be h(-1). Let o = 13 - j. Suppose 0 = -z - 4*a + 16, 4*z - o*a - 17 = 137. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -0.2, 848\/3, -4, 1.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6700073 by -10.\nAnswer: -6700073\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 50 = -4*a. Let s = 52 - a. Suppose -3*p + 3*d + 72 = -0*p, 0 = p - 2*d - 28. Is p >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 4*s**3\/3 + 5*s**2\/2 - 1. Find the second derivative of w(n) wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -595.6 + 595.393352. Let g = 0.0733523 - z. Let a = -0.28 + g. Round a to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11923663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1 + sqrt(275) - 1*(sqrt(99) + sqrt(99)*2 - sqrt(99))) + -6*(sqrt(44) - sqrt(44)*3)*3 + -3)**2.\nAnswer: -284*sqrt(11) + 55455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131380936 to the power of 1\/2, to the nearest integer?\nAnswer: 46167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(392\/(-462)*-11).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*c)*(-40*c**3 - 967*c + 967*c) + c**4 + c**4 + 0*c**4 + 0*c**4 + 2*c**4 + 0*c**4.\nAnswer: 84*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*-4*15\/100?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 15. Suppose -368 = -19*x - 4*x - 0*x. Suppose i = z + x. Is i 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 11:08 PM and 2:12 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let u = 4 + 0. Let j be u\/16 - q\/4. What is the third smallest value in 0.4, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.98 - 3.88. Put -47, y, 1 in ascending order.\nAnswer: -47, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -64*b - 2351. Calculate m(-37).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -53525.\nAnswer: -24\/53525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9 or -9081?\nAnswer: -9081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 r when three letters picked without replacement from prprprppprppprrppp?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o = 3*c + 59*o + 11, 3*o + 1 = -c. Let s be (-129)\/(-86) + (14\/12)\/c. Factor -s*g - 2\/3*g**2 - 2\/3.\nAnswer: -2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -20 (c) 0.07 (d) -0.3 (e) 10 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 = 21. Let c be (-3)\/(i + (-4 - 0)). What is the closest to -0.1 in -2, 5, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 579 and 22537.\nAnswer: 13048923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184 is divided by 44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from aaatrahannatahhaaaa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 20*g = -22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 u when four letters picked without replacement from {x: 1, u: 7, s: 1, h: 4}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -210*x - 45. Let a(h) = -50*h - 11. Let o(d) = 25*a(d) - 6*k(d). Let l(c) = -c + 1. What is -15*l(i) - 3*o(i)?\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208)*-1 + sqrt(208))) + sqrt(52) + sqrt(468)*-1)\/((sqrt(512)*-1)\/(sqrt(8)\/sqrt(4)*-2)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + i - 195, -j + 120 = j - 4*i. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 415, 619, 823?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 17*l**2 + 85*l + 1. Let p = 1 + 17. Let w = -8 + p. Calculate the smallest common multiple of w and t(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -172 (b) -2\/13 (c) -2\/11 (d) 639 (e) 1\/8 (f) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 597*z**2 - 86256*z + 354640.\nAnswer: -(z - 4)*(z + 260)*(z + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.072 - 0.622. Let v = t - -0.75. Let d be ((-7)\/238)\/(1\/(-64)) + -2. What is the closest to -0.4 in d, -4\/3, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 131004*y - 2096071. What is t(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6125 - 5*t + t - 5953 + 16*t)*(1 - 3 + 1).\nAnswer: -12*t - 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/536*8\/(-2)*(-37)\/((-11100)\/60).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-2)\/(-6) - 3)*132. Suppose 93*v - x*v - 2*t = 357, 3*v = -2*t + 211. What is the remainder when v is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 + 339*s**2\/2 + 26847*s\/4 - 14641506.\nAnswer: -(s - 471)**2*(s + 264)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944 divided by 4.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130673 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Solve y*x = 4*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, 6, 1, -1.\nAnswer: -4, -1, 1, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 - -0.04. Let a = d + 0.01. Let y = -0.2 + a. Put 4, y, 2\/9 in increasing order.\nAnswer: y, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 1, h: 3, d: 3, p: 1, g: 2}. Give prob of sequence gd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1799332 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104, 220, 322, 404, 460, 484, 470, 412?\n\"Answer: -w**3 - w**2 + 126*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 37*b**2 + 40*b - 140. Is 65 a factor of w(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8, -5, -2 in descending order.\nAnswer: 6, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + 5 + -8 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31126*j**6 - 803*j**3 - 33823667*j**2 + 4.\nAnswer: -3735120*j**3 - 4818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 3 - 3)*(-2 + 0 + 3) + u + 0*u + 0*u - 15*u - 4*u + u + (1 + 0 - 3)*(-1 - 3*u + 1) to z + g*u and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:50 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/948 and -101\/8.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*f**2 - 136*f**5 + 2*f**2 + 43*f**2 wrt f?\nAnswer: -8160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (2 + -1 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = -3*w. Suppose 20 = z + d, 4*z + z = w*d + 73. Let s = z + -8. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7715*c**2 - 79 - 12 - 7715*c**2 + 6*c**3 as n*c**2 + t*c**3 + p*c + f and give f.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136381568 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 895*k - 14*k**4 - 895*k + 3*k**2 - 3*k**4 - 2*k**4 + 7*k**4 + (4*k**4 - 3*k**4 - 2*k**4)*(0 - 4 + 3).\nAnswer: -11*k**4 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 42*h**2 - 607*h + 143. Let o(w) = -85*w**2 + 1225*w - 285. Let q(p) = -5*n(p) - 3*o(p). Factor q(z).\nAnswer: 5*(z - 14)*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (2 + -24))*-1. Put -1, 2, -0.1, -0.4, k in ascending order.\nAnswer: k, -1, -0.4, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.1. Let m = -43\/3 - -38\/3. Which is the nearest to s? (a) m (b) 4 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 2 + (-11)\/(-7). Let p = -0.03 - -0.23. Let q = p + -4.2. Which is the nearest to -1\/3? (a) -0.1 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 106. Calculate the remainder when 90 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 865 (c) 5 (d) -3\/2 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -30*k**3. Let m be z(1). What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - ((8 - 1) + 4 - 12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 + 126. Find k such that -k**2 + o*k**4 + 0*k - 4*k**3 - 3*k + 2*k + 3*k = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzi when three letters picked without replacement from ztrzi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*s = s - 31, a = 3*s + 10. Suppose -2*u + 2*g = -a*u, 11 = 3*u - g. Let m(q) = 10*q + 6*q - 19*q + u*q - 2. Give m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from {t: 5, y: 9, j: 1, r: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67716, -67707, -67692, -67671?\nAnswer: -67644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 125. Calculate d(20).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 80, 159, 280, 449, 672?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brxgibgee. What is prob of picking 1 x, 1 i, 1 e, and 1 r?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 10:43 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.153 and 1.7044.\nAnswer: 1.8574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52479\/61740*8\/(-425).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13c (base 15) to base 8.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 6973465.\nAnswer: 20920395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5908 <= 6014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1 - 4*n + 3*n + 3 - 2*n**2. Let m(w) = w + 1. Let u(t) = 3*t + 27. Let a(l) = 2*m(l) - u(l). Let h be a(-22). Give x(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4\/3 + 16*l**2\/3.\nAnswer: -4*l**2*(l - 2)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52779712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42482)\/(-88) + (-14)\/8?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 6, g: 2}. What is prob of sequence bg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 15362*t**2 + 292640*t - 308000.\nAnswer: -2*(t - 7700)*(t - 1)*(t + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 15652 = 13925 - 2109. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/52 and -31\/28?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:04 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96120657 is divided by 277.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1358612 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (4\/(-4) - -3). Suppose 5*d - 8 = -a, -c - 19 = 4*d. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000891 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 - 41*b**2 + 284*b + 13. List the prime factors of n(25).\nAnswer: 113, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 8*i + 3*h + 54, -i + h = 8 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.048 - -0.122. Let z = -1.015 - -1.01. Let q = z + o. What is q rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*i + 4*k, -9*k = 5*i - 6*k - 22. Let x(m) = -3 - 45*m**2 + 89*m**2 - 45*m**2 - i*m. What is x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 3067527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131008, -261876, -392746, -523618, -654492, -785368?\nAnswer: -916246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(1\/2)*t)\/t)**(-10\/9)\/(t*t**1*t)**(-5\/14))**(17\/5) assuming t is positive.\nAnswer: t**(-85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyyyyyvryyyxyy. Give prob of picking 2 x and 1 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.95 - -20.95. Which is the second smallest value? (a) -5\/7 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/((-2)\/(-9) - (-80)\/(-36)). Suppose -t*z = -10*z + 528. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -4 in ascending order.\nAnswer: -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:34 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 58 = -14*i. Suppose 2*v + 3 = i. Solve n + 3*n + v = -3*l, 2*l = -3*n - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151\/69 - 12\/23. Let w = j + -29\/21. Factor 2\/7*v**2 + w + 4\/7*v.\nAnswer: 2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -46*n - 44. Let c(m) = -620*m**3 + m**2 + 2*m + 1. Is c(n) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 383, -1\/2, -1\/5, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336 - -1614. Suppose 0 = 16*b - 19442 - s. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1092700, -2185544, -3278388, -4371232?\nAnswer: -5464076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 904527302 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470 + 470 - 6*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - 10\/(-4). Suppose z*g + 20 = -3*g. Is -7 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 8*n**2 + 6*n - 154. Give y(0).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 32*d - 15. Let v be q(-13). Let y = -100 - v. Let p be y*(1132\/(-282) + 4). Is 1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9341?\nAnswer: 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7317 and -51141576?\nAnswer: 51134259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/3494216 and 41\/528?\nAnswer: 20965296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*(u\/(u*u**(-1\/4)))\/u*u)\/u)\/u*u)**(-15))**(6\/23))**(-2\/19) assuming u is positive.\nAnswer: u**(45\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(2 + -3*16\/36). Suppose -56 = 2*q + x. Is 12 a factor of (-20)\/(1\/(-4)*q\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 plus -0.86593353?\nAnswer: -38.86593353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 10*w**2 - 10*w - 4. Let f be k(-9). What is the second derivative of 0*b**f + b**5 + 0*b + 3*b wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/73827 and -40\/717.\nAnswer: 17644653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdhhsadsasdghshs. What is prob of sequence ghs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 2513 = 2085. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w + w)*(2*w**3 + 6 - 6)*(w + 0*w - 4 - 2*w).\nAnswer: -4*w**5 - 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 427059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16193314.\nAnswer: 2, 8096657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 53520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1030970*d**2*i**2*r - 7*d**2*r*x - 75*d*i**2*r*x + 676*d*x - i*r*x + 4*i*r - 88*i*x + r*x wrt i?\nAnswer: 2061940*d**2*r - 150*d*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 13*m - 16. Let f be d(14). Let p be f\/8*-1 + 0. Do 4 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h + 5*j - 39, 4*j - 60 = -4*h. Let r be (2\/h)\/(1\/6). Let p = 2.97 - -0.03. Which is the nearest to r? (a) -2\/21 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 598 (base 15) to base 5.\nAnswer: 20033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10341)\/8046*(0 - (-34)\/(-12)). Let l = -26\/447 + v. What is the common denominator of -65\/21 and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 - 4. Let l(o) = 7*o**3 - 7. Let p(g) = 5*h(g) - 3*l(g). Let z(s) = 4*s**3 + 2*s - 7. Let c be -15*1*(-4)\/(-10). Calculate c*p(v) - z(v).\nAnswer: 2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i + 195 - 20 = 0. Let b(s) be the third derivative of 23*s**4\/24 + 10*s**3\/3 - s**2. Let c be b(i). What is the highest common factor of 90 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -3*c**4\/4 + c**3\/3 - c**2 - 149. Give x(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)*z*z*z**(-2\/9))**(6\/13))**39 assuming z is positive.\nAnswer: z**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1003 + -3?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 8\/17, 102 in descending order.\nAnswer: 102, 8\/17, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11494483?\nAnswer: 7, 11, 13, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211487?\nAnswer: 61, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1569 = 1575. What is the common denominator of 81\/194 and 8\/((-280)\/(-15)) - p\/224?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21160 and 35.12919.\nAnswer: -21124.87081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7704 + 0.0396. Let m = 1.11 - q. Let k = -497\/99 - -54\/11. Which is the nearest to 3? (a) k (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 24 = -16*t. Let u be -2 + 438\/9 + (-2)\/3. What is the tens digit of (12\/t)\/((-4)\/u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163957.\nAnswer: 31, 37547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from ikffi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190)*1)*4 + 6*(sqrt(190)*2 - sqrt(190)))\/(sqrt(70)\/sqrt(7)*4 - (2*sqrt(70))\/sqrt(7)).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 1, k: 1, t: 1, y: 1}. What is prob of sequence kit?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m**(2\/5)\/m)\/(m\/m**(-2\/3))**(-5) assuming m is positive.\nAnswer: m**(358\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*l + 14, -2*g = -0*g - l + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (678*k - 140*k + 472*k)*(2 - 3 + 3).\nAnswer: 2020*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 - (-10)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4797518 millilitres in litres?\nAnswer: 0.0004797518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19866 is divided by 1806.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 306 times 13\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x + 10*x + 9 - 2*x. Let j(t) = -t**2. Calculate j(a(g)).\nAnswer: -g**2 + 18*g - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9252 divided by -1?\nAnswer: 9252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -32*d - 14. Let v = -312893 - -312887. Let b(j) be the first derivative of 11*j**2\/2 + 5*j - 1. Determine v*t(f) - 17*b(f).\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17463186 is divided by 231.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = -4*m - 4*i, 44 = -3*m + 4*i. Let t = -14 - m. Let o be t\/(-5) - 98\/70. Let y(v) = -v + 1. Calculate y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -824.5 + 824. Sort 3, s, 14, -2\/3 in ascending order.\nAnswer: -2\/3, s, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3205 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203\/2)\/(2821\/(-806))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4\/7, -0.09, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/77)\/((-321)\/(-428)*(-8)\/21)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -97. Suppose 0 = -g + 5, -4*n + 5*g = g. Let c(z) = -2*z - 6. Let q be c(-4). Solve x = -q*m + n*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -560*g. Let p(t) = -750*t - 858. Let z(v) = -47*v - 52. Let i(s) = -2*p(s) + 33*z(s). Calculate -56*i(c) + 5*l(c).\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.5133 tonnes in milligrams?\nAnswer: 68513300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -127, -0.2, -8, -0.8, 1\/5 in increasing order.\nAnswer: -127, -8, -1, -0.8, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/200833341 or -1?\nAnswer: -1\/200833341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68297854 and 771331.\nAnswer: 751276394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -260 + 265. Let a(v) be the second derivative of 0*v**2 + 1\/50*v**o + 4*v - 1\/15*v**3 + 0 + 1\/30*v**4 - 1\/75*v**6. Determine k so that a(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66345944619 - 12.\nAnswer: 66345944607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*m - 4*m + m + (-3 + 3 + 1)*(8*m + 10*m - 6*m) to the form h + l*m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.427 - -5.6. Round q to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**16\/(h*h**(-9)*h))**(6\/7) assuming h is positive.\nAnswer: h**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 123?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30017 (base 8) to base 3.\nAnswer: -121212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x**0\/x*x)\/x*x\/x**(5\/3)*(x*x*x**(3\/5))**(27\/5) assuming x is positive.\nAnswer: x**(1078\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -80253.65*-0.01\nAnswer: 802.5365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 284*j - 287*j - 2*j**3 + 0*j**2 + 8*j**2 to o*j**2 + n + v*j**3 + d*j and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 7:21 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**2 + 3*n + 3. Let g(w) = -7*w + 138. Let j be g(20). Give v(j).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*p + 41. Let y be (-1 + 2 + -4)\/((-1)\/4). What is the greatest common factor of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by 107?\nAnswer: 188\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 - 33*r**2 - 24*r + 60 = 0?\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 + 47*f**3 + 0*f**2 - 20*f**3 - 13*f - 28*f**3 in the form a*f + g*f**3 + k*f**2 + w and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(sqrt(245) - 3*sqrt(245)).\nAnswer: -112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-one halves of a millennium?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/3 (b) 1\/4 (c) 0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*a + 1400. Calculate the greatest common divisor of 56 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0149772 to 4 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377350.\nAnswer: 2, 5, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14677, 29553, 44431, 59317, 74217, 89137, 104083?\nAnswer: 119061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 161 - 89 - 100 = 0 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203974 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**5\/10 + 9*h**4\/8 + 9*h**3\/2 + 31*h**2\/4 + 6*h - 52. Factor g(j).\nAnswer: (j + 1)**2*(j + 3)*(j + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvvb when four letters picked without replacement from {b: 10, v: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4520 + -4520.0000002731. What is k rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -21. Let g = o + 87. Let h = g - 76. Calculate the remainder when h is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*j = -7*j - 13, -3 = 2*r + j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3055 - 3223 = -14*k. Solve 10*x + 2 = -3*v + k*x, v - 3*x = 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o**2 - 40*o**2 - 36*o**2 - 44*o**2 - 32*o**2 + 227*o**2 - 31*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-1) + ((-40)\/126)\/((-318)\/(-17437)). Which is greater: a or -12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -2\/37 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45610 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: What is the remainder when 9893 is divided by 1940?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 6*q**2 + 6*q + 6. What is the remainder when a(6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 63*x**2.\nAnswer: -3*x**2*(x + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -973*(-252)\/105084*132\/7\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {b: 4, d: 1, w: 1, x: 5}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 3*d + 2. Let l(g) = -8*g**2 + 665*g - 53798. Let y(n) = -3*h(n) - l(n). Let y(v) = 0. What is v?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, d: 1, l: 1, e: 1, s: 2}. What is prob of sequence wk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 157. What is the third biggest value in t, -2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 949\/219 + (-1)\/3. Let s(v) = -58 + 58 + 3*v - m*v. Let o(k) = 386*k**2. Give s(o(a)).\nAnswer: -386*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 divided by 35?\nAnswer: -198\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29136*z**2 - 32*z + 58409 with respect to z.\nAnswer: 58272*z - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -1*sqrt(77)*4)\/(sqrt(42)\/(sqrt(30)\/sqrt(5))) + (-2 + 5*(sqrt(99) + sqrt(99) + 3 + (1 + sqrt(99) - sqrt(99))))**2.\nAnswer: 1077*sqrt(11) + 10224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 12, 5*o = 5*p - 141 - 89. Let r = 181 - 81. Let c = r + o. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -9, -12413, 11 in increasing order.\nAnswer: -12413, -9, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.4 and 0.575?\nAnswer: 4.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnknrannnkavi. Give prob of sequence vin.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026113867 to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.52 + 33.12. Let h = n - 30. Let x be (0 - 3)*44\/(-33). Which is the third smallest value? (a) 7 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 23 in descending order.\nAnswer: 23, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484193?\nAnswer: 3, 494731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-1324)\/(-188) + (-9656)\/1598)\/(42\/(-154))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6 = 18, 4*u - 5*h - 9 = 0. Let z(o) = 0*o**2 + u*o + 3*o**2 - 6*o. Let q(j) = 3*j. Determine z(q(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*20)\/(-7 - -6). Suppose 3*l - j = -5. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 977, 1961, 2971, 4007, 5069, 6157, 7271?\n\"Answer: 13*z**2 + 945*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 4)\/((-1)\/1). Suppose -m + 3 = -a. Suppose -k + m = -4*b, -b - 4*k + 8 = 26. Which is bigger: b or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59392 by 59392.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925 is divided by 729.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 15812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13559 - 14013. Which is smaller: m or -2\/21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 1 - (-10 + 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 28 + 11*w**2.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - -0.34. Let f = -4.8 - -5.3. Let y be (-12)\/2*3\/(-63). Which is the closest to y? (a) 3 (b) q (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-21))\/(66\/1917). Let r = i - -96\/11. Is -1\/2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**4 + 2*j**3 - 5*j**2 - 4*j. Let f(b) = -b**4 + b**3 - b**2 - b. Let k(o) = -4*f(o) + 2*v(o). Factor k(l).\nAnswer: 2*l*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m. Let g(f) = -32 + 71 - 39 + 2*f. What is b(g(k))?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + 21 + 70 + 2*(-1)\/(-2) is divided by (2\/1 + 5)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23032 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-5))\/((-4)\/10). Suppose 0 = 4*s + 4*d + 20, -5*s - 20 - 40 = -2*d. Let h be s\/(-12)*3\/10. Which is the nearest to -2\/5? (a) 4 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5 = 5*y, -4*y + 8*y - 13 = 5*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + 50. List the prime factors of (-2)\/(-7) + r\/35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.7935069*5.\nAnswer: -113.9675345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**4 - 3*m**4 - 8*m**4 + (2*m**2 + 0 + 0)*(-1 - m**2 + 1) + 2*m**4 - 4*m**4 + 3*m**4 + 2*m**4 + 2 - 2.\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 7 - 7)*(399 - 180 - 195).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + 26*j**3 - 26*j**3)*(5*j - j - 5*j) - j**5 + j**5 + 2*j**5 - 3*j**4 + 2*j**5 + 3*j**4.\nAnswer: 7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.03 (c) 3 (d) -8.88855\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(5\/3)*y)\/y)\/(y\/(y\/y**1))*y*y*y**(-4\/7)*y**1*(y*(y**(-7)*y)\/y*y*(y\/y**(-8))\/y)**(-14) assuming y is positive.\nAnswer: y**(-866\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1*o)**(-35)*o**(-2\/13)\/o**(-7\/3))\/(o**(-6)\/o*o\/(o\/(o*o**(-2\/5)))*o*o*o**(-6)\/o*o*o\/o**4) assuming o is positive.\nAnswer: o**(-17437\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g**2*j**3*w + 12*g**2*j - 23353*g**2*w + 1031*g*j**3 + g*j**2 + g*j - 7*j**3 wrt w?\nAnswer: 9*g**2*j**3 - 23353*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*x + d + 3, -5*d = x + 6. Let z(b) = 6*b**3 - b**2 - 2*b - 1. Determine z(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 633 = -787. Calculate the highest common divisor of o and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3753 and -71\/716823?\nAnswer: 716823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13152088 and 5368?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 15*j**2 + 6. Let q = 571 + -573. Let t(a) = -a**3 - 3*a**2 - 1. Calculate q*v(z) - 11*t(z).\nAnswer: z**3 + 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*d**2 + 13*d**2 + d + 3*d**2 + 69*d**4 - 10 + 11*d**2 + 12*d**2 in the form z*d**2 + a*d**3 + s + b*d**4 + f*d and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3, -4\/7, -2\/13, 152\/101?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4580 = -5*s - 5*z, 5*s - 7034 = -3*z - 2460. Let r = 69 + s. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*sqrt(19) - sqrt(19)) + ((sqrt(209) - -2*sqrt(209)) + sqrt(209))\/sqrt(11).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*k = -2, 1 = 3*o - 2*k - 9. Let y = -21.5 - -21. Let q = -38 - -32. Which is the third biggest value? (a) 1\/3 (b) q (c) y (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1030153 + -1?\nAnswer: 1030152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {g: 4, m: 5, r: 3, s: 1, n: 5}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i**3 - 7*i**2 - 3*i - 10. Let g = -6 + 6. Let c = g + 4. Suppose 4 + c = 4*v. Let q(w) = -3*w**3 - 2*w**2 - w - 3. Calculate v*u(y) - 7*q(y).\nAnswer: y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 5, t: 1, a: 10}. What is prob of sequence xx?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -25*o + 11. Let m be b(-29). Suppose 4*h - m = -4*g, -2*h - 64 = -g + 126. What is the remainder when g is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40244107 to four dps.\nAnswer: -0.4024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/4 + 1\/2. Let i = 0.4 - 0.5. Let g = -0.2 - i. Which is the nearest to g? (a) 5 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*v**5 - 9*v**4 + 32*v**2 + v - 6.\nAnswer: 2340*v**2 - 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65272*z**2 + 4 - 32633*z**2 - 6 - 32696*z**2.\nAnswer: -57*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26476081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 367 + 367.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2857, -5401, -7533, -9253, -10561, -11457, -11941?\nAnswer: -12013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565268?\nAnswer: 2, 641317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 10) + 2\/1. Let c = s - -11. Suppose -c*g + 5*j = -685, -254 = -4*g + 2*g - 2*j. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Suppose -2*x + 3739876 + 6460124 = o. Round x to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4566016375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525132 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t. Let a(v) = 7*v. Give -5*a(d) + 4*f(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*r*v**2 + 164159*g*r - 2*g*v**2 + 83*g*v - 5*g + 2*r + 20*v - 36 wrt r.\nAnswer: -2*g*v**2 + 164159*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2409 in 0.07, 0.2, 0.4, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140 + 993 + 924)*(0*i**4 + 2*i**3 + i**2 + 10*i**4 + i**4) to p*i**4 + w*i**3 + q*i**2 + a*i + v and give w.\nAnswer: 3554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/5 (b) 16 (c) -2\/43 (d) -4733 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(448) + sqrt(448)*2)*-2)\/((sqrt(1008) - (sqrt(1008) - 2*sqrt(1008)))\/sqrt(7)) + -4 + 4 + -2.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3234*m - 187 + 41 - 3228*m. Give g(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -3.6. Let d(x) = 6*x. Let c be d(4). Let a = -49\/2 + c. Is k < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y**2 + 2*y - 2. Let m be b(2). Let v = m - -42. Suppose -v*j + 6*j - 12 = 0. Solve h = j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1188 - 623. Let j = 572 - g. Solve -2*v = -11 + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11991 and 7728.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 11.7. Let b = -10.9941 - v. What is b rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001662 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvyyvyyvvyyyvyyyy. Give prob of sequence vy.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28886521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2b6 (base 14) to base 15\nAnswer: -26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 + 5.554. Let l = a - -0.017. What is l rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 8*f - 7*f. Let i = f + -9. Let d(m) = -m**3 + m**2 - 5*m - 3. Let b(t) = 3*t**3 - t**2 + 11*t + 7. Let s(n) = -2*b(n) - 5*d(n). Determine s(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1881 = -6*r + 1893 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 205 - 141 = 0. Calculate the greatest common factor of a and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1886 and -0.09?\nAnswer: -169.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 + 6)*2\/5 - -4. Suppose 0 = n - g*p - 60, -7 = -p - 3. Suppose n*d = 67*d + 14. What is the least common multiple of d and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -136. What is the units digit of (-3 - -4)*-13*q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11235*c + 190767. Calculate r(-17).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -75783816 divided by -25261272\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-695751)\/294)\/((-3)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -930, -3176, -7564, -14808, -25622, -40720?\nAnswer: -60816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/95, -4, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 267668932740 + -267668935599.00002622. Let a = h + 2859. Round a to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:55 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, -3, 2, 82, -18 in ascending order.\nAnswer: -23, -18, -3, 2, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-2)*(-20)\/15. Suppose -44 = 2*f - z*f. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -50, -45, -40, -35, -30?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-7))\/d*d*d\/(d*d**12\/d)*d**(-9)*d**(-6) assuming d is positive.\nAnswer: d**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-360)*(14195\/663 + 14\/(-182))?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 63, 65?\n\"Answer: 2*y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/6 + 3*u. Let q(m) = m**2 + m - 1. Let x(s) = -s**2 - 6*s + 6. Let p(i) = -6*q(i) - x(i). Give p(d(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 0*l - 2*l**2 - 2*l. Let i(j) = -j + 2*j + 4*j. Let k(u) = 4*u. Let t(h) = 5*i(h) - 6*k(h). Determine t(m(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10170165, 20340313, 30510461?\nAnswer: 40680609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (23 + -27 - (1 + -2 - 1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1270, 4, 1 in descending order.\nAnswer: 4, 1, -1270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 6, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -18) + -718 + 700?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -222070 bigger than 0.1378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 17*m - 24. What is the units digit of f(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*t - 8, 0 = h + 2*t + t + 1. Let o be ((-52)\/65)\/(h\/(-5)). Suppose -2*j - k + 5 = 0, 0 = -o*j + 7*k - 3*k. Solve -2 = 3*v - j*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/40 - ((-880)\/64 - -14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*h + 136*h - 2659*h.\nAnswer: -2409*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21d + 2?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117\/20 + -28\/5. Let l = 34.5 + -30.5. Let z be (-3 - 80\/(-25))*-2. What is the nearest to w in -5, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/31)*k)\/(k*k**48\/k) assuming k is positive.\nAnswer: k**(-1455\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and 4.02.\nAnswer: 8.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.2. Let z = 0.02 - h. Let y = z - -0.3867. Round y to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g + 1246. Let z(v) = 19*v. Calculate z(r(j)).\nAnswer: 209*j + 23674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104129590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6 = 0, a = 2*k - 16 + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 3. Let y be q(0). Suppose -y*b - 166 = -5*b. Let h = b - -44. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 6*o**2 + 4*o + 1. Let g be t(-5). Suppose v - 2 + 32 = 4*y, -3*v - g = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3407, -4, 2 in ascending order.\nAnswer: -3407, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -22.7. Let j(l) = -l**2 - 6*l - 3. Let o be j(-6). What is the second smallest value in o, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 30 = -7*c. What is the closest to -0.2 in -0.2, c, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 7*w**3\/3 + 4*w**2 + 7*w - 1972. Suppose 0 = 3*t - 3*i - 48, 0 = -3*t - 0*i - 2*i + 28. Is d(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198 a factor of 5765974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -496*z - 4497. Determine y(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1011101 (base 2) to base 10\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -19 (c) 0.1 (d) 2\/165107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r - 5*r + 140. Let q(v) be the second derivative of 1\/20*v**r + 1\/10*v**3 + 0 + 1\/10*v**2 - 2*v + 1\/100*v**5. What is p in q(p) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - 3*sqrt(1100)) + sqrt(1100) + -5)**2.\nAnswer: 100*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 38. Let r(j) = -2*j**2 - 22. What is m(r(p))?\nAnswer: -10*p**2 - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 19*z + 3. What is the tens digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -147, 4, -178?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -655621 + 1139898. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + (6*-1*sqrt(1100))**2 + sqrt(1100) - (1 + (sqrt(1100) - (5 + (sqrt(1100) + 2*sqrt(1100) - sqrt(1100))))**2)))*5.\nAnswer: -450*sqrt(11) + 192345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10*j**3 + 24*j**2 + 72*j + 7. Let k(n) = -3*n**3 + 9*n**2 + 24*n + 2. What is 7*k(v) - 2*p(v)?\nAnswer: -v**3 + 15*v**2 + 24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 84700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/45*((-375)\/30 - -8). Let o(w) be the second derivative of 1\/6*w**3 + 36*w + 0*w**h + 0. Let d(y) = -9*y**2. Calculate o(d(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5544 (b) 48 (c) -1\/2 (d) 1 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 123541 (base 9) to base 8\nAnswer: 222060","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 189414*b**2 - 757640*b.\nAnswer: -b*(b - 189410)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -143\/5, -1\/6, -3, -20 in increasing order.\nAnswer: -143\/5, -20, -9, -3, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 42 = 5*a - 2*a, 0 = 4*a + 3*n - 81. Let h = a - 88\/5. What is g in 2\/5*g**2 - 2\/5*g**3 + 2\/5*g - h = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30794302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*-4)**2 + sqrt(7) - 3*(2 + sqrt(7))) + 4.\nAnswer: -2*sqrt(7) + 13550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42.5 - 7.83. Let l = o - -0.33. Let g = l + -34.63. Round g to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 0*c)*(-1 + 3 - 3) + (-4*c + 0*c + 2*c)*(-2 + 2 + 6).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347 - 245. What is the lowest common multiple of 204 and w?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640477 is divided by 63.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:34 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n**3 - 190786*n**2 + 2351851*n.\nAnswer: 48*n - 381572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -619, -1096, -1587, -2098, -2635?\n\"Answer: -q**3 - q**2 - 467*q - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*v + 1161 + 492 = 0. Let h(d) be the first derivative of -3*d**2\/2 + 16*d + 1. What is the units digit of h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -294 + 291. Let i(l) = 19 - 3*l - 44 + 0*l**2 - 2*l**2 + 26. Calculate i(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -2312011403?\nAnswer: -2312011330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3796*1915\nAnswer: 7269340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/24 + (-2)\/(-4) + 2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 33 = 2. Let j(r) = -11*r + 9. Let v(q) = 2*q**3 + 8*q**2 + 1. Let g be v(-4). Let i(l) = 2*l - 1. Let y(o) = g*j(o) + 5*i(o). Calculate y(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*c = 5*c - 37, 2*c - 18 = -2*h. Suppose 3*i - 5*i = -h. Let z(p) = -p**3 + 3*p**2 - p + 1. Let w be z(2). Solve -w = -3*d + i*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 - 10*x**2 + 14*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9118 = 89*s - 7961 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -79, -2, 68\/7, 1, 10.5, 4 in increasing order.\nAnswer: -79, -2, 1, 4, 9, 68\/7, 10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -821 + 824. What are the prime factors of (2 + p - 789)\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9528 + -3.9528. What is the nearest to -0.2 in z, 2\/15, -1, -37?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 2)*(0*z**2 - z**2 + 0*z**2).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2313132201 (base 4) to base 3\nAnswer: -1102011220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a = 40. What is the tens digit of (4\/(-8))\/((-2)\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 5*i + 2. Let k(d) = -10*d**2 - 16*d - 8. Let c(j) = 2*k(j) + 7*o(j). Let s(l) = -l**3 + 9*l**2 + 8*l + 14. Let m be s(10). Determine c(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 11) to base 3.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:01 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 2*s - 25 + 4*s**2 + 25 - 5*s**2. Let h = 0 + 2. What is the smallest common multiple of 4 and g(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12331 and 3901080.\nAnswer: 42911880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + sqrt(126)*-2*-6)\/(sqrt(16)\/(1*sqrt(8))*4)*-4 + 3)**2.\nAnswer: -234*sqrt(7) + 10656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 238?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11230002303 + 210?\nAnswer: 11230003113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3471, -3458, -3431, -3384, -3311, -3206, -3063, -2876?\n\"Answer: n**3 + n**2 + 3*n - 3476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**3 + 9*c + 9. Suppose 0 = 2*v - 0*v - 8. Let i(j) = -3*j**3 - 4*j - 4. Calculate v*o(y) + 9*i(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1929496 (base 10) to base 16.\nAnswer: -1d7118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85321 divided by -1457.\nAnswer: -85321\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)*b)\/(b\/(b*b**(5\/6))*b))**(3\/4) assuming b is positive.\nAnswer: b**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-31 - -39 - -52).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 31. Let s be x(-11). Let w be 4\/(-10) - (-74)\/10. Let c = w + s. Is -3\/5 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q - 7. Let k be (-1 - 1) + 7\/((-21)\/(-6)). Let h be -1 - k - (-2 + 8). Let t(a) = -2*a + 3. Give h*t(y) - 3*i(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 9 = 17*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 3*o + 4*v, -5*o + 5*v - 4*v = -303. Let b(i) = -176*i + 6376. Let k be b(36). What is the greatest common factor of o and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 522651.6 years?\nAnswer: 52265.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-66))\/(0 - 1\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a day in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -15 + -4)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -87*r**2 + 158. Let j(b) = 29*b**2 - 52. Let h(v) = 6*g(v) + 17*j(v). Differentiate h(s) wrt s.\nAnswer: -58*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2\/7 (c) 3 (d) 1.73 (e) -0.08 (f) 48 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -353\/131 - -3701\/1179. Factor -t*d**2 - 8\/3*d + 0.\nAnswer: -4*d*(d + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01885944054 to six dps.\nAnswer: 0.018859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)**(2\/5))**(-31)\/((v**(-1\/2))**(-34)\/(v*v*v*v**1*v*v)**(-31\/3)) assuming v is positive.\nAnswer: v**(-519\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 16 + -6 + -3 + 0 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*w - 9*w - 99*w in the form k*w + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4086, -16337, -36726, -65229, -101822, -146481, -199182, -259901?\n\"Answer: 4*r**3 - 4093*r**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47160 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 7*u - 1. Let s(i) = 4*i**2 + 13*i - 2. Let h(w) = -4*w - 3. Let n be h(-2). Suppose 35 + 20 = -n*q. Let t = q - 0. Give t*a(c) + 6*s(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 + p - 9. Let f be x(7). Let r be f\/42 + (-4)\/14. What is r rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 455515493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -21, -20?\n\"Answer: w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7432 + -4462. Is z a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-35)*10 - -3. Suppose -3*g = t - 743, -u*g + 9*g = t - 715. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 183 = -2*u - 47, 2*b + 3*u = -68. What is the common denominator of 5*b*(-19)\/(-1368) and -33\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -853 (base 10) to base 16\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 86830, 347184, 781100, 1388572, 2169594, 3124160, 4252264, 5553900?\n\"Answer: -g**3 + 86787*g**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/(-1456))\/(10\/16).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 378120 = 115*r. Is 24 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:31 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/17280 and -119\/283520.\nAnswer: 7655040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1633400 and 26680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32161110 + -2?\nAnswer: 32161105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 16 - 12)*(5*j**2 - 5*j**2 + 2*j**4) + j**4 + 5*j - 5*j + (-3*j - j + 2*j)*(-2*j + 2*j + j**3) - 2*j**4 + 0*j**4 - 2*j**4.\nAnswer: 111*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85829674*t**2 - 85829677*t**2 + 171659344*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6171 = -276. Let r = o - 796. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 53*r + 262. Give m(-24).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -9, -598 in descending order.\nAnswer: 17, 5, -9, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7654888 by -3827444.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.3, 39.63, -0.08, 14, 1, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 h when four letters picked without replacement from hmhhhhheeeeheeme?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = 2*g. Let f be (-2)\/(11\/6 - g). Suppose -3*t = -15 - f. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:09 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101084*c**5 + 301*c - 18 wrt c.\nAnswer: 2021680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.86359, -2\/15, 2\/11?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, 17, 58, 99, 140?\n\"Answer: 41*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181475663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395934*v + 395913*v = -777. Let y = 20 - -17. What is the greatest common divisor of y and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:01 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eev when three letters picked without replacement from {e: 5, v: 11}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b - 106 + 64 = 39*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w + 12. Let z be u(-3). Let n = z + 42. Suppose 0*j - n*j = -177. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 23*y**2 + 24*y - 39. Let i = 722 - 700. Let v be d(i). Let m(a) = -a**3 + 6*a**2 - 7*a + 3. Determine m(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 15b98?\nAnswer: -15b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m**2 + 0*m**3 + 3*m + 3\/4*m**4 + 7. What is the derivative of b(s) wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10456, -42180, -95162, -169402, -264900, -381656, -519670?\n\"Answer: -10629*r**2 + 163*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*m**2 - 6*d*m - 25*d + 9*m**2 + 693 wrt d.\nAnswer: 2*m**2 - 6*m - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let t be (-5782)\/(-245) - 23 - (-28)\/(-30). Which is the closest to -1\/2? (a) t (b) q (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**8\/20160 + 2*d**5\/15 + d**3\/6 - 63*d**2. Let v(y) be the third derivative of c(y). Let m(k) = 18*k. Determine m(v(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 27 + 233. Let f = 146 + a. What is the highest common divisor of f and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -57*x**2 - x + 17. Let b(q) = 17*q**2. Calculate l(b(i)).\nAnswer: -16473*i**4 - 17*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*b**2*r**5 + 2122*b**2*r**3 - 7*b**2*r**2 - 4542*b**2*r wrt r.\nAnswer: -960*b**2*r**2 + 12732*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 3.83\nAnswer: 1.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -10 - (1 - (8 - 19))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 18. Let m be (36\/1)\/(-4) + s + -1. List the prime factors of m\/(-1)*((-134)\/(-14) - 1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 10*a**2 + a + 22. Give i(9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, m: 6}. Give prob of sequence mamm.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 17*y**2 - 98*y + 6. Calculate u(5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*c**2 - 5*c**4 + 25*c**3 - 12*c**3 - 20*c**2 wrt c.\nAnswer: -120*c + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 19 = r, -4*q + q = -3*r - 3. Let a be 98\/(-539) + 2389\/11. Let y = a + -427\/2. Is y <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 4*o - 44, -4*o + 4 = 0. Let d be -37*(-6)\/9*3. Suppose 4*u - 362 = -d. Calculate the greatest common factor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/3 + 2634*n**2 + 2608306*n + 38927290\/3 = 0.\nAnswer: -1973, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75566587 rounded to the nearest 10000?\nAnswer: 75570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*w + 235 = 0, 134 = 5*d - 3*w - 107. Let q = d + -7. Let f = -16 - -38. What is the remainder when q is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*6\/50 + -2. Let d = 6\/13 + -87\/104. What is the second smallest value in 3, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57903, 232013, 522325, 928839, 1451555, 2090473, 2845593?\nAnswer: 3716915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y*y**(-1\/2))\/y)))**(-37)\/(y\/y**4*y\/(y**(-7)*y)) assuming y is positive.\nAnswer: y**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -631422220 divided by 1372657?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/42*(0\/4 - -6). Which is the second smallest value? (a) -2\/71 (b) -2 (c) 5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**2 - 3087624*b - 6175232 = 0.\nAnswer: -771904, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 3*a = 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 137 - 145. Let s be a\/(1 + (-138)\/144). 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: b\"What is the jth term of 2275, 2766, 4097, 6688, 10959, 17330, 26221?\n\"Answer: 70*j**3 + j + 2204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 803644166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/7, -0.0669, 150.8?\nAnswer: -0.0669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5 - 5*i - 2*i**3 + 27*i**2 - 16*i - 7*i - 57*i**2. Let c be h(-14). Solve 0 = -c*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:46 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9757 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -8?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258*-22729.\nAnswer: 5864082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -49, -5, 39, 5, -4 in ascending order.\nAnswer: -49, -19, -5, -4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-2 + (-21)\/(-9)). Let w be (5 - 5)\/(n\/1 + 0). Suppose 3*r + 14 = 5*g, r - 3*r + 4*g - 12 = 0. Which is the closest to -1? (a) w (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1738512 divided by 4?\nAnswer: -434628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3 + 8. Suppose -2*x + 23 = 2*m + 9, -x = -5*m + c. Solve 14 = -2*h + 4*i, 5*i - 8 = x*h + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v**3 + v**2 + (-6*v - 3*v + 5*v)*(3*v**2 + v**2 - 5*v**2))*(-6*v**2 + v**2 + 2*v**2).\nAnswer: -21*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 + (-7 + 10 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/681868 and -75\/2107592.\nAnswer: 23183512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27490 and -0.2?\nAnswer: 5498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*n - 88*n = -182*n + 1221. What is the highest common divisor of 2294 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/77565 (b) 0.04 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249375 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -155\/516 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -160*u**5 - 2400*u**4 - 2290*u**3 - 705*u**2 - 70*u = 0.\nAnswer: -14, -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -26?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -185\/1287 + -1\/99. Let d = 1047.8 + -1048. Let k = -0.9 - -0.5. Which is the third smallest value? (a) d (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.068 * -51.\nAnswer: 3.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21336 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 661, 634, 593, 532, 445, 326?\n\"Answer: -p**3 - p**2 - 17*p + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56799841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 12. Let h = -34 + t. Solve -h*l + 5*l = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3278\/21 != -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 3*r**5\/25 + 171*r**4\/20 + 1083*r**3\/5 + 20577*r**2\/10 - 82. Factor d(g).\nAnswer: 3*g*(g + 19)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -430.8 and -116.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10788 divided by -62?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6533891459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32844897 divided by 14139\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.37 in 4, -9, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 14 + (-2 + (-29 - -9) - 26)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3 + 4*f - 4 + 1. Let l(s) = -4*s**2. What is u(l(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*l + 190, -95 = -q - 2*l - l. Let r be 2\/(-7) + q\/(-35). Let a be r\/(-2)*(-12)\/(-9). Solve -a*y - 3*y - 5*f + 5 = 0, -4*f = -3*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6951808 litres?\nAnswer: 695.1808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1558*l - 6231. Let s be w(4). Let o(d) = 209*d - 209. Determine o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 + 164.86. Round o to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2\/7 + 48*i\/7 + 108\/7 = 0 for i.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/7479 and -11\/84?\nAnswer: 209412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2, -4, 0, -26, 1\/82?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-26)*t\/((t\/t**(3\/14))\/t)*(t*t\/(((t*t*((t*(t\/(t*t\/t**(-22)))\/t*t)\/t)\/t)\/t)\/t)*t)\/t**10 assuming t is positive.\nAnswer: t**(-109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-2)*3\/3. Let h = n + 1. Let u(q) = 4*q**3 + h*q - 7*q. Give u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 28. List the prime factors of m(-17).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 160270267?\nAnswer: -160270273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i = -42*i + 75691. Is (i\/55)\/(48\/(-15) + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/16 + 5*s**4\/6 + 55*s**3\/24 - 25*s**2\/2 + s - 97. Solve b(w) = 0 for w.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6737746?\nAnswer: 2, 17, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 12*t + 9. Determine m(-8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 61*q**2 + 1169. Let x(a) = a. Determine o(x(i)).\nAnswer: 61*i**2 + 1169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**5\/3 - 2641292*v**4\/3 - 2641288*v**3\/3 = 0.\nAnswer: -660322, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/12)\/((-2)\/18*2). Let f be -2 - ((-16)\/6)\/2. Let w = -7\/15 - f. Which is the second biggest value? (a) w (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*c**2 + 1 + c**3 - 28*c**2 - 25*c**2 + 7 + 2*c as v*c + j + s*c**3 + k*c**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 352, 1299, 3144, 6187?\n\"Answer: 50*r**3 - r**2 + 2*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9546240898 and 31024.\nAnswer: -9546209874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6603*f + 1413042. What is g(-214)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -287, -13.571, 1\/6.\nAnswer: -287, -13.571, -1\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 13\/2*a**2 + 1\/10*a**5 + 0 - 10*a - 1\/4*a**4 + a**3. Is q(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**4 + r**3 - r. Let j(n) = 2*n**4 - 5*n**3 + 5*n + 23. Let q(w) = -5*h(w) - j(w). Find 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: Simplify (d**(-1)*d*d*d**6*d**(-2)*d**(-5)*d)\/((d**(-1\/3)\/d)**28*(d**(2\/9))**(-3\/13)) assuming d is positive.\nAnswer: d**(499\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-40))\/((165\/(-50))\/11).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 155 + 187 = 4*i, 0 = -4*n + 5*i - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4602988 centuries?\nAnswer: 552.35856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(8\/(-80)). What is the smallest common multiple of (x + 1)*(-4)\/1 and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -299, -303, -353, -473, -687?\n\"Answer: -4*q**3 + q**2 + 21*q - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17499*t**2 - 5*t - 6. Suppose 5*k + 11 = -2*b - 0*k, 3*b = -5*k - 4. Let x = -1 + b. Let g be h(x). Round g to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13941192*n**5 - 120038081*n**2?\nAnswer: -836471520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 = f - 4*n, -5*n + 10 = 0. Suppose -2*h + 6 = 2*y - 6*h, 0 = 3*y - f*h - 13. Suppose 4*j - 2*t = j + 13, y*t + 19 = 3*j. Solve j + 2 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1420*6.1499.\nAnswer: 8732.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26)\/(3 + (-190)\/62) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/5*(-60)\/(-24). Let z(m) = -10*m**3 - 4*m**2 + m + 1. List the prime factors of z(v).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111120 + -1202011?\nAnswer: -110020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(3*b - 2*b + b) + (-10*b - 1 - 33*b - 29*b)*(2 + 1 + 0) as y*b + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 187068044 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 = -12. Calculate the common denominator of 107\/10 and (-565)\/50*(-2)\/r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1253428\nAnswer: -3\/1253428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 375 - 1?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 - 12*r**2 - 20*r**2 - 11*r**2 - 15*r**2.\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -6 - (-9 + (-13)\/(-2)). Which is the fourth smallest value? (a) 3 (b) 0.02 (c) u (d) -0.08 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13.8, -2, -2222\/5?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 630 - 6184?\nAnswer: -5454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -863343*j**4 + 57355 wrt j.\nAnswer: -3453372*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7*(-651)\/31\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let h(f) = -f - 312. Give h(c(a)).\nAnswer: -a - 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-315))\/(38\/(-57)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 265, 1322, 4191, 9778, 18989, 32730, 51907, 77426?\n\"Answer: 151*b**3 + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 5*h**2\/2 - h + 2. Let o(q) = 11*q**2 - 3*q + 2. Let l be o(1). Calculate the remainder when t(l) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2776\/109, 0.15 in ascending order.\nAnswer: -0.3, 0.15, 2776\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**2 - 18*g + 45. Let y be x(2). Which is the nearest to -1? (a) y (b) 0.4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8724595 months in decades?\nAnswer: 0.0239371625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 0*r**3 - 138*r - 4*r.\nAnswer: -r**3 - 142*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1093457, 1093371, 1093227, 1093025, 1092765, 1092447?\nAnswer: 1092071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21196774877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(320)*1*6*-3.\nAnswer: -576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -46\/247?\nAnswer: -46\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.7. What is the second smallest value in x, 1\/2, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18415 and 26543.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*l**3\/3 + 15112031*l**2\/3 - 731966188208*l - 28152553152.\nAnswer: -(l - 290616)**2*(26*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 - -126. Suppose 35*w = k*w + 189. Let b = 242 - w. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c5692 (base 13) to base 7.\nAnswer: -15325003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -47. Suppose 3*b = -2*k + 57, -b + 6*b + 3*k - 94 = 0. What is the greatest common factor of j and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and (1 - 199)\/((-1)\/16*(244 + -238)).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (108 - 109)*(2\/1)\/4. Let j(p) = -p**2 + 1. Let o be j(1). Suppose -q = -o*q + 4. Sort 2, v, q.\nAnswer: q, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h**2 + 199*h**2 - 43*h**2 - 99*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {w: 2, k: 17}?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/9 - 10*j**4\/9 + 58*j**3\/9 + 74*j**2\/9 - 56*j\/9 - 64\/9 = 0.\nAnswer: -8, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 14*d = -406, -2*w - 26*d - 27*d = 21*d - 69*d - 145 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34148 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51328955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 + 215. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -49. Let c be 10\/(-55) + l\/11. Let j be (-4 - (-1 - 3))\/(-1). Sort 5, -3, c, j in decreasing order.\nAnswer: 5, c, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424, -858, -1296, -1738, -2184, -2634?\nAnswer: -3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 5*v**2 + v. Let h be (-2)\/4*2 + 6. Let w be u(h). Solve -y + 2*y - 5*c = -1, 3*y - 7 = w*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymu when three letters picked without replacement from mslulmyyummqqsmyml?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -104*y + 99. Calculate r(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3559397 * 13.\nAnswer: 46272161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.08 + 0.08. Let v = -13.1 + 13. Put 2, x, v in descending order.\nAnswer: 2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in 16\/7, 3\/7, 1\/2, 3763, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -29. Suppose 9*x + v = 53. Calculate the highest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1. Let l(k) = -2*k**3 + 12. Give g(u) - l(u).\nAnswer: 2*u**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 509539 divided by -509539\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13032885*y**2 + 13032839*y**2 - 4*y + 4*y.\nAnswer: -46*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6 and (-105)\/(-140)*5\/(-3)*7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*w + 84*w - 15. Suppose 96 = 2*a - 3*b + b, 0 = -w*b + 9. What is the smallest common multiple of 18 and a?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 39*s**2 - 8*s + 19. Is k(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 178*r - 1887. Give h(21).\nAnswer: 1851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -36*l**2. Let b(z) = -3*z. Determine b(y(q)).\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 11 - (-3 - (2 - 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175*l**3*z - 4*l**3 + 59*l**2*z + 96*l*z wrt l.\nAnswer: 1050*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 55 = 5*c. What is the least common multiple of 8 and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3167537*u**2 + 6301118*u?\nAnswer: 6335074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*q**2*s**2 - 16614*q**2 + 180*q - 300246*s**3 wrt s.\nAnswer: 10*q**2*s - 900738*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w. Let m be u(2). Let n(l) be the third derivative of l**4\/12 - 4*l**3\/3 + 2*l**2. Let o be n(m). Solve o*q = y + 1, -5*q + 2*y - 3 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414232392 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.5. Let y = 100.652 + 0.348. Let d = -104 + y. What is the smallest value in -5, d, r, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010289 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**1)**31*(u**(-1))**(26\/3) assuming u is positive.\nAnswer: u**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6409\/145 + -43)\/(-3 + (3444\/(-380))\/(-3))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/15 + (-3 - 42\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -89, 6, -1 in descending order.\nAnswer: 6, -1, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*v + 357 + 160 = -173 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19327, -38648, -57967, -77284, -96599?\n\"Answer: n**2 - 19324*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o - i + 105, 2*i - 105 = -3*o. What is the highest common factor of 14 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -863344, -863339, -863308, -863239, -863120, -862939, -862684, -862343?\n\"Answer: 2*f**3 + f**2 - 12*f - 863335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(4 - 26\/6*1). Find the third derivative of 9*h**2 + 3*h**3 + h**m + 6*h**2 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5439*l. Let m(i) = -80*i. Calculate -6*a(y) - 407*m(y).\nAnswer: -74*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1169857148 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27038 and 6996?\nAnswer: 8598084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57\/260 + 3851\/16380. Which is the nearest to 2\/3? (a) 1\/9 (b) -2\/5 (c) -2.4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -26. Is r + 0 - (-2)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355.379 kilograms in grams?\nAnswer: 1355379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p - 121 + 16 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 482*l**2*v**2 + 11*l**2 + 57822*v**2 - v with respect to l.\nAnswer: 964*l*v**2 + 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11494435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1099758 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 364*y + 2084. What is t(-5)?\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 550050.\nAnswer: 7150650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*i - 15341 + 5021 = 9810 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - 2) + (2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 17 - -33 - 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**3 - 16*a**2 - 29*a - 9. Determine h(-3).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 45*u**2 + 2 + 35*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.92 + -60. Round z to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1.3, -2, 5 in increasing order.\nAnswer: -2, 1.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323 - 1111?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98479098.\nAnswer: 2, 3, 1823687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2. Let k(v) = -2*v + 3*v - 2*v + 8*v. Give k(y(s)).\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2*b**3 + 6*b - 1. What is the first derivative of j(d) wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-90)\/480).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29428322 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 24782\/67?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 + 0 = 0. Suppose h*u = 6*u. Solve -m + 3 = -u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 7, 4, 96131, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -1\/540*d**6 + 0*d - 1\/45*d**5 - 1\/9*d**4 + 1\/3*d**3 + 0*d**2 - 3. Let s(q) be the third derivative of k(q). Factor s(v).\nAnswer: -2*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -7\/5, -0.1, 0.007773?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(16\/864*9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005818040966 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 73 from -0.773278336.\nAnswer: -73.773278336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from vvvzvzvzvvzvvzvzvcz?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/(-60 + 58) - 1\/45.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/5250 and -49\/3750.\nAnswer: 26250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = t - 231. Let n = 476 + t. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-5)\/20*-1. Let v(b) be the first derivative of 1\/8*b**6 - 3\/8*b**4 + 3\/8*b**2 - d*b + 1\/6*b**3 + 1 - 1\/20*b**5. Find n such that v(n) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 396 - 406, -s = 8*a + 77 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 2*m**2 - 3*m - 6. Suppose 0 = 19*s - 60 + 117. Give k(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23972 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 10*b**2 + 9*b + 8. Let m = 328 + -466. Let z = m - -147. Determine i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209\/14 + 15. What is the common denominator of q and -17\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -513, -502, -485, -462, -433, -398?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5103067 not equal to 5103067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 2*d + 1 + d**3 + d - 3*d**4 in the form f*d + v + x*d**2 + y*d**3 + s*d**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*m + 617 + 518, m - 1884 = -5*z. What is the remainder when z is divided by 184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcicqiuvqcuv. What is prob of sequence qq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*h*v**2 + 983*h + 217*v**3 - 3 with respect to v.\nAnswer: -74*h*v + 651*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 6:49 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 384 - 381 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 16. Suppose 3*r = -5*g + 20, f*g = 2*g - 2*r - 24. Suppose 5*v + 2 + 6 = 3*d, 5*v + g = 2*d. Let s(a) = 5*a**3 + a - 1. Determine s(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -2515410?\nAnswer: 2515351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85.9 - 86.2. Let v = 7 + -6.9. Which is the closest to v? (a) w (b) -3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 251.12241 nanoseconds?\nAnswer: 0.000000000000415215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 12*h**2 - 854*h + 13833. What is z(23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*f**2 - 1)*(4*f**2 - f**2 - 2*f - 2*f**2) + f**4 + f**4 - 7*f**4 in the form o*f**3 + h*f**2 + x*f + p + m*f**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -6*h - 4*h**2 + 8\/3*h**3 - 1 - 1\/5*h**5 + 1\/6*h**4. Factor m(l).\nAnswer: -2*(l - 2)*(l + 2)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1)**2*-2 + (sqrt(77)*1*1 - sqrt(77))\/sqrt(11) + 4.\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1598 rounded to two decimal places?\nAnswer: 3.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 20*u**2 - 40 + 39 - 23*u**2. Let h = 3 + 5. Suppose h = 3*b + b. Give j(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -96*m - 6. Let a(v) = 97*v + 5. Let l(b) = -5*a(b) - 4*x(b). What are the prime factors of l(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 57951660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10739980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 22471*k - 2. Is r(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 6, 2*n = 5*s - 48497 + 2026. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7885.92t in milligrams?\nAnswer: 7885920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 434, 424, 394, 338, 250, 124, -46?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 14. Calculate the lowest common multiple of 84 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1794.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004361 rounded to five decimal places?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and 6.2.\nAnswer: -204.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/5*(-5)\/(-2). Suppose 5*k - 10 + 35 = 5*h, 0 = 2*k - 6. Let y(d) = -2*d - 6. Let o be y(-5). Solve o*l - h = 3*x + 5*l, -3*x + p*l - 28 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.227, 4, -2\/3 in descending order.\nAnswer: 4, 0.227, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8)\/(((-6)\/(-56))\/((-4380)\/(-2044)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 8:17 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + 39*i + i**2 - 15*i - 15*i - 10*i in the form o*i**4 + n*i**3 + z*i + p*i**2 + q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let w = 2.88 - 3. Let q = -3.12 - w. Which is the nearest to q? (a) v (b) 1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 5 - -5) + -4 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/2 (b) 1\/12 (c) 3 (d) -1 (e) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k - 0. Suppose -o - 2*b = 6, -7*b = o - k*b + 18. Suppose 0 = 3*f + p - 9, o*p + 0*p + 2 = -f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/20 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(149 - 368*f - 149) + (0*f + 0*f - f)*(-3 + 1 + 1) + 2*f - 4*f + 0*f.\nAnswer: 735*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -67*m + 1704. Let q be p(32). Are -439 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89219001153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 38 + 3 = 0. Suppose u + l = 3*h + 2*h, -h = 3*u - 43. Is u greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 350274.\nAnswer: -350279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -46. What is the highest common divisor of p and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/(-2)*(-8)\/10. Let r be -3*((-8)\/(-6) - 2). Suppose 2*g = -r*g + 160. Calculate the greatest common divisor of b and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17783 is divided by 480.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let w(b) be the first derivative of 17*b**3 + 37. Give w(v(i)).\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - (-8 + -3)) + 13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3334 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u**4 + 13\/3*u**3 + 0*u**5 + 13\/105*u**7 + 21*u**2 + 0*u + 0 + 0*u**6. Differentiate d(w) with respect to w.\nAnswer: 104*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.2 (c) 0.5 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 + 2*b - 2. Let u be z(6). Let l be ((-8)\/(-5))\/(4\/u). Solve l*w - 4 = v, -2*v + 3*w - 4*w + 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 9 - 9*j**2 - 35.\nAnswer: -9*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 300\/121, -40 in decreasing order.\nAnswer: 300\/121, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w - 76. Let x(b) = -2*b - 90. Let a(m) = 6*t(m) - 5*x(m). Calculate a(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1505870793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, -5, 36107 in ascending order.\nAnswer: -189, -5, 36107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -219, 2\/265, 2\/261, 0?\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.734678ml in litres?\nAnswer: 0.000734678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -56. Suppose -4*h + 44 + 28 = 0. Let q = 19 - h. Solve -q - u = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1990.7 + -1991. Which is the third biggest value? (a) -7 (b) 3\/4 (c) -0.5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x - 14*x + 9*x - 7*x - 19*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjpc when four letters picked without replacement from pfxffqxfccffppfpxxj?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115\/238 - -4\/7. Let x = -10\/17 + j. Which is greater: -1\/6 or x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 83. Let h = y - -85.95. Let i = -0.01 - -5.01. Which is the third biggest value? (a) 1\/4 (b) i (c) h (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 29. Give v(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413130 (base 5) in base 11?\nAnswer: 41433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -155, -154, -153, -152?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -2.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.221 - 0.021. Let h = -32 + 22. Let z = -5 - h. Which is the smallest value? (a) z (b) d (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 9*p - 8. Let w be r(-10). Suppose -w*c - 4*c = -187422. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -24.8. Let k = 3 - y. Put 2, k, 0.4 in ascending order.\nAnswer: k, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3573428 divided by -6098.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2 = -10. Suppose 2*i + 2 = x - 2, 2*x = -2*i + t. Suppose -4*y + 28 = 4*o, y - 1 = x*o - 6. What is o rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -622804 by 377.\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3851 to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2252 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 15. Let i = u + 15. Suppose 3*n + n = 2*v + i, 5*v - 51 = -4*n. Solve 2*j = -1 + n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(52)*-6 + -3*sqrt(52)*-1)\/(sqrt(48)\/sqrt(48)*-4).\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5838976?\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 178*z - 110*z - 95*z. Let m(p) = -p. Determine m(q(n)).\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 269052869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3 - 197253*b**2 - 789015*b\/4 - 98627\/2 = 0.\nAnswer: -1\/2, 197254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5 = y. Let z be (4\/2 - 2) + (-117)\/(-351). Let m(p) = -p**2 - 5*p + 4. Let k be m(-5). Which is the closest to y? (a) 0 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 27. Suppose -3*t + i*a + 5 = -38, -2*t = -4*a - 22. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348*u**3 + 57*u**2 wrt u.\nAnswer: 2088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z + 9*z + 135*z**2 + 14*z**2 to d*z + a*z**2 + r and give a.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 3794*b - 83365. Give q(22).\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -166) + -29 + 21. Solve -36*a + 10*a - i = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -3*p**5\/20 + 19*p**4\/12 + 5*p**3\/3 - 11*p**2\/2 - 197*p. Find the second derivative of d(v) wrt v.\nAnswer: -18*v + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121000 (base 3) to base 4\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5899856395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 2. Let m(h) = 6. Let z(b) = -1. Let t(y) = -m(y) - 5*z(y). Let r(j) = -2*t(j) - u(j). Let q(g) = -3*g. What is r(q(o))?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -4*u + 89. Do u and 49 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 10*x**2 - 15*x + 9. What is the remainder when b(-11) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i + 26. Let w be x(-2). Let p be 8 + -8 - w*-4. Solve p = -5*r + d + d, -r + 5*d - 14 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m = 94. Let y = -235 - -152. Let i = m - y. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 841 - 837. Let v(j) = j**3 - 5*j**2 + 3*j + 8. Let d be v(4). Solve 4*y + d = g, b*g - 16 = 2*y - 3*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Let w be i(-1). Suppose w*s = -4*s - 4. List the prime factors of s - -13 - -1*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -2*-3*sqrt(84))\/(1*sqrt(48)).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -r + 153, r + 5*h + 6 - 175 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8086631 is divided by 376?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4\/3 - 23*o**3\/6 - 2*o**2\/3 + 29*o\/6 + 3 = 0.\nAnswer: -2, -1, 9\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1858*o - 3286*o + 684*o + 2410*o in the form c + s*o and give s.\nAnswer: 1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7*b)\/(b*b\/(b*b*b*b*b\/b**(-1\/3)*b*b))*(b\/b**(-1\/2)*b)**(29\/3)*((b**(-1\/4))**(1\/15))**19 assuming b is positive.\nAnswer: b**(2231\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 0, -4, -105 in decreasing order.\nAnswer: 5, 1, 0, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 9. Let i be y(3). Solve i*d = -0*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 - 325. Let f be (-110)\/88 + 586\/p. Calculate the greatest common divisor of 120 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 491111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 44*q + 1435. Let y(b) = -5*b - 159. Let r(h) = 2*l(h) + 19*y(h). Give r(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 10. Let g(c) = c - 2. Let m be g(5). Suppose -3*z = 83 - 95. Suppose -z*s = -m*f - 3, -s - 23 = -f + 5*f. Calculate u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 1, f: 2, m: 1, z: 2, x: 1}. What is prob of picking 2 p and 1 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-2 - 2 + 1)*(-4*p + 0*p + 2*p)*(-4*p + 3*p + 3*p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**7\/210 - w**6\/90 - w**5\/30 + w**4\/6 + 19*w**3\/6 + 7*w**2. Let x(f) be the first derivative of o(f). Factor x(a).\nAnswer: 4*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270738 is divided by 49.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.43 - 4.43. Which is the biggest value? (a) -3\/2 (b) n (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) + (1*(sqrt(567) + 0) - sqrt(567)) + sqrt(567) + sqrt(567)) - (4*(1 + sqrt(567)) - sqrt(567)))**2 - (5*sqrt(567)*1 + 1)**2.\nAnswer: 15 + 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -73, -86, -117, -172, -257, -378?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3772, -3769, -3764, -3757?\n\"Answer: r**2 - 3773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 485\/18 - 229\/9. Factor -1\/2*m**2 + b - m.\nAnswer: -(m - 1)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 8*c = -a + 106, 0 = 4*c + 12. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11408139, -22816279, -34224421, -45632565, -57040711, -68448859, -79857009?\nAnswer: -91265161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 1.2. Let y = -398\/3 - -134. Sort 0.1, x, y in decreasing order.\nAnswer: y, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 6*v**2 + 4*v - 13. What is the remainder when 27 is divided by q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 1, l: 4, b: 3, m: 2}. Give prob of picking 1 l and 1 x.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 - 200933383.\nAnswer: -200933531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -428 + 431 + (-8 - (-2 + 2 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:49 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2. Let p(b) = -3*b**2 - 6*b - 6. Let v(z) = -5*z**2 - 11*z - 11. Let h(m) = -11*p(m) + 6*v(m). Determine l(h(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -8 (b) 3 (c) -127\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 753400255 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 7:10 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6050 and 76600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(sqrt(180) - ((-1 + sqrt(180))*3 + sqrt(180)) - (4 + -2*sqrt(180)))**2*-6.\nAnswer: -13032 - 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l**2 + 30*l**2 + 5*l**5 - 55*l**2 + (-4 + 0 + 1)*(-2*l - l**5 + 2*l).\nAnswer: 8*l**5 - 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n**4 - 63*n**3 + 63*n**3 + (-21 - 316*n**4 + 4 + 309*n**4)*(-1 + 5 - 1) to the form m*n**2 + w*n**3 + u + h*n**4 + q*n and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1729*i**2 + 4*i**4 + 128000*i + 640000 + 320*i**3 + 1790*i**2 + 6081*i**2 = 0. What is i?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0*x**4 + 0*x**3 + 0*x**7 + 0*x + 0 + 19\/30*x**5 + 0*x**6 + 23\/336*x**8 + 46*x**2. Find the third derivative of w(u) wrt u.\nAnswer: 1380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 358115171 + 1.2031.\nAnswer: 358115172.2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 3*a + 32. Calculate the remainder when 89 is divided by w(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11740030 + 11740030 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, -15.48, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27334.97459 - -27335. What is d rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1395 and 1773820.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27098, 54195, 81292, 108389, 135486, 162583?\n\"Answer: 27097*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2. Let b(r) = r + 4. Let m be b(-2). Let g(a) = -3*a**m - 4*a**2 + 2*a**2 - 3*a**2. Calculate g(h(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:05 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 6, j: 4, x: 7}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108569 - 23*u**3 + 217137 - 108568 + 34*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301210233 - 3?\nAnswer: -301210241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, 0, -1, -2.\nAnswer: -143, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181*j**2 + 9 + 23*j**3 + 388*j - 8 - 24*j**3 wrt j?\nAnswer: -6*j + 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239 and 30.7562.\nAnswer: 7350.7318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.3. Let j be (1\/(4\/2))\/((-162)\/72). Let m = -30 - -30. Which is the nearest to j? (a) m (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1) - (-6 - 1\/(-1)). Let x be (-2 - -22)*6\/4. Let z = t + x. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33237 - 2522?\nAnswer: 30615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 34. Let n = b + -103. Let m be 2*(-5)\/(n\/9). Calculate the highest common factor of m and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 2\/15, -2\/45, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 - 99. Let u = -27 + -32. Let a = u + o. What is the third smallest value in a, 0.2, -2\/33?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4.961044 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 1098*x - 1095.\nAnswer: -3*(x + 1)*(x + 365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = 83*s + 243 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p, -m - m + 5*p = -13. Suppose 2*x = m, 0 = -n - 0*x + 2*x + 13. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -53. Let s = 61 + u. Suppose -4*g - 3*h + 0*h = -63, g - h = s. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by 4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, x: 19}. What is prob of sequence lxxx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2335 divide 514288420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 586710 and 88560?\nAnswer: 4693680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4846835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 - 6 = 0. Are w and -2\/35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.041 - 0.099. Let n = 0.139972 + x. What is n rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20537 * 0.189.\nAnswer: 3881.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:36 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, b: 1, a: 3, z: 2}. Give prob of sequence abz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43613.03 milligrams?\nAnswer: 43613030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 3*v + 6. Let a be f(3). List the prime factors of -4*a\/(-4) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 5*q = -13, -2*f + 3*q + 27 = 0. Let u(i) = f*i**2 - i**2 - 25*i**2. Let m(g) = -g**2. Give u(m(h)).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**4)**(8\/19) assuming f is positive.\nAnswer: f**(-16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f + 73*f**2 - 52*f**2 + f**3 + f - 5*f to the form q + a*f**3 + v*f + y*f**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-6)\/2)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (16 - (7 + (1 - 19))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 90\/4 - (-3)\/(-6). Let m = -12 + p. Suppose -2*i = -2*r, i - r - 8 = -4*r. Solve -2 = 6*x - 5*x - 3*j, m = -5*x - i*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 28*n - 370. What is j(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1750*q**4 - 3*q**2 + 97.\nAnswer: -42000*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 79 = -5. Suppose 3*r - 3*s = -6, -5*r - 4 = 4*s - 12. Suppose 4*k - 22 = -3*i, 2*k = -3*i - r*k + q. Which is bigger: -0.12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 124*h**5\/7 + 12024*h**4\/7 + 4940*h**3 - 232*h**2 - 46608*h\/7 + 1504\/7 = 0. Calculate h.\nAnswer: -94, -2, 1\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-18) - (-14)\/(-4). What is the common denominator of (-2935)\/(-350) - ((-2)\/(-7) + 0) and (a\/(-6))\/(30\/39)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 2613d7a?\nAnswer: -2613d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bmbe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 145, -3 in decreasing order.\nAnswer: 145, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -141 times -0.7\nAnswer: 98.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 319*n - 32874. Determine m(103).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 940*n**2 + 29944*n.\nAnswer: 4*n*(n + 38)*(n + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + 9. Let w(f) = -p - f**2 + 103. Let x(v) be the third derivative of 11*v**5\/60 - 2*v**2. Determine x(w(o)).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45452745 to the nearest integer?\nAnswer: 6742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(3\/4). Let b(f) = -5*f + 11. Let r be b(-1). Let t(c) = -3 + 5*c + r - 13*c - 12. Calculate t(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s = 32*s - 777 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 - 8*v**2 + 32 - 33 in the form s + k*v**2 + f*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 1. Let b be x(3). Let f = 5 - b. Suppose 0 = -y - p + 4, -y - y - p + 10 = f. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23\/58 - 3\/29. Suppose 2*w - 55 = 7*w. Let o be ((-3)\/(-2))\/((-33)\/w). Which is the closest to o? (a) 1 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f = -22*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -365 - 4?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1850448 and 1216.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - 22192145?\nAnswer: -22192076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -499166 - 1e?\nAnswer: -499185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*q - 3*q. Let h be 2900\/1 + 0\/q. Round h to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27298\/361 smaller than -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*s)*(4*s - 2*s**3 - 4*s) - 5*s**4 - 4*s**4 + 4*s**4 + 0*s**4 - s**4 + 0*s**4 - 11*s**4 - 1314*s**2 + 1314*s**2.\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, d: 6, x: 4}. What is prob of sequence dxnd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/224*(-595)\/34.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**4 + 215*p**3 + 595*p**2 - 6375*p - 6750 = 0. What is p?\nAnswer: -6, -1, 5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001100100010 - -1110111?\nAnswer: 10011001110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, v: 4}. What is prob of sequence gggv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15069415399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllll. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 160716\/185 and 870 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32296\/7 - -4614. Put -3\/2, -0.4, i, 50, 4\/3 in ascending order.\nAnswer: -3\/2, -0.4, i, 4\/3, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 1511*y - 1516*y - q, 4*q - 3*q - 247 = -28*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.015 - 0.085. Which is the closest to q? (a) -1\/2 (b) -3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42165 and 51535.\nAnswer: 463815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 25, 1\/14, 96?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4424 - 1030794\/233. Let f = 695\/466 - d. Sort -0.2, -0.1, f in descending order.\nAnswer: f, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 881401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((3 - 12) + (4 - 6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8*b = 2. Let z(w) be the first derivative of 5*w**4\/2 + w**3\/3 - w - 1. What is the units digit of z(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680273.4mg to nanograms.\nAnswer: 680273400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*w - 22, -r + w = -3*w - 14. Suppose s - u + r*u - 8 = 0, -3*u + 23 = -2*s. Let q(c) = 9*c - 1. What is the common denominator of s and q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + s + 17 = -f, -3*s - 12 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n*x**3 - 281861*n*x**2 + 11*n - 13*x**3 - 83019*x**2 + 1 wrt n.\nAnswer: 2*x**3 - 281861*x**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 9*n - 35. Let j be c(-15). Calculate the smallest common multiple of 12 and 1*11\/(j\/105).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005174 to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 10. Let i(g) = g + 4. Let f be i(0). Let r be y(f). Solve -2 = r*z - 0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 50 + 20 = -3*j, -5*j = -3*u - 50 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -3*p**2 + 20*p + 3. Differentiate w(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 1. Let d(k) = -5*k**2 + 2*k + 9. Let x(u) = -d(u) + 4*r(u). What is x(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c - 1. Let l be f(1). Let r be (-3)\/l*916 + 2. What is r rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 99 + (-5 - (-3)\/(-1))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4 - c + 6*c - 1. Let i be -1*7 + (-42)\/21. Let w(x) = x - 1. Calculate i*w(a) + 2*n(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*-7*(4 - 0). Let x(y) = -y**2 + 18*y - 20. Let a(r) = r**2 - 17*r + 21. Let l(w) = 2*a(w) + 3*x(w). Is l(i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + n)*(20*n**2 - 19*n**2 + 26*n**2)*(n + 2*n - n)*(-1 + 4 - 1)*(2*n + 2*n - n).\nAnswer: 324*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/10 + 1929*a**3\/2 - 101052*a**2\/5 = 0.\nAnswer: 0, 21, 9624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 5. Let p(h) = -5*h**4 + 6*h**3 + 4 + 10 - w. Let k(s) = -s**4 + s**3 + 1. Let n(t) = -6*k(t) + p(t). Differentiate n(j) wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 599910 + -1921910. What is x rounded to the nearest 10000?\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**2 - 28*a - 214. What is the units digit of u(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:26 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:01 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.730144km?\nAnswer: 2730144000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*-2*5. Let m be 0 - (i\/2 + 2). Suppose -2*f - 5 = 3. What is the biggest value in m, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/4 + 989*t\/4 - 97851\/2 = 0.\nAnswer: -1158, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 11*q**2 - 4*q - 7. Let g = 7 - -3. Is p(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 795, 5813, 19429, 45939, 89639, 154825, 245793, 366839?\n\"Answer: 716*a**3 + 3*a**2 - 3*a + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 3*z**3 - z**2 + 3*z.\nAnswer: z*(z - 3)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - -10. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -812 - -820. Factor -4*u - 13*u**2 + s*u**2 - 45 + 0*u**2 + 6*u**2 - 8*u.\nAnswer: (u - 15)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**5 - 67495*s**4 - 2*s**2 - s - 35767.\nAnswer: -40*s**3 - 809940*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -0.5, 384?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 19\/10)\/(1\/(-2))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2\/3) - -2. Let x = 6 + f. What is the least common multiple of x and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 2. Let t be p(-2). Suppose -22*v - 18 = -62. Put t, -3, -7, v in decreasing order.\nAnswer: t, v, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6220037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846200665 to the power of 1\/3, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26283836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/11, -9, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18961 divided by -4308.\nAnswer: -18961\/4308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5942 is divided by 119.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5457 divide 354246711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022447 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:05 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 866412258 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6390 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, -0.4, -6 in increasing order.\nAnswer: -15, -6, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -690193 - -690224.00065. Let i = z + -31. Round i to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -34. Let q be 3*-1*(-3)\/(-3). Let n = 13 + -8. Sort v, q, n.\nAnswer: q, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -2146\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1408 and 486048?\nAnswer: 21386112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -5882\nAnswer: -8\/2941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33925082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 480\/(-105) + 8 - (-12)\/(-28). Put s, 280, -5 in descending order.\nAnswer: 280, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 + 2*l**2 - 2*l + 1. Let x be y(1). Let n(v) = v**3 + 13*v**2 - 5*v + 11. Let f be n(-13). Let i(r) = -70 + r + r + f. What is i(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33 (b) 4986 (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*q - 21 + 8 = 0, 0 = 3*s - 2*q - 12. Suppose s*h = 4*h - 48. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.093 and 19.2053298.\nAnswer: 19.2983298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25093?\nAnswer: 23, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (1 + sqrt(252))**2 - sqrt(252))*4.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v**2 - 8*v + 14. Suppose 17*i - 18*i = 2*r + 7, 0 = 2*i + 3*r + 9. Calculate the remainder when q(i) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -2*o**3\/15 - 296*o**2\/5 - 43808*o\/5 - 844. Factor x(u).\nAnswer: -2*(u + 148)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925798417?\nAnswer: 859, 1077763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 103582 = 12237 + 10985. Does 200 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 5*a. Suppose -7*c = 103 - 40. Is (20 - c\/a)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28992.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16\/7, 5, -5, -4, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 0.41\nAnswer: -11.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 3*w**5\/10 + 32*w**4\/3 - 188*w**3\/3 + 96*w**2 - w - 293. Determine p, given that o(p) = 0.\nAnswer: -24, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1194 + 2389\/2. Find u such that 1\/2*u**3 - u**2 + 0 + r*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.237 + -3.257. Which is the third smallest value? (a) -13 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/20 - b**3\/3 + 2*b**2. Let q = 2 + 0. What is the units digit of f(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 46*r + 82. Determine z(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**5\/4 + 5*s**4\/12 + 5*s**3\/6 - 5*s**2\/2 - 10*s. Find b such that p(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -912 by 4.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 0 - 4) + (-6 - -9) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from 4.3667.\nAnswer: 4.1967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*m**3 + 3 + 0 + 2*m**3 + 0 + (4 - 4 + m**2)*(-5 - m + 5) + m**3 + 0*m**3 + m**3 + (-m**2 + 0*m**2 + 3*m**2)*(5 - 2*m - 5).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 3*p - 28, 3*p + 14 = -2*w. Let o be ((-2)\/w)\/((-3)\/(-7)). Are 1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.2 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 22 = 14. Let z(g) = 3*g - w*g - 6 - 6*g - 1. Is z(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, e: 3, g: 1, v: 3, i: 2, m: 1}. What is prob of sequence vmae?\nAnswer: 9\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 5*b + 3*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 - 355*t + 2520 = 0 for t.\nAnswer: 8, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 68 + 75 - 142. Let s(g) = g**2 - 4*g + 3. Calculate -s(o) + 2*v(o).\nAnswer: o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -846, -846, -844, -840, -834, -826?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/12, -0.63, 9266, -2\/5 in ascending order.\nAnswer: -0.63, -2\/5, 1\/12, 3, 9266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 20 = -4*q, 2*d + 4*q + 1 = -3. Solve -2*u - d*o = -18, 2*o = 3*u - 7 + 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4768*u**3 + 121*u**2 + 855*u**3 + 122*u**2 + 118*u**2 - 360*u**2 in the form y + t*u**2 + f*u**3 + c*u and give f.\nAnswer: -3913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4981 + 5003. Solve -5*h - 6 = -24*j + v*j, -9 = -5*h - 3*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 48839252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069904113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42536142.\nAnswer: 2, 3, 11, 17, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 4 (c) 0.15 (d) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((3\/(-16))\/(1\/(-20)*-12))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -18. Let y = -2 + s. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -912192412 less than -0.47?\nAnswer: 912192411.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - x + 14 = -4*b, 0 = -5*b + x - 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66431, -132863, -199295?\nAnswer: -265727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -6197.8976?\nAnswer: -6198.2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 50. Calculate the least common multiple of f and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-237*u + 3929*u**3 - 1961*u**3 - 1969*u**3).\nAnswer: u**3 + 237*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.301193 rounded to one dp?\nAnswer: -28.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/1 - (-8)\/12. Let c be 19\/1 - k\/(-2). Solve -l = -3*q + 13, q - c = -3*l + 7*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 - -10)) + 3 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62198828, -62198819, -62198804, -62198783, -62198756, -62198723?\nAnswer: -62198684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, -27\/7, -5?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d2 (base 15) in base 9?\nAnswer: -1448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 21297 and 21297 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*i + 5, -4 = 4*q + 4*i - 44. Let t = 31.5 - 57.5. Which is the fourth smallest value? (a) 4 (b) t (c) q (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msbstsbms. What is prob of picking 1 b and 1 m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**4\/6 + 8*t**3\/3 + 30*t**2. Let g(w) = -w**2 + 8*w + 2. Calculate the remainder when v(0) is divided by g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 335, 338, 343, 350, 359, 370, 383?\n\"Answer: c**2 + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 3:56 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -48*k + 177. Let a be y(-1). What is the highest common factor of a and 1300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20212321 (base 4) to base 15.\nAnswer: a6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 142, 290, 450, 628, 830, 1062, 1330?\n\"Answer: m**3 + 141*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246443567 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let v be 0\/o - 0\/3. Suppose v = n + 3*n - 40. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.8677 millilitres in litres?\nAnswer: 0.5318677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42988387 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -76318.60632 + 66\nAnswer: -76252.60632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2*m**2 - 4*m + 3. Let n be u(3). Let g(t) = t**2 + t + 22. Let o be g(n). Factor -16*r - 48*r**3 + 29*r**2 + 18*r**4 - 7*r**2 + o*r**2 + 2.\nAnswer: 2*(r - 1)**2*(3*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 3*y. Let h(l) = 4*l - 250 - 3*l**2 + 250. Determine 3*h(t) - 4*j(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 2, 1.3, 0.01, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2241 = -2559. What is y rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 3*t**2 + 4*t**2)*((4*t + t - 3*t)*(-t - 2*t + 2*t) - 51*t + 51*t - 97*t**2).\nAnswer: -297*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3578, -3208, -2846, -2492?\n\"Answer: -4*p**2 + 382*p - 3956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117379.9 centuries in years?\nAnswer: 11737990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/7 - 8661\/3190. Let c = -272\/145 + h. Calculate the common denominator of -3 - (-3 - 159\/(-42)) and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**2 + 19*d**2 - 5*d**2 + 21*d**2.\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -160 - 2*t - 2*t + 148. Let h be d(-4). Solve -2*s + 14 = 3*c - c, c + 13 = h*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111479164150 - 0.5\nAnswer: -111479164150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*l = 2096, -2*m + 2*l + 2387 = 991. Calculate the remainder when m is divided by 338.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 72602040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1054 and 0.04.\nAnswer: 0.004216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 8:18 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27\/11 in -6, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.4 and 9876.\nAnswer: 132338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168497245.9006076 - -168497099. Let w = j - -146.9. Round w to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540*-1006.\nAnswer: -543240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + 677625?\nAnswer: 677609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwwwwwfww. Give prob of picking 2 w.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -124322 (base 10) in base 16?\nAnswer: -1e5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -21)*840\/2100\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, z: 7, l: 9}. What is prob of picking 2 z and 2 u?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000559431 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 10*l**2 - 11*l + 10. Let h be z(11). Let o(x) = -x**3 + 10*x**2 + 14*x - 13. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Let z = 411 - 415.4. Let p = z + f. What is the biggest value in p, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2. Let f(q) = q**2 - 9*q - 46. Let l be f(13). Let k(w) = 211*w - 14. Let j(s) = 210*s - 12. Let t(y) = l*k(y) - 7*j(y). Calculate h(t(p)).\nAnswer: -41616*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18 - -8)*1\/(-2). Suppose -6 = -c - n*r + 11, 0 = -2*c + 4*r - 36. Let b(m) = 2*m**2 + 3*m - 8. Does 8 divide b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/7)*w*w**28*(w**8\/w*w)**(7\/13) assuming w is positive.\nAnswer: w**(3070\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010020423 to 6 decimal places.\nAnswer: -0.001002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 2*j**2 - 4. Let u(o) = -6*o**3 - 7*o**2 + 13. Give 7*m(w) + 2*u(w).\nAnswer: 2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3415459 is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:43 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105.2 - 27.2. Suppose 0 = 18*a - 16*a. Is a smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnmnjxnxxjnnnxmd. Give prob of sequence njd.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*b - 5*f + 55, -3*f = -5*b + 15. Solve -v = -b + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - -19 - 10) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.457912 plus -0.5?\nAnswer: 40.957912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 - -21?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099122757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5 = -3*u, 0 = 5*b + 117*u - 121*u + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 - 6*a - 9*a**2 + 4*a)*(3*a**3 - a**3 - a**3).\nAnswer: -16*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h**2 - 36*h + 107. Let i(y) = y**2 + y + 2. Let p(r) = -4*i(r) - m(r). Is p(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.5705417 to 1 dp.\nAnswer: -66.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -27. List the prime factors of 8*6\/o*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/20 - q**3\/3 - q**2\/2 + 2*q. Is c(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 - 5*r**4 + 3*r**4)*(3 - 2 + 1)*(6*r - 5*r + 4*r).\nAnswer: -30*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + (2*sqrt(396)*-2 - sqrt(396)) + sqrt(396) + sqrt(396) + sqrt(396))\/(sqrt(9) - (sqrt(72) - sqrt(72)*-3)\/sqrt(8)) + 0.\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.9. Let n = -10.2 - -6.2. Put v, 0.3, n in ascending order.\nAnswer: n, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 2, r: 1, t: 1, p: 3, o: 1}. Give prob of sequence op.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttiq when four letters picked without replacement from {q: 1, t: 2, i: 6, e: 4, j: 7}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let b(q) = 2*q**2 + q - 1. Suppose 20 = -m + 5*m. Let a(j) = -j**3 + 6*j**2 - 4*j - 7. Let z be a(m). Determine b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 243.36 - 1.36. Let l = w + -242.427. Round l to two decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d**3*q*v**3 + 15*d**3*q*v**2 - 30*d**3*r**3 - 4*d**3 + 6*d*q*r**3 - d*q*r**2*v - 4*d*r**3*v**3 wrt r.\nAnswer: -180*d**3 + 36*d*q - 24*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52725921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-105)*33 - (3 - -2). What is the nearest to a in 1, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 2*f**2 + f - 4. Calculate the least common multiple of 3 and z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*l - 1 - 7*l**2 - 6*l - 2*l**2 + 39*l - 16*l in the form i*l + b*l**2 + g and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -310, -347, -370, -373, -350?\n\"Answer: l**3 + l**2 - 47*l - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34024266 to the nearest integer?\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 17 = v - 122, 4*r = -v + 125. Let j = v + 12. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 9*w**4 - 56783*w**3 - 669870*w**2 - 986116*w + 252840 = 0.\nAnswer: -10, -2, 2\/9, 6321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 538, 941, 1348, 1759, 2174?\n\"Answer: 2*j**2 + 397*j + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128287?\nAnswer: 128287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u - 33 = 0. Calculate the greatest common factor of u and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29600 - 29600 - 594*t + (0 - 1 + 2)*(-4*t + 5*t + 0*t) as z*t + u and give z.\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -322389 + 322163.093. Let o = q + 226. What is o rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 5*j**2\/2 - j + 3. Suppose -6 = 4*f - 14. Suppose -5*g - 3 = f. Give x(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)*j**(2\/19)*j)\/(j**16\/j**(-3)) assuming j is positive.\nAnswer: j**(-2059\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24304 (base 9) in base 12?\nAnswer: -9511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g - 4. Let z be w(-6). Let i be (1 + 2)*1\/(27\/198). Let b = z - i. What is the greatest common divisor of b and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82149254 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 836 = 21*c. What is the smallest common multiple of 2\/(-3) + (-50)\/(-3) and c?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7577 + 7576.8. What is the closest to 1 in x, -6, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + 76\/12. Let s be 10\/((t*1)\/3). Let f(q) = -q**3 + 6*q**2 - 5*q + 6. Is f(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4275, 5109, 5943, 6777?\nAnswer: 7611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 8, -160, 64, -2 in descending order.\nAnswer: 64, 47, 8, -2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244023368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 0*r - 5*r - 12 + 15*r. Let t be z(8). Suppose -t*q - 3*j + 82 = -3*q, 5*q - 3*j - 320 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/12*(-15)\/(-2). Let z(q) = q**3 - 21*q**2 + 21*q - 24. Let r be z(b). Is 636 + (-4 - (r - -3)) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 2*p**2 + 236 + 4*p**3 - 236 to the form s*p**3 + d*p + o*p**2 + y and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + 2*sqrt(190)*-2 + sqrt(190)*-4*5)\/((sqrt(80) + sqrt(80)*3)\/sqrt(8) - (sqrt(10) + sqrt(40)\/(sqrt(32)\/sqrt(8)))))**2.\nAnswer: 10051\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 0.9154.\nAnswer: 1.1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9680 is divided by 2910.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = -46. Let x be 4\/24*-2*c. Suppose -26 - 4 = -x*w. Solve -4*g - w = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1410, 2712, 4006, 5286, 6546, 7780?\nAnswer: 8982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 0 + (-5 + 2 + 1)*(2 + 2 - 3) - 4 + 3 - 2)*(f - 3*f + f).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (46 - 15) + -6 + (-4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1080347, 1080349, 1080351?\nAnswer: 1080353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 4 - w**3 + 3*w - 1311*w**2 + 1314*w**2 - 5*w. What is d(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -1 + (1190 - ((-4)\/(-1) + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 574.4943 hours?\nAnswer: 34469.658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 22*d - 6. Let a be i(6). Suppose 0*s = 3*s - a. Suppose 0 = -5*t + 20 + 50. Calculate the highest common divisor of t and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 7*m - 81 = 0, 9*m - 47 = 14*m + 24 - 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 - 115. Let k(c) be the third derivative of -4*c**2 + 3\/100*c**6 + 1\/60*c**4 + 1\/25*c**5 + 0 + 0*c**s + 0*c. What is f in k(f) = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795178?\nAnswer: 2, 7, 11, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*f + 1410, -280 = 4*n - 4*f - 1408. List the prime factors of n.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 34\/124205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Find the second derivative of g - 2 + 5*j**5 - j wrt j.\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + 9 - -9) + 19\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2. Let q(k) be the second derivative of 7*k**3\/6 + 19*k. What is g(q(x))?\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-20)*(-3740)\/(-352))\/((-4)\/(8*5))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 370529503 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 37097080.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -316, -1280, -2888, -5140, -8036, -11576, -15760?\n\"Answer: -322*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*f = -69*f + 153. Solve 5*l - 27 = -f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364328.\nAnswer: 2, 45541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20765, -20639, -20421, -20105, -19685?\n\"Answer: g**3 + 40*g**2 - g - 20805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (22\/(-8))\/((-3)\/24) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 2}. Give prob of sequence xx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dadd1 (base 16) in base 12?\nAnswer: -1004501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*c + 2*c**2 + 182*c - 318*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 + -117. Let v = d + -54.44. Let h = v - -0.439989. What is h rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -55, 9, 109, 251, 441, 685?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(1\/13))\/(g*g**(2\/47)))\/(g*g**(-5)*g**(3\/19)*g*g))**(-5\/7) assuming g is positive.\nAnswer: g**(-99990\/81263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-57)\/(-5) - (-22)\/(-55). Suppose n*v - 18*v = -8*v. Sort 1, -2, v, -3.\nAnswer: -3, -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s. Let t(f) = 8*f + 0*f + 5*f - 6*f + 8*f. Determine t(n(o)).\nAnswer: -135*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -4. Let z be (-1)\/d + (-66)\/(-18). Solve z*j - 2*j - 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000321164 to six decimal places.\nAnswer: 0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 2*w**2 - 2*w - 1. Calculate t(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 474\/156 + 36*(-9)\/108?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = -4*k - 60, -4*k + 49 = -z. Which is bigger: -35 or z?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232 + 239 - 471 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 5*c - 70. Let p(w) = -8*w - 47. Give p(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 + v - 3. Let k(m) be the second derivative of m**4\/4 + 2*m**2 - m - 5153. Give 3*k(a) + 4*l(a).\nAnswer: -3*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1548274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -11. Let i(l) be the second derivative of -l**3\/6 + l. Give i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*f - 5*a + 45644, -f = 3*a - 22829. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/5 + 2\/10. Let g be (f - 0) + (-6)\/(-4). Is g >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0391 to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 + 75. Let l = -48 - y. Suppose 5*i - 11 = l. What is the remainder when 21 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581283 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*v**2*x - 14*v**2 + 33856*v*x wrt v?\nAnswer: -120*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 1, z: 1, q: 2, v: 2}. What is prob of picking 2 q and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 35 = 41 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -346, -697, -1048, -1399?\n\"Answer: -351*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*-2*(sqrt(78) + sqrt(78)*1 + sqrt(78)))\/((sqrt(270)\/sqrt(81))\/(sqrt(5) + (sqrt(5) - ((sqrt(15)*1)\/sqrt(3) - sqrt(5)))))*2.\nAnswer: -864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*h = 164*h + 975 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 16*m + 12*m = u, -2*m + 3*m = 2*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6584, -13223, -19920, -26675, -33488, -40359, -47288?\n\"Answer: -29*h**2 - 6552*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 613613126*f - 599052753?\nAnswer: 613613126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 equal to 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 - ((-269465)\/84)\/(3216\/9) and -17\/5896.\nAnswer: 47168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c + 8. Let f(q) = 4*q + 9. Let a(o) = -3*f(o) + 2*r(o). Let l be 3 - (1 - -5) - 6. What are the prime factors of a(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-128)\/(-40)*(1 - -4). Let w be (-53)\/(-11) + b\/88. Suppose w*x - 1015 = 750. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 33*r + 100. Determine p(16).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 - -195. Suppose 3*i - 3*o - 9 + 3 = 0, -2*i = 2*o - 16. Solve -4*z - t - 2*t = 6, i*z + 25 = n*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5347726 is divided by 411363.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 10*v**3 - 135*v**2\/2 + 95*v - 75\/2 = 0.\nAnswer: 3\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 30*x**2 + 22*x - 27. What is m(-14)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*z + 341 - 277 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -47, 87, 2, 482 in decreasing order.\nAnswer: 482, 87, 2, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1557.2\nAnswer: 467.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -187, -5785.\nAnswer: -5785, -187, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19414 + -18897. What is the remainder when d is divided by 332?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 523496 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8779 (b) -1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7*l - 2)*(229*l - 143*l + 567*l).\nAnswer: -4571*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 5:36 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149868 and 28134?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0*o + 0 + 0*o**6 - 1\/6*o**4 - 1\/210*o**7 + 4*o**2 + 0*o**5 + 0*o**3. Find the second derivative of q(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -23, -52, -93, -146?\n\"Answer: -6*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*15\/(1575\/60).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**2\/2 - 29*v - 19. Suppose -5*b = y - 24, 8*b - 5*b - 5*y + 8 = 0. Let i be 4\/(-14) - b\/(-14). Calculate l(i).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 4:58 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/10 - 4*c**3\/5 - 4*c**2\/5 + 48*c\/5 - 185. What is s in g(s) = 0?\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86882 = -151*i - 79030 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/23, 1.9, -0.2, 2, -1, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124 + 0 + 60 - 80 - 554*j**2 - 6 wrt j?\nAnswer: -1108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5419 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**4 - r**3 - r**2 + r. Let o(m) = -3*m**5 + 3*m**4 - 12*m**3 - 12*m**2 + 15*m - 3. Let y(u) = 6*k(u) - o(u). Factor y(n).\nAnswer: 3*(n - 1)**4*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.7613 millilitres in litres?\nAnswer: 0.2307613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3256645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = l + 4774, 3*s - 3586 = -11*l + 9*l. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((5\/25)\/(49\/7210))\/(328\/(-1)) and 23\/656.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -22. Suppose m + 3*o - z = 5, -12 = -4*o. Let x = -0.29 - -0.59. Which is the second smallest value? (a) 3 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.682 - 2.\nAnswer: -6.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0231 times 1.8\nAnswer: -0.04158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + 0)\/((-1)\/37) is divided by (75\/(-9))\/(240\/(-144))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 - 3*j)*(589*j - 5 + 589*j - 1159*j).\nAnswer: -57*j**2 + 34*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -250*g**3 - 4*g**2 + 42*g - 43. Is a(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 3*a - 11 = 18, 13*f + 15*a - 43 = 20*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14549401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3480 + 3451 + 472\/14 + -1?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*w - 14299 = 7197, 3*t + 5*w = -16115. Let h = t - -1198627\/223. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 633343 + 603?\nAnswer: 634246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 - 2 = 0. Suppose 0*y + y - p = 0. Suppose -y*d + 313 = 4*v + 91, -3*v + 5*d = -160. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 - 1044*f**4 + 67596*f**3 + 68644*f**2.\nAnswer: 4*f**2*(f - 131)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 15*s**2 + 60*s**2 - 3*s**2 + 27*s**2 - 15*s**2. Let f(w) = -w. Calculate x(f(q)).\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((20\/(-8))\/((-11)\/(396\/45))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*u**3*w**2 - 407*d**2*u**3*w + d*u*w + 3*u**3 - 2*u**2*w + 45*w**2 wrt d.\nAnswer: -2*u**3*w**2 - 814*u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - o, -3*o - 30 = -h. Calculate the least common multiple of 33 and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 61. Suppose y*x + 24 = -2*p, 3*x + 5*p = x + 4. Let n be ((-121)\/(-2))\/(x\/(-16)). Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 7*o + 45. Let c be b(10). Let h be ((-5)\/3)\/(c\/(-180)). Let m be h\/(-40) + 32801\/2. Round m to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003527 to six decimal places.\nAnswer: 0.000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 86120934 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/39 + 119\/78. Let n = 33 - -55. Let h = 87 - n. Put h, 0.07, o in decreasing order.\nAnswer: o, 0.07, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7050421 to the power of 1\/2, to the nearest integer?\nAnswer: 2655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/5*((-20)\/(-15))\/(6\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 5) to base 9\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 45900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/((-3 - (-3 - 0)) + 1). Suppose -5*q + 25 = w, 4*q = 5*w - 135 + 10. Let r = w + n. Solve 0 = -5*d + g + 11, 5*d + 1 = -r*g + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, -2, -46 in ascending order.\nAnswer: -46, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7 - 1346*d**3 - 22*d + 655*d**2 - 655*d**2 - 13 wrt d.\nAnswer: -8076*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 + 245 = 6*r. Suppose k - r = -4*z + 3*k, 3*k - 30 = -2*z. Let x(j) = -z*j - 53 + 53 + 25*j. Calculate x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 127*y\/2 - 250.\nAnswer: -(y + 4)*(y + 250)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, p: 2, u: 13}. What is prob of sequence ppu?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 38*h - 1028. Determine l(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*u - 3*u = -81, 0 = 2*p - 3*u - 33. Let r be ((-7)\/p)\/(3\/(-1377)). What is the greatest common divisor of r and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 223 - 772 + 247 = 0. What is the greatest common divisor of z and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1202048 and 107\/2080.\nAnswer: 78133120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 47*r + 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-258)\/8 - (-1)\/4. Let a = -16 - g. Calculate the lowest common multiple of 2 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (4 - 2 - 3). Let m = -32 + 20. What is the tens digit of d*((-651)\/m)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 1. Let z(c) = 3*c**2 + 62. Let u(a) = 3*o(a) - z(a). Let n(g) be the first derivative of u(g). Let b(s) = 6*s. Calculate b(n(w)).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2435 - -2448. Calculate the remainder when 65 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 148716, 148715, 148714, 148713, 148712?\n\"Answer: -f + 148717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -27*u + 262. What is w(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7099723 - 4.71. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*r - 40, -2*r = -6*r - 5*k + 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 1\/24*c**4 - c**2 + 0 + 0*c - c**3. Give t(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(1 + sqrt(539) - sqrt(539)) + -2*sqrt(539)*1 + (sqrt(891) - sqrt(891)*-1 - sqrt(891)) + -1 + 2*1*sqrt(891))**2.\nAnswer: -3726 + 104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 1.8. What is the biggest value in z, -0.02, -8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 4*s**2 + 7*s - 4. Let j be i(4). Suppose -6*l - 25 = -l, 4*q + 4*l = -j. Let w = 118 - 1300\/11. Which is bigger: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-80)\/(-28))\/(6\/21) - 2. What is the highest common divisor of 56 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 30*r**2 - 96*r + 128.\nAnswer: -2*(r - 1)*(r + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**4\/4 + 4*y**3 + 19*y**2\/2 - 15*y + 1648. What is d(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (25 - 15) + -18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 + 33968*k - 33968*k.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 5:23 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.2735 - 2084901.\nAnswer: -2084933.2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(5)) - (sqrt(125) - (sqrt(125) + (2 + sqrt(125) - sqrt(125))))**2 - (-3*sqrt(605) - ((sqrt(5) + -3)**2 + -2)).\nAnswer: 2 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 20. Suppose o - i*t = 2*o + 2, -3*o - 6 = -t. Is -1*-1*(o - -337) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 48 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 313*-2*(135\/(-18))\/15. Suppose 5*r + 5*q = r + f, 2*r = 5*q + 119. What is the greatest common divisor of r and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -12*w + 428. What is d(20)?\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 2*o - 5. Let w be a(-4). Suppose 4*z = q + 20, w*z = 3*q - z + 20. Suppose -t = -5*n + 20, -5*t - 43 = -n - 15. Solve q = n*x + 5 + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141466554 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 250062.\nAnswer: 11\/125031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b. Let r(i) be the third derivative of 1\/6*i**4 + 56 - 2*i**2 + 0*i + 8\/3*i**3. Determine r(n(h)).\nAnswer: 8*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.383 - 2.583. Which is the third smallest value? (a) i (b) 0.1 (c) 5 (d) -2\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 1. Let z be a(1). Let p = -394 - -394. Put p, z, -1 in descending order.\nAnswer: z, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709431227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-8)*6)\/(6\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*y + 20, 5*r = 3*r + 4*y + 8. Suppose 13 = -3*k - 5. Let q = r - k. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8677027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -437, -435, -433, -431, -429, -427?\n\"Answer: 2*f - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 18 = -2*u, c - 245*u - 21 = -249*u. Solve 4*a = -8, -c*p + 5*a = 3*a + 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 448958*x - 448978. What is b(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 2*c**3 - 8*c**2 - 8*c.\nAnswer: 2*c*(c - 2)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*8\/12 + -17. Let p be 2\/((-2)\/k*3). Solve p*h + 4 = 4*g, 3*h + 0*h = -5*g + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -12 (c) -1\/7 (d) -2\/13 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2. Let j be (19\/95)\/((-1)\/(-5)). Determine r(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 77729800618.\nAnswer: 77729800617.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 2, 155, 0.1?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/((-1)\/309) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30620 and 40?\nAnswer: 61240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 5:09 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26972 is divided by 161?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9382355 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 - 3*z + 8. Let t be p(2). Let n be (-2 - (-620)\/t) + (-14)\/(-91). Solve -d + 4*g - 12 = 0, 0 = 4*d - g - 2*g + n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 16*i**2 + 2*i + 34. Let u be k(-16). Suppose 0 = 5*o + 5*x - 200, u*o = 2*x - 6*x + 90. Solve 16 = 4*f + 4*c, f + 5*c - o + 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/17 - 4*o**2\/17 - 2*o\/17 + 4\/17 = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 44785644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -3.43?\nAnswer: -3.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2.9. Let n = -0.11 + -4.89. What is the closest to o in -0.2, 0.3, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237323 + -111067241\/468. What is the common denominator of g and 91\/276?\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124*j + 1124*j + 160*j**2 + 64*j**3 - 160*j**2.\nAnswer: 64*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.87*0.453\nAnswer: -0.39411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-90)*(-6)\/((-180)\/50).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05837 - -0.06837. Which is the second biggest value? (a) 102 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152857, -152831, -152797, -152761, -152729, -152707, -152701?\nAnswer: -152717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 249 = -35*d + 2*g, -661*g - 18 = 4*d - 666*g for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) - (-4)\/(-14). Let r = -4981 + 4983. Solve l*x - r = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.1 (b) 0.06 (c) 4 (d) 71\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 8. Let x = -23 - -33. Let o be d(x). Let n be -76*(-2 + (-3)\/o). Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 291 (b) 2\/3 (c) 37 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g + 49*g - 92*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1 + 5*m - 1 - m**2 + 5. Let a be w(5). Suppose -5*f + 4*d + 212 = 0, f - 2*f = -a*d - 38. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81343?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 495221352.\nAnswer: 495221357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4.4, -2, -2\/11, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5 = -1. Let c be -3*2*h\/8. Let j(k) = k**3 + 3*k**2 + 3*k + 3. Let r be j(-2). Which is bigger: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -331, -344, -379, -448, -563?\n\"Answer: -2*s**3 + s**2 - 2*s - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 - 5*w**2 + 7*w. Let i(j) = 16*j**2 - j - 30. Let y(u) = -13*u**2 + u + 24. Let x(s) = -4*i(s) - 5*y(s). What is -f(n) - 4*x(n)?\nAnswer: -3*n**3 + n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/9)*d))**(2\/31)\/(d**(-8)\/d)**37 assuming d is positive.\nAnswer: d**(92903\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.48, 4, 0, -3.\nAnswer: -3, -0.48, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 71*h - 42*h + 0*h**2.\nAnswer: -h**2 - 113*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - 1) + (-27 - -31)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 k = -446 - -425.9. Let x = 19.98 + k. Which is the second smallest value? (a) -3\/5 (b) x (c) -5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v - 1169. Let o(i) = -2*i**2 - 17. What is b(o(x))?\nAnswer: 20*x**2 - 999","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5334.1 + -1.\nAnswer: -5335.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 3, -158.\nAnswer: -158, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 9*s - 6. Let a be k(-9). Let r be (0 - -1*2) + 1356\/a. What is r rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022715005 to 4 dps.\nAnswer: 0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17693, -2\/29, -0.1, 0, -1, 2\/5, -2\/3?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179839 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 3*c + 2*t = 5, 2*c - 25*t - 26 = -32*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540641830 by -108128366.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -51.800104\nAnswer: 103.600208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -39*n - 89. Does 8 divide b(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/39)*m\/(m*m\/m**33) assuming m is positive.\nAnswer: m**(1246\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -44\/53275, 2, 0.01 in ascending order.\nAnswer: -44\/53275, 0.01, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2682 - 8710*g**3 + 2682.\nAnswer: -8710*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27326167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.87945 micrograms to milligrams.\nAnswer: 0.05387945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12292594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, y: 7}. What is prob of picking 3 m and 1 y?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 19*z + 19*z as a + r*z + m*z**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 + 51*h**3 - 120*h**2 - 900*h = 0. What is h?\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*u + 48 = -109*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2744 and 46\/28469.\nAnswer: 227752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3231*d**4*u - 56*d**4 - d**2*u + 62*d*u - d + 6*u wrt d.\nAnswer: -77544*d*u - 1344*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(75)*-5 + -2.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 186*d**4 + 0*d**2 - 2*d - 317 - 309 - 2*d**2 - 2*d**3 + 3*d**3 + 627 as c*d + g*d**3 + w + s*d**2 + v*d**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 190.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14) - (7 - ((-408)\/(-42) + -4)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 - -97. Factor 5*q**2 - 4*q**2 + 0 - 5 - 5*q - b.\nAnswer: (q - 6)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*n = -344 + 348, 0 = -3*a + 3*n + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -607 - -593. What is the second smallest value in -3\/5, r, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000822297919 to 5 decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1736, -212, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2031 is divided by 363.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0836743623 to 4 dps.\nAnswer: 0.0837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2027, -0.02, -11, -20, 0.3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9344568.\nAnswer: 2, 3, 389357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.3. Let w = -65\/33 - -18\/11. Which is the second biggest value? (a) t (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/5 (b) -3\/4 (c) 2 (d) 0.077 (e) -1370\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -3.95. Let x be ((-139)\/4)\/((-6)\/(-24)). Let v = 975\/7 + x. Which is the closest to v? (a) j (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/286 and 3\/104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 + 7*s**2 - 5*s. Let y(h) = h. Let c(f) = g(f) + 5*y(f). What is the third derivative of c(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 18. Suppose 0*f - 35 = -4*o + 5*f, 9 = y*o + 2*f. Suppose o*g - g = 4*i - 440, -4*g = -5*i + 549. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/120 + h**5\/20 + 7*h**4\/24 - 5*h**3\/6 + 6*h**2. Calculate the remainder when 20 is divided by k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15297 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112) + 1)**2 - ((1 + sqrt(7))*-3)**2.\nAnswer: -2*sqrt(7) + 377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -1\/2*m**2 - 2 - 4*m. What is a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6. Suppose o = -5*p + 14, -4*p = -5*o - k*p + 70. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13194947, 13194945, 13194943, 13194941, 13194939?\n\"Answer: -2*y + 13194949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(1\/6)\/o*o)\/o))**(-11\/2)\/(o*o**(1\/3)*o**6*o) assuming o is positive.\nAnswer: o**(-221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 190, 5, -13, 1, -9, -1 in decreasing order.\nAnswer: 190, 7, 5, 1, -1, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 583\/102 - 100\/17. Let u = 143 + -143.01. Let k be (-1)\/4 + (-10)\/8. Which is the third biggest value? (a) 5 (b) k (c) u (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugtutbtuutfgtggggusg. What is prob of picking 1 b, 1 f, and 2 t?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44811 or -44812?\nAnswer: -44812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 16 = -l, -l + 9*r = 5*r - 40. Let o(x) = l*x + 16*x - x**3 - 4 + 24*x - 67*x - 4*x**2. Determine o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + 17. Let v = 260 + -296. Let n = v + z. Solve 3*m - 5 = n*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o + 3. Let w(j) be the third derivative of -j**4\/6 - j**3\/6 - 138*j**2. Calculate -3*i(v) - 7*w(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024) - (sqrt(3024) - (sqrt(3024) + 1*sqrt(3024) + sqrt(3024)))) + sqrt(21))\/(sqrt(112)*-2) - (4*sqrt(21)\/(-2*sqrt(448)))**2.\nAnswer: -37*sqrt(3)\/8 - 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90241838 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/49 and 103\/170?\nAnswer: 8330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-10) - 5\/(-25)) + 0. Determine s, given that -2\/5*s**3 + 1\/5 + 2\/5*s + y*s**2 - 1\/5*s**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (46\/(-2))\/(-1) + -1. Let s be 1 + 2 + (-70)\/g. Let f(b) = -b. Let p be f(1). Which is smaller: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/4)*l*l**(-2\/5))**(-3\/19) assuming l is positive.\nAnswer: l**(39\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9531*w**2 + 4236. Let y(g) = 2*g**2 + 1. Give -c(d) + 4236*y(d).\nAnswer: -1059*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -490 (base 14) to base 6.\nAnswer: -4114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34555 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 - j - 113. Let i(o) = 2*o**2 - 1. Determine 3*i(k) + u(k).\nAnswer: -2*k**2 - k - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 7:08 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107860116?\nAnswer: 2, 3, 7, 13, 98773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 5*k**5 + 5*k**5 + (k**2 - k**2 + 2*k**2)*(4*k**2 - 4*k**2 - 16*k**3).\nAnswer: -31*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d + 5*d**2 - 4*d**2 + 5 + 3*d - 9. Determine l(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccnhyqyffyfff. What is prob of sequence qcc?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -16. What is the second derivative of 5*w**m + w**2 - 12*w + 2*w wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m + 1124 - 4654 = -576 - 1519 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.37 (b) -13 (c) 102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 3 - 3)*(2 - 48 + 3) as q + v*f and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40470\/6650*315\/27?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 9*p + 2. Suppose -3 = -n + t, -5 = -2*n + 2*t - t. Suppose 3*g - 16 = -n*x, 2*x - g = x + 3. Determine c(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-12)*3*-10. Let i(g) = 2*g**2 + 12*g - 5. What is the tens digit of i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20412 by 6.\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-41701)\/4 + 0 - (-15)\/60. Let i = 70 - p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1167237836 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 6:09 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u - 12*u = -11*u - 861862. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + x = -14, 5 = -3*x - 7. Let g be -2 - (-1)\/1 - 3. What is the smallest value in g, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19246676 is divided by 1065?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 76. Let d(l) = -10*l**2 + 80*l + 20. Let j(m) = -2*m**2 + 8*m + 2. Let w(z) = 3*d(z) - 30*j(z). Calculate s(w(g)).\nAnswer: -60*g**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-397 - -382) + 211\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -612 + 293 + 26*j**2 + 117*j + 298. Differentiate x(f) wrt f.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 27*b - 2 + 30*b + 2*b**2)*(14*b - 14*b + b**2) as v*b**2 + f*b + m*b**3 + c + w*b**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 30.4?\nAnswer: 29.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 927 - 639. Suppose 0 = 2*l - h - 916. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*c - 22, 5*j + 4*c - 23 - 3 = 0. Suppose 4*p - j = 3*p. Find the second derivative of -6*i**4 - 2*i**2 - 5*i + 2*i**p + 0*i**2 wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuqqiiuiiuuquqi. What is prob of sequence qqu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 912? (a) 1 (b) 2\/113 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjh when three letters picked without replacement from hwhjcj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39\/(5967\/(-34)) - 94088\/(-9).\nAnswer: 2, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 3)*1 - -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Factor -5*o**r - 2*o - 4 + 4*o**2 + 2*o**3 + 5*o**3.\nAnswer: 2*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s**2 - 6*s - 6. Let i(p) = 35*p**2 - 17*p - 17. Let m(n) = -11*n - 16. Let q be m(-2). Calculate q*i(f) - 17*y(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.96585 millennia in years?\nAnswer: 13965.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -130 - 32 - 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181074266 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 290*p - 296*p + 1494. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4892.34425 + 4983.3. Let n = -91 + k. What is n rounded to three decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8705351 = 4*r + 8705342, 18 = -2*r + 4*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**4*p)\/p*p**(-2\/3))\/(((p\/(p*p*p**3))\/p*p)\/p**(3\/7)))**(-2\/77) assuming p is positive.\nAnswer: p**(-368\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - y - 142. Let g be a(0). Let n = 55537\/12 + -4625. Calculate the common denominator of 8\/4*g\/80 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n**2 + n. Let w be 25 + 3 + 2*-1. Suppose 0 = -4*u - b + 3*b + 6, 4*b + 12 = -5*u. Suppose -5*d + 21 - w = u. Calculate x(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6818995199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 - 2*i**4)*(-5*i + i + 3*i) + 29747*i**4 - 1226*i**5 - 29747*i**4 + 2*i**2 - 2*i**5 - 2*i**2.\nAnswer: -1226*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 35 + -42 + 4 + 20 + -1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 24. Let t be f(-12). Let i(j) = -6*j - 22. Let y be i(t). Is 51 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 4*m**2 - m**2 + 120*m**2 + 99*m**2 - 186*m**2 + (0 + 0 + 2*m**2)*(1 + 5 - 5).\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31645016537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -55*t**3\/3 - 159*t**2\/2 - 51*t - 1. Is d(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 0.3 (c) -8 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-18)*-21*(-2001)\/4669.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -47833.\nAnswer: 191332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m**3 - 9*m**2 + 13*m + 11. Let p(d) = 7*d**3 + 5*d**2 - 7*d - 6. Let z(h) = 13*p(h) + 6*x(h). Let j be z(-12). Solve j = 4*a - 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = -2*a + 32, a = 3*r + 18. Suppose 16 = 5*i - i. Suppose a = 5*w - i*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072777.\nAnswer: 263, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 155120 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315254*0.5.\nAnswer: 157627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129325099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -108*y**2 + y - 5. Let d(i) = 2*i**2 - 3. Let f be d(-3). Suppose 4*u - f = 9*u. Let q be n(u). What is q rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2, 214, 4\/9, 4 in ascending order.\nAnswer: -2, -2\/7, 4\/9, 4, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 169211035 divided by 4\nAnswer: 169211035\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52542709 is divided by 151?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 1 (c) -2 (d) -379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 60500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 6*k**2 - 1\/2*k**4 + 0 + 0*k.\nAnswer: -k**2*(k - 6)*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 200329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 2. Suppose -15 = -5*d - 4*v, 4*d + d = -v. Let i(b) = 165*b + 2. Let p(g) = d*i(g) + 2*h(g). Find the first derivative of p(r) wrt r.\nAnswer: -169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5791.99989235 + 5792. Round o to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/219 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 3*r + r + (2 - r - 2)*(3 + 1 - 5) + 2 - 2*r - 2 + r - 2*r - 3*r - 135*r + 119*r + 114*r to p*r + w and give p.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d**2 - 235671*d + 180824612.\nAnswer: -20*d - 235671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.4, 7, -3\/10 in decreasing order.\nAnswer: 7, -3\/10, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(114) - sqrt(114))*2)\/((sqrt(36) - sqrt(36)*2)\/sqrt(6)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*q + 987*q + 4 = -a, -3*q + 3*a = 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -273, -466, -841, -1458, -2377, -3658?\nAnswer: -5361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**15*s)\/s)\/s)**33 assuming s is positive.\nAnswer: s**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -0.3 (c) 2 (d) -5 (e) -1268.82\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m. Suppose d - 2*d = m. Suppose -2*r + 0*r + 4 = d. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/7 (b) -2 (c) -4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 + 2*u**3 - 6*u**3)*(0 + 2 + 1)*(-u + 6*u - 3*u) to h*u + o*u**3 + l*u**4 + q + m*u**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -195*f + 3333. Calculate z(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 1, b: 1, t: 1, s: 2, r: 1}. Give prob of picking 1 s, 1 t, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, -66, -2, -8\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.3. Which is the biggest value? (a) 0.5 (b) 9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8172 and 161\/14982.\nAnswer: 89892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8488.\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345582307 to the power of 1\/2, to the nearest integer?\nAnswer: 36682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3 = 0, 21*a + 8*w + 126 = 15*a + 4*w for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvaakkkwkkmvamv. Give prob of picking 1 m, 1 a, and 2 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.2, 0.969, -3?\nAnswer: 0.969","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 608*b**3 + 649*b + 2654990.\nAnswer: 1824*b**2 + 649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + q + 23 - 7*q - 23 + (-1 + 0 - 1)*(-4 + 2*q + 4).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5445 + 4204. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/30 + u**5\/60 + u**4\/12 + u**3\/3 - 11*u**2. Let p be c(-1). Solve p*w = -0*w - 4*t + 7, 0 = 3*w + 5*t - 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2234 (base 10) to base 13.\nAnswer: -102b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 + 459\/(-63). Let j be 2 + (-2 - 2) - h. Suppose j*a = 382 + 668. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by -2009?\nAnswer: 23\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -67 and -77.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 28*w**2 + 612*w + 709. Give y(-22).\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/128)\/(2\/((-144)\/3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 12*d + 9*d - 218 + 221 + 5*d. Let b(j) = j**3 + 9*j**2 - 7*j - 10. Give -2*b(s) - 7*u(s).\nAnswer: -2*s**3 + 3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9253 = -l + 19*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 5*d + 0*d)*(-3 + 3 + 2*d) + d**2 - d**2 + d**2 - 3*d**2 - 5*d + 5*d + d**2 - 2*d**2 - d**2 + (-2*d - 1 + 1)*(-2*d + 5*d - d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7725\/39127 or 1?\nAnswer: 7725\/39127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/(-60))\/(6 - 30\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364295649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00477313 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 5*j - 1. Let p = -7 + 5. Let u(i) be the third derivative of 1\/6*i**4 - 1\/30*i**5 + 0*i - 4*i**2 + 0 + 0*i**3. Calculate p*o(b) + 3*u(b).\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10 = 10. Suppose 4*r - 16 = -4*z, r + q*z - 16 = -0*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -15\/16, 59?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -843*h**4 + 9*h**3 - h - 39696 wrt h.\nAnswer: -3372*h**3 + 27*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -18. Is 17 a factor of 4\/m - 50\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*a - 26, w + a = -w + 6. Factor 8*y**w - 8*y**2 + 61 - 4*y**5 - 33 + 4*y - 28.\nAnswer: -4*y*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-8) + 6\/(-24))*6\/(-1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 3*n + 2. Let h be p(3). What is d in 0*d**h - 2*d**2 - 5*d + 4 + 3*d = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21509, -43036, -64577, -86132, -107701?\n\"Answer: -7*y**2 - 21506*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1450, -9, -10.83 in decreasing order.\nAnswer: -9, -10.83, -1450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Let s = 0.3 - o. Let j = 143\/96 + 1\/96. Which is the smallest value? (a) 2 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -3 + 23 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972463?\nAnswer: 163, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29926178, -59852330, -89778482, -119704634?\n\"Answer: -29926152*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/2*(36\/25)\/((-5982)\/(-9970)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -11*d - 6. Let u = -3 + 4. Let r be -10*u*(-3)\/(-6). Is 20 a factor of y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*f - 24678012 = -2*o - 96*f, -o - 2*f = -12339008. Round o to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1723 + -244. What is the remainder when l is divided by 185?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -10, -5*g + 56 = s - 0*s. Suppose 4*k = -11 + s. Put 4, -4, k, -3 in descending order.\nAnswer: k, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 1\/4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((-6*4*(1 + sqrt(567) - sqrt(567)))**2 + (1 + (-1*sqrt(567) - sqrt(567)) + -4 + sqrt(567))**2).\nAnswer: -4608 - 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -147. Suppose 5*f + p = m, 0*f - f + 692 = 5*m. Suppose -m = 3*w - 6*w. What is the remainder when w is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2952 = -11*g. List the prime factors of g.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/2745 and 53\/24162.\nAnswer: 22108230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -2, -173, 1 in ascending order.\nAnswer: -173, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -376?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:18 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*a + 66, -38*h - 169 = -43*h - 2*a. Solve 58 = h*s - 89*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -1\/8 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 577\/97 - 108013\/873. Let b = h + 10159\/90. What is the common denominator of b and 49\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199369050 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(0 - 2 + 3) + 3 + 0 - 1 + 2 - 2 - 2)*(-1815 - 515*p + 1815).\nAnswer: -515*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168*f**5 + 1151488*f**4 - 133559116*f + 3?\nAnswer: 3360*f**3 + 13817856*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) -1 (c) -8\/24371 (d) 5.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11544063 and 2?\nAnswer: 11544065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 5. Let q be 31\/(-3) - 2\/(-6). Let x(l) = l - 2. Let z(m) = q*x(m) + 4*p(m). Let b(y) = -3*y. Calculate z(b(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0\/((-6)\/2 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1616746609326.81846031 + 1616746615941. Let k = 6607.38154 - j. Let v = k - -6.8. What is v rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574*v = 575*v - 7, -4*v = -x - 24. Suppose -5*b = -b + 20. Put x, 52, 0, b in descending order.\nAnswer: 52, x, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y - 7. Let p be w(-3). Suppose 0 = -r - 4*r + p. Sort r, 2, 1.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1351\/4 + -342. Let k = w + 77\/20. What is the third smallest value in -5, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-20)\/75*43\/((-1051092)\/315).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159 + -77. Let z = -23 + i. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let g(k) = 2*k**2 + 2*k + 1. Let c be g(-1). Let b(u) be the first derivative of u**3\/3 + 3. Determine c*o(l) + 2*b(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 - 38 = 0. Suppose 3*v + m + x = 5*v, -4*v + 22 = 2*m. Suppose -p - 248 = -v*y, 5*y = -p + 58 + 184. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20232132101 (base 4) to base 15.\nAnswer: -302ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.01717 (b) 1\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30258*h**2 - 984*h + 8.\nAnswer: 2*(123*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -2)*(-4)\/(-12)*-3. Solve 7 = i*p - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(1*3\/(-6)). Let o = -3 - c. What is the units digit of 0 + o*6\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + -3*((sqrt(700) + 1 + -4)*-3)**2)*5.\nAnswer: -478500 + 40500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 345580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001978248 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**4 - 4*b**3 + 8*b. Let r = -31 + 54. Let d(h) = 22 + 7*h**3 - r - 17*h**4 - 33*h + 17*h. Let n(f) = 4*d(f) + 9*y(f). Factor n(u).\nAnswer: 4*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/9)\/z)**9\/(z**(-21)\/z*z*z**(4\/9)*z*z) assuming z is positive.\nAnswer: z**(149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1*-2 + 5. Suppose 10 = -5*u + f, -c*u - 2*f - 6 = 3*f. Let o be (4 - u)*(-2)\/(-4). Sort 5, -5, o in increasing order.\nAnswer: -5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 + 100*m - 14175.\nAnswer: (m - 105)*(m + 405)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*b*j**3*q**2 + 2*b*j**3*q - 72*b*j**2 - 313*b*j*q**2 + 4*b*q**3 + 3*b*q - 438*j*q - j wrt q.\nAnswer: -318*b*j**3 - 626*b*j + 24*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 5*p + 3*p + 7*p + 67503*p**2.\nAnswer: 67503*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7*u = -4, 0 = 2*h - 2*u - 3552. List the prime factors of h.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l. Let q(r) = r**2 + 2*r + 9. Let w be q(l). Solve -w = 2*b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*o + 17, -c = 3 - 0. Suppose 4*a + 13 = m, -o*a + 165 = 5*m + a. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i**3 + 18492*i**2 + 841496?\nAnswer: 12*i**2 + 36984*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 - 406cc?\nAnswer: -40669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*o**5 + 6*o**5 - 6*o**5 - o**5 + o**5 + 2*o**5 + (-3*o + 3*o + o)*(2*o**4 + 0*o + 0*o).\nAnswer: -21*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 78086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -3.3540853?\nAnswer: -3.2540853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1*-8*-1. Suppose m*w - 12*w = -160. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**3\/6 + 19363*t**2\/6 + 1058327*t\/3 - 424880\/3 = 0.\nAnswer: -3760, -113, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133 and -22787.\nAnswer: 3030671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.99 + 0.01. Let x = z + -0.9. Let y(g) = g**3 + 1. Let d be y(-1). Which is the third smallest value? (a) 5 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stftggsgtsff. What is prob of sequence ggst?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -15) + 50 + -2. Suppose o + 69 = w, -4*w - o - 23 + 279 = 0. Let q = w - n. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/((-60)\/(-108)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, r: 2}. What is prob of picking 2 r and 2 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263687583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -734, -0.5, -6\/7, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 363859 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 281240693 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/8*120\/(-90). Let a be -1 - -5 - -1*(o - 6). Let v = 14\/5 - 17\/15. Is a at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 6 = 22*j - 1213. What is the remainder when 213 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a8 (base 11) to base 2.\nAnswer: -100101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 40 = 4*a - 80, 2*a = -2*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1736.08401 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2690935, 2690950, 2690973, 2691004?\nAnswer: 2691043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, d: 11}. Give prob of picking 2 d.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:30 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 1. Let n(j) = -16*j - 3. Let w(h) = n(h) - 7*t(h). Let q(x) = -x**2. Give w(q(s)).\nAnswer: 9*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 21*t**2 + 3*t - 3. Let o(w) = -336*w**2 - 49*w + 49. Calculate -98*g(j) - 6*o(j).\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295002*q**5 - 76*q + 32 wrt q.\nAnswer: 5900040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3 + 6*n**2 - n**3 + 2*n**2 + 6*n**2 - 23*n**2. Give v(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 1b14090?\nAnswer: -1b1409b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.08269812 rounded to the nearest integer?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-140)\/22) + (-2)\/(-4). What is the biggest value in -1, 2, 0, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 49 = -134 - 125 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -46*w**2 + 84*w - 118*w**2 - 43*w - 41*w. Let g(p) = -9*p**2. Determine g(d(l)).\nAnswer: -242064*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*x = 216*x + 18 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727*y - 731*y - 36 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(90)\/sqrt(81)) - ((sqrt(133)\/(sqrt(35)\/sqrt(5)))**2 + -1).\nAnswer: -18 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 7 = -2*t, -3*f = f + 2*t - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16\/2875, 4\/5, -0.4?\nAnswer: -16\/2875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 80\/3*c**3 - 24*c**2 + 2\/3*c**5 + 0 - 26\/3*c**4 + 0*c = 0. What is c?\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -c6?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a. Suppose i - 2 + 1 = 0. Let m be (9\/4)\/(6\/16*i). Suppose -14 = m*o - 2. Calculate k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99435654 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 0*z**2 + 0*z**3 - 1\/6*z**4 + 8*z + 0. Let x(k) be the first derivative of -19*k**2\/2 - 3. What is x(y(g))?\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o + 2. Let v(c) = -11*c + 5. Calculate -15*k(p) + 6*v(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -27 - 0 - (2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 81. Suppose 3*n = -2*n. List the prime factors of g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1807517*a**2 + 92520*a + 1 wrt a.\nAnswer: -3615034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1056 - 324 - 722*z**3 - 1508*z**3 + 194 wrt z?\nAnswer: -6690*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 86*z - 74*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 - c - 3*c**2 + 3*c**2)*(-14 + 18*c + 13*c + 17) to b*c**2 + k + f*c + z*c**3 and give z.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 699, 1344, 1991, 2640, 3291, 3944, 4599?\n\"Answer: p**2 + 642*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -14. Suppose m - w = 8. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**3*g + 5*f**3*y**3 - f**2*g - 8*f**2*y**3 - 5*f*g*y**3 - 2*f*g*y wrt f?\nAnswer: 72*g + 30*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 + -355256?\nAnswer: -355300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4 - 24818*b**3 - 1997760*b**2 - 7693288*b - 7594048 = 0.\nAnswer: -12328, -77, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31098817121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -52*c + 110. Let m = -6 + 8. Suppose -c*x + 249 = -m*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = -4*g. What is the remainder when 27 is divided by (g - -13)*3\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -629382, -1, -6 in decreasing order.\nAnswer: -1, -6, -629382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-5)\/4*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6521*p**2 + 11*p - 11. Does 19 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n + 7 + 9*n - 29*n + 4*n + 5*n. Let m(k) = 2*k - 6. Let b be 106\/(-22) - (-4)\/(-22). What is b*m(c) - 4*w(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f - 3*s, 0*f + 3*s + 6 = 2*f. Suppose 0 = -2*d + 4*o + 10, -f*d - 2*o = 2 - 1. Sort 2\/9, -17, d in decreasing order.\nAnswer: d, 2\/9, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -109, -7\/6, -3, -2, 2 in ascending order.\nAnswer: -109, -5, -3, -2, -7\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 2*q + 2, 0 = 5*b + 2*q + 2. Suppose 2*s - 3*t + 21 = -0, 5*s = 2*t - 25. Is s not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 9 - (4 - 0)) + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.7 + -6.3. Let k = i - -13.1. Let x = 192\/11 + -2518\/143. Put x, k, -3\/2 in decreasing order.\nAnswer: k, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j**3 + 2*j - 2. Let y(x) = 238*x**3 + 2*x**2 - 34*x + 35. Let b(d) = 2*d**2 + d. Let q(m) = b(m) - y(m). Give -2*q(p) + 35*r(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 1. Let n(j) = 10*j. Determine -n(o) - 4*z(o).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48408961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223320 + 13012?\nAnswer: 302332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/15*-84*(-16)\/(-864)*(-75)\/7.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 86386839 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 187*p - 1492. Let v be t(8). Solve 2*q - v = b, 2*q = 6*b - 7*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -2*y**4\/3 - 5*y**2\/2 + 6*y. Differentiate r(i) wrt i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 - 17 = 0, -221 = -2*f - 5*x. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 63 = -3*l + 29*t, 5*t = 5*l - 25 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.02, 1\/9, -2113, 2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9080228?\nAnswer: 2, 113, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -106111, -212428, -318741, -425050, -531355, -637656?\n\"Answer: 2*z**2 - 106323*z + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -26*m**3 + 9*m**2 - 11*m - 28. Let y be i(-13). Suppose -38*s + y = -21612. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:58 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**4 + u**3 + u. Let l(g) = -3*g**4 - 13*g**3 - 5*g**2 + 17*g + 10. Let r(m) = l(m) - 2*o(m). Factor r(c).\nAnswer: -5*(c - 1)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510 divided by -102\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 21*y**3 - 4 + 2*y**2.\nAnswer: 21*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/6, 645386, 2 in decreasing order.\nAnswer: 645386, 5, 2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758 less than -4273?\nAnswer: -6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55253987 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.454377 * 4\nAnswer: 5.817508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47020793 is divided by 2563.\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/784 - 9*z**7\/245 + 29*z**6\/280 + 13*z**5\/35 - 15*z**4\/14 - 32*z**3\/7 + 3711*z**2. Suppose q(w) = 0. What is w?\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -17*n**2 + 9*n + 1. Let p be j(-7). Let l = p - -1389. Suppose -2*g = -y + 173, 5*g + 28 = 3*y - l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2373\/6*(-1208)\/(-19026) + -22?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -105.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1216)*1 + sqrt(1216) - sqrt(1216)))**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -41102 (base 6) to base 12\nAnswer: -3192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 740340.\nAnswer: 5182380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82.9 + -82.7. Which is smaller: -105 or m?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Suppose -i*m - 3 = 3*g - 4*g, -3 = -g. Calculate the remainder when 19 is divided by (m + 20)*1\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 - 157. Is (-7278)\/(-4) - 1*s\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 376.8 + -376.7. What is the third biggest value in b, 1\/2, -3\/2, 1, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2152, -17252, -58226, -138010, -269540, -465752, -739582?\nAnswer: -1103966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d36c0 (base 15) in base 14?\nAnswer: -40d7d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 338 - 58. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**3 - 3170*o**2 + 9326075*o - 3374750500 = 0.\nAnswer: -1844, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(2\/5)*j)\/((j\/(j*j**(-7)))\/(j\/(j\/(j*j**(-1\/10))*j))) assuming j is positive.\nAnswer: j**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-4 - 46\/(-10)). Suppose -3*j + 0*j - 3*k - 3 = 0, -q*k - 27 = -5*j. Solve i - j = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -3 (b) 3 (c) 19 (d) 76509\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 7*t - 4. What is y(-11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -368 or -0.29?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/686720 and -67\/672.\nAnswer: 14421120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 3. Let k be x(-3). Let u be (-18488)\/(-44) - k\/(-33). Let h = u - 169. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 108, 1\/7, 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 7*b**2 - 9*b - 50. Suppose -5 = 35*w - 34*w. Is v(w) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c**2 - 15 + 9 - 2*c + 12 + 0 to h + a*c + l*c**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2)*6\/(-54)*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5202 and 675.\nAnswer: 3511350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1270*k + 2779 + 67389 = 153*k - 42249 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*4)\/((-27)\/27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2530 is divided by 118.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 114*r**2 + 1370*r + 32. What is l(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((10\/(-2065))\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 516*c + 404*c + 233*c + 3.\nAnswer: 121*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {n: 5, m: 4, k: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 - 6*a**2 + a - 5. Let i(s) = -s**3 + s - 1. Let x(r) = c(r) + 2*i(r). Let q be x(6). What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 2, c: 5, p: 1, i: 2, h: 2}. What is prob of picking 1 c, 1 i, and 1 h?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744248 and 1256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 3*f)*(-2*f + 3*f - 3*f) - 4*f**2 - 23 + 23.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 38 (b) -1 (c) -2\/5 (d) -0.04 (e) -31 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -574\/1369 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/25 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 296*n - 311*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1276.9 - -1277. Which is smaller: s or 2299?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 5*n**2 - 3. Let m be d(-5). Let y = 1 - m. Suppose -x = v - 6 - 5, -37 = -5*x + y*v. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369974 - 42464.73.\nAnswer: -412438.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (2928\/34 - (-348)\/(-2958)). Solve 6 = 76*o - i*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -55, 14, 195, 524, 1037, 1770, 2759?\nAnswer: 4040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 336, 340, 346, 354, 364, 376?\n\"Answer: f**2 + f + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/13 + 14678*v**3\/13 - 813342*v**2\/13 - 14678*v\/13 + 813340\/13 = 0. Calculate v.\nAnswer: -7394, -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 434, 638, 878, 1166, 1514, 1934, 2438?\nAnswer: 3038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340 + 340. Solve -3*t + 0*t + 6 = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*sqrt(17) - sqrt(17) - (3 + sqrt(17))*-1)**2.\nAnswer: -48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 13*n - 3. Suppose 1434 = -2*b - 4*o, -n*b = 8*o - 9*o + 2158. Let u = b + 1305. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -3)*-1 - -38. Suppose 3*r - 4*o = g, 3*o - 24 = -2*r - 2*o. Suppose 0 = -3*q - 321 + 354. What is the lowest common multiple of q and r?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/15))**(-2\/71)*g**(1\/18)\/g**(-49) assuming g is positive.\nAnswer: g**(313441\/6390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38612997 or -38612998?\nAnswer: -38612997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 689, -0.4, -27, 0.39 in descending order.\nAnswer: 689, 0.39, -0.4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1202 - -2335. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3339.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 - 46683.\nAnswer: -46719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531 = 484*a + 1015 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by 50\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11087 is divided by 626.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2 - 6*c**2 + 199*c - 670*c**3 - 538*c**3 - 176*c - 2*c**2 wrt c?\nAnswer: -7248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/12 (b) 1\/3 (c) 0.3 (d) -2 (e) -4 (f) -3 (g) -0.98\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -10*v**2 - 80*v + 985. Calculate t(7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 31*z + 2. Suppose 6*o = 3*o + 18. Let q be y(o). Suppose -186 = -2*v + q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9*q + 3416 = 6*q, -q = 4*x - 2743. What are the prime factors of x?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from feffeefeeefeee?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9914173617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 11. Let s be v(2). What is the common denominator of 117*s\/28 - -3 and 105\/22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22909 - 22908. Solve 4 = -j - g + p, -2*j - 16 = -3*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(396) + sqrt(396) + -2).\nAnswer: -48*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:43 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 + -119 - (-1 + 0 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354 and 869601.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -1, 2\/27.\nAnswer: -1, 2\/27, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 141590, 283187, 424794, 566417, 708062, 849735, 991442?\n\"Answer: x**3 - x**2 + 141593*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 194113.\nAnswer: -4\/194113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.003 and -0.9707.\nAnswer: -0.0029121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 + -3. Let d(m) = -m**3 - 34*m**2 - 34*m - 31. Let p be d(-33). Which is the nearest to -1? (a) 4 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 6) in base 13?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8 + j - 5 - 2*j + 4. Let h be p(8). Suppose t + 3 = -10. What is the second biggest value in t, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3242046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -76*v - 333. Give w(-8).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -199, -404, -615, -832, -1055, -1284, -1519?\n\"Answer: -3*k**2 - 196*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24010 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401 (base 13) to base 2.\nAnswer: -1010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 30420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 209*u**3 + 106*u**3 + 3 + 100*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74134060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 10. Give r(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3\/9 - 452620*v**2\/3 + 12803525952*v + 806688671488\/9 = 0. Calculate v.\nAnswer: -7, 169736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1794*d**3 + 3603*d**2 + 1824*d + 15.\nAnswer: 3*(d + 1)**2*(598*d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 280, 304, 336, 376?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 k, and 1 e when four letters picked without replacement from {k: 3, e: 7, b: 4}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**3 + 3358*g**4 + g + 3*g**3 - 3354*g**4 + 4 in the form t*g + f*g**2 + x*g**3 + n + o*g**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421379111.\nAnswer: 47, 8965513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 304387999 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 291 = 4*z, z = -2*r - 0*r + 89. Is z <= 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((7 + -4)\/(-3))\/(1\/6). Let s = g + 14. What is the remainder when 23 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*a + 168, 2*a = 2*z + 44 + 20. Let o = 32 + z. Put 3, 55, o in increasing order.\nAnswer: o, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -12*j + 24. Suppose j*m + z + z + 184 = 0, -z = -4. Let y = 108 + m. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -13*g**2. Let l(w) be the first derivative of -79*w**2\/2 + 1592. Calculate l(i(h)).\nAnswer: 1027*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -53 - -7) + (2 + -6 - -1) - -4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*h - 369530, 3*h = -9*l + 12*l + 554316. What is h rounded to the nearest one thousand?\nAnswer: 185000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26231\/16 + 1638. Calculate the common denominator of n and 61\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(11\/7))**(-4\/9)\/(z**(-3\/4))**(-17) assuming z is positive.\nAnswer: z**(-3389\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 3. Suppose 4*h = -2 + 26. Let x be z(h). Factor -2*n**3 + 3*n**2 - x*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 5 + q**3 - 4 - 2 to the form h + z*q**2 + a*q**3 + s*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9479381 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and 68418\/13944 - (5 + 0\/(-1)).\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4*u = 3*f + 12, 0 = 5*f - 4*u - 12. Let d be 75\/(-2) - (-3)\/2. Let k be 17\/d + 2\/9. Do f and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 3. Suppose 0 = f - 5 - 1. Suppose -7*u + f*u = 0. What are the prime factors of i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 111 - 11. Solve 4*a = -a + b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*g - 2136 = -37*g - 51*g. Solve g = -h + 184 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 0.079, 3, -1\/4, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6809697 - -27.9.\nAnswer: 6809724.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.46 - 7.54. What is the second smallest value in 6\/7, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 12:28 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2626 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38277338 is divided by 477?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 12:51 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2404591 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 929323247 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 440439 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108588*-0.5.\nAnswer: -54294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + z + 13. Let l be c(0). Let j = l + -28. Let u be (78\/j)\/((-2)\/10). What is u rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**6\/180 - v**5\/120 - 13*v**3\/3 - 7. Let t(h) be the third derivative of b(h). Determine t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -2*j**5\/15 + j**4\/6 + 2*j**3\/9 - j**2\/3 - 223. Solve c(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574801013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27474236 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - y**2 + 3*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 + 30*i**2 + 8. Let v(o) = 4*o**3 + 31*o**2 + 7. Give 5*q(l) - 6*v(l).\nAnswer: l**3 - 36*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + g + 24, 2*b - 8*g - 8 = -6*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 9*o**3 - 5*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3671 - -3412. Sort 5, -5, l in decreasing order.\nAnswer: 5, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43653 > -43649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - 4) - (0 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*o**5\/17 + 1142*o**4 - 781934*o**3\/17 - 178516*o**2\/17 + 85184*o\/17 + 20160\/17 = 0. What is o?\nAnswer: -90, -4\/13, -1\/4, 1\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - v**2 + 61 - 99.\nAnswer: -v**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2107*u - 8424. Let a be s(4). Let q(c) = 5*c + 25. Let y(l) = -2*l - 13. Calculate a*q(f) + 9*y(f).\nAnswer: 2*f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x**2 - 10*x**2 + 2*x**3 + (-x - x - 2*x)*(x**2 + x - x) - 1 + 1 + 3*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = -56. Calculate the least common multiple of h and 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13807 - -13886. Calculate the remainder when 1004 is divided by s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*h + 1, 4*l = -3*h + 5 + 4. Let s(r) = 15*r + l*r + 3*r - 3*r + 0*r. Let y(b) = 4*b. Determine y(s(j)).\nAnswer: 72*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.944ml to litres.\nAnswer: 0.272944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-10))\/(18\/3572). Let a = 99 + v. What is the closest to a in 0.3, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 8358 = 4*i + v, 5*i - 10441 = -4*v. Suppose 5*f + 3428 = 3*r - 2867, -4*f - i = -r. What are the prime factors of r?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -163, -2\/27, 2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = -5*u + 1, 0 = -2*w + u + 5. Let a be -2 - (6 - 2) - w. Let d = a + 4. Is -4 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*f + 3*f. Let q(d) = 3*d**2 + 14*d - 3. Let c(v) = -40*v**3 - 2*v - 1. Calculate the remainder when c(-1) is divided by q(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31397079 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284658 is divided by 94833.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 - 92*c + 1993 wrt c?\nAnswer: -8*c**3 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3\/3 - 9*o. What is j(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16*q + 48. Let r be f(-7). Let y be ((-1)\/(-1))\/(-4*8\/r). Which is smaller: -19 or y?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035326883 to the power of 1\/2, to the nearest integer?\nAnswer: 32176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llklkklllllkll. Give prob of sequence kllk.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*i + 142, -10*a - i - 48 = -11*a. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**2 + 3*g + 1. What is the smallest common multiple of u(-1) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3395*s - 478892 - 127*s + 478892 as i*s + a and give i.\nAnswer: -3522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -98*j**2 + 274*j**2 - 175*j**2. Let c(i) = -19*i - 2. Let w(g) = 1976*g + 209. Let s(k) = 209*c(k) + 2*w(k). Determine s(v(d)).\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/14*(-27672)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11065097 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/328485 and -76\/21.\nAnswer: 2299395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25856.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 0 - 4 + y**3 - y**3 + 6*y**2 - 2*y - y**3. Give t(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-144)\/99 - (2 - (14 - 30))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-70 + (-2)\/2). Suppose 6*x - f - 28 = 0. What is the lowest common multiple of 18 and 1*-1 - (x + -20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62, 62, 86, 152, 278, 482?\n\"Answer: 3*g**3 - 6*g**2 - 3*g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - h = -8, -3*h = -2*h - 4. Let k(l) = 5*l + z*l - 5*l + 2. Determine k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**2 + 9*t**2 - 8*t**2. Let w(x) = -192687*x + 192687*x - 2*x**2. Give a(w(h)).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 92*f**2 - 625*f + 46. What is z(7)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o**3 - 3*o**2 + o + 9. Let x(z) = 20*z**3 + 9*z**2 - 4*z - 26. Let c(d) = 6*x(d) + 17*y(d). Let f be c(-4). Solve 3*s = 3 + f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*z - z. Let d(k) = -8*k**2 - 7*k - 4. Let a(t) = 9*t**2 + 8*t + 5. Suppose 3*o - 4*q - 6 = -20, -4*o - q = 25. Give o*a(y) + z*d(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281 + 45515\/162. Find the common denominator of w and -79\/6.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17907.39 minutes in days?\nAnswer: 12.4356875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2)*-263*1. Let p = k + 1063\/4. What is the common denominator of p and 2431\/78 - (-3)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*h)*((2 + 1 - 1)*(-1 + 1 - h) + 3*h - 2*h + 0*h + 2*h + 0 + 0)*(-5 - 2 + 0).\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 262*a + 1412. Give g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2, -3, -0.08, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230 take away 74432?\nAnswer: -72202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/(99\/114) + 4 and -22\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccaccaauucccucca. What is prob of picking 2 a and 1 c?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/(1\/3). Let n be -3*1\/(2\/(-10)). Suppose -5*t + 10 = -t - 2*m, -2*t + 3*m + n = 0. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28541627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4777 (base 12) in base 14?\nAnswer: -2cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 - 3*a - 3. Let x(c) = -4*c - 5. Let w(t) = t + 2. Let f(j) = 7*w(j) + 2*x(j). Let z be f(6). Calculate s(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:54 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:30 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -219 or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y**2 - 418*y - 68. What is r(-32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m*v**2 + 10150*m*v + 139*m + 6847125*v**2 wrt v?\nAnswer: 8*m + 13694250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + v. Let m be b(-1). Suppose -f - m = -1. Find the common denominator of 109\/6 and f + ((-94)\/16 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k + 14*k + 28*k - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/2)\/((-12)\/(-64))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/226385 and 59\/271662?\nAnswer: 1358310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2. Let s(z) be the second derivative of -z**3\/3 - 7*z. Give c(s(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**5\/20 - 5*f**4\/6 + f**2 + f + 2. Let j(r) be the first derivative of w(r). Let p be j(10). Solve -k = -2 - p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -47. What is the greatest common divisor of 312 and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 11. Let a be d(14). Suppose 7*n = a*n - 60. What is the greatest common divisor of n and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -110 + 5008?\nAnswer: 4de8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + sqrt(11) - ((-1 + sqrt(66)\/sqrt(6))**2 - sqrt(11)).\nAnswer: -13 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 3?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 724025845*q**4 + 4*q**2 + 105894650*q.\nAnswer: 17376620280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + t - 14 = -0*s, 5*s - 20 = 5*t. Let b(k) = 2*k**2 - 6*k. Let q(z) = z**2. Let p(m) = s*q(m) - b(m). Find the second derivative of p(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 43302?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*((sqrt(14)*2)\/sqrt(2))**2.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, d: 4, m: 2}. What is prob of picking 1 m and 2 r?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/240 + 7*b**4\/6 - 18*b**2. Let v(w) be the second derivative of j(w). Let t(i) = -5*i. What is v(t(h))?\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 1\/3, -9, 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 992943169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000853386 rounded to 7 dps?\nAnswer: 0.0008534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 13041?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 441322 less than or equal to 441381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34422 - -240956\/7. Which is the biggest value? (a) 0.3 (b) -3 (c) -36 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y = 52*y - 168. Let r be 18171860\/y - (1 - 6). What is r rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*x + 4845. Let s = -466 + x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2801515, 2801529, 2801543?\nAnswer: 2801557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q + 4. Let a(t) = -3*t + 1. Let g(v) = 6*v - 1. Let s(i) = -5*a(i) - 3*g(i). Determine -4*l(x) - 9*s(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h + 5. Let y(j) = 1 + 10*j + 14*j + 14*j - 39*j. Let t(w) = i(w) - 6*y(w). Determine t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 199\/2. What is the fourth smallest value in 1, 2\/9, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**8\/10080 - x**5\/30 - 11*x**2. Let w(v) be the third derivative of j(v). Let i(a) = 4*a. Give w(i(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)*v**(-1\/4)*v)\/(v**(-5)\/v)**(37\/3))**(2\/55) assuming v is positive.\nAnswer: v**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/240*1\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3 = 0, 0 = -7*y + 6*y - r - 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 + 6*z. Let y(x) be the second derivative of x**4\/4 + x**3\/2 - x. Let b(l) = -4*p(l) + 9*y(l). Let u be b(-2). Solve -3*m - 15 = -u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) - (729053\/(-65) - 7). Let h = d - -7948. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (76*i + 18*i + 94*i)*(8 + 4 - 13)*(1 - 1 + 2)*(3*i**2 - 2*i**2 - 2*i**2) in the form o*i**3 + u*i**2 + w + m*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 10*d**2 + d + 15. Calculate y(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 1129 + 781. Suppose -m = 4*s - 6*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -1\/4 (c) 82 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 4*w**2 + 6*w**2)*(w - 4*w + w)*(-2*w**2 - 5*w**2 + 3*w**2).\nAnswer: 24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*p**3 + 4 + 2*p**2 - 3 to the form n*p**2 + a*p + c*p**3 + h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41463797*v**3 - 51342378 wrt v.\nAnswer: -124391391*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + (sqrt(1872) - (sqrt(1872) - ((sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (0 + sqrt(1872))))) + sqrt(1872)))) - sqrt(1872))*-2*3)**2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27520597.81 rounded to the nearest ten thousand?\nAnswer: -27520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 14) to base 3.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 74 - 26 - 7*d - 47. Give i(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 17*a + 191. Let w be r(7). Is 56407\/w*(-16 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 204481200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*s - s = -6, 4*p - 5 = -292*s + 291*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 3*o + 1 = 0, 0 = -2*a + 5*o - 7. Solve 3 - 15 = -a*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 1, c: 2, i: 4, g: 1}. What is prob of sequence ro?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 6*i**2 + 6*i - 3. Let p be l(-7). Put 3, -3, p, -7 in increasing order.\nAnswer: -7, -3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 - h**2 + 4*h + 1. Let z be (12\/(-10))\/((-4)\/(-10)). Is 20 a factor of u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a766 (base 11) to base 9.\nAnswer: 87683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 5*s + 2. Let u(j) = -j + 1. Let n(t) = -3*u(t) - 3*w(t). Determine p so that n(p) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171863 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, p: 1, z: 1, w: 2, a: 1}. Give prob of sequence zp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/10382 and 103\/120.\nAnswer: 622920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.183 and -959.\nAnswer: 175.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 461\/26 + -25591\/1326. Let r = -3045\/3247 - -43\/573. Let h = r - y. Which is smaller: -2\/5 or h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = v, 2872*c - 2868*c + 83 - 48 = 5*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 - -4.81. Let f = -24.2 - -24.5. Which is the second biggest value? (a) p (b) f (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-3)\/18*-3. Suppose 14 = l*t - 10. Calculate the greatest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - (30\/(-6) + 2 - (-379000)\/(-8)).\nAnswer: 11, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9 = u, 3*u - 7*u = 3*g - 3. Solve -2*m = x + 8, -2*m - 2*x - u*x - 16 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1568)\/77 - ((-308)\/11 - -8)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6314)\/88 + 4144\/74.\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -95. Let u(w) = -6*w**2 - 86*w - 99. Let s(z) = z**2 + 17*z + 20. Let g(x) = f*u(x) - 11*s(x). Let i be g(15). Is i != -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(162) + -2) - (sqrt(162)*-2 + 2)) + ((sqrt(162) - (sqrt(162) - (sqrt(162) + 2))) + 0 - (sqrt(162) + -2*sqrt(162)*3)))**2.\nAnswer: -1188*sqrt(2) + 19638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0*u + 4*u**2 + 0*u**4 + 8 + 0*u**3 + 1\/60*u**5. Let o(y) = -y + 69. Give o(a(r)).\nAnswer: -r**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 9*t + 14. Let u be 4\/6*(-1 - 14). Let m be c(u). Suppose -1 = -j, m*w + 0*j = -2*j + 114. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**2 + 4 + 3*g - 3*g - 7*g + g**3 - 12. Determine r(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 5*m**2 + 2*m**4)*(3 - 4 + 3)*(94 + 146 + 751).\nAnswer: 3964*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 - 22*s + 39. Let z be t(3). Which is the third smallest value? (a) z (b) 1\/6 (c) -0.09 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24125\/3918 - 6\/653. What is the common denominator of s and -14\/25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 + 63*n + 264. Give k(21).\nAnswer: -1500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101226645 and 195?\nAnswer: 101226645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b - 5*x + 29, -58 = -2*b + 5*x. Let w = -8500 - -8501. What is the highest common factor of w and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3186*p**2 - 137*p - 3. Let t(r) = 3178*r**2 - 137*r - 3. Let h(x) = 6*q(x) - 7*t(x). Find the second derivative of h(d) wrt d.\nAnswer: -6260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {p: 3, s: 5, g: 3, t: 1, i: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p - 54*p = j - 80, -2*p + 24 = -j for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 2 - 3 + a**3)*(-16 + 20*a + 16).\nAnswer: -60*a**4 - 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 4*y + y. Let b = y - 12. Let a = b + -19. Is 2\/167 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*z**3 + m**3 + 4*m*z**4 + 5*m*z wrt z.\nAnswer: -6*m**3*z + 48*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136 + 72601?\nAnswer: 72737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.012 and 8932214.\nAnswer: -107186.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:30 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-3*q + 4*q + 4*q)*(2*q**2 + 0*q + 0*q).\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9611.\nAnswer: 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.4 + -41. Put -1, -2\/5, r, 2\/13 in ascending order.\nAnswer: -1, -2\/5, 2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h + 21*h + 19*h - 64*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.317 in -0.9, -0.5, -10, 187?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139.86 + -140. Put 0, 4, r, 2 in decreasing order.\nAnswer: 4, 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xochochchooo. Give prob of picking 1 x and 1 o.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/9 - 46474*y**2\/3 + 836446*y\/9 + 108430 = 0.\nAnswer: -1, 7, 69705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 + 314*w. Let x(j) = 3*j**2. Determine g(x(z)).\nAnswer: -45*z**4 + 942*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*m**2 + 40 - 5*m + 70*m**3 - 5*m + 11*m - 41 in the form i*m + h*m**2 + q + a*m**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Suppose -q*b = -3*f + 2*b + 28, -4*f = -3*b - 28. Solve 0*g - 16 = f*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 1 = 6010*u - 6014*u, -72*u - 5*w = -67 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*l = 34, 3*d + d = -l + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(0 + -4) + 27. Suppose -3*t = -q + 2. Let f = 19 - t. Solve -4*n - f = 4*s, 4*s - 2*s = 3*n + 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*w - 1 - w**3 - 138*w - 182*w.\nAnswer: -w**3 - 233*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l. Suppose -2*d + 1 = -5*h, 2*d + 5 = 1. Calculate x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60313, 116606, 172899, 229192?\nAnswer: 285485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 411 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.72309m in kilometers?\nAnswer: 0.00272309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:24 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/15*(-27)\/18. Let b be 0 + 78\/p - (-146)\/511. Factor 16\/7*a**3 + 4\/7*a**4 - 72\/7*a**2 - 4 + b*a.\nAnswer: 4*(a - 1)**3*(a + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73412 - 39.\nAnswer: 73373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4))**(-7\/2) assuming h is positive.\nAnswer: h**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 22 = 3*a, 7*a - 2*a = 3*j + 5. Suppose -2*i - 886 = -j*h, -4 = -i - 2. Suppose -h = -4*o - 5*k + 203, k - 94 = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 2*i**2 - 2*i - 1. Let w = -4 - -6. Suppose 2*x - 2*j = 20, 5*x + 7*j - w*j - 30 = 0. Calculate the smallest common multiple of y(-2) and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1.9, 4\/7, 4\/3, -2 in ascending order.\nAnswer: -2, -1.9, 4\/7, 3\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(153)*1*6 - (sqrt(153) + 1 + 0 + -2))**2.\nAnswer: 102*sqrt(17) + 44218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(19\/6)*(b**3)**(-3\/17) assuming b is positive.\nAnswer: b**(-341\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3 + 804311*d - 16734077 wrt d?\nAnswer: 6*d**2 + 804311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-2898)\/23)\/(-126))\/(-68)\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3291)\/945 + 4 + 5\/(70\/(-6))?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - -0.38. Let m = 3140.2 - 3140. What is the closest to 0.14 in a, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55888 and 1176?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253614*a**2 + 25987*a**2 + 124426*a**2 + 135102*a**2 + 202980*a**2.\nAnswer: 742109*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64938 by -21646.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.64099 - 0.658. What is z rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014187 rounded to five decimal places?\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*f**3 + 0*f**3 - 9*f**3)*(-4*f + 3*f + 3857 - 3801) as y*f**4 + b*f**3 + n*f + s*f**2 + c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 846129*o**2. Let g(l) = -l + 187. Calculate g(z(x)).\nAnswer: -846129*x**2 + 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d - 1. Let w be (-1 - d) + 2\/(-4). Which is the smallest value? (a) 1 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71181, -71130, -71057, -70950, -70797, -70586, -70305?\nAnswer: -69942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/6*(48\/56)\/((-126)\/196)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 60*t - 129*t**3 - 3 + 260*t**3 - 127*t**3 + 23*t**2.\nAnswer: 4*t**3 + 23*t**2 - 60*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 61*l**2 - 300*l - 190. What is the thousands digit of n(-31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) -7.7 (c) 4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 606081 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -96. Let a = l + -47. Let w = 129 + -34. Calculate the highest common divisor of w and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:31 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**11*v\/((v**(2\/7)\/v)\/v))**(-2\/7) assuming v is positive.\nAnswer: v**(-206\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)\/y*y\/(y*(y\/y**(-1\/11))\/y)*y*y*(y**1\/y)**(-37))\/((y\/(y*y**(2\/5)))\/(y\/(y**0*y))*y**5*((y*y\/y**(1\/7)*y)\/y)\/y) assuming y is positive.\nAnswer: y**(-981\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 7306983736241.\nAnswer: 7306983736240.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172820 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/(12\/18 - (-451)\/66)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5839?\nAnswer: 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2 + 24*r**2 + 2 + 17*r**2 + 4*r + 1 - 38*r**2. What is d(-4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 384 + 4698 = 0. Solve -16*w = 6*w + h for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3\/3 + 2276*v**2\/3 + 318812*v\/3 + 316540\/3 = 0. Calculate v.\nAnswer: -323, -245, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7122?\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 165. Let d = -61.00000086 - y. What is d rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 6 + 6)*((1 + 2 - 1)*(-1 - 1 + 0) + 4 + 124 - 24).\nAnswer: 600*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - x + 5 = 21, 2 = -2*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 636.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14411 + 5227. Let k = -5979 - j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130028929?\nAnswer: 307, 423547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -10, 0.1, 0.5, 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6316276.20593 + -6316208. Let n = -0.73307 - f. Let o = 69 + n. Round o to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 75216.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1004*i + 10044. Let c be f(-10). Factor 0 - 2\/3*p**c + 0*p + 10\/3*p**2 - 8\/3*p**3.\nAnswer: -2*p**2*(p - 1)*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5218484 by -1304621.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.6 - 0.4. Let j = x + -4.1. What is the nearest to -1\/4 in 1\/3, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13411?\nAnswer: 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1779 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -80 - -72 - (0 - 6) - -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(-1*sqrt(363) + sqrt(3)))**2*2.\nAnswer: 9600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -351*w + 1080. Let p be k(3). What is the highest common divisor of 441 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38416 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4586081 + -41?\nAnswer: 4586040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 + -2 - (9 - 13871\/923).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 3*y**2 + 2*y - 2. Suppose 3*h + 27 = 5*u, 4*h + 3 = -3*u + h. Calculate the remainder when m(u) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -16. Let i = 11 - u. Is 4\/i + 77\/21 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m**2 - 25*m + 47. Calculate l(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95774, -193149, -290524?\n\"Answer: -97375*i + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((7 - 4) + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335711 is divided by 443.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13453684.\nAnswer: 2, 3363421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 3*b, t + 4*b - 2 = 5*b. What is the first derivative of -j**2 + 12 + 2 - 8*j**t + j**2 wrt j?\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16646 and 2870.\nAnswer: 83230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79896 less than 79894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7959448761.\nAnswer: 3, 11, 1931, 124907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 4*o. Suppose 14*a - 11*a = -12. Let h(b) = 3*b**2 + 3*b. Determine a*h(q) - 3*f(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088451 rounded to 3 decimal places?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -6. Suppose -5*q + 9 = -2*q, 0 = d + 4*q - s. Solve 0 = n - d - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-11376))\/((-3)\/(-88020004)). Let s = 46424 + q. What is the common denominator of 1\/22 and s?\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Suppose -a = -5*d - 0*a - 95, -4*d + 3*a - 87 = 0. Let v be 12\/d*-3*2. Let p(m) = -6*m - m - v*m - 4*m. Give p(n(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -20*h + 98. Give k(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10974 + 458 = 5*n + 4*t, -2*n + 4571 = t. Suppose 7*u + 576 = n. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**3 - 25*g**2 - 154*g - 8. Let q be c(-7). Which is smaller: q or 1225?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6282 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 28*h**2 + 7*h + 55. What is the tens digit of u(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61806 divided by 5.\nAnswer: -61806\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 6*n**2 - 8. Let m(t) = 2186*t**2 - 1095*t**2 - t**3 + 3 - 1093*t**2. Calculate 3*l(f) + 8*m(f).\nAnswer: -2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 12:41 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36329 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4478 + -2666. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1103857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -199124751 > -199124754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(12\/(-42)*-35)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/(-30)*15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l**3 + 0*l - 1\/4*l**4 + 2*l**2 + 0. Let g be s(-2). Solve -2*q + g = y, -8*y + 10 = -3*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3991644 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14579, 14577, 14575, 14573, 14571?\n\"Answer: -2*v + 14581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4897420 divided by -1224355\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1287*f. Let u(s) = 5*s. Calculate u(y(o)).\nAnswer: 6435*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*v**3 + 9*v + 9*v + 27*v - 25*v + 8*v.\nAnswer: 71*v**3 + 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from tfttttjttttttj.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 3867556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/11 + 2152*k**3\/11 - 771132*k**2\/11 + 91763272*k\/11 + 92536558\/11 = 0. What is k?\nAnswer: -1, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-5)*(-25025)\/1365.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21\/228791 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:01 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 20. Suppose -7*v + v + i = 0. What is the tens digit of (-45)\/(-2) - 1\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) -1763 (b) 56 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - g - 183 = 253, 436 = 2*o - 4*g. Let n(y) = o*y - 111*y - 8 - 110*y. Give n(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**3 - g**2 - 2*g - 3. Let o be l(3). Suppose 5*b = 3*w - 5*w + 97, 4*b + 3*w - 79 = 0. What is the greatest common divisor of o and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/10*1045\/(-38). Find the first derivative of d*s - 4 - 26*s + 1 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 164*s**3 - 2340*s**2 - 12844*s - 17576.\nAnswer: -4*(s + 2)*(s + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -27. Let g = -16836\/707 + 2434\/101. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - 33\/(-9). Suppose 15 + y = 2*d + 3*m, 4*d - 4*m = -12. Let c(z) = -1 + d*z + 1. Let s(a) = -2*a**2. Give c(s(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 152*p**2*t**2 + 22722*p**2 - 8789*t**2 + 294*t - 2 with respect to p.\nAnswer: 304*p*t**2 + 45444*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9\/5)*m*m**2*m)\/(m**(-13\/5))**(-1\/10) assuming m is positive.\nAnswer: m**(97\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:29 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + s**2 + s**2 + 26 + 12.\nAnswer: 2*s**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - 0.054. Round i to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051014 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513048740 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let u(l) = -3*l - 41. Determine u(i(t)).\nAnswer: -3*t - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p - 1. Let o be u(-4). Let m be 156\/44 + -3 + 6675\/165. Let s = m - o. Which is smaller: 17 or s?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5.3. Let p = 293 + -292.9. Which is the nearest to 0.1? (a) g (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*u + 1710 + 10343 = 809*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1111722 + -5.\nAnswer: 1111717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/32971930 and -139\/12.\nAnswer: 197831580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6645\/(-10)*((-4)\/(-4) + 7). What is the units digit of 3*g\/(-54) + 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 23 (b) 10\/9 (c) -23 (d) -4 (e) 0.6 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 1. Let c = 59 + -61. Let j(o) = -o. Let i be 1 + -2 + 0 - 0. Calculate c*j(p) + i*m(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - p**2 - 2*p + 15. Let x be o(-5). Let g = x - 126. Let h be (g\/9)\/(19\/(-114)). Which is the closest to 0? (a) h (b) 0 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01077 in 3\/125, -2, -1\/6?\nAnswer: 3\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -464.973476250902 - 0.026521333098. Let i = 465 + z. What is i rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - 3870?\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354593 (base 10) in base 2?\nAnswer: 1000111110110110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100, -117, -134?\n\"Answer: -17*g - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3005, -6479, -12259, -20339, -30713?\n\"Answer: m**3 - 1159*m**2 - 4*m - 1843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0744 rounded to 3 decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*w - 11 = 0, 3*g + 5*w + 0*w = 13. Calculate the remainder when 389 is divided by -13 + 68 + g + 0.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158211 and 12.\nAnswer: 632844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 7)*(-2*j**3 + j**3 - 4*j**3)*(1 - 3 + 0).\nAnswer: 110*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 1 = -3*b. Suppose 5 = -2*j + b. Let h = -263 - -262. Put 0.3, j, h in decreasing order.\nAnswer: j, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(144)*3 + sqrt(9))\/(sqrt(24)\/(sqrt(8)*-5 + sqrt(8))).\nAnswer: -52*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1497 + 965. What is m rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 4 + 1, -3*n + 14 = -v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20711*a + 20712*a - 3469*a**2 + 8575*a**2 - 41423*a to the form g*a + n*a**2 + x and give n.\nAnswer: 5106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**10\/211680 + v**9\/52920 + v**8\/47040 - 5*v**4\/6 - 5*v**2. Let u(x) be the second derivative of o(x). Factor u(g).\nAnswer: g**3*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552752757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 3*m**2 + 4. Let a be n(3). Suppose 0 = -6*j + a*j + 20. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by 217?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -448, -743, -3 in increasing order.\nAnswer: -743, -448, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 19999, -89 in ascending order.\nAnswer: -89, -9, 19999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2681*c - 16084. Let k be p(6). Let f(w) = w**3 + w - 1. Let x be f(2). Solve k*j - 3*h - 7 = 0, 5*h + x = -j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2726 - -5455\/2. Are t and 6.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146542766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -491*h. Let a(f) = 2*f. Give n(a(w)).\nAnswer: -982*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7306, 29222, 65766, 116944, 182762, 263226?\n\"Answer: g**3 + 7308*g**2 - 15*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 251, 994, 2233, 3968, 6199, 8926, 12149?\n\"Answer: 248*b**2 - b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1944\/25 (c) -4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 2*q - 2*q**2 + 2*q in the form s + b*q + f*q**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -29*n - 403. Let c be q(-14). Sort 1, -2, -12, c in increasing order.\nAnswer: -12, -2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.82+-3.9\nAnswer: -12.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 243*o**4 + 416286*o**3 + 178932423*o**2 + 553660380*o + 429842700 = 0.\nAnswer: -855, -14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*v + 53*v + 40*v + 68*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-33))\/((-8)\/(-20)*(-2 - 3)). Sort 5, -4, 112, 2, q.\nAnswer: -4, q, 2, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078573774 < 2078573774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - x - 3588, 2*x + 17937 = 5*c - 0*x. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) + (-17)\/2. Let r be g\/(-10)*15\/3. Factor -u**r - 4*u**3 - u**2 - u**4 + u**3.\nAnswer: -u**2*(u + 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324537 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 8:23 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1313 - -1313. Let m = 98 - 95. Suppose -j - 2*z + 6*z - 8 = 0, -23 = -5*j - z. Put o, j, m in increasing order.\nAnswer: o, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -51?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*h + 16, 25 - 3 = -q - 5*h. Let i be (20\/15)\/((-14)\/(-6)). Let o = 231 + -235. Which is the third smallest value? (a) q (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2 and 43\/175?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 41 + 174 + (3 - 4 + 3)*(0 + 0 - 1))*(-11*h + 10*h**2 + 11*h).\nAnswer: 2380*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -750\/17 - -44. What is the nearest to -2 in z, 1\/8, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1539) + (sqrt(1539) + -1 + sqrt(1539))**2 - ((1*sqrt(95))\/sqrt(5))**2).\nAnswer: -30690 + 135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 62625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 12*k - 7*k**2 + 3*k - 16*k - 2 + 0 + 6*k. What is u(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 27*i**2 + 2*i - 11. Let l(q) = 18*q**2 + 5*q - 10. Let v(b) = -17*b**2 - 4*b + 9. Let o(m) = 3*l(m) + 4*v(m). Determine 11*o(s) + 6*z(s).\nAnswer: 8*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 9*w + 6. Let x be d(10). What is the units digit of ((-6)\/(-10))\/(x\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*r + 6, 3*r + 15 + 12 = 5*k. Let o(c) = -c + 3. Let d be o(k). Suppose d = -3*t + 5*w + 10, t = -2*t - 3*w + 42. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -547\/3 - -182. Which is the nearest to m? (a) 2\/7 (b) -4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j - 1. Let o(b) be the first derivative of -19*b**4\/4 - 2*b**3 - 3*b**2 - 6*b + 621. Calculate 6*a(s) - o(s).\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l - 267. Let a be d(-16). Let v = 123 - a. Which is smaller: -9 or v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-31)\/(((q*q\/q**(-1\/2))\/q)\/(q*q*q**(-8))))**(2\/35) assuming q is positive.\nAnswer: q**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 5 = 0. Does 10 divide ((-19)\/w*2)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86095.\nAnswer: 5, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 0.1. Let n = l + -0.6. Which is the nearest to -1\/4? (a) -0.5 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85*q**2 - 18*q**2 + 120*q**2)*(-7*q**2 + 2 + 7*q**2 - 7*q**2 + 2*q) to p*q + s*q**3 + f*q**4 + n + h*q**2 and give s.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 238d0 (base 15) to base 10\nAnswer: 113370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20315672 to the nearest integer?\nAnswer: 4507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -5*y**4\/8 + y**3\/6 + 7*y**2\/2 + 12. Let j(d) be the second derivative of v(d). Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 4*z + 105. Suppose 0 = 6*p - p - z. Which is the closest to 0.1? (a) 0.5 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 198 - 749. Let q = j - -550. Is 19 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let a(m) = -2*m - 8. Suppose 3*c = -20 + 26. Calculate c*a(g) - 6*o(g).\nAnswer: 2*g - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 times 0.5?\nAnswer: 64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 1\/4 - (-21147)\/212.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99200*i*q - 8297*i - 4 wrt q?\nAnswer: -99200*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 134*n**3 - n**2 - 18*n + 4. Is 22 a factor of q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 38\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (124\/((-1488)\/18))\/(((-141)\/4)\/1). Let l(a) be the third derivative of a**5\/60 + a**4\/24 - a**3\/6 - a**2. Let f be l(0). Is y less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8281 - 26205 = 0. Let y = t - -44761\/10. Calculate the common denominator of 151\/6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 42*b - 22. Determine w(3).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p**3\/13 - 7154*p**2\/13 - 7714*p\/13 + 2376\/13 = 0 for p.\nAnswer: -297, -4\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1506 and 44667960.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 111806962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/10)\/(6\/4). Let v = 663.74 - 656. Let i = -7.7 + v. Which is the nearest to -2\/7? (a) i (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2920 and 400.\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 24*z - 205. Suppose 13*j = 21*j - z. Solve 7 = 2*n + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 2. Let p(u) = -4*u - 1. Let c(k) = -d(k) + 2*p(k). Let q(y) = -10*y - 3. What is q(c(i))?\nAnswer: 30*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 7 - 4)*(776*j - 162*j - 50*j + 274*j + 335*j) as s*j + p and give s.\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*v + 37*v - 16*v - 28*v as u + d*v and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-165)\/(-36)))\/(4\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07034 and 0.2.\nAnswer: -0.014068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-401*n + 71*n + 131 - 131)*(3 - 7 + 3 + (-4 + 3 + 0)*(-1 + 2 + 1)) + 1 + n - 1 + (2 + 4 - 5)*(0*n - 3*n + n).\nAnswer: 989*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 609*x\/5 - 3366.\nAnswer: -3*(x + 33)*(x + 170)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 139585*t + 2232080.\nAnswer: 5*(t - 27901)*(t - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43359 is divided by 104.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2*u + 2*s**2 - 42*s*u**2 + 4*s - 1765*u**2 wrt s.\nAnswer: -4*s*u + 4*s - 42*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 51. Suppose x + k = 3. Let j be 6*(-2)\/(-3) + x\/(-2). Let a(i) = -3*i - 2. Determine a(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1)*7\/(-21)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.6 - 7. Let k = 618\/7 - 88. Which is the nearest to 0.1? (a) j (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*m**4 + 122*m**4 - 16*m**3 + 2 - 60*m**4 + 2*m**2 to v*m**3 + h + p*m**2 + w*m**4 + c*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59\/14 - -26\/7. Let g be (3\/14)\/((-21)\/(-28)). Let l = -0.2 - -1.2. What is the closest to m in l, g, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + f + f)*(10 - 22 - 13)*(3 + 1 - 1)*(-14 + 2*f - 4*f + 16) to the form n + s*f + k*f**2 and give k.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**4\/4 + 4*g**3\/3 + 3*g**2 + 3. Let d be ((-2)\/8)\/((-10)\/200). Determine q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f + 20 = 0. Let d be (-2 + 3)\/(2\/6). Put f, d, 1 in increasing order.\nAnswer: f, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222116 is divided by 414.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18063 at least as big as 2408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 25571413.\nAnswer: -1\/25571413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (92\/16)\/((-3)\/9) and -77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1585*a - 1530*a - 385 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 105 in -2\/19, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -73*y**7\/42 + y**5\/10 - 2*y**4\/3 - 2*y**3\/3 - 238*y. What is the third derivative of g(o) wrt o?\nAnswer: -4380*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1189 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(9\/5))\/(m\/(m*m\/(m*m*m*m**8)*m)))\/((m**(-5)\/m)\/m**8) assuming m is positive.\nAnswer: m**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/9 - 212*j\/9 + 1010\/9 = 0?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**4 - 5*p**3 - 6*p**2 + 5*p - 11. Let j(a) = -a**4 - a**3 - a**2 + a - 2. Let b(z) = 4*d(z) - 22*j(z). Solve b(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 44*p**2 - 11 + 0 - 5 wrt p.\nAnswer: -88*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 29*w + 24*w = 1294, 0 = -3*m + w + 1941. Round m to the nearest 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57, 250, 769, 1776, 3433, 5902?\n\"Answer: 27*a**3 + a**2 + a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*p**3 + 17*p**3 - 7*p**3 - 10 + (4 - 4 - p)*(543054*p - 543054*p - 850*p**2).\nAnswer: 851*p**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 2. Let b be (14\/(-7))\/(c\/14). Suppose -12 = -4*y - 5*i, -y = -5*i - b + 4. Solve -3*m = -0*m - s + 20, 2*s = -y*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t + 2*s, t + s + 0*s = 4. Calculate the smallest common multiple of 9\/9*(22 + 2) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -204\/7 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -403 - -478. Calculate the remainder when 2472 is divided by l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 1374, 2142, 2996, 3948, 5010?\nAnswer: 6194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41168, -82364, -123570, -164792, -206036, -247308, -288614, -329960?\n\"Answer: -w**3 + w**2 - 41192*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 27. Let v = -11 - -1. Let n = v + u. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -7*l + 125 - 104 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.2, 4, 3, -0.045?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + 45 = 0. Let m = g - 17. Which is greater: m or -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 + 187*v + 73492. What is the tens digit of t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1470847 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(1008) + -1) - 4*(sqrt(1008) + sqrt(1008) + (sqrt(1008) - -2*(sqrt(1008) + 1 + sqrt(1008) + sqrt(1008))) + sqrt(1008) + sqrt(1008)))**2.\nAnswer: 12168*sqrt(7) + 1533337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poyoyyiiooiyioy. What is prob of picking 1 p and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156 - -328. Let f(d) = d - 1. Let n be f(4). Suppose -a = n*a - m. Calculate the remainder when a is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 134 - 5?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a - 56 = 0. Suppose 0 = 2*h - 4*h + a. Let d = h - 7. Calculate the remainder when 25 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7942 and 7040?\nAnswer: 2541440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/g*g**3*(g\/g**(2\/3))**44)\/(((g*g*g*g*g*(g*g\/g**(-1\/8))\/g*g)\/(g\/(g\/(g\/(g*g**3)))))\/(g\/g**(2\/7))**(-2\/17)) assuming g is positive.\nAnswer: g**(9875\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 34. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -437 + 1316\/3. Let w = 6 + -3. What is the closest to 3\/2 in 0.3, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i - 145 = 0. Let q be (-5 - (-48)\/12)\/((-1)\/(-31)). Let y = i - q. Solve 0 + 2 = -y*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 - 2*c + c + 899.\nAnswer: -c + 725","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 3 (c) -2 (d) 587717\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 15624*f - 15609*f. Let i(a) be the first derivative of -6*a**2 + 2\/3*a**f + 0*a + 1\/2*a**4 + 18. Factor i(y).\nAnswer: 2*y*(y - 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -125. Suppose -3 = 3*p - 12. Suppose 0 = j + p - 4. Solve -m - a - j = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251627925 to the power of 1\/3, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -51976660 divided by 12994165?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146395 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-6) + 1 - 2107164\/(-6323895). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25425359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -25. Let q = 18 + -18. Suppose q + g = 3*x. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050343093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -528 and 0.5132?\nAnswer: 528.5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 9.8 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*i - 192, 5*y + 296 - 1280 = -3*i. Is 66 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 23 + 0 - (-28 + 25).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459424 is divided by 1677?\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 607*r**3 + 7*r**2 - 3*r - 5. Calculate the lowest common multiple of o(1) and 6.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/300)\/(11\/(-198)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773\/45 + (-4)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:55 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -1\/336*r**8 - 1\/12*r**6 + 1\/6*r**3 - 1 + 1\/6*r**5 + 1\/42*r**7 - 5\/24*r**4 + 6*r**2 + 0*r. Factor v(w).\nAnswer: -(w - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 l when three letters picked without replacement from lvlvvdlllvdvll.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(sqrt(85) + sqrt(85)*-1)*5)\/((sqrt(250)\/sqrt(80))\/sqrt(10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203633226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7080*a**2*j**4 + 140*a**2*j**2 - 32*a**2 - a*j**4 + 2 wrt j?\nAnswer: 169920*a**2*j - 24*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-22)*(-88 + 39 + 50)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 15*s + 6. Suppose -8 = 2*q + 8. Let m be g(q). Calculate the common denominator of -101\/2 and 297\/10 + 10\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001667439558 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1913 is divided by 623?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -133551909 divided by 3?\nAnswer: -44517303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/30 + -11\/210. Sort 1, t, 4.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 7*n + 6. Let a be t(-7). Let q be -30 + 29 + 1\/(1 - 0). Let d(m) = q*m - a - m - 2. Calculate d(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*q + 5300 + 3702 = -1823 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1380 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/15 - (-219)\/(-15). List the prime factors of 5*(r\/10 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75180 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/14 - (3 + 198\/21). Calculate the common denominator of n\/8*18\/48 and -81\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -29, -47, -67, -89, -113, -139?\n\"Answer: -k**2 - 13*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmqwd. Give prob of sequence mq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.14 and 0.1.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 5935*f.\nAnswer: -5935*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 4*v - 4*v**4 - 3*v + 0*v + 2 in the form m + q*v**3 + j*v**4 + n*v + f*v**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8 = -2*t + 10, 0 = -5*k - 4*t + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.25706 to one decimal place.\nAnswer: -24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355\/4 bigger than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.6 - 21.9. Let n = 1 - 4. Sort 15\/8, n, w in descending order.\nAnswer: 15\/8, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = -16. Suppose -11*d = -16*d + 120. Let l be -10*d\/12*2\/(-10). Solve 2*r - r + l*x = 8, -3 = -y*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, o: 18}. Give prob of picking 2 o and 1 h.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/7)\/((-269)\/(-1883))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6877*f**5*w - 2*f**3*w**3 - 6522*f**2*w**2 - w**3 wrt f?\nAnswer: -412620*f**2*w - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 807787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 + 8*i\/11 - 6\/11.\nAnswer: -2*(i - 3)*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3343 - -91?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90376.42 nanograms to kilograms.\nAnswer: 0.00000009037642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.12.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 1*sqrt(3) + sqrt(363)*-3 - (sqrt(27)\/(-2*sqrt(3)))\/(sqrt(27)*2)).\nAnswer: 15 + 383*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/3 - 3024*n + 9076\/3.\nAnswer: -4*(n - 1)*(n + 2269)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 10, 0 = -2*n - 0*n + 2*f - 12233964. Let u = 2416980 + n. What is u rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - -21. Suppose 2*u - n = -4*b, 65 = 4*u + 2*b - 57. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 72?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/80 and -103\/4400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/225 and 35\/4.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2) - 3\/6. Let t = 6 - q. Suppose 0 = 3*x - t*x + 8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262635473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Solve -4*h + 4 = -d*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*y + 3, 3*k + 3*y + 3 = -y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by 47\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 10*h**2 - 74*h + 2. Let k be a(-5). Sort -4, -5, 1, k in increasing order.\nAnswer: -5, -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6484c62 + -4?\nAnswer: -6484c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.330814*-1274\nAnswer: 421.457036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97757, -195424, -293065, -390668, -488221, -585712, -683129, -780460?\nAnswer: -877693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) -45 (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -175155496, -175155489, -175155478, -175155463?\n\"Answer: 2*n**2 + n - 175155499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = 4*q, -5*q = b - 5. Let t = b + 14. Let z = t - 1. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 3:59 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 80, 12\/281, -1\/3, 0.4.\nAnswer: -5, -2, -1\/3, 12\/281, 0.4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 867 + -3469\/4. Let q = -2.6 - -3. Put q, f, -5 in ascending order.\nAnswer: -5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14769436 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 3*a)*((0*a + 6*a + 2*a)*(-4 + 2*a**3 + 4) + 17*a**4 - 12*a**4 + 17*a**4 - 2*a**3 + 2*a**3 + 5*a**4).\nAnswer: 86*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 23 - 26 - 19 - 3043*d + 93.\nAnswer: -3043*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (133\/1862)\/(1\/28)*1\/(-18).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02429584 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 1421.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*q, -5*k + 2*q + 2 = -2. Let x be 14*(6\/4)\/3. Suppose k*s + c - 11 = 0, -5*s + 15 = x*c - 2*c. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/136500 and 17\/99036.\nAnswer: 160933500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 - 524*s + 2720. What is l(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81005, 162807, 244609, 326411?\nAnswer: 408213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -2\/3*s**3 - 16*s + 216 + 0*s**4 + 0*s**2 - 122\/5*s**5. What is the third derivative of n(v) wrt v?\nAnswer: -2928*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 1\/6, -11, -20, 20 in ascending order.\nAnswer: -45, -20, -11, 1\/6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1131.5 + -1131. Which is the second biggest value? (a) 10 (b) w (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6296 + -1593?\nAnswer: 4903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2728384 and 958.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3\/8, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 + -114. Let d = 276 + h. Solve d = c - 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 3\/5, 3\/7, 153 in ascending order.\nAnswer: -5, -0.1, 3\/7, 3\/5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 2. Let l(b) = -b - 3. Let v(p) = p + 2. Let y(t) = 2*l(t) + 3*v(t). Determine -r(m) - 2*y(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/84 and (5500\/10296)\/((-70)\/15).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/5)\/((-30)\/(-900)))\/(-1 + 35\/50)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 4*r**5 - 2*r**5 + r**5 - 2*r**5 + 2*r**5 + (-2*r**5 - r**5 + 4*r**5)*(2 - 3 - 1) + 4*r**5 - 2*r**5 - r**5 - 11*r**5 + 48 - 48.\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 317. What is the highest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 2*y + y - 3*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 4. Let p be (-2)\/(-7) - (-33)\/7. Let v be 1*(5 - (3 + -3)). Suppose -2*q = p*a - v*q - 14, 4*a - 20 = -2*q. Give k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 43426692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 7\/3 (c) 0.08138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*d - 456*d - 2*z + 61 = 0, 12*d + 4*z + 21 = 11*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8362999 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -67, -72, -77, -82, -87?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 + 18*q - 38. Calculate the remainder when 419 is divided by k(3).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -21*q**3 - q + 2. Let b = -44 - -45. What is the common denominator of s(b) and -20\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(-12))))\/c*c\/(c**(-2\/7)*c)*(c**27*c)**(-14) assuming c is positive.\nAnswer: c**(-2658\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1.7, -8, -6, -1\/2, 0.16, 1 in increasing order.\nAnswer: -8, -6, -1.7, -1\/2, 0, 0.16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214298 (base 10) in base 12?\nAnswer: 10b0162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02758043 to four decimal places.\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + 8*z + 4. Let p be k(-2). What is the remainder when p\/(-120) + (-793)\/(-6) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - n - 5, -4*z = 2*n + 2*n - 4. Let k = -5 - -7. Calculate the highest common factor of z and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -1\/24*l**6 + 0*l + 0*l**5 + 1\/210*l**7 + 22*l**2 + 0 + 1\/12*l**4 + 5\/6*l**3. What is the second derivative of n(r) wrt r?\nAnswer: 12*r**2 - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/((-8)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400 * 0.4.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 6*s**2 + 3*s - 1. What is f(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z**(2\/27)*z*z))\/z*z)\/((z*(z*z**(-5))\/z)\/z))\/(z**(4\/7))**(-1\/83) assuming z is positive.\nAnswer: z**(77381\/15687)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 5*o**2 - 2. Let q(l) = -l**3 + 5*l**2 + 8*l - 8. Let a be q(6). Suppose -15 = -a*p + p. Calculate i(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -569 + 569.2. Put 3\/4, -0.01, z in descending order.\nAnswer: 3\/4, z, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10798268.\nAnswer: 2, 13, 281, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3170\/13 - 244. Suppose -k = -5*d - 95 + 96, 2*d = -3*k - 3. What is the nearest to 1\/3 in o, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 12*c + 4. Let t be q(-12). Suppose 0 = -t*w + 16, -5*r - 3*w + 0 = 13. What is the common denominator of 1 + r - (-1225)\/84 and -101\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 84946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-24)*r\/r**(-3\/7))\/((r\/(r*r*(r**(-8)\/r*r)\/r))\/r**(-23)))**(-15) assuming r is positive.\nAnswer: r**(5625\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2.91 (b) 2\/7 (c) 1\/2 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2*sqrt(99) - sqrt(99)) + sqrt(99)))\/(sqrt(36)\/sqrt(16)) + -3.\nAnswer: -3 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-4))\/5)\/1 + (-29)\/348\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 1, v: 4, k: 2}. Give prob of sequence ss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30751*w**2 + 94303*w**2 - 32806*w**2 - 30748*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 24*h**2 + 22*h + 9. Let c(d) = -5*d**2 + 3*d + 3. Let n be c(-2). What is the tens digit of s(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 958\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 20*x**3 + 17*x**3 - 9*x**3 to the form c + w*x**2 + s*x**3 + z*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 613080 or 613078?\nAnswer: 613080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*((sqrt(48)\/(-2*sqrt(4)) - ((sqrt(120)*1)\/sqrt(10))**2) + (sqrt(768) - (sqrt(768)*4 - sqrt(768))**2*-4)).\nAnswer: 75*sqrt(3) + 138175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1)*(2 - 5). Let m = 96425 - 96425. Let u = 1649\/13 + -127. Which is the second smallest value? (a) u (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1, -8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(5 + -2) - 2. Suppose 2*o - o - c - 1 = g, -3 = o + 3*c. Solve -a + 1 = -o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 - 8*p**2 - 2*p. Suppose 38 + 3 = -5*n - 4*k, 0 = -n - 4*k - 21. Let j be (8\/(-5))\/((-1)\/n). Let y(x) = x**3 + x**2. Give j*y(d) - o(d).\nAnswer: -2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2. Let c(a) be the first derivative of a**3\/3 + 5*a + 5. Let b(f) = 1. Let d(q) = 5*b(q) - c(q). Determine i(d(j)).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 6:34 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966 = 3528706*g - 3528683*g for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1527 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -337, -335, -333, -331, -329?\n\"Answer: 2*r - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 1.264. What is a rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j*z**6 + 24*j*z**4 + 33*j*z - 2*z**2 wrt z.\nAnswer: 360*j*z**3 + 576*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 10*u + 20. Let s be y(4). Put -2\/7, -0.05, s in ascending order.\nAnswer: s, -2\/7, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -77. Put c, 249, 0 in descending order.\nAnswer: 249, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 65*i**2 - i. Let h be g(3). Let f = 1026 - h. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 146, 143, 140, 137, 134?\n\"Answer: -3*i + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.43 + 0.17. Suppose 191*k + 272 = -232*k - 1420. Put 0.1, k, q in ascending order.\nAnswer: k, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 0.38 (c) -1.5 (d) 2\/9 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7910 = 214*r - 204*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j + j - 21 - 34 + 10*j. Is 8 a factor of m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 10. Let l be b(5). Suppose -6 - 9 = -l*r. Let g(t) = 4*t + 5 + r - 4 - 3. Give g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -2*o**6\/3 + 3*o**2 + 12. Find the second derivative of i(h) wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d**2 + 188*d**3 + 153*d**3 + 13 - 20*d - 342*d**3. What is q(-19)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5 + h + 1 - 2 + 1. Suppose -18*n - 276 = 5*n. What is a(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.0045 milligrams to kilograms.\nAnswer: 0.0007320045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1329 - 17*k - 1329)*(k**2 + 3*k - 3*k).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000176962 to 7 dps.\nAnswer: 0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117547.\nAnswer: 23, 48589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*o + 8, 2*p = o + 3*o + 16. Solve p = 3*g + i - 14, -g - 4*i + 11 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/3)\/(2\/6). Let u = i - -29\/2. Let v = -3.99 + -0.01. What is the biggest value in u, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - (-12 + 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-261)\/(-6))*25*-8000. What is j rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.935 - -41?\nAnswer: 266.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 - 156\/27. Let q be (-60)\/(-8)*(-4)\/t. Solve 0 = q*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -243, -244, -247?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8905*w**3 - 246*w**2 + 7?\nAnswer: 53430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*y + 41 = 261, 5*p - 4*y + 217 = 0. Let n = p - -286\/7. Let j = 66 + -200\/3. Which is the second smallest value? (a) n (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 + 5*a - 6. Let c be y(4). Let x = 0.0946 - 1.0946. What is the closest to -1 in c, 0.9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 0*g + g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2\/13, -32, -87\/16.\nAnswer: -32, -87\/16, -2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.384608 - -67.61525. Let s = -256 + 150. Let v = s + a. Round v to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021722852 rounded to five dps?\nAnswer: 0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 32 + 82)*(q + 4*q - q) to the form x*q + v and give x.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45554 > 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -3. Suppose 7*j + 1822 + 1517 = 0. Let z = -450 - j. What is the remainder when z is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4249744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2598.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226112.92 rounded to the nearest one thousand?\nAnswer: -1226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4\/7 - 888*h**3\/7 + 1766*h**2\/7 + 888*h\/7 - 1768\/7 = 0.\nAnswer: -1, 1, 2, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 5*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agjadjagjg. What is prob of sequence jgaj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -899*p**2 + 404*p**2 + 495*p**2 + 16*p**3.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6096 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10505.\nAnswer: 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440349020.\nAnswer: 2, 5, 71, 2422781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(4 - (2 + 1)). Suppose 7*p + 3 = 4*p, -j = -t - 4*p. Let y(x) = 3*x + 6. Let b(z) = -9*z - 17. What is t*y(m) + 4*b(m)?\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0732 - -0.4268. Which is the closest to 3? (a) 3 (b) h (c) -0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 2*p + 17. Let l be y(0). Suppose -9*w + l*w = 40. Suppose -2*f = -18 - 38. What is the remainder when f is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 302.1 - 302. Let c(s) = s**2 + 79*s - 167. Let r be c(-81). What is the closest to -1 in q, 2, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -46 + 142. Suppose 5*n - 34 = k. Suppose -3*v + 4*v = n. What is the least common multiple of v and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 5. Let c = -58 + 46. Let q(d) = -d**2 + 6*d - 8. Let h be q(6). Let v = h - c. What is w(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u. Let t(k) = -11*k. Let s(c) = 13*i(c) - 6*t(c). Let a(d) = 7*d. Give a(s(o)).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -6. Suppose -b = 2*k + 3*b - 66, 5*b - 160 = -5*k. Let z = k + -23. What is the greatest common factor of d and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/72 + (-8)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15604.5 - -15606. Sort c, 1, 3, -20 in descending order.\nAnswer: 3, c, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 365 = 4*y, 2*y - 5*o = -0*y - 193. What is y rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141.8 - -142. Let a = 0.8 - -0.2. What is the closest to a in 2\/5, k, -2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -11979*l - 359524. Determine v(-30).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41475465.\nAnswer: 3, 5, 921677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293.9 - 118.9. Let p = 18063.0051 - 18238.005227. Let l = p + g. Round l to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -366 - -371. Solve -m*l = 3*s + 17, 3*s - 27 = 4*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 369?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (0 - -4 - (19 - 11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -17, -1\/4, 8\/13, 0.04, 11?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:12 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7078033.\nAnswer: 7078033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-2) + 2\/4. Let i be 2\/(-6) + 3\/9. Sort d, 5, i.\nAnswer: d, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10966791?\nAnswer: 3, 11, 23, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/1 + 6974\/(-770))*7. What is the closest to -0.1 in -3, j, -33, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2544269 - -5085456. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -23, -30 in decreasing order.\nAnswer: -16, -23, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 2*x**2 + 6*x - 13. Let m(v) = v**3 + v**2 - 3*v + 6. Let h(q) = -9*m(q) - 4*z(q). What is the units digit of h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-18))\/(196\/(-224)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -209 - -278. What is f in -623 - 10*f + 10*f**5 - o*f**3 + 611 + 11*f**5 - 2*f - 15*f**4 + 87*f**2 = 0?\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077343?\nAnswer: 3, 341927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.2815.\nAnswer: -0.14075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k + 17. Let p(q) = -2*q - 1. Let v(m) = -11*m - 5. Let s(u) = 34*p(u) - 6*v(u). Calculate -6*g(y) - 26*s(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -40958830.\nAnswer: -40958830.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4103695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -248020 (base 11) to base 8\nAnswer: -1374250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 7*z = -10 + 37, 3*t = 3*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 8. Let n be (-4)\/(r\/1) - 2. Sort n, 0, 4 in descending order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 16*s**2 - 17*s + 2. Let n be j(17). Calculate the common denominator of n*1\/((-18)\/8) and -89\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 403, 486, 543, 568, 555, 498, 391?\n\"Answer: -b**3 - 7*b**2 + 111*b + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*c**3\/2 - 99*c**2 + 93*c\/8 + 129\/4 = 0. Calculate c.\nAnswer: -1\/2, 2\/3, 43\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -4 - 15 - 11) + (3 - 12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -438.6 - -438. Let o = 6 - 13\/2. Which is the nearest to o? (a) 2 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 858 = 4*o + 842 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 7:26 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/10)*y**(-6\/5))**(-44) assuming y is positive.\nAnswer: y**(286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 424876555 divided by 5?\nAnswer: 84975311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/25))**2 assuming y is positive.\nAnswer: y**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 28 + 253*i - 33 - 330*i.\nAnswer: -77*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/11 or 681\/1291?\nAnswer: 681\/1291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + 40\/6. Suppose 55 = i*p - p. Suppose 321 = 3*c + 24. Calculate the greatest common factor of c and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 148*k**2 - k + 1322. Calculate h(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*12*9\/189.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 9*s**2\/2 + 73*s - 2388. Give t(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 155?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 861542946 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001452818 to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d + 6. Factor -39*c**2 - 9*c + 6 + 2*c**3 - 12*c**3 + d*c**2 - 11*c**3.\nAnswer: -3*(c + 1)**2*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)\/(5\/2 + -2). Let v(k) = 4*k + 3. Give v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13257.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 k when four letters picked without replacement from {k: 7, w: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 0 + -5.\nAnswer: -5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 156930 - 313230 = 0. Let c be 1\/3 - (b\/9)\/(-10). Calculate the highest common divisor of 67 and c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*u + 13 + 77 = 0, 5*u = 25. Let l = 16 + h. Let x = l + 15. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 - 3*u - 16. Let j be q(6). What is the second derivative of -118*k**2 - 6*k - j*k + 15*k + k - 2 wrt k?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a**3 + 2*a**2 - 67*a**3 - a**2 - a**2 + a.\nAnswer: -33*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-234)\/(-54)*(0 + (-9)\/(-6)) + -6. Sort -0.484, a, -1, -0.5 in decreasing order.\nAnswer: a, -0.484, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 3*l + 0*l)*(-3 - 3 + 5) + (l + l + 0*l)*(0 - 9 + 3).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 + -192. What is the least common multiple of 33 and w?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 10309 = -7219. What are the prime factors of d?\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w = 4*p + 25, 0 = -2*p + 2*w + 10. Suppose p*n + 9 = n. Is (-3)\/n + (-25)\/(-3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 20*s**2 + 34*s + 42. What is the least common multiple of 7 and j(18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22112120130 (base 4) to base 3\nAnswer: 12002211200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 121 = 471. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 807808653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2023*i + 9 = -2020*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2884\/1133)\/(24\/264).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(847)*-4)**2 - sqrt(7)) + 5) + -3 + (sqrt(1008)*-2)**2 + 2.\nAnswer: -77311 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3300668)\/(-180) - (-74)\/(-1665) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102762 divided by 6?\nAnswer: -17127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 less than or equal to -348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74952350 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 + 3 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*b**4*f*m - b**4*m**2 + b**2*m**2 + 2*b**2 - b*f - 296*f*m wrt b.\nAnswer: 5640*b*f*m - 24*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 8 (b) 2 (c) 5 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 393*y - 44. Let p(l) = -50*l - 20. Let z be p(-2). Suppose -82*a = -z*a - 10. Is u(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*4*(3*sqrt(208) + sqrt(208) - sqrt(208)) + 0)**2*2.\nAnswer: 2875392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118191 to the power of 1\/2, to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -30, -60, -1, 5 in descending order.\nAnswer: 5, -1, -3, -30, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 8469 = -6519. Solve -m = -7*p - 136 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3199 + 3199. Solve g - 29 + 27 = n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19969\/13 + 1535. Let t = 1 + x. Is 0 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvaxvavo. Give prob of sequence aox.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 4. Let i be r(0). Sort i, 4, -1.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 4*w = 16*b + 11112, 0 = -4*b - 4*w + 22212. List the prime factors of b.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28948, -116014, -261126, -464284, -725488, -1044738?\n\"Answer: -29023*j**2 + 3*j + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (1 - 2 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121010202101 (base 3) to base 5.\nAnswer: 40131130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let u be q(3). Let l = 14 - 10. Let y be 4\/(-28) - (-215)\/35. Solve l*w + y + u = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63101 is divided by 113?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 982314?\nAnswer: 3929256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1 (c) -4\/11 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k\/(((k\/(k*k*k**18*k)*k)\/k)\/k)))*k\/(k*k**1))**(18\/11) assuming k is positive.\nAnswer: k**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 39. Sort 0.1, j, 1\/5, 1 in descending order.\nAnswer: j, 1, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8616 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3030818 and -83\/5180.\nAnswer: 30308180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2 + 6 = 0, 5*p - 26 - 23 = 3*o - 144 - 84 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q - 15*c = -23*q + 197, 4*q - 73 = 5*c. Let z(h) = h**2 + 3*h - 7. Let w be z(-5). Solve m = q*m + w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aatttttattt. Give prob of picking 1 a and 3 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29488663 rounded to three decimal places?\nAnswer: 0.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 489 (b) -0.2 (c) 1 (d) 27.73 (e) 3\/8 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -11. Let y be ((-1105)\/40)\/(-13) - (-1)\/(-8). Let z be x\/(-9)*3\/y. Solve 3*t - 17 = z*w - 0, 2*t + 12 = -2*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/11)*f*f*f**(2\/9))**(38\/7)*f**(-1\/3)*f*f*f**(-6)*f*(f**(-1\/3)\/f)**(-37) assuming f is positive.\nAnswer: f**(38186\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -17. Let r(d) = -9*d - 15. What are the prime factors of r(k)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1928031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2887259.\nAnswer: 19, 23, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:34 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/31969460 and -149\/6420?\nAnswer: 95908380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1764\/335 + 192\/67. Which is the biggest value? (a) -5 (b) -1\/5 (c) -0.01 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3369 divided by -4\nAnswer: 3369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 213285 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.3, -3, 3898?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:08 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + (4*sqrt(2057)*-1 - sqrt(2057)) + sqrt(2057)*2*-6)*3 - (sqrt(2057)*-3*-3 + sqrt(2057) - (sqrt(2057) + -3 + 0)))**2.\nAnswer: 3762*sqrt(17) + 6683202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/741 and 37\/242886?\nAnswer: 59992842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 39*q - 140392. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-36)\/((4\/6)\/((-1360)\/306))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-7))\/((-20)\/14). Let a be (1\/(-35))\/(2\/4). Let f = z + a. Is f bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 2*b**2 + b - 1. Let c = 160 - 159. Calculate the remainder when h(2) is divided by (c + (-1)\/7)*7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410180.\nAnswer: 2, 5, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t + 28*t - 76*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 + 103?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 + -112. Let d(g) = -9 + v*g - 6*g + 7 - 4*g. Calculate d(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9520 divided by -238?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m = 52*m - 3*q, m - 4*q - 22 = 0. Let f = 11 + -15. Sort m, f, 0.1 in descending order.\nAnswer: m, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1214 (b) 3 (c) 21 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2173\/136 + -165\/34. Let w = 516451\/22 - 23479. Find the common denominator of g and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*d = 172*d + 12. Solve -3*g + 2*a + 6 = 0, 4*g - d = 2*g - 3*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170725?\nAnswer: 5, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411 = -f - 1064. Let x = 29491\/20 + f. Find the common denominator of (-490)\/16 - (-16)\/128 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 696780 divided by 4?\nAnswer: 174195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4528935*q + 5488576 wrt q.\nAnswer: 4528935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8463, -3863, 737, 5337, 9937?\nAnswer: 14537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-60)*60\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30675394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - b + 4*b + 13080 = 0, 5*b + 15 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2420 (base 10) in base 3?\nAnswer: -10022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 0*i**2 - 4*i - 2*i**2)*(-4 + 4 + i + (3 - 3 + i)*(0 - 2 + 3) + 0*i + 2*i - 7*i).\nAnswer: -6*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -2)*-6 + sqrt(539) - sqrt(539)) + sqrt(539) - (-3 + (sqrt(99) + -1)**2).\nAnswer: -29*sqrt(11) - 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/153 and -67\/51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18518*q**2 - 257*q + 21383175 wrt q.\nAnswer: -37036*q - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.04291cm in kilometers?\nAnswer: 0.0005404291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 1312 = 932. What are the prime factors of r?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4085a6 (base 15) to base 3\nAnswer: -12202202110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c - 1. Let y(j) be the third derivative of -11*j**6\/15 - 11*j**4\/4 - 11*j**3 - 3179*j**2. Calculate 66*o(z) - y(z).\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -597*s - 4772. Let t be f(-8). Let y(v) = v**3 - 6*v**2 + 2*v + 2. What is y(t)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.1452528 to one decimal place.\nAnswer: 38.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + u)*(-u**2 + 2*u - 2*u) + (8*u - 12*u**2 - 8*u)*(-5 + 5 - 2*u) + 2*u**3 - 7*u**3 - u**3 as a*u**3 + c*u + h + q*u**2 and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2295.6 - 2296. Which is the closest to -0.1? (a) q (b) 4 (c) -40 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g = -97*g + 9750 + 4634 for g.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.01 - 20.09. Sort -4, z, 0.3 in ascending order.\nAnswer: -4, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68878223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 28*n**2 + 143*n + 2965. Is w(78) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 17*v**3\/6 + 137*v**2\/2 - 5412*v. Give p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 11:45 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20033 divided by 1\nAnswer: -20033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*h + 3. Let o(b) = -b**3 + 4*b**2 - b. What is o(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*4*(-18)\/(-540)*5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -37 - 11 - (4 + 2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1. Let q(k) = -4*k - 5. Calculate 4*n(i) - q(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k - 26 = -d, 4*k - 18 = 2*d. Let j = -6 - -9. Suppose -j*q + m + 44 = -3*m, -4*m + 76 = 3*q. What is the greatest common factor of k and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.94 + -0.84. Let j = -18 + 16.9. Let y = j + b. Are -0.6 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862 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: Calculate prob of sequence ml when two letters picked without replacement from {d: 1, m: 6, o: 9, l: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/21 - 1739*s**3\/7 + 2609*s**2\/7 - 2023*s. Factor f(q).\nAnswer: -2*(q + 2609)*(2*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(833)*-2 + sqrt(833) - (sqrt(204)\/(sqrt(108) - sqrt(12)) - (sqrt(119) + sqrt(119)*2)\/sqrt(7)))*1.\nAnswer: -37*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21609*s**3 - 75705*s**2 - 308737*s\/4 - 48841\/2.\nAnswer: -(s + 2)*(294*s + 221)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 405?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q - 4. Let k be h(4). Let d = k + 31. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 9*f**2 + 9*f - 2. Calculate the remainder when 91 is divided by y(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 0*r + 2*r)*(2*r - 2*r**3 - 2*r) - r**4 + r**4 - r**4 + (-2*r**3 + 0*r**3 + 3*r**3)*(r - r + 2*r) + 3*r**4 - 4*r**4 + 3*r**4 + 5*r**4 + 10 - 10.\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (1 - 57\/(-2)). Let z = p + 28. What is the second biggest value in 3, z, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 14*a**2 - 61*a + 855. Let o be n(14). Sort -2\/5, -4, 3, o, 1\/5 in decreasing order.\nAnswer: 3, o, 1\/5, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1594 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 + -4)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l + 189 = 0, 2*g - 659*l = -g - 660*l - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*c**4 + 4*c - 6*c - 33*c wrt c.\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/455436 and -61\/55664400?\nAnswer: 500979600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from ooouuuouuud.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 + -2113\/15. Let w = -7\/60 - z. Let k be 4 + ((2 + -4)\/1 - -1). Which is the smallest value? (a) -5\/3 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + u - 2. Let m be o(0). Is m\/2 - (-21 + -15363) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2. Let p(a) = -17*a**2 - 2. Determine -4*k(t) + p(t).\nAnswer: -13*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/5)\/(198\/660*(-10)\/12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -26, -1, 1, 2410?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -520.6 - -521. Which is the second smallest value? (a) 0.17 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:57 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l + 616. Let p(h) = 24*h**2 + h + 16. Give j(p(n)).\nAnswer: 600*n**2 + 25*n + 1016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/20062 and -19.\nAnswer: 20062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 65*q + 39. Let w(i) = 8*i + 5. Let m(x) = 5*k(x) - 39*w(x). Let b(a) = -3*a**2. Give b(m(n)).\nAnswer: -507*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-470)*(-140)\/6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6124.\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 127317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -2b26?\nAnswer: -2b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + (sqrt(76)*-2 + sqrt(76))*-5))\/(-1*sqrt(196)) + -2.\nAnswer: -2 + 5*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000\/40*1\/(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124996.89989 + -125001.9. Let a = -5 - z. Round a to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3087475 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*i**2 - 2 + (-2 - 2*i + 2)*(-3*i + 3*i + 3*i))*(6*i + 11*i - 22*i) to the form r + s*i**3 + b*i**2 + t*i and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 0*h**4 - 11*h + 14*h - 4*h**4 in the form z*h + w*h**3 + o*h**2 + g + j*h**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 6*y**2 + 8*y - 3. Determine o(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 30 = 2*x. Let a = 4 - -3. What is the remainder when x is divided by a + -4*(-2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(10\/(-15)*3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -128721, -128805, -128883, -128955, -129021, -129081?\n\"Answer: 3*k**2 - 93*k - 128631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(720\/32)*6\/(-118)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 4:54 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -2*u + 11, -15620 = -4*v - 2*u - 15606 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 14*t**2 + 31*t - 63. Give l(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0006 + 0.0512. Which is greater: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26860.\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, u: 4, a: 2}. Give prob of picking 1 u and 3 c.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025, 2044, 3063, 4082, 5101, 6120?\nAnswer: 7139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f + k - 14 = 0, -7 = f - 5*k. Let 4*i**2 - i**3 + 5*i**f - 2 - i - i**3 = 0. Calculate i.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43672 and 1442?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 197 in 6, 3, 0.03, 2\/133?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 1, z: 1, w: 2, q: 1, c: 1}. Give prob of sequence cqzk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2 + 154368*j - 1489342464 = 0.\nAnswer: 19296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4146393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/13)\/b)**(-22))**(39\/2) assuming b is positive.\nAnswer: b**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3133*j - 6715*j - 439450 = 2381*j - 3440*j for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4271347, 0, 2, 3, -1 in descending order.\nAnswer: 3, 2, 0, -1, -4271347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2205 and -73\/15?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/60 - 1477*o**3\/2 - o**2. Let s be j(0). Let v = -53203\/12 - s. What is the common denominator of -121\/12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**2 - 2*l. Suppose 3*o - 4*o + 11 = 0. Calculate the remainder when z(-2) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -129*l**2. Let h(f) = 41*f**2 - 7*f - 4. Determine h(d(r)).\nAnswer: 682281*r**4 + 903*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 6. Let k(q) be the second derivative of -q**3\/3 - q**2\/2 + q. Let t be k(-1). Let p(n) = n**2 - 2*n + 1. Let h be p(t). Determine i(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 + 119.9. Let p = q + 18.1. Let x = 564\/4997 - 2\/263. Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (7 + -14 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3483)\/(-9) - (-2 - -9). Let x = -366 + k. What is the greatest common factor of 22 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**3 + 0*k**3 + 7*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (381\/(-4))\/(4\/(-64)). Suppose -r - 3*r + o = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) + 983854\/(-522). Let l = -1837877\/975 - i. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422 - -10?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2297\/7 + -327. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.181125 milliseconds to seconds.\nAnswer: 0.001181125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 11b751?\nAnswer: -11b754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0, 2\/5, 0.1, -2\/9, -392?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 17, -0.78, 1, 5?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70759778200 rounded to the nearest one million?\nAnswer: -70760000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2847, -4983, -7155, -9369, -11631, -13947?\n\"Answer: -i**3 - 12*i**2 - 2093*i - 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 156*z - 3. Let o be l(28). Let x = 4750 + o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 171251 = 31139. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 1\/9, 3\/8, 4\/7, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a + 2095 + 1033 = 126*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113314401 (base 5) to base 6\nAnswer: -15140122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + 16. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/60 + f**4\/6 + f**3\/3 + f**2\/2 + 2*f. Let j(g) be the first derivative of z(g). Let x = 29 + -31. Give j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803067.\nAnswer: 3, 41, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2420.27 and 0.0349?\nAnswer: 84.467423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:02 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*f - 32, 0*f = -3*t + 3*f + 39. Let l(w) = -33*w + 181. Calculate the least common multiple of t and l(5).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((1 - 2) + 1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 7*d - 54 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958179121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*w - 136*w + 281*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -78, -313, -704, -1251?\n\"Answer: -78*o**2 - o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 14*w**2 - 1485*w - 3097. Calculate f(47).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.6 - 13. Round l to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 3893 = -2008. Sort 2, b, 5, -4.\nAnswer: -4, 2, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s - 6*s - 6*s + 20*s + 3 - s**3. Determine t(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/18 - (-6)\/9. Suppose -7*a + 12 = -u*a. Find the third derivative of 9*z**a + 29*z**2 - 971 + 971 wrt z.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3625\/702 + -89\/26. Let u = -331 + 2631\/8. Calculate the common denominator of j and u.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289*g**2 - 104*g wrt g.\nAnswer: -578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, j: 3, o: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -156397, -313282, -470167, -627052, -783937?\n\"Answer: -156885*o + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 * -375.\nAnswer: 24375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2407 and -0.4.\nAnswer: -2407.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20254 from 0.12.\nAnswer: -20253.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -20 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(9\/(-1218))*(-3)\/(-1). Let s = d - -779. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 23, 71, 151, 269?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 134 = -4*v + 1046, 5*v - 1113 = 3*k. What is the derivative of 47 + v*u**2 - 4*u - 5*u + 86 + 9*u wrt u?\nAnswer: 450*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 5\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1341313 + 4?\nAnswer: -1341304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 36270*i. Let l(a) = -2*a**2. Calculate l(v(w)).\nAnswer: -2631025800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-510)\/(-204))\/(3\/(-1)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*k + 288 = -393*k - 364*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 - 26*k**2 + 18*k - 3. Determine m(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 divided by 36?\nAnswer: 317\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34569980 to the nearest integer?\nAnswer: 5880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 6 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3\/(-9)*6\/(-1) - -2208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 + 349*s + 5. Let u(d) = -3*d**3 + 349*d + 4. What is -4*f(k) + 5*u(k)?\nAnswer: k**3 + 349*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -101994*-171.7\nAnswer: 17512369.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 254*x - 13200 - 4357*x + 6*x**2 - 1981*x.\nAnswer: 4*(x - 1650)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 6*l. Let z(f) = f. Let d(i) = -h(i) + 6*z(i). Let p(o) = -6*o**2. Determine p(d(m)).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24076.689 - -24067. Let f = -0.222 + a. Let s = f + 0.111. What is s rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -11 - (-13765 - 84\/7).\nAnswer: 2, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1787 or 1?\nAnswer: -2\/1787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1142035.713ns to weeks.\nAnswer: 0.0000000018882865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -14*f**2. Let n(r) = 9*r**2. Let a(o) = 5*l(o) + 8*n(o). Let w(p) = -19*p**2. Calculate a(w(b)).\nAnswer: 722*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/9 + 7*d**4\/9 - 4*d**3\/3 - 4*d**2\/9 + 16*d\/9 = 0. What is d?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12806.028 rounded to the nearest 100?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*x + 88 - 127 + 155 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -158 and -158 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 + 2262*z**3 - 9018*z**2 + 2242*z + 13524 = 0. What is z?\nAnswer: -1, 2, 3, 1127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or -0.105942?\nAnswer: -0.105942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2. Let a(b) be the third derivative of 17*b**4\/24 - 109*b**2 - 2. What is a(f(w))?\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 17. Let p be v(6). Let r = p + 27. Suppose 2*s + 5*m - 2*m + 9 = 0, 0 = r*s + 2*m - 2. Put -3, s, -5 in increasing order.\nAnswer: -5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271507 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -17. Suppose i*z + a = 51, 0 = z - 2*a + 7*a + 11. Let m = z - 12. Solve 0 = 4*c + m*n + 10, c + 7 = -3*c - 5*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3977, -12278, -29245, -59210, -106505, -175462, -270413?\nAnswer: -395690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -906 (base 13) in base 14?\nAnswer: -7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, o: 4, e: 2}. What is prob of sequence oe?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqlqqqlqqqqqqqlqqq. Give prob of picking 1 q and 2 l.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*u - 29 = -6*y, -y + 23 = 3*u. Suppose -44 = -y*s + 4*s. Solve -4 = -s*l - 2*r, 3*r = -0*l + 5*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-3 + 3 - p) + 3*p + p + 0*p - 48*p - 41*p + 65*p + p - 2 + 2 as w + c*p and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12531972*n**2 + 7549929*n wrt n.\nAnswer: 25063944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270613 + 486146. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26091448 from -0.4.\nAnswer: -26091448.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4889*r - 2568. List the prime factors of x(4).\nAnswer: 2, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q + 18. Let j(k) = 6*k - 16. Let m(v) = 5*i(v) + 6*j(v). Determine m(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*m + 243*m - 60*m - 56*m - 66*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*d + 28789 = -d, -5*o + 5*d + 28785 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -338740980 divided by 20\nAnswer: -16937049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -241*g**3 + g**2 + 25*g - 42. What is t(2)?\nAnswer: -1916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -2260?\nAnswer: -225a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*f + 0*f = -2, 2*f + 6 = 4*m. What is the lowest common multiple of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**5 + 3*j**5 + 2*j**5 + (-2*j + 4*j - j)*(-3*j**2 + 2*j**4 + 3*j**2) + 87*j**5 + 13027*j**3 - 13027*j**3 + 0*j**5 + 4*j**5 + 3*j**5.\nAnswer: 97*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9) - 7\/(-3). Let j be 48\/(-22) + 4\/22. Is j at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 15. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23343965*w**4 + 364*w**2 - 20*w - 128 wrt w?\nAnswer: -560255160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14669 and 225.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2 - 4) + -20 + 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1228428, -1228406, -1228380, -1228350?\n\"Answer: 2*t**2 + 16*t - 1228446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8111, 400.8, -2\/9?\nAnswer: 400.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 - 17*l**2 + 7*l + 6. Let j be x(-6). Solve 2*z - z + 4 = j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 29*z - 507 - 2*z - 159*z - 144 - 4*z**2.\nAnswer: -4*(z + 6)*(z + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9400 - 750?\nAnswer: 8650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*m + 172*m + 4895 = -453*m + 23015 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65101698140 + 0.14.\nAnswer: -65101698139.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:30 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1283766 - -27?\nAnswer: -1283738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133364 divided by 4.\nAnswer: -33341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5097 divided by -2.\nAnswer: -5097\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 r when four letters picked without replacement from pprrrprprprrrr.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 198*t + 2736. What is v(3)?\nAnswer: 3330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/220 - (-2)\/(-16)*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1566379 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -8.8. Let z = t - -6.9916. Round z to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16064985993134 + -5.\nAnswer: -16064985993139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22510183 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxhsk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p**2 + 4428*p - 885.\nAnswer: -3*(p - 295)*(5*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(162) - (2 + sqrt(162) - sqrt(162))))**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + v + 24 = 0, 5*v + 13 = -7. Let o(m) = 16*m + 8. Let j be o(g). List the prime factors of 3\/(-4) + 770\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16937 + 16940. Determine v so that 2\/7*v**k + 4\/7*v**2 - 16\/7 - 8\/7*v = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 33 - 3. Suppose 0*r - 5*r - 4*k = -25, -2*r - 3*k + a = 0. What is the third smallest value in 1\/3, -0.1, r, -0.15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1715) + sqrt(1715))\/(sqrt(50)\/(sqrt(10)*3)) + (sqrt(378)*6)\/(sqrt(48)\/sqrt(2) + sqrt(6)).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/5 (c) -0.62 (d) 4\/7 (e) 0 (f) -675\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27187101 divided by -9062367\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 19 (b) -2 (c) -3 (d) 0.1 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2020 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-25 - (2 - 6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 150020 (base 6) to base 3\nAnswer: 201120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1167.0001981 - 1167. What is m rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2163*n = -2157*n - 4212. Let d = 704 - n. Find j, given that -16\/5*j**d + 14\/5*j + 6\/5*j**3 - 4\/5 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/4195 or -1?\nAnswer: -4\/4195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2643 + -47485\/18. Find the common denominator of 17\/10 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62.1 + 62. Sort 1\/6, -4\/5, -9, z in ascending order.\nAnswer: -9, -4\/5, z, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53084 - -384209. What is the thousands digit of 6\/16 - z\/(-200) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/26 (b) -0.3 (c) -10 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4 = o, -o + 7*c = 4*c - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27027.\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, w: 4, n: 1, e: 3}. What is prob of sequence eln?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01515 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 55\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = n - 222. Suppose 3*w + 2*w - n = 0. Calculate the remainder when w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*m + 31. Calculate the common denominator of 2\/4*57\/2 and (-139)\/(-24) + m\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 32. What is the remainder when 116 + 1\/2*-2 is divided by f(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o + 10. Let n(l) = -4*l + 9. Let v(u) = 7*n(u) - 6*s(u). What is the units digit of v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = 7. Sort q, 4, -51 in ascending order.\nAnswer: -51, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*s - 24*s - 3100593 = 0. List the prime factors of s.\nAnswer: 157, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 976 - 2*y + 1060 - 282 - 27*y wrt y.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/20 - 21760\/25. Let v = -3399\/4 - u. Calculate the common denominator of ((-10)\/(-12))\/(-7 + (-1068)\/(-153)) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**3 + 7*b**2 + 3. Let w(i) = i**3 - i**2 - 1. Let r(t) = u(t) + 4*w(t). Let l be 3\/9*-1*6. Let o be 0 - (2 + 2*l). What is r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 38*x**3\/3 - 3. Let s(b) = -3240*b**2 + 3238*b**2 - 1 + 5 - 4. Calculate s(g(q)).\nAnswer: -2888*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4490\/9 + -499. Which is the closest to -2? (a) n (b) -2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 + (-6 - -4) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/37))\/v**3*v**(-9\/7)\/v**5 assuming v is positive.\nAnswer: v**(-2153\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 43 = -5*j, 6 = 2*j - 0*l - 4*l. What is the remainder when (6 - j)*1*-67 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 552, 19.08, 5 in descending order.\nAnswer: 552, 19.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfggxfgg. Give prob of sequence gx.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/27 smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 6 = -2*d, 6*s - s - 2*d = -30 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 13 = 2*t, -4 = -t - t + 2*h. Suppose -x - 54 = -3*i - 3*x, 4*x + 12 = 0. Suppose -i - t = -m + 2*c, -3*m + 5*c = -70. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12822896 and 5712?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11110*m*y**3 + 3*m*y**2 + 3*m*y + 73*m - 3*y**3 + y**2 + y + 115787 wrt m.\nAnswer: 11110*y**3 + 3*y**2 + 3*y + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11692431*x**2 - 284*x + 18088?\nAnswer: 23384862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0*v - v - 2 - 2. Let s be l(-4). Suppose 3*k - 2*u - 53 = -6, -2*k + 4*u + 26 = s. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*w*x**3 + 6809*w*x**2 - 4*w*x + 2*w - 302556*x**3 + 2*x**2 wrt x?\nAnswer: -54*w - 1815336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*195\/156.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12195 and 8130.\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 25 - j - 21 - 4. Let u(h) be the third derivative of -77*h**5\/60 + 5*h**2. Determine u(q(r)).\nAnswer: -77*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*b**4 - 18*b**3*s - 10*b**2 - 37*b*s - 2 wrt b?\nAnswer: -1200*b - 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -30322?\nAnswer: 30339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 1. Determine v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**2 - 36*j**2 + 58*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.48 - 1.79. Let r = -0.69 + i. Let f = -1 + 1. What is the closest to r in 3, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b = -31275 - 32985. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244237 to the power of 1\/2, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16697008 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5208 and 9114.\nAnswer: 36456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -7\/156 (c) 0.1 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 1. Suppose 4*s - 4*f + 448 = 0, 194 = s - 3*s - 4*f. Let q = s + 106. What is d(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2433926.58 and -0.1335?\nAnswer: 2433926.7135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -105500?\nAnswer: -3\/105500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -229 + 225. Which is bigger: -40\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*m - 53 - 13, i = 2*m + 63. Let r = m - -30. Suppose -2*b = -b + 4. Which is bigger: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 1.6. Let v = -39 - -37. Sort -5, j, v.\nAnswer: -5, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16.1 and -17579398.\nAnswer: -17579381.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 20. Let k = 59 - 63. Sort -1, b, k in ascending order.\nAnswer: k, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/13 - 32*b\/13 + 34\/13 = 0?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by -3.\nAnswer: -116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from iicac.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2649197*g. Let a(f) = -5*f**2. Give a(c(k)).\nAnswer: -35091223724045*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 389*a + 207. Let n(g) = -97*g - 48. What is 13*n(d) + 3*x(d)?\nAnswer: -94*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9639 and -151.1.\nAnswer: 9487.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -r - 37, -87*r - 86*r = -5*s + 82*r - 247*r + 302 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/14*10*(-36)\/(-60)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 78*l + 1357. Calculate q(-7).\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 26*h**3 - 6*h + 11. Let d(u) = -31 + 33 - u + 0*u**3 + 5*u**3. Give -2*a(r) + 11*d(r).\nAnswer: 3*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 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: Convert 7.829695t to kilograms.\nAnswer: 7829.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -r. Suppose r*x - 4 = o, -9 - 11 = -4*x. What are the prime factors of -3*2*(-4)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p**2. Let m(b) be the first derivative of b**6\/40 - b**3 + 15*b**2\/2 - 98. Let g(v) be the third derivative of m(v). Give g(h(z)).\nAnswer: 1296*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4*(-10 - 380\/(-30)). Solve 4*f + l = 3*f, 0 = z*f + 3*l + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1042 and 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10177653853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -35. What is the common denominator of -77\/48 and 433\/(-20) - s\/10?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/5, -43.\nAnswer: -43, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115911 to the power of 1\/2, to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 209*t - 6040. Let x be m(29). What is the nearest to 0 in 2, -4\/11, x?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5832479239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 11*i. Suppose -30 = -2*t + 4*r, t + 5*r + 15 = -t. What is the tens digit of a(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/11*11\/2. Suppose 0 = -h - 5*z + 41, -c*h = 3*h - 2*z - 340. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6348743, 12697537, 19046331, 25395125, 31743919, 38092713?\n\"Answer: 6348794*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-6\/25))**(-33))**(35\/3))**(-2\/105) assuming k is positive.\nAnswer: k**(-44\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 7:59 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0\/(-3))\/(-3))\/(-2). Suppose d = o - 4*o - 9. Does 11 divide ((-12)\/(-8))\/(o\/(-44))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 8.\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35321011 a multiple of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/229 + -436\/2519. Sort h, -1, 2 in ascending order.\nAnswer: -1, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16622417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h + 3019. Determine z(-2).\nAnswer: 2991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(950) + sqrt(950) + 1*sqrt(950))\/(sqrt(126)\/sqrt(7)))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*u = 4*h - 1122, 0 = -h - 3*u + 213. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 5*k + 79 = 0, 3*k - 16 - 11 = j - 0*j + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221132320 (base 4) to base 13.\nAnswer: 5c452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15060126 and 402.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 1. Let s be x(-1). Let o(a) = 2*a - a + 9 - s*a - 6*a. Let d(u) = -15*u + 19. Let i(f) = -6*d(f) + 13*o(f). Differentiate i(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19644 or 98213\/5?\nAnswer: 19644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11 = -9. Let t = g - 7. Suppose 3*m + 2*c = 8*m + 8, 4*c = -2*m - 8. Do t and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 9*l**2 + 11*l + 6. Let o be i(10). Let v = -4 - 1. Let w(y) = -y + 3. Let k be w(v). Solve -2*c = d + d + k, c - 4*d = o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57\/152 - (-1332)\/32. Let g be 4429996 - ((-6)\/(-14) + (-186)\/j). What is g rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 120, 181, 242?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most -23\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 x when three letters picked without replacement from {p: 7, u: 6, x: 1, l: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4\/11 (c) -45 (d) 39\/2 (e) -2\/17 (f) 1\/4 (g) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 151*u**2 + 232*u + 350. Let f be d(-77). Solve -8*i + 249 = f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - u - 1. Let p(o) = -10*o**2 - 6*o - 5. Let f = 7 + -13. Let w = 18 - 17. Let x(c) = f*g(c) + w*p(c). Differentiate x(k) wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168 a factor of 21595175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -1\/7, -0.5, 2, -18?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 times -0.1\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d - 1 + 25. Suppose u + 4*l = -15, 5*u - d*l = -7*l - 15. Sort 39, -2, u, 4 in ascending order.\nAnswer: -2, u, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d*l**3*r**3 + 2*d*l**3*r - 3166*d*l**3 + 7674*d*l**2*r**2 + 2*d*l*r + 2*r wrt r.\nAnswer: -18*d*l**3*r + 15348*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 equal to 403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1506*m**3 + 2*m**2 - m - 4. Let v be y(-1). Suppose 0 = 4*i, -b - 4*i + v = -1104. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 652329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -805, -1165, -1509?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 18 - (59 + -34).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -7 + 0 - -1246. List the prime factors of 5 - (14\/42 - b\/3).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0 + -365a?\nAnswer: -358a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 520 and 2760745?\nAnswer: 22085960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2410*q = 34231 + 23609 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/3 + 5)\/((-1)\/(-30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 39\/7, -340, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**2 - 132*o + 68 = 0 for o.\nAnswer: -17, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11175*u**2 - 5226 + 5226 + (-u - 2 + 2)*(0 + u + 0).\nAnswer: 11174*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5 (c) -2.4 (d) 4 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2321 and 18799.\nAnswer: 18799.2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9628539nm to centimeters.\nAnswer: 0.00000009628539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 6*g - 1. Let s be (-2 + -3)\/(1\/(-7)). Suppose -28*n = -s*n + 322. Let j(r) = 24*r - n*r + 23*r. Calculate -2*h(t) + 14*j(t).\nAnswer: -4*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let x(r) = -r**2 - 3*r + 6. Let d(f) = x(f) + 3*y(f). What is the units digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m + 2440 = 71*m. Solve -35*n - 201 = -m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 29 = 4*y - 7. What is the smallest common multiple of 534 and y?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22542 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 9. What is the remainder when 20 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*n + 2 + 17, 0 = -2*g + 2*n + 2. Suppose -y + g = 2*y, -4*y - 349 = -3*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + ((sqrt(252)*-1)\/sqrt(9)*3)\/((sqrt(256)*1 + sqrt(256))*4).\nAnswer: -3*sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 + 54. What is the units digit of (-14)\/(((-3)\/u*-6)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000438 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 - 14*l**3 + 9*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/56 and -97\/5656.\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-8))\/5)\/(10\/(-1280)*-160)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1863907?\nAnswer: -3\/1863907","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 9*r - 15. Let w be i(11). Let k = w - 63. Let v = k + 103. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391538.\nAnswer: 2, 7, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.249312s?\nAnswer: 6249.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5 (c) -13 (d) -1 (e) -1\/2 (f) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 110, 168, 282, 476, 774?\n\"Answer: 4*j**3 + 4*j**2 + 18*j + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*j + 2*m + 15, -5*j + 25 = -5*m. Let q = 4.02 + -4. Let g = 0.02 - q. Which is the smallest value? (a) g (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7763, -4, 2\/13, 1, 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 + 4*b**2 - 4. Let g(o) = -6*o**3 + 3*o**2 - 3. Let d(v) = 4*g(v) - 5*k(v). What are the prime factors of d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31991857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 132 (b) -39 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59092 divided by 79.\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-8))\/(5\/100). Suppose -5*t + o = -0*t. Solve 7*h + 5 = t*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007228199 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495 > 177729\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83*s + 77*s + 21*s**2 - 3*s**5 - 27*s**3 + 15*s**4 + 0*s**5.\nAnswer: -3*s*(s - 2)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -815 + 817. Suppose 4*s + 655 = h*r - 1507, 2*r - 2138 = -4*s. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37908 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3) - 0)\/(9\/(-27)). Let q = -5 + 5. Solve 0 = j - s - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/30*(-4)\/8. Let l = -2.7 + 2.3. Let n be ((-6)\/5)\/(3\/10). What is the closest to 0.2 in n, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 88*r - 24 + 42.\nAnswer: -88*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 305*j**3 - 123*j**3 + 6*j**2 + 336*j**3 + 12*j**2 to z*j + d + c*j**3 + u*j**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 260 = -955. Calculate the greatest common factor of 30 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*w**2 - 11*w**2 - 9*w**2 to the form z*w**2 + j + n*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/4 - 1411*g\/2 - 2823\/4 = 0. What is g?\nAnswer: -1, 2823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*n = -28983, 3*k = 5*n + 11220 + 6145. List the prime factors of k.\nAnswer: 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 - 140 - (2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0 - 2 + 3*o**2 - 6*o - 2*o**2. List the prime factors of i(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2\/3, -1, 2\/9, 0 in ascending order.\nAnswer: -1, -2\/3, 0, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1dda9?\nAnswer: 1dda4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35655 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:14 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/(-36))\/((-2360)\/11328))\/(((-8)\/(-190))\/(-2))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1654981 and -43876.1?\nAnswer: 1611104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -670 + 6818. What is the lowest common multiple of 6 and s?\nAnswer: 18444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -984*v - 8465*v + 245*v + 894*v + (-1 + 4 - 1)*(v - 2 + 2) to m*v + g and give m.\nAnswer: -8308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5981 = -1117. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12785453 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -13. Let c = 9 - h. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = -1272. Suppose 4*u + 1756 = 4*p, -j = -3*p + 4*u + 44. Suppose 0 = -5*w - p + 2440. What is w rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.99342 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, v: 4, a: 1, r: 2, q: 1}. Give prob of sequence qww.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p**3 - 3*p**2 - p - 23. Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2558\/7 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.5725 * -0.9\nAnswer: 2.31525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -118. Suppose 0 = -m - t*m + 28. Solve -1 - 10 = 3*u - 4*x, 2*u + 3*x - m = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126788 divided by -7762?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 81374412?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 373*s**2. Let c(l) = 3*l + 2. Let k(i) = -13*i - 8. Let p(t) = 4*c(t) + k(t). Determine b(p(f)).\nAnswer: 373*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 8. Let r be q(8). Suppose v - r = -5*h, 0 = -5*h + 6*v - v. Solve -10 = 2*p + h*d - 2*d, -5*p + 20 = -4*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 192 = k. Let g = -8 - k. What is the highest common factor of g and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239290*l**2 + 669594*l wrt l?\nAnswer: -478580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) + -2*sqrt(9)) + (((sqrt(44)*-2 + sqrt(44))\/sqrt(4))**2 - sqrt(11)).\nAnswer: -2*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1642 - 44332\/27. Which is the nearest to -1\/2? (a) 0 (b) 1 (c) -2\/7 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94830, -94867, -94902, -94935, -94966, -94995, -95022?\n\"Answer: n**2 - 40*n - 94791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + u. Let h = 1 - -1. Suppose -4*q = 2*z - z + 12, -h*z + 5*q + 28 = 0. Suppose 0 = f - 3*f - z. Determine x(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from mmbzmxmzzxmxmmxxmz.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33870150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 u when four letters picked without replacement from {u: 2, r: 16}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/2)*r**(-4))\/(r\/(r\/r**1)*r**(-1\/7))*(r**(2\/7)*r)**(-46)*(r\/(r**(-1)\/r)*r)**33 assuming r is positive.\nAnswer: r**(133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*w = -4, -4*t = 3*w - 1 - 27. Solve 3*f + t = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/3)\/(-4)*((-4131)\/(-54))\/(-51).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (-7 - (-7 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*f + 24, 3*f = -3*o + 10 - 1. Solve q + 5*y + 11 = 0, -q + 5 = -f*y - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 4*q**3\/3 + 264. Let i(r) be the third derivative of -7*r**5\/30 - 3*r**2. Determine u(i(d)).\nAnswer: 784*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6674\/3 - 2204. Let x = 113\/6 - t. What is the common denominator of x and -115\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 8*h - 9. Let s be r(-6). Let w = 1.7 - -0.5. Let l = -2 + w. What is the second biggest value in 5, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 80 = 5*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39555, -39225, -38895, -38565, -38235?\n\"Answer: 330*i - 39885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -318*o**4 - 654*o**2 wrt o?\nAnswer: -7632*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-91) + (-115)\/35 + 4. Is -24\/19 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144\/7*o**2 + 24*o + 0 + 6\/7*o**4 + 18\/7*o**3.\nAnswer: 6*o*(o - 2)**2*(o + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -131\/4. Let o = -2 - -1.5. Let x be (4\/10)\/1*-10. What is the nearest to -1 in u, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 96*y**2 + 70*y - 233. What is the units digit of w(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -21 + -6 - -33\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -11) + 9\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/51363 and -47\/3.\nAnswer: 51363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 3. Let r be z(-5). Let k = r - 4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*o - 31 = 164*o + 109 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 12*b + 18*b - 300740 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (306 - 300) + 0 + -17\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 + 2. Let t(n) = -5*n. Let r(q) = -4*q. Suppose 21*a - c = 19*a - 10, 2*c = 2*a + 8. Let x(m) = a*r(m) + 5*t(m). What is x(g(i))?\nAnswer: -5*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + 1*sqrt(57)*-6 + sqrt(57))\/((sqrt(24)\/sqrt(2))\/sqrt(4)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351530 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17148 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 6*c**2 - 2*c + 9. Suppose -3*w + 2*p + 26 = 4*p, 0 = 4*p - 16. Give h(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 + -58.9. Let j = k - 148. Sort -2\/11, -5\/2, 9, j in ascending order.\nAnswer: -5\/2, -2\/11, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10869\/23 or -474?\nAnswer: -10869\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189637.\nAnswer: 7, 27091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*y - 3*m, 19*m + 27 = 3*y + 23*m. Solve 50*i + 231 = y*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116*9242.1\nAnswer: 1072083.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -1\/3 (c) 3607\/4174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {z: 3, t: 4, g: 9}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 486, 895, 1574, 2523?\nAnswer: 3742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11611 + 411 = 4*z, z - 3*j - 2999 = 0. Does 72 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 31 = -3*g, 2*g + 87 - 88 = -p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10607?\nAnswer: 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 5*i**4\/3 - 15*i**2\/2 - 28*i. What is the first derivative of n(s) wrt s?\nAnswer: 40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*a**5 + 2*a**4 + 19*a**3 - 8*a**2 + 2*a + 151 wrt a.\nAnswer: -2700*a**2 + 48*a + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44468 = -2*w + 19*z - 21*z, 4*w - 5*z = 88918. List the prime factors of w.\nAnswer: 2, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2718*g + 4 = -2716*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8541*s**3 + 117*s + 16. Let r(b) = -8541*b**3 + 145*b + 15. Let m(h) = -3*d(h) + 2*r(h). What is the second derivative of m(f) wrt f?\nAnswer: 51246*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5961 - 5961.2. Let w = -1.1 - -1. Let i(u) = -u**2 + 4*u. Let t be i(2). Which is the nearest to w? (a) -3 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 3*l**2 - l. Let o be t(-3). Suppose -2*v + v = -o. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38246.\nAnswer: 2, 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Is 13 a factor of (-50)\/(-2 + l) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3094700 rounded to the nearest ten thousand?\nAnswer: 3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:09 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 182 - 7. Let v = u + 11. Is v > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 825, 767, 691, 591, 461, 295, 87?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/19 + 106*b**3\/19 - 1068*b**2\/19 + 2944*b\/19 - 1984\/19 = 0.\nAnswer: -62, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixyi when four letters picked without replacement from {y: 1, x: 1, o: 2, i: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4955.363 millimeters?\nAnswer: 495.5363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 0*m - 1\/3*m**3 + 0*m**2 - 2. Let r(n) be the third derivative of n**4\/8 + 2*n**2. Determine r(y(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8089*o - 1245707. Determine w(154).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23406, 23380, 23362, 23352?\nAnswer: 23350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*z = -16, 7 = 5*z - 3. Let c be (2 - (1 - l)) + -8. Let t(i) = -i**3 - 6*i**2 - 2*i + 5. Calculate t(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 370, 779, 1332, 2023, 2846, 3795?\nAnswer: 4864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(240)\/sqrt(6))\/sqrt(8) + sqrt(45) + 2 + 4).\nAnswer: -20 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/2 - 6*i - 11\/2 = 0. Calculate i.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:37 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Let d = -52.24 + 1.24. Let z = d - -51.3. What is the closest to -0.1 in z, i, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 2*x**3 + 5*x**3)*(68*x + 223*x - 54*x) + (-1 - 2*x**3 + 1)*(4 - 4 + 2*x + (3 - 2 - 2)*(x - x - 2*x) - 1 + 1 - x + 3*x - 3*x + x).\nAnswer: 1651*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084 a factor of 1306847328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -7. Let w(u) = -2*u**2 + u - 1. Let n be w(1). Let p = n - z. Solve 0 = k + p - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184643 is divided by 1137?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15893908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 11*y - 8. Determine z(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -9*r**9\/56 + r**5\/15 + r**4\/12 + 15*r**2. What is the third derivative of y(k) wrt k?\nAnswer: -9720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9536)\/(-416) - 23) + 23\/(-46)*30\/481?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045473371?\nAnswer: 1045473371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 179*h - 11*h - 33*h. Let l(n) = -n**2. Determine l(j(s)).\nAnswer: -18225*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmh when three letters picked without replacement from {m: 2, h: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3759 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.004436ms to nanoseconds.\nAnswer: 3004436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15218780.6235 and -16?\nAnswer: 15218764.6235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3e2a (base 15) to base 2\nAnswer: -11010000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 5*y. Suppose y*r + 740 = -4*r. Is 7 a factor of r\/(-25) - 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(170)\/(sqrt(30)\/sqrt(192)).\nAnswer: -2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 30*z. Suppose 3*w - 12 = -6. Let k(n) be the first derivative of 9 - 3*n**2 - 2*n**w + 2 + 4*n**2. Calculate g(k(q)).\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44175675 or 44175673?\nAnswer: 44175675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y + 8. Suppose 5*j = 2*j - 12. Let z = 2 - j. Let m be i(z). Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.298 to the nearest integer.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -0.0203, 1\/2, -5 in increasing order.\nAnswer: -5, -0.0203, 1\/2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -493, -748, -1009, -1276, -1549?\nAnswer: -1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14 != -256746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 81851*o - 818502. Calculate d(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 3 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r, -2*c - 4*r = -10. What is the remainder when 8 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 63 - 165*i - 2574*i + 21.\nAnswer: -2739*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4 + 125*x**3 - 70*x**2 - 1160*x - 960 = 0. What is x?\nAnswer: -2, -1, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 33 = -12 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14559 divided by -3\nAnswer: 4853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*g = -8, 0 = c + 2*c - 5*g - 31. Let q(x) = -413*x + c + 0 - 3 + 0. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2067, 2075, 2097, 2139, 2207, 2307, 2445, 2627?\nAnswer: 2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5883 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 261, 264, 285, 330, 405, 516, 669, 870?\n\"Answer: t**3 + 3*t**2 - 13*t + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 14*i = 6*i - 50. What is the greatest common divisor of 2025 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2874, -6712, -11508, -17262?\nAnswer: -23974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 4. Let u = 6.204 - 1.18. Let r = z - u. Round r to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00604 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5642?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540259 is divided by 175?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 87256697.\nAnswer: 2\/87256697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -4 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(((-3)\/9 - -1)*3). Suppose 0 = -a*v - 5 + 15. What is the hundreds digit of v\/(28\/(-1526)*(-1)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -13*n**3 + 9*n**2 + 83*n - 104. Let x be o(-24). Round x to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 52980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -93*l + 1318. What is j(14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/36*5\/(-20)*-16\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/14 - 40\/(-25).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1069 - 1068. Solve -x - 5\/6*i**2 + 17\/6*i = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 516.4 - 517.4. What is the second biggest value in -15, -9, -6\/11, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2*x**3 + 2699*x**2 - 2699*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -523 - -261. Let q = x - -261.999999929. Round q to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/15 - (-46*(-82773)\/(-366120) + 10) and -83\/2260?\nAnswer: 20340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4 - q**3\/3 - 3*q. Find the second derivative of a(t) wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*c + 1 = 4, 5*k - 35 = 5*c. Suppose f + o = 6, -f + k*o + 18 = o. Calculate the remainder when 37 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 a when four letters picked without replacement from {u: 8, a: 2, f: 5, m: 3, k: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 797 + 5?\nAnswer: 7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/8 and 0 + 655\/240 - 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2199 + -2173. Let a = -5.061 + 0.061. What is the smallest value in m, -10, a, -0.4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**5\/5 - s**3\/6 + 7*s. What is the second derivative of v(m) wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -101011011110010?\nAnswer: 101011011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 72522.\nAnswer: 217566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)\/((d**(11\/3)*d)\/d)*d**(-25)\/(d**(-2\/127)*d) assuming d is positive.\nAnswer: d**(-13202\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7430 + 5?\nAnswer: 7435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10942 divided by 3\nAnswer: 10942\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -45815 times 1.2?\nAnswer: -54978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17869 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16971, 136063, 459419, 1089171, 2127451, 3676391, 5838123?\n\"Answer: 17022*q**3 - 62*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + -27. Let w be (g\/3)\/(-5) + -3. Put w, 3, -1 in increasing order.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8600 - -13607. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151650409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(486) - sqrt(486)*1 - sqrt(6))\/(2*sqrt(3)*1) + ((sqrt(240)*-2 - sqrt(240))\/sqrt(12))\/(sqrt(20)\/(sqrt(2)*-2)))**2.\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5940 + 5940. Sort -3, 3, -5, g in increasing order.\nAnswer: -5, -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -205333209, -205333212, -205333217, -205333224, -205333233, -205333244?\n\"Answer: -o**2 - 205333208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**2 - 94*z**2 - 63*z**2 + 11*z**2 - 80*z - 72*z**2 wrt z?\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (6 - (-12 - -7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {z: 5, j: 1, u: 2, v: 2, h: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 12:08 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -224744?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = 0, 2*q + 2*q - 5*h + 69 = 0. Let r = q - -51. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = 33*z. Solve 0 = 6*i - z*i + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 38 = 3*g. Let z = g + -3. Suppose -z = -f - 10. Sort 3, 1, f.\nAnswer: 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -303*a + 12752. Give i(42).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/4 + 1180*k**3 + 8577*k - 12708. Find the first derivative of s(n) wrt n.\nAnswer: 3*n**2 + 7080*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 122308778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 6:32 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 453 and 8?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -2, 5, -491 in increasing order.\nAnswer: -491, -2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 2:19 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/1466 in -3, -1.3, -5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 divided by -15?\nAnswer: 122\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from omkmnms.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*b**2*r**3 + 9*b**2*r + 20*b**2*s + 87*b**2 + 3*b*r*s - b*s + 2*s wrt r.\nAnswer: -81*b**2*r**2 + 9*b**2 + 3*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/5)\/(1\/(-5)). Let t(u) = -2*u**3 + 73*u**2 - 38*u + 72. Let r be t(36). Is r <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.020669 + 0.020669. Let p = 0.1 + 0.3. What is the second biggest value in -1.6, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = p + 3, -4*p = 5*c. Suppose 75 = c*b - 17. Suppose 5*h - 4*m - b - 7 = 0, 4*h = -5*m - 17. Solve -g - h*w + 6*w - 1 = 0, w - 1 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1471.000606 + 1471. What is t rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 11. Let r be h(6). Let u(x) = 2*x**2 - 9*x - 10. Let t be u(7). Let f = t + r. Which is bigger: 15 or f?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/(((-756)\/55440)\/((-4)\/22))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 = 5. Suppose -z = -3*d + 5, -4*z = -d - 3*d + 4. Suppose -d*o + 8 = v*o. Solve 0 = -5*k + 5*m, 2*k - o*m = 5*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*x)*(0*x + 8*x - 3*x)*(1 + 3 - 3)*(-5 + 1 + 3)*(-591 + 237 + 289).\nAnswer: 650*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1273082, 2546899, 3820716, 5094533, 6368350?\n\"Answer: 1273817*k - 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 5. Calculate w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/52 + ((-10)\/(-4))\/(-5). What is the closest to 0.1 in 0, 0.04, 0.3, n?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.27 - 0.17. What is the nearest to u in 1, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(272) - sqrt(272))**2 - sqrt(272)) + 3 - (-2 + (-6*(sqrt(17) + -1)**2 - sqrt(17)) + (sqrt(17) - (sqrt(425)*2)**2)).\nAnswer: -16*sqrt(17) + 1822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 11319448 + b**2 - 11319448.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 6:17 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 13*s**7\/210 + 59*s**6\/30 + 467*s**5\/20 + 1405*s**4\/12 + 200*s**3\/3 + 3431*s**2. Determine q so that x(q) = 0.\nAnswer: -8, -5, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + x = -34, y - 1 - 3 = -2*x. Let n(u) = -u**3 - 3*u**2 - 2*u - 3. Let f be n(-3). Let b = f + 0. Solve -b*m + y + 7 = k, -2*k = -4*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, t: 9}. Give prob of sequence tgg.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360578.\nAnswer: 2, 180289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0 = -8. Let k(z) = z - 4. Let w be k(d). Solve -x = w*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by 18.\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(2\/13)*j)*j*j*j**5*j*j**(-1\/8)*j\/j**13)**44 assuming j is positive.\nAnswer: j**(-3751\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.260111 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698807, 698805, 698803, 698801, 698799?\nAnswer: 698797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*i + 78*i - 28 = 0. Let s = -10 - -21. Calculate the least common multiple of s and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*6\/(-18) + (-13)\/(-15)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*j**6*o - j**4*o - j**3 + 26*j**2*o + 2*j*o wrt j?\nAnswer: 1920*j**3*o - 24*j*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 36914444.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + 0 + (-4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -710*z**2 - 630*z**2 + 1171*z**2 + (-4*z - z + 3*z)*(2*z - 4*z + 0*z) + 0 + 3*z**2 + 0 as c + x*z**2 + n*z and give x.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 28. Let t(s) = -8*s**2 - 10*s + 7. Let y(d) = d**2 + d - 1. Let n(g) = -t(g) - 6*y(g). What is n(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 2*h**3\/9 - h**2 + 4*h\/3 + 5. Factor v(c).\nAnswer: 2*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a**(2\/5)\/a)*a))\/a**1)\/((a*a*a**2*a)\/a*a**(-1\/3)))\/(a**(-6)*a**5*a\/a**(7\/3)*a\/(a\/a**(-7))) assuming a is positive.\nAnswer: a**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -5*p**3\/6 + p**2 + 2*p. Let n(o) = 1. Let m(h) = -h**3 + 8*h**2 - 3*h + 26. Let s be m(8). Give s*n(l) - v(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-13\/4)*(r*r\/(r*(r**0\/r)\/r*r))**45)\/((r**0)**(1\/4)\/(((r**(-1\/9)*r)\/r)\/(r\/r**(-2\/5)))) assuming r is positive.\nAnswer: r**(15343\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*j**2 + 11 + 63 + 1 - 3*j**2.\nAnswer: 55*j**2 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-20)*(-46125)\/6642\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12472951?\nAnswer: 17, 43159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15241 is divided by 2176.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -9.7. Let w = 389 + -1165\/3. Let j = 3 + -1. What is the smallest value in j, r, 0.5, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.71 - 61.\nAnswer: -60.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3121 (base 8) to base 2.\nAnswer: -11001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + 74 + (-1 - 0)\/1. Let a(i) = 4*i + 8. Let u be a(6). What is the greatest common factor of z and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(441\/56) - (-382)\/1719) + (-3608)\/(-42).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 2*u**2 + 4*u**2)*(-4*u + 360*u**2 - 141*u**2 + 4*u).\nAnswer: 219*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 125. Suppose 455 = -3*f - 2*w, -4*f - 5*w + w = 612. Let z = h - f. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1888 by -940.\nAnswer: -472\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10391 + -10408. Are o and -20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/35)\/(33\/(-63))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47393 - 30316. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.2 + 6. Let w = 6 + -5.6. Which is the third smallest value? (a) r (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:02 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 93 = -13. Suppose -4*b - n = 0, -s - 3*b - 2*b = 17. Solve s*q = 6 - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 2*t - 2*t)*(180 - 103 - 207 - 694).\nAnswer: -1648*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2\/(16\/4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.01 (c) 206 (d) -1\/82 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1. Let p(g) = 7*g + 21. Give -21*l(i) + p(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-96)\/18)*6\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 632, 910, 1176, 1424, 1648, 1842?\nAnswer: 2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 3. Suppose 0 = -2*x + s + 5, 3*x + s - 25 = -x. Suppose -d = x*o + 11, 3*d + 5 = 5*o + 12. Let n(u) = -u**2 - 1. What is o*j(t) - 6*n(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68138 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -531.874 - -1.\nAnswer: -530.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82 - -76 - (-3 - 3)) + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 3*i - 3*i. Let l(o) = -o**2 + 3*o - 3. Let v(p) = 2*p**2 - 5*p + 5. Let f(g) = 5*l(g) + 3*v(g). What is c(f(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 910866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 29562.15 to the nearest one hundred.\nAnswer: 29600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*v**3 - 88*v**3 - 27*v**3 - 43*v**3 + 382 - 58*v**3 wrt v?\nAnswer: -948*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffflfflffff.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 53*p - 4482. Calculate l(85).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*j + 116*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715 and 4.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.024 - -0.976. Which is smaller: u or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3 + c - 4 + 0. Let p = 19 - 13. Let k(m) = -2*m + 2. Let s(u) = p*b(u) + 2*k(u). Calculate s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30251\/8 - 211773\/56. Let n be 9\/6*(-1)\/(-3). Let q = -0.5 + -1.5. Which is the nearest to 1? (a) z (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-72)*(-2 + 3 + -4). Let g = 13 + -4. What is the closest to g in -0.4, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-36))\/((-9)\/(-18))*4\/(-35). Find s such that 2\/21*s**3 - 2\/7*s**2 - 2\/21*s + o*s**4 + 2\/21 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 4*f**2 + 2*f**2 + 1 + (f - 3*f + f)*(f + 2*f + 0*f).\nAnswer: -4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:35 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 126 - 40*k**3.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -366.4 - -53.4. Let g = -334.1 - x. What is g rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 10) to base 6\nAnswer: -1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660 by 5.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-38)\/(-8) - 3) + 1\/4. Suppose 0 = -2*u - b + 22, -r*u + 4*u - b = 30. Suppose 0 = -u*a + 12*a. Sort a, -1, -5.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 35. What is the smallest common multiple of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/3)\/((-12)\/146) and 1197\/1995*2\/6*-7?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + (sqrt(684) - (sqrt(684) + -5 + (sqrt(684) - (sqrt(684) + 0))))) - -1*2*(sqrt(684) + -4*(sqrt(684) + 0 - sqrt(684))))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -36. Let p(h) = -h**2 + 18*h + 363. Calculate the remainder when (6\/(-5))\/(3\/r) is divided by p(30).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - o**2 + 21 - 2*o**2 - 88 + 2*o to j*o**2 + x*o + t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37450\/25200 + (13\/156 - (-3)\/(-24))?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 13. Let m(j) = j**2 + 8*j + 1. Let a be m(-6). Let q be u(a). What is the highest common factor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6025\nAnswer: 6022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 6*y. Let w be f(5). Let t = -376 - -587. Let v = t + -210.9. Which is the second smallest value? (a) 1\/5 (b) v (c) w (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - -0.06. Let m = -282\/5 - -281\/5. What is the nearest to b in -3, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = l - 24, -12 = 3*l. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t + 46*t - 17*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5484\/(-3199))\/(6\/(-28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 12*u + 28. Determine q(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 3669*a - 21972. Calculate b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 + 4. Let w be a(3). Suppose 2*o + 0*b = b + w, 2*b - 19 = -o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -10. Let d be (-5)\/c*(0 + 10). Suppose -4*j + d*j - 4*p = 69, -4*p = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 4*b**2 + 6*b - 2. Let t be a(-5). Suppose -3 + 6 = h + 2*q, 0 = 4*h - q + 15. Let z = h - t. Solve -2*j = -d + z + 1, -5 = -4*j + 5*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*y**2 + 5*y**2 + 18 + 0*y**3 - 2*y**3 in the form s*y + u*y**3 + x*y**2 + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145684, -135744, -125806, -115870, -105936?\nAnswer: -96004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -4*s - 6. Suppose -60 = -s*a + i, -2*a + 5*i = -a - 6. Suppose c - 9 = -c - w, -5*w + a = 2*c. Solve 3 = d, 5 = -c*f + 4*d + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260544 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10517 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 67.66928ug?\nAnswer: 67669.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -792045561*l**5 + 222640*l + 97?\nAnswer: -15840911220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjhbbjggbbhbbqqb. Give prob of picking 1 q and 2 g.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, 107100, -1 in descending order.\nAnswer: 107100, 5, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 11, m: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 15. Suppose -4*o - 3 = -g*o. Find the first derivative of 7 - s**4 - o*s**4 - 8*s**4 + 7 wrt s.\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 7*g**2 - 14*g + 1. Calculate l(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/9 - 2*x**3\/3 - 188*x**2\/9 - 112*x\/3 = 0. Calculate x.\nAnswer: -7, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q**4\/7 - 87020*q**3\/7 + 318816*q**2\/7 + 695888*q\/7 - 579840\/7 = 0. Calculate q.\nAnswer: -2, 2\/3, 5, 7248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/30))**(-5\/12)\/((f\/(f**(-12)\/f))\/f)**(-6))**(-28) assuming f is positive.\nAnswer: f**(-39109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 68*r + 5. Let p(n) = -10*n**2 - 3*n + 49. Determine p(j(w)).\nAnswer: -46240*w**2 - 7004*w - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6*j - 2*g - 8, 2*j = -2*g + 8. Suppose -j*z - 2 = 5*i - 38, -2*i - z + 12 = 0. Solve i = 6*s - 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czvvzvzccvvvzcvz. What is prob of sequence vz?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 97, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -6*h - 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.095 + 3.095. Let q = z - 2.96. Which is the nearest to q? (a) 4 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 29 - 17. Does 8 divide (-3)\/l - (-7650)\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let i(h) = 10*h**2 + 15*h - 5. Let d(c) = 15*b(c) + i(c). Find the first derivative of d(n) wrt n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 93*q**2 - 406*q - 39. Calculate n(4).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 2*a - 7*a - a + 18.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**32*f)**(-24\/5)\/((f**(2\/33)\/f*f)\/f)**31 assuming f is positive.\nAnswer: f**(-22123\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61578 - -96811. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3389422 to the nearest integer?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 2609 - 5141 + 2598 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5759604995.\nAnswer: 5, 19, 1789, 33889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/24 - 5*g**3\/6 - g**2. Let d be s(0). Let v = 0 - d. Calculate the greatest common divisor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {m: 6, y: 3, j: 1, t: 1, b: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1662*a + 49*a**3 - 1662*a.\nAnswer: 49*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302112012 + 103?\nAnswer: 302112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 70014+31\nAnswer: 70045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -4. Which is the second smallest value? (a) 4 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1942, 1937, 1932, 1927, 1922?\nAnswer: 1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*p - 10 = 3*r + 183*p, 5*p = r + 18. Suppose 0 = -4*f - 2*k + 36, -3*k = -2*k - 2. Let t be -2 - f\/(-2) - 2. Solve t = -6*c + r*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 3916230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:20 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7627 - -4?\nAnswer: -7623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, z: 1, r: 2, k: 3, j: 3}. What is prob of picking 1 k, 1 j, and 1 r?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -5, -6, -751, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Let g = -5 + q. Let t = 15801\/7 + -2257. Which is the closest to -3? (a) g (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 255382169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21222)\/(-39) - 3 - 2\/13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 51, 51, 63, 93, 147, 231?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + 0 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 7) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1209)\/(-8649)*(-123)\/(-533)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -738.36 + 751. Round d to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 992*l**2 - 324*l**2 + 5*l - 4*l - l + 471*l**4 wrt l.\nAnswer: 11304*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x**2 - 83*x**2 - 31*x**2 - 40*x**2 - x**3 + 225*x**2 - 36*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4. Let c = s - 2. What is the second smallest value in -4, -1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65693 + 489*r**2 - 65693.\nAnswer: 489*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = 2*l - l, -k + 3*l = 12. Suppose k*p + 4*b - 112 = 0, 31 = 4*p + 2*b - 115. Suppose -5*x + 3*m + p = 5*m, -x - 4*m = 0. Sort x, -1, 3.\nAnswer: -1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + 2 - (-7 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 12:27 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 6028\nAnswer: 3\/6028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 1.2, -0.2, -106\/7?\nAnswer: -106\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) -2\/5 (c) 0.14 (d) 0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21431\/551 - (4\/(-19))\/2. Suppose 5*m = 5, -2*f + 158 = 2*f + 2*m. Calculate the highest common divisor of l and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10713*x**2 + 8893*x**2 - 4685*x**2.\nAnswer: 14921*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216665191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -3, 0, 19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -20. Let h be (4\/6)\/(z\/(-18)). Is ((-154)\/(-4))\/(h\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 v when three letters picked without replacement from {h: 11, v: 4, d: 3}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 17, p: 1}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 177916491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 + 12524\/(-31). Let w = 603 + c. What are the prime factors of w?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -3 (c) 5 (d) -551 (e) -2 (f) -1\/573 (g) -3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p. Let a(r) = 6944*r. Determine n(a(d)).\nAnswer: -48608*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a - 5*k, 0 = 4*a - 3*k - 0*k + 14. Let i be a\/(-4)*-1*0. Suppose m + 4*s + i = 11, -59 = -3*m + s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 7*c + 8. Let h be u(6). Suppose -6*b + 896 = -h*b. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -3330.12, 2, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 44. Let u be (11\/(-22))\/(s\/(-22)) + 0. Let i = 13 - u. Solve -z + i + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449830546, 899661094, 1349491642, 1799322190, 2249152738, 2698983286?\nAnswer: 3148813834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -27\/221621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -42250 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 40. Let c = 10 + m. Find the third derivative of -4*a**c + a**4 + 4 + 0*a**2 - 4 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13)\/((-52)\/(-56)))\/(-4 - -2). Let c(f) = -6*f + 53. Let a be c(7). Solve 0 = p*m - a - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 343, 344, 345, 346, 347, 348?\n\"Answer: h + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1307349352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5243.47 - 5243. What is the second smallest value in v, 1\/3, 2\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (sqrt(2299) + -5*sqrt(2299)*1 - (sqrt(2299)*1*2 - sqrt(2299) - sqrt(2299)))**2.\nAnswer: 36792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o**2 + 167*o - 167*o)*(12*o**2 - 5*o**2 + 0*o**2).\nAnswer: 77*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31379565?\nAnswer: 3, 5, 7, 298853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 - v**3 - 4*v**3)*(16*v + 24*v - 16*v) + (v**3 - v**3 - v**4)*(0 + 6 - 3) to the form x*v**4 + s + k*v**2 + p*v + i*v**3 and give x.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 6*a + 3 = 51 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2899*d**5 - 2088*d**4 + d**3 + 144203490*d**2?\nAnswer: -173940*d**2 - 50112*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9190 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 867785 + 378181. Let f(k) = 2984*k**3 + 1. Let r be f(-1). Let c = r + v. Round c to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/15*66\/55\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 84*g - 34. Let j(m) = -54*m + 23. Let f(b) = 8*j(b) + 5*r(b). What is f(4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49\/30 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, 9, 2 in descending order.\nAnswer: 9, 2, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*q + 8*q = -71, 4*q = -4*n + 64. Let x be (-168)\/(-20) + -1 + n\/25. Suppose 0 = x*d - 10*d + 284. What is the remainder when d is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19298.\nAnswer: 2, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 11*o - 20. Let p be q(-9). Let m = 290 + p. Solve -2*l + m = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193.251t in kilograms?\nAnswer: 3193251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -21, -40, -63, -90, -121?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 at least as big as 794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -33. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 17*v**2 - 42*v. Let b be j(14). Suppose b = -5*u + 3 + 197. Does 28 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17853 is divided by 17816?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 3\/((-6)\/4). Let z be -2*(0 + 3)\/p. Suppose -z*o + 3*o = 53. Round o to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1376 + 325 = 7*o. Suppose 4*t = 217 + o. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4270726 - 7?\nAnswer: -6.5729274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 60. Calculate the remainder when 105 is divided by t(24).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 801 and 6109583.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/((-23)\/161*(-2 + (-9)\/6))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14356496 - 0.037?\nAnswer: 14356495.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*r - 10869168 = -r, 0 = 4*r + 16. Let o = 1923062 + u. Let k be o\/(-1) + 0 + 2. Round k to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*i - 34 = 36, 3*i = -6. Let z = -25 + h. Suppose -5*s + 217 = -83. What is the highest common divisor of z and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-8))\/(5 + (-13)\/(-624)*-234)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one halves of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 18 + 1 + 115*x + 7 - 2 to u + i*x and give i.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/((-195)\/(-15)) - 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -1. Let x(f) = 2*f**2 - 14*f + 8. Suppose 0 = -41*h + 44*h - 21. Let d be x(h). Put 1, y, -1, d in decreasing order.\nAnswer: d, 1, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4429?\nAnswer: 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 - -8562977?\nAnswer: 8562878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -3\/2, 0.2, 808?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014 less than -1.137776?\nAnswer: -2015.137776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -679\/40 + 83\/5. Suppose -16 = 4*s - 4. Which is the second biggest value? (a) -0.1 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 4*d**2 + 4*d + 6. Let r be x(5). Let k(g) = 3*g - 1. Let j be k(r). Let c(u) = -u - j + 6 + 2 - u**2 - 2. Calculate c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 126\/7*((-4)\/(-30) - 339\/(-45)).\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 137 = -5*v + 36, 0 = -2*v - 5*o - 22. Let h(i) = -3*i**2 + 2. Let w(d) = -10*d**2 + 7. What is v*h(m) + 6*w(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 114\/798 - (1656\/(-14))\/(-2). Let s = 61 + k. Solve -2*z = -y - 3*y - 8, s*y = 3*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67\/28 + 15\/7. Let c = 76418 + -76417. Let h = -15 + 227\/15. Sort -2\/3, c, h, w in descending order.\nAnswer: c, h, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120332 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -125005 not equal to -125005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.74 - -5.4. Put s, -5, -0.3 in increasing order.\nAnswer: -5, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010100110101000 - -10?\nAnswer: -10010010100110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 8*u**2 + 17*u + 10. Let w be x(-10). What is the greatest common divisor of 60 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311 (base 4) in base 10?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 10:33 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 23650*x**2 + 165305*x.\nAnswer: 5*x*(x - 4723)*(x - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q + 23. Let w(i) = 5*i + 12. Suppose 0 = 14*c + 1018 - 864. Give c*w(k) + 6*y(k).\nAnswer: -k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110202201100 (base 3) to base 11.\nAnswer: 2929357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((33 - 65) + 18) - -44?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, z: 2}. Give prob of sequence zzk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/47929 and -10\/119?\nAnswer: 814793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 13*r**2 - 13*r - 20. Give k(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11.27, 4, -0.4, 2\/3, -2, 5\/171, 2\/11?\nAnswer: 11.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2523 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -u. Let t(y) = -u + 51050*y + 91579*y - 16628*y. Let v be t(5). What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 200*h**3 - 5*h**2 - 13*h + 45. What are the prime factors of v(4)?\nAnswer: 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32897.\nAnswer: 67, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18.6? (a) -3 (b) 0.5 (c) -0.0177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:46 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 661561304 divided by 17409508\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 45 - 3 - 78*x + 23*x + 43*x. What is the tens digit of s(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14911 is divided by 877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100295007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 283*t - 1052. Let j(a) = -a**2 - 285*a + 1050. Let f(v) = -5*j(v) - 4*m(v). What is the derivative of f(i) wrt i?\nAnswer: 10*i + 293","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2562560 divided by -260\nAnswer: -9856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -162765995?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24162, 48332, 72500, 96666, 120830?\nAnswer: 144992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/4428*41*8\/(-10)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -16 - 7*o + 5 + o. Let w be (12\/16)\/((-657)\/108 + 6). Let r(g) = -3*g - 5. Give w*r(m) + 4*j(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*r, -333*h - 27 = -336*h + 5*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 13) in base 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-497)\/(-21) - (-1)\/(1*3). Suppose 0*z - 2*r + 12 = 2*z, 4*z + r = j. Solve -z = 6*k - 9*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 divided by 136?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17123782, 17123784, 17123788, 17123794, 17123802, 17123812?\nAnswer: 17123824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 841277869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 14207837 and 83280.\nAnswer: 14291117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, -2, 14, 433, 2, -5 in descending order.\nAnswer: 433, 186, 14, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15100099 to the power of 1\/2, to the nearest integer?\nAnswer: 3886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) -2 (b) 0.5 (c) -1680 (d) -5 (e) 4 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 1 - -6*(-12)\/(-18). Let n(b) = -b**w - 9 + 23 - 13 - 5*b. Let h(l) = 1. What is -h(g) - n(g)?\nAnswer: g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 + 82*i - 8. Suppose -t + 32 = 3*u - 2*t, -3*u + 22 = 4*t. Is y(u) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24)*(5580\/(-217) - -30).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5781 is divided by 951?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 27 = -d - 10, 2*d = 10. Let u = g + 6. Suppose -p + 458 = -u*n + p, -134 = n + 4*p. Round n to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 4\/1012683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.8131417 rounded to the nearest integer?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 8. Let m be s(-4). Let w(p) = 12*p + 5. Is w(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46980 and 0.\nAnswer: -46980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21674614651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -42*t + 1. Let w(f) be the first derivative of -f**6\/360 - 2*f**3\/3 + 21*f**2\/2 + 113. Let q(r) be the third derivative of w(r). Determine q(c(m)).\nAnswer: -1764*m**2 + 84*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2\/7, -22, -5, 0.8, 1\/2 in descending order.\nAnswer: 0.8, 3\/4, 1\/2, 2\/7, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2184 or 2185?\nAnswer: 2184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12 + r + r**3 + 8 - 8*r**2 - 3. Let t = 6 + 2. Let p be x(t). Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735565671 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -78.\nAnswer: 14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-6) - 2)*-15. Suppose l - 6*l + y*u + 5 = 0, -2*l - 2*u = -14. Suppose -6*x + 5*t + 60 = -2*x, -l*t - 16 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -23 + (-25 - (-25 + 68)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1. Let o(u) = 32*u - 6. What is -4*i(h) - o(h)?\nAnswer: -32*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + y)*(5*y - 3 - 1 + 2) + (228*y - 30*y + 61*y)*(1 + 2*y - 1).\nAnswer: 528*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/299880 and 157\/117810.\nAnswer: 3298680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let z(h) be the second derivative of h**4\/3 + 10*h. Give s(z(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*21\/30*334\/(-3507)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20468, 20498, 20526, 20552?\nAnswer: 20576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1eba - 33?\nAnswer: -1eed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*u**2 + 156*u**2 + 7*u - 7*u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 65 = -2*b, 3*a - 19 = b + 6*a. Sort 4, b, 19.\nAnswer: b, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*r + 20, -r - i + 11 = -3*i. Is 9 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)*0\/(2*(9 + -11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let k(n) = -809078*n. Determine o(k(t)).\nAnswer: 1309214420168*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + -2))*-3 + -2 - (sqrt(1188)*2)\/((sqrt(176) + sqrt(44))\/sqrt(4)))**2.\nAnswer: -992*sqrt(3) + 11596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-4)*2\/20*(-3712)\/(-232)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2421170\/3 greater than -807056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = -u + m, 5*m = 5*u - 20. Let x = -9 + 15. Suppose -k + x = 2*k. What is the remainder when u is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(30*i - 12 + 19 - 7)*(87*i + 2*i - 9*i).\nAnswer: -4800*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**2 + 61*m - 1. Let n(g) = -8*g**2 - 61*g + 2. Let t(l) = -3*f(l) - 4*n(l). What is the hundreds digit of t(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 = -u, -4*u + 0*u - 20 = -5*y. Solve y*f + 5*f + 7 = 4*q, -9 = -2*q - 3*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30699018 to the nearest integer?\nAnswer: 5541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 2. Let n = h - -3. Let z = n + 6. Put z, -5\/4, -4 in descending order.\nAnswer: z, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrbkbkbpbpbkbrybyb. What is prob of sequence kbk?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2851*n**2 - 1 + 1434*n**2 + 1423*n**2 in the form j*n**2 + z*n + a and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, a: 3}. What is prob of sequence axax?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9*6)\/(-8 - -6). Suppose -4*t + 36610 = -n*r, 2*t - 7*r + 11*r - 18290 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b + 57. Let i be d(-5). Suppose -4*k + 24 = -i*k. Solve -30 = -k*m + 18*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 5391837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/3 + 32*m**4 + 568*m**3\/3 - 27776*m**2 + 753424*m\/3 = 0.\nAnswer: -62, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232403?\nAnswer: 277, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5175477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 2*h**2 - 6*h + 7. Calculate d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16061440607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14100 (base 5) to base 10.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/(-77*(-4608)\/(-7056)).\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -690, -740, -750, -720?\n\"Answer: 20*q**2 - 110*q - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 14*w + 8*w)*(-6*w**3 - 3*w**2 - 18*w**2 + 23*w**2).\nAnswer: -72*w**4 + 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 18*p - 10. What is d(-22)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 514973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*c - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 68*f + 375 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4 + 0 - 5 - 2*u + 3. Let p be y(-5). Suppose 10 = -2*j + p*j. What is the greatest common factor of 15 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -41*r + 46. Let c(d) = 2*d. Determine m(c(g)).\nAnswer: -82*g + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 329 + -324. Suppose j*y = -5*c + 190, 2*y + 6 = -y. What is the greatest common factor of 100 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1612031054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 586.229446787427 and 0.3.\nAnswer: 586.529446787427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*d - 4*d = 1144, 0 = -3*g + 3*d + 696. Suppose -10*m = -3748 + g. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7113 + -1885. Is o a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = -2*u - 319*w + 109*w + 161*w, -4*u = -3*w + 89 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135032 is divided by 90?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12498565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102) + sqrt(102)*2) + -3*((sqrt(102) - sqrt(102)*-1) + sqrt(102)))\/((((sqrt(24)\/sqrt(2) - sqrt(12)) + sqrt(12))*-4)\/sqrt(2)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:37 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from sfafgggtgfbstbfbgg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*o)*((o**3 - 2*o**3 - o**3)*(-1 + 1 + 4*o) - 3*o**4 + 5*o**4 - 3*o**4 + 0*o**3 - o**4 + 3*o**4 + o**3).\nAnswer: -28*o**5 + 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -15. Let q be 184\/g*(-3 + 1). Suppose -q = -5*l - 8. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65243200 and 9773.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 426*m + 3080.\nAnswer: -2*(m - 7)*(m + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 2. Suppose 2*o = 82*w - 87*w + 55, 2*o = -2*w + 16. Suppose 5*m + 7*r - r = -w, 2*r = -3*m - 3. What is the second biggest value in -7, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:09 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:12 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 0, -4*r - o = 19 + 6. Let w = r - -8. Suppose -11 = -w*g - 3. Calculate the greatest common divisor of g and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -55. Solve n = 3*y + 2*y - o, 0 = 2*o + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**3\/6 + 13*g**2\/2 - 8*g. Let j be z(-11). Solve -a + 4*a + 5 = -2*u, -j*a + 2*u = -10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11075670 times 1\nAnswer: 11075670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12530 and 5287660.\nAnswer: 5287660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110100100000101100111 (base 2) to base 9.\nAnswer: -7158064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -842*q**4 - 2*q**3 + 281*q - 512407713 wrt q?\nAnswer: -3368*q**3 - 6*q**2 + 281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1 (c) 4 (d) 1\/5 (e) -1471\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 452.5 times -0.0586?\nAnswer: -26.5165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11438833806 + -0.3.\nAnswer: -11438833806.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2452564616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/(-9) - (-2 - 163). Is 1310*(144\/r - (-2)\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -1. Suppose n*d - 56 = -21. What is the units digit of 1 + 2\/(-2) + d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3120 - 3*n**2 + 181*n - 533 + 0*n**2 - 181*n.\nAnswer: -3*n**2 + 2587","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o = 5. Calculate the remainder when 2 - o - 8*-1 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 + 20*g**2 - 20*g**2 + (-2*g**2 - 3*g**2 + 7*g**2)*(0*g + 2*g + 0*g) + (7 + 4*g**2 - 7)*(2*g - 3*g + 0*g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6 (c) 0.3 (d) -38\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frrxr. Give prob of sequence rfx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -790.09 + 782. Let m = l - 2.01. Round m to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Suppose 2*t + 0*t - 5*j - 8 = 0, 0 = -a*j. Suppose 0 = k + t - 112. Calculate the greatest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -11*p**6\/120 + 2*p**3\/3 + 5*p**2. Find the first derivative of s(o) wrt o.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88902 + -29.29\nAnswer: 88872.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -83, -5, 0.2?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12297 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444872 is divided by 71?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y + 34. Calculate u(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108681 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 = -8*z + 3*z, 2*b - 5*z + 3 = 0. Let o be -3 - 24\/b - 1\/1. Solve -4*i + 2*g = -0*g - 26, 0 = -o*i - 3*g + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-53)\/(-11)*5\/(-10) and 71\/9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8340499 and 26009?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19330740 and 5940.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002497 rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 52.86 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 32*v**2 - 34*v + 40. Let i be u(33). Suppose -i*l - 5*l = -4620. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001243591 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2157438 * 4\nAnswer: 8629752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97590, 195181, 292772, 390363, 487954?\nAnswer: 585545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6144 and 3732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 6*n - 6. Let j be q(7). Let r = 0 + j. Let h be 5\/9*10\/(-25). Which is the closest to 1? (a) r (b) -1\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - w = -265, r - w = 3*r - 133. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43464035*f**3 + 32335595 wrt f?\nAnswer: 130392105*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5338491 divided by -1.\nAnswer: -5338491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 7) + -2 + 3 - -8) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 80*o + 75*o = 13, 2*c = 4*o + 16. Let a = 5\/13 + 3\/26. Solve 0 - 1\/4*y**c - a*y = 0 for y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233.13 + 228. Let m = t - -0.13. Let x = -181485\/152 - -9551\/8. Which is the third biggest value? (a) x (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 753471 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 10:54 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34373, -68119, -101881, -135665, -169477, -203323, -237209?\nAnswer: -271141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 - 121208 - 121184 + 242392.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4 (c) 1\/4 (d) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. What is the second derivative of -2*j + j - 3*j**2 + k*j**2 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 7479931.9\nAnswer: 14959863.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/17 (c) 256.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -90, -150, -230, -336?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:55 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5360)\/1675)\/((-2)\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c + 60*c + 10*c.\nAnswer: 103*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 - 1726\/11. Calculate the common denominator of z and ((-20)\/(-11))\/(2\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 minus -7741.414889?\nAnswer: 7741.440889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*r = 14, -2*r = -i - 0*r + 10. Suppose -3*x + 63 = -0*x. Suppose -i*h = h - x. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -2 - -5)*5. Suppose b*d = 8*d + 9. Let k = 6 - d. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 6. Let r be w(8). Let a be (5 - r) + -4 + 1. Suppose a*m + 25 = 5*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + (-84)\/24. Let b be 1 - -21 - k\/(-2). What is the greatest common factor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5311928015?\nAnswer: 5, 47, 223, 101363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(sqrt(1216) + 0) + (sqrt(1216) - (sqrt(1216)*-1 + 1))))**2.\nAnswer: -320*sqrt(19) + 121604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 3445385 - 3445385.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*b**2 + 3*b**3 + 9*b - 1 + 8*b**3 + 23*b**2 as m*b**3 + z*b**2 + l + i*b and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33.2 in 4\/9, -1\/7, 0.56, 0.2, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 523 - 367. Let s be 128\/d - 4\/6. What is the closest to -1\/2 in s, -5, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 756*b**2 + 759*b.\nAnswer: -3*b*(b - 1)*(b + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25389 is divided by 1154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 561.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, e: 8, y: 2, i: 1}. What is prob of picking 1 y and 1 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.295 times 1.12\nAnswer: 0.3304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {r: 1, k: 1, h: 1, v: 1, g: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 179330418535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -431 from -0.465573240239.\nAnswer: 430.534426759761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 710 - -22. Does 52 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:12 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 5, w: 3, b: 4, i: 1}. Give prob of sequence nw.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -19. Let l be 45\/(-9)*1\/p. Let j(r) = -r - 1. Let b(t) = -7*t - 5. Give l*j(d) - b(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3883*v**2 + 72*v + 176. Let h(x) = -863*x**2 + 16*x + 40. Give 22*h(z) - 5*u(z).\nAnswer: 429*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(11\/(-3) - -3). Suppose -a*x - 2*x + 15 = 0. Suppose -2*r - w + 21 = 0, w = -x*r - 0*w + 30. Calculate the lowest common multiple of 1 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1060?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13679 + 13894. What is the highest common divisor of f and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 731*c + 1414. What is t(-2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -25*s**3 - 2*s - 2. Let v be h(-2). Suppose 11 = 2*g - 25. Suppose -5*b = -v - g. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3*q)**(11\/2))**(8\/11)\/((q**(1\/4)\/q)**(-1))**(-2\/7) assuming q is positive.\nAnswer: q**(227\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10549648013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2575095 millilitres in litres?\nAnswer: 0.0002575095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 72?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (-4)\/3*(-105)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2363879, 2363902, 2363925, 2363948, 2363971, 2363994?\n\"Answer: 23*w + 2363856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -370.\nAnswer: -1\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:38 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 728.75063782.\nAnswer: 731.75063782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -g + 20, -276*g + 278*g = -10. Let d(w) = -w**2 + 6. Determine d(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 153 - 57 - 57 - 47. Let b(j) = -24*j - 66. Let k(v) = -4*b(v) + 33*d(v). Let f(q) = -4*q**2 + 1. Calculate k(f(x)).\nAnswer: 12*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*x - 0*x + 21, -4*a = 2*x - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67078 and 1664754.\nAnswer: 18312294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0804*0.5\nAnswer: 0.0402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-4)\/(-18))\/((-4)\/56*1708\/13176)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let h = -87 - -129. Let k(d) = h + 2*d**2 - 117 + 55. Determine p(k(w)).\nAnswer: 2*w**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 267950?\nAnswer: -267944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 + 36*j - 362*j in the form o*j + m and give o.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 248.06\nAnswer: -248.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -8\/383, 4, 5.085?\nAnswer: -8\/383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 10, -7923 in descending order.\nAnswer: 10, 5, 1, -7923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k. Let a(j) = -j. Let p(l) = -4*a(l) + x(l). Let g = -269 - -271. Let t(m) = m**2 + 12*m**g - 12*m**2. Determine p(t(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36868196 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4834*a**4 - 2105*a**2 + 3 wrt a.\nAnswer: 116016*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5011 is divided by 133?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 0.32. Let k = -0.12 - 0.58. Let u = k - x. Put u, -3, 5 in increasing order.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:40 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.58 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2078\/7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1487*n - 10532. Calculate the least common multiple of 527 and v(8).\nAnswer: 23188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than -1.99387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*u = -44, 4*u - 46338 = -10*q - 46494 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/366143 and 27\/1405?\nAnswer: 1830715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -18016579?\nAnswer: 18016574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**5\/60 + 6*t**2. Suppose -12 = 5*a + 3*v, 13 = 5*a - 3*v + 1. Calculate n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/30 - 2*k**2. Let u(q) = -2*q. What is u(f(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/l)\/l*l)**(5\/11)*l\/(l*l**(-3\/7)*l)*l**1*(l**9\/l**(2\/5))\/(l**1\/(l**5*l*l)) assuming l is positive.\nAnswer: l**(22619\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 665*z. Let m(n) be the second derivative of 2*n**3 - 3*n - 1454. Give g(m(s)).\nAnswer: 7980*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 113, -1218, -5405, -13876, -28059, -49382?\n\"Answer: -238*l**3 + 335*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/4 - n**3 - 2*n. Let f(v) = -2*v**2 + 13 - 13 + 5*v. Determine -4*c(g) - 5*f(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 4 + 62*h**2 - 14 - 60*h**2 - 7.\nAnswer: 2*h**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310255100 (base 6) to base 12.\nAnswer: -1957490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - k - 1. Let v be c(-1). Suppose -s + 2 = -3. Let m = -3 + s. Calculate the greatest common factor of v and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*q = 15917*q + 118042 + 198560 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = c, 2*c = 4*w - 5*w - c - 52 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g - 8*g - 23 - 2*g + 0*g - 4*g.\nAnswer: g - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.79 - -2.8. Put d, -0.4, 0.5 in increasing order.\nAnswer: -0.4, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*s - 382 + 26*s - 57*s to the form a + i*s and give a.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(275) + sqrt(275) + -2 + sqrt(275) + 1)**2.\nAnswer: 30*sqrt(11) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -5*k + 156. Solve -4*w - 3*n - 15 = 0, -k*w - 3*n - 11 = 2*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 6. Let a = 3 - 2. Calculate the lowest common multiple of a and i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 7. Let v be p(4). Suppose 0 = 28*u - 25*u - 3. Sort -3, v, u in descending order.\nAnswer: v, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -809, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 5 = -5*i. Calculate the lowest common multiple of (0 + -2)*(i - -2) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvvavzvva. Give prob of sequence zvq.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 2, -1\/6, -4, -14 in descending order.\nAnswer: 2, -1\/6, -4, -14, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -489*31\nAnswer: -15159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1780, 0.5, -0.4 in descending order.\nAnswer: 1780, 0.5, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c + 31*c - 2*c - 34. Let u be l(17). Suppose 2*g = 1426 - u. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-14)*1316\/282. What is the biggest value in n, -3, 3, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*z = 3*m - 213*z - 15, -2*z + 20 = 4*m. Let k(g) = 2*g**3 + 3*g**2 + g - 2. Let d be k(-2). Put d, 2, m in descending order.\nAnswer: m, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -356491.0656 - -0.0754.\nAnswer: -356490.9902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6 - 18 + 37*n + 5*n + 9 in the form a*n + g and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**3*n**2 - 1016*d**3*n - d**3 + 2*d*n + 176*n**2 wrt n.\nAnswer: -10*d**3 + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 840611148 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a factor of 600832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15048.21 - 14988. Let z = -60.071 + 0.071. Let t = u + z. What is the smallest value in -0.4, -0.3, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207820.\nAnswer: 2, 5, 7, 11, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 430\/14301 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -24*j**2 + 18*j + 7. Let b(n) = 23*n**2 - 15*n - 6. Give -6*b(i) - 5*f(i).\nAnswer: -18*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -81*l**3 - 5*l**2 - 4*l + 2. Let w(u) = 80*u**3 + 7*u**2 + 5*u - 3. What is 2*w(j) + 3*x(j)?\nAnswer: -83*j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.595704 years in months?\nAnswer: 55.148448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2869 + 4*h**4 + 5*h**2 - 2856 - 83*h - 7*h**2 + 5726 in the form r*h**3 + g*h**2 + p*h + u*h**4 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -162*c**5 - 1206*c**4 + 5968*c**3 - 4304*c**2 - 2848*c - 352 = 0.\nAnswer: -11, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:29 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 8:06 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10663 is divided by 10661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 + -1)*(4*136 + -1). What is m rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 39 - 8)*(g + 3 - 3 + (0 + 1 + 0)*(-2*g - g + g))*(-3 - 2*g + 2*g + 2*g**2).\nAnswer: 66*g**3 - 99*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/63 - (0 - (-60)\/27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(52) + sqrt(13))*3 + -2)**2.\nAnswer: -36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/3, -4, -168522?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18 and 3814390.2611?\nAnswer: 3814372.2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 22686076 and -76 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-40))\/((-12)\/48 + 1). Which is the second biggest value? (a) 1\/29 (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 53 = -2*o, 0 = -t - 4*o + o + 20. Suppose 12*l = t*l - 1345. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-42))\/10 + 4\/(-12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z + 6. Suppose -5*o + 91 = z*o. What is the second derivative of -25*v**4 + o*v + 25*v**4 - 6*v**5 wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/240 and -97\/104?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 + -113.0235. Let u = 34 - 33.987. Let s = r + u. Round s to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iininddnieidddiei. What is prob of sequence nn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/(-42) - (-64)\/112 - (-9)\/2. Solve 3*x + 6 = -r*w - 1, -3*w - 5*x - 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3. Let v(t) = t**2 - t. Give u(r) + v(r).\nAnswer: r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = i, 0*i = -3*t + 2*i - 10. Suppose 5*r = -t*r - 90. Let o be ((-1)\/3)\/(6\/r). Solve -4*z - o = 3*b + 2, 2*z + 12 = 2*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times -46?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4)*g*g)\/(g**(3\/2)\/g))\/((g\/g**7)\/g**(-2\/15)) assuming g is positive.\nAnswer: g**(371\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/18 and 79\/330.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven fifths of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 334381, 333467, 331943, 329809?\n\"Answer: -305*g**2 + g + 334685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 34 - 4. Does 36 divide (-300)\/c*(-36)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92\/3 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -43*m**2 - 2*m + 6. Let r = 36 - 39. Let t be a(r). Let k = t + 1184. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767756149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1776 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.31 (b) -50 (c) 0 (d) 4 (e) -62 (f) -3\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2377, -2, -5, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/((-32)\/12) - (0 + -163).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, p: 1, z: 1, l: 1, y: 3}. Give prob of sequence la.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10757*n - 494281. Calculate b(-46).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, -65, -2\/35, -4, 4, -0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -166, -229, -276, -307, -322, -321?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 663*p + 18 = 666*p, -2*i + 2*p = -8 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - 6) + -1 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4508\/(-126) - (190\/45)\/19?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1277 - -2347. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 22, 64, 122, 196?\n\"Answer: 8*t**2 + 2*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*b = -63*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.3 - 9.2939. What is q rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 + (-4 - 1))\/(98\/28). Solve 0 = 2*a + 8, 3*q - d = 4*a + 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -984*a + 2. Let i(m) = -28102*m**2. What is s(i(k))?\nAnswer: 27652368*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 3*g**2 + 113*g**3 - 12*g**3 - g**2.\nAnswer: 101*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 1\/3*z**3 + 0*z**2 + 0*z**5 + 2\/3*z**6 + 0*z**4 - 6 + 0*z. Find the third derivative of m(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 7*a**3\/6 - 367*a. Let h(u) = -u**2. What is h(n(b))?\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 11\/32, 1\/300, 5?\nAnswer: 1\/300","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 921*b + 339*b + 2 + 344*b + 350*b as w*b + r and give w.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x - 5. Let q(n) = n**2 - 14*n + 14. Give -4*q(j) - 11*u(j).\nAnswer: -4*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 382, 782, 1182?\n\"Answer: 400*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*j + 238, -27*j = 3*r - 23*j - 230. What is the remainder when r is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.439 + 34.31. Round m to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -31*h**9\/252 + 79*h**5\/60 + h**2 + 91. Let n(g) be the second derivative of y(g). Find the third derivative of n(c) wrt c.\nAnswer: -7440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o + 1956 + 4364 = -239*o + 30*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 10*o + 7. Calculate m(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1852)\/86118)\/(((4\/(-6))\/1)\/2)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqww when four letters picked without replacement from {q: 4, w: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 9*u**3 - 6 - 2*u**4 + 0*u**4 + 1822*u**2 - 1823*u**2 to j*u + a + x*u**4 + y*u**3 + s*u**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - b)*(-b + 0 + 0) - 540 + 540 + 16*b**2 to k + y*b**2 + r*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + c = 53, 16*k - 18*k + 34 = -2*c. Solve -2*d + 3*d - 9 = 3*r, 2*d - k = 5*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 2:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxu when three letters picked without replacement from zurzrxudxdrurdxr.\nAnswer: 9\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 32693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26663 and 34580.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75465667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/7)\/(x\/((x*x**15)\/x))*x**(-1\/12)*(x\/(x*x**(11\/5)))\/x assuming x is positive.\nAnswer: x**(4621\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-306))\/((-12)\/(-27)*(-69)\/(-92))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) 9 (c) -2\/5 (d) -230 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -3. Suppose 22*v - 28*v = 306. Find the common denominator of i and 105\/35*((-48)\/v + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + 0.22. What is the nearest to 1\/3 in r, -0.5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/20017?\nAnswer: -2\/20017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 + 4. Let y = -19 - -62. Let w = -45 + y. Let l be m(w). Let x(h) = h**2 + 10*h + 12. Give x(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 332, 3\/7, -24 in decreasing order.\nAnswer: 332, 3\/7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 184 - 154. Find the third derivative of 16*w**3 - 3*w**3 + k*w**2 + w**3 wrt w.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**2\/2 + 6*q - 32. Suppose 5*k = 3*h - 2*h - 25, -h - 5 = 0. Give u(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22 (b) -0.3 (c) -0.01 (d) 1 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.3 (c) 4\/7 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1025*n**2*v**5 + 3284*n**2*v**4 - 3*n**2*v - 56848073*n*v**2 wrt v?\nAnswer: 61500*n**2*v**2 + 78816*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 96324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*y**3 + 22*y**2 - 22*y**2 + 2*y wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27848\/19 + 472\/19*m - 2\/19*m**2.\nAnswer: -2*(m - 118)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001 (base 6) to base 7.\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*h + 2*h, 3*h + 6411 - 6422 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252856278 and 5364?\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 757\/8 - 93. What is the common denominator of (-18)\/(-8 - 2 - 1) and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3 + 4848*d**2 - 2*d - 14218 wrt d.\nAnswer: -3*d**2 + 9696*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-3))\/(6\/45). Let m be 8\/20 + 4\/u. Suppose m*y = y - 4. Calculate the greatest common divisor of y and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660964 and 298.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9162 + -6167. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/21, 12, -0.1, -24, 0.28, 10 in decreasing order.\nAnswer: 12, 10, 0.28, -0.1, -4\/21, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 146 = 5*p + 3*m, -3*p - m + 80 = 0. Let s = p + -4. Suppose -3*j - s = -3*i, -j = 5*i - 2 - 14. Solve 5*u + 1 + 1 = 4*b, i*u = 3*b - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2907352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + (sqrt(176) - 3*sqrt(176)) + -2))**2*-4.\nAnswer: -104976 - 11520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -8, -23, -46, -77?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - (-110)\/30)\/((-5)\/10245) is divided by 168.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.01, -3\/4, 1, 0, 0.1, -4, -10\/18109?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v = 69*v + 45 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 52492*o**3 - 19*o + 20. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*y**3 - 8*y + 39*y**2 + 7*y**2 + 25*y**3 + 10*y**3 - 184 + 3*y**3.\nAnswer: 2*(y - 2)*(y + 2)*(y + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 22 = -5*r - 28, -r + 17*f + 14*f + 21*f = 35*f + 42 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166529581 to the power of 1\/3, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2890 and -47\/5865?\nAnswer: 199410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzwdzzwzizzzi. Give prob of picking 1 i, 1 w, and 1 z.\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 - 0 - (-15 + 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-65)\/39).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10)\/(14\/4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2512891400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 4*z**2 + z + 2. Let j be (5 - -1)*1\/3. What is y(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 351 + -208. Suppose 12*u + 441 = -339. Let j = n + u. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.98005km in micrometers?\nAnswer: 29980050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(9\/(-30)*56\/28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-236*f**3 + 484*f**3 + 23*f**3)*(-1 - 7 - 14 + (-1 + 3 - 3)*(1 - 2 + 3)) in the form x*f + q + u*f**2 + l*f**3 and give l.\nAnswer: -6504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 75 - 5. Let c = -12 + y. Suppose 0*m - 1410006 = 3*b - 2*m, c*b - 4*m + 1880012 = 0. What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 411. Let r be (1 + -2)\/((-6)\/q). Let o = 43 - r. What is the lowest common multiple of o and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87244988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*w - 2 + w**4 + w + w**2 - w**3 - 9*w**2 - w**2 to v*w + x*w**3 + m*w**4 + l + j*w**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 212103 (base 5) to base 7\nAnswer: 26566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2. Let l(x) = -11*x - 4. Calculate t(l(i)).\nAnswer: -605*i**2 - 440*i - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - c - 13 = -4*s, 10 = -2*c. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2157 and -29\/33975.\nAnswer: 24428025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399607?\nAnswer: 13, 59, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 30 = 5*q, 8993*q = -3*p + 8995*q - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-42) + (18\/90 - (-15)\/(-450))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -6*t + 4*t + 18, -4*w = 4*t + 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7)\/i*i*i\/i**(1\/5))**15\/(((i\/(i\/(i**(-7\/5)*i)))\/(i**(-4)*i))\/((i**(5\/4)\/i)\/i**(2\/7))) assuming i is positive.\nAnswer: i**(411\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**2*p**2*x**3 + 5*f**2*x**3 + 20*f**2*x**2 - 12*f*x**3 + 3*f*x**2 - 2*p**2*x wrt x?\nAnswer: 30*f**2*p**2 + 30*f**2 - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100100110 + 100110?\nAnswer: 11110101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 20*i + 1354. Let b be j(0). Suppose 4*x - 57 - b = -d, 4*d - 349 = -x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + b = -275 - 120, 285 = 2*z - 5*b. List the prime factors of z.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(1 + 36 + 6)*(-w + 0*w - 8*w).\nAnswer: 1161*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 37, 39, 41, 43?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -296. Let i = h + -214.99579. What is i rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(84) + sqrt(84) + ((sqrt(84) - sqrt(84)*-3) + sqrt(84))*-1)*4)\/(sqrt(108)\/((sqrt(9) + sqrt(9)*-3)*2)).\nAnswer: -288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000466 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q + 0*q)*(-20*q + 59*q - 18*q) + (-2*q + 3*q + 2*q)*(-q - q - q) - q**2 + 3*q**2 - 3*q**2.\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 252941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 3 = -5*x + f, -x + 5*f = -1. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 23*n - 10576. List the prime factors of n.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8340.\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or -0.034?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = 3*j + 24. Let x be 4\/14 - j\/28. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 10. Let c = g + -6. Suppose h = -h + 24. What is the remainder when h is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -2, 0.01, 29\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 1293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2365 + 3450. Suppose 0 = 5*i + 2*i - a. Is i greater than 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -7*p + 4*d - 77 + 13, 4*d = -8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 18. Calculate m(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/2700*-170*6*(-5)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 4*a = -58, 5*w + 5*a = 50. Suppose 0 = -2*p + 2*o + 14, 4*o - 3*o = -2. Solve -4*t - 4*h = 1 + 7, -h = -p*t + w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 + 18*s + 796. Is 14 a factor of o(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2621, -2622, -2623, -2624?\nAnswer: -2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 + 3212*l**3 + 1339824*l**2 + 40190516*l + 216779150 = 0. Calculate l.\nAnswer: -787, -25, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 divided by -163899?\nAnswer: -269\/163899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332*w**2 - 3299*w + 3299*w)*(-13 + 0 - 39).\nAnswer: -17264*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clel when four letters picked without replacement from {l: 2, e: 5, c: 2}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - 0.2. Let i = u - 0.18. Let n = 1.3 - 1. Which is the third smallest value? (a) i (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*j**2 + 55*j**2 - 313*j**2 - 310*j**2 + 1187*j**2 - 305*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 31\/(-2))*-2. Suppose -6*h = -h + 4*g + s, -3*g - 12 = 0. Let x be 3 + (6\/h)\/(-1). Solve -40 = x*y - 3*o, 0 = -y + 2*y + o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23455 take away -11725.9183?\nAnswer: 11726.15285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619639*q**2 + 1239276*q**2 - 619609*q**2.\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 - 11 = 0. Suppose 10*f - 244 = -164. What is the lowest common multiple of d and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 727 and 7729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 65. Suppose -3*g - 2*g = -120. Suppose 69*x = 61*x + g. Calculate the smallest common multiple of j and x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2. Let z(c) = 5*c - 6. Let i(x) = 9*x - 11. Let h(v) = 6*i(v) - 11*z(v). Calculate a(h(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, 2, 0.05, -1\/4 in descending order.\nAnswer: 2, 0.05, -1\/4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-848)\/(-4) - 0\/(-2). Suppose r = 5*c + 52. Suppose -2*s + 4*s = c. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-2) + 1*8\/(65768\/(-32883)). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, f: 8}. Give prob of picking 3 f.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from fufffefwmfeffulefu?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n + 28*n + 109 - 712 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n - 2*n + n + 4*n - 3*n + (1 + 0 - 8)*(-2 + 2 + 4)*(0*n - 2*n + 3*n))*(-1 + 1 + 3).\nAnswer: -72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427550 is divided by 224.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.3168 rounded to 1 decimal place?\nAnswer: -114.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2 + 6. Suppose -f*m + 4*m + 4 = 0. Are m and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -9*b**8\/112 - b**5\/20 + 27*b**2. Find the third derivative of n(i) wrt i.\nAnswer: -1620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -5*d**3\/3 - 21. Let x(c) = c**2. What is -2*n(j) - 9*x(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-6) + (-117947)\/79790 and -59\/202.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5\/7 + 54*a**4\/7 - 1398*a**3\/7 + 3492*a**2\/7 + 2997*a + 16038\/7 = 0. Calculate a.\nAnswer: -33, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 44\/5 of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:46 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**4 - 19510*j**3 + 1617620*j**2 + 17947510*j + 16310385 = 0.\nAnswer: -3983, -9, -1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 245\/15 + 64\/24. Is -79 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*g - 2, 8 = 20*l - 24*l + 5*g. What is the common denominator of -115\/6 and 6 - (l + 639\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*i + 3*s, 4*i - 8 = -5*s - 29. Let t = -2 + i. List the prime factors of ((-8)\/3 + 2)*(-40 + t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 28*a**3 - 5492540*a**2 - 32955348*a\/7 - 7061868\/7 = 0.\nAnswer: -3\/7, 196163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.4 (c) 2\/21 (d) -7 (e) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 85 = -5*c, -c + 0*r = -5*r - 43. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 3. Let t be h(3). Let o be (28\/t)\/((-2)\/15). Let a be -1 + (2\/2 - -7). Calculate the highest common factor of o and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 364*p**3 + 1116*p**2 - 1124*p + 376.\nAnswer: -4*(p - 1)**3*(p + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 2, -181301 in ascending order.\nAnswer: -181301, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 81*a = -79*a - 19938, 2*a + 3978 = q. List the prime factors of q.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaihhaaiii. What is prob of picking 1 i, 1 h, and 1 a?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 8:21 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 14 = 74 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w - 511 = 3*w - 35*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -14 + 2*b - 5 + 12. What is s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1577, 2852, 4135, 5426, 6725, 8032, 9347?\n\"Answer: 4*y**2 + 1263*y + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13366 from 5.\nAnswer: 4.86634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 41*c - 65. Let w be g(-31). What is the highest common factor of 140 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 6*-1*sqrt(133))\/sqrt(7))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 1, w: 2, g: 1}. Give prob of picking 1 u and 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*g - 61. Suppose -g*p = p - 64. Solve -l + 4 = -2*f, -2*f = 3*l + 2*f + p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2021? (a) -3\/7 (b) 1 (c) 1\/489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -10. What is the remainder when (2 + 0)*14\/2 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219338506?\nAnswer: 2, 313, 350381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 25770 - 68061 = 0. Let z = -21097 + n. Round z to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a micrometer in nanometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 35 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-8)*p*p*p\/(p*p**(-1))*(p**(1\/6)*p*p)\/p**10)**(-41) assuming p is positive.\nAnswer: p**(-1271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 283*h - 3301. What are the prime factors of f(56)?\nAnswer: 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 + 217.5. What is the smallest value in a, 10\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -317, -295, -341, -491, -781?\n\"Answer: -6*y**3 + 2*y**2 + 58*y - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.21502 + 0.78498. Let x = 17.4 + -91.4. Put -0.5, x, -2\/7, k in increasing order.\nAnswer: x, -0.5, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98236295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*j + 124, 5*j + 4*m = 102 + 118. Let g = 114 - j. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -5510, 10, 0.2 in increasing order.\nAnswer: -5510, 1\/8, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 3379376.167?\nAnswer: 3379381.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-209)\/(-44) - (-8419)\/(-1740) and -61\/2436.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Which is the second biggest value? (a) m (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 - 26*s + 704. Determine n(21).\nAnswer: -2047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 9. Let s be f(4). Suppose 9 = 6*d - s*d. Let q be (d\/(-2))\/(18\/8). Is q < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38761*a - 10426*a**3 + 38761*a.\nAnswer: -10426*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3713 and 85506677?\nAnswer: 3713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 9, 0*s - 4*r - 5384 = -2*s. Suppose -5*w + 44 + s = 0. List the prime factors of w.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 2 + 14 + 2 + -29?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 + x**2 + (1 - 1 + 6*x)*(27915 - 27915 + 141*x).\nAnswer: 847*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -19654130?\nAnswer: 19654129.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -184*y - 195.\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xxaxaxxxxxxxx?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.3 - -2.3. Sort 5, g, -1 in ascending order.\nAnswer: g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:04 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyyjjtteecny. What is prob of sequence cnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4746443?\nAnswer: 13, 233, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Let x(f) = 6*f - 37. Let l be x(6). Let y = -0.1 + 0.2. Which is the nearest to 3? (a) y (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qenennn. Give prob of sequence nee.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184 - 22*m**2 + 184 + 7*m to the form h*m**2 + s + w*m and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41339 = -3239*c + 3856*c for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 89. Suppose r + 2 = n. What is the hundreds digit of (-476)\/(-1 - (n - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(5*sqrt(14)\/sqrt(2)) - sqrt(10)\/(sqrt(15)\/sqrt(3)*-3).\nAnswer: 8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-338)\/(-1014)*(-12)\/(-46).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 40*g - 48. What is the hundreds digit of y(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1 + (-18)\/(-18). Suppose 2*k - 16 = -2*k. Solve -j*w = -3*r - 0*r, -3*r = k*w + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -79, -171, -321, -547, -867, -1299?\n\"Answer: -3*p**3 - 2*p**2 - 25*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5.6. Let z = 38 + -192\/5. Let i be 118\/177*(-30)\/4. What is the nearest to z in i, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, t: 1, x: 2, r: 3, p: 4, o: 3}. Give prob of sequence zo.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -9. Suppose 907197 - 107197 = j*l. What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3919 = 4*z - y, -z + 5*y + 991 = y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 6 + 2*u - 2*u**4 + 0*u + 0*u**4 - u as r*u**4 + m*u**3 + x*u + c*u**2 + y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542779733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 7, o: 1, z: 7, b: 3}. Give prob of sequence zoz.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 4*b + b + (-1 + 2 - 2)*(-b + b + 2*b) + (b + 2*b - b)*(-52 + 10 - 110) in the form d + z*b and give z.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 0.5. Let o be (-168)\/270 - (-2)\/9. What is the closest to o in 1, x, -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0221352 rounded to 4 dps?\nAnswer: 0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (720\/(-36))\/((-15)\/6). Let k = 1.3 - 1.2. Which is the nearest to 0.3? (a) k (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 0 - 1774) + -2. Let a be g\/(-16) - 6\/8. Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**6\/120 - d**5\/10 - d**4\/24 + d**3\/2 - 4*d**2. Let v(y) = -5 - 5*y + 25 - 6*y - 4. Let a be v(2). Determine m(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + sqrt(117)*1)*-2)\/(-6*(sqrt(9)*-2 + sqrt(9)))*-4.\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 29438 = 2*p, 3*p - 7*t + 14*t = 44217. What are the prime factors of p?\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33087.\nAnswer: 3, 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 66904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*6\/4*13*940. Round v to the nearest 1000.\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2 + 14 = 0. Suppose 0 = c*n - 3*n. Let a(y) = -y + 9. Calculate a(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000434731617 to 7 dps.\nAnswer: 0.0004347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*y + 47. Let j = y + 329\/10. Which is the second smallest value? (a) j (b) 4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.52? (a) -41 (b) 4.8 (c) -0.1 (d) -1 (e) 97 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/44 and 27\/352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 38*g**2 - 377*g + 35. What is i(7)?\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425731655?\nAnswer: 5, 109, 503, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -5337734\nAnswer: 37364138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -2, -4 in descending order.\nAnswer: 57, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -59255977500 rounded to the nearest one million?\nAnswer: -59256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2 - 288*f + 125860 = 0?\nAnswer: -217, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h**2. Let t(l) = 22418286*l**2. Give t(j(x)).\nAnswer: 2241828600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h + 11 - 1. Let a be (h + 2)\/((-46)\/4 - -2). Put a, -5, 2\/3, -1\/5 in descending order.\nAnswer: 2\/3, a, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46, -54, -68, -88?\n\"Answer: -3*m**2 + m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -32*n**5\/5 + 31*n + 15. What is the first derivative of a(i) wrt i?\nAnswer: -128*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1066 - 1168 - 813 - 1277 - 577)*(-2*a**4 - 3*a**4 + a**4) to m*a + p*a**3 + u*a**4 + b*a**2 + w and give u.\nAnswer: 19604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-12)*3 + 22. Let c be 360\/2 - 0\/(-3). What is the greatest common divisor of c and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3)*t**(-2\/7)*(t*t**(2\/7))\/t*t**5)\/(t**(-1\/10)*t**(1\/3))**43 assuming t is positive.\nAnswer: t**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 14*b**5 - 38*b**4 - 138*b**3 - 106*b**2 - 20*b = 0.\nAnswer: -1, -2\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -3*f + 7, 2*o + 6 = 0. What is the closest to f in 3, -6, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/79500 and -23\/5550.\nAnswer: 2941500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/408 and 89\/4?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 854 divide 1412984786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(-2*sqrt(8)))\/(sqrt(40)\/(-2*sqrt(10))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (7\/63*-3)\/((-387)\/27)*-2\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(175)*1)**2 + (sqrt(175) + 1)**2 + -3) + ((sqrt(175) + 3*sqrt(175) + -5 + sqrt(175))**2 - -3*(sqrt(175) + -3)).\nAnswer: -265*sqrt(7) + 5447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04900105 + 0.049. Round y to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 + 81 = 3*x. Let v be (-12)\/16 + x\/36. Let g(w) = -3*w - 1. Let c be g(-1). Is c < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -36.4\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 173320 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let m = 90 - 96. Let k(y) = -4*y**2 - 5*y - 57. Let b(q) = -5*q**2 - 6*q - 58. Let v(w) = m*k(w) + 5*b(w). What is v(c(h))?\nAnswer: -h**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.26, 348, -250 in increasing order.\nAnswer: -250, -5, -1.26, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 1, x: 5, a: 1, g: 6}. Give prob of picking 1 f and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(5\/18)*(-6)\/18. Suppose 12*j - 10*j - r = 0. Factor -2*w**2 - 4*w**j - 5*w - 2 - 5*w**2 + 5*w**3 + w**4 + 4*w**2.\nAnswer: (w - 2)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54050 + 8786.637\nAnswer: -45263.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1\/4, -103, 11, -1.7 in increasing order.\nAnswer: -103, -1.7, 1\/4, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3385717?\nAnswer: -2\/3385717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 - 27*j + 15. Let x be h(-5). Let b = 6 - 5.7. What is the second biggest value in -3, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2121222 (base 4) to base 10\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Suppose 80 = k*u - 9*u. Let c = -31\/2 - u. Sort -4, 3\/2, c in increasing order.\nAnswer: -4, c, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -286, -605, -974, -1417, -1958?\n\"Answer: -4*m**3 - m**2 - 288*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -700 (c) 2.832 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/4 + 168435*b\/4 + 505341 = 0. Calculate b.\nAnswer: -12, 168447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, 0.03, -0.2, -1\/3, 0.092, 1097?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k - 70. Let h(o) = 6*o + 35. Let i(f) = 5*h(f) + 2*v(f). Does 14 divide i(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) 24.3 (c) 16 (d) 2343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 <= -138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 315 + -311. Let w = -1\/6 + 17\/12. Suppose -2*x = -5*v + 55, 5*v - 16 = 9. Which is the biggest value? (a) w (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 2*f - 4. Let y be h(-4). Suppose -72 = -8*w + 14*w. Let q(z) = z**3 + 13*z**2 + 12*z + 9. Let a be q(w). Solve y*p - p + a = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 190*t - 105*t - 97*t - 24. What is the nearest to -1 in t, 8\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01513601 to 5 dps.\nAnswer: -0.01514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26 + 8483*o**2 + 145*o**3 + 26 - 7947*o**2 wrt o?\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**5\/5 - 4464*y**4\/5 - 90884*y**3\/5 + 4464*y**2\/5 + 18176*y = 0.\nAnswer: -20, -1, 0, 1, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 + 6*i - 8056. Let t be m(0). What is t rounded to the nearest one hundred?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 2528*n\/3 + 97508\/3.\nAnswer: -(n - 38)*(n + 2566)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 12c81b?\nAnswer: 12c819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssjsssssjsssjs. What is prob of picking 2 s and 1 j?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 30*i = -884. What is the second derivative of -i + 161*c - 324*c + 161*c**2 + 164*c wrt c?\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-10) + -1661497)\/((-1)\/60). What is w rounded to the nearest 1000000?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m + 6. Let l(h) = h + 1. Let a = 15 - 16. Let g(x) = a*p(x) + 6*l(x). Let b be g(-1). Solve 0 = 3*o - 9, -q - b = -5*q - 3*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -36*z**2 + 2241*z - 556. Let f be l(62). Find o, given that -f*o + 1\/3*o**2 + 0 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j - 788. Let x be o(-87). Let k(i) = 9*i**2 + 8*i + 7. Let a(l) = 13*l**2 + 12*l + 10. Calculate x*a(v) + 7*k(v).\nAnswer: -2*v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -5, -26, -67, -134, -233, -370?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -300 - -388. Calculate the remainder when 701 is divided by x.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -43. Let s(o) = 5*o - 23. Let j be s(m). Calculate the highest common divisor of 186 and j.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((256795\/29)\/77).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 6*n**3 + 2395. Let b(t) = t**2 + 25*t. Calculate b(i(k)).\nAnswer: 324*k**4 + 450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n - 150. Let i be 46\/10 + 18\/n. Suppose 2*r - k = 69, -4*r + i*k = -8*r + 132. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169 times 6349\nAnswer: 1072981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(70)*-1*-1 + sqrt(70) - sqrt(70)) + sqrt(70) + sqrt(70) + sqrt(70))\/sqrt(10)*-3)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let j = -1.7 - 1.3. Sort -0.5, j, l.\nAnswer: j, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87.5 + -79.588. What is f rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**2 - 157 - 8*j**2 + 11*j**2 + 5*j**2 to n*j + o*j**2 + t and give t.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/10823689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 + -67.19. Let w = a + 67. Let x be (0 - 1)*(-5)\/(-20). What is the closest to x in -1\/4, -4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -11. Let m = -1\/1881 + -2\/209. Let z = m + 203\/495. Sort -0.4, z, y.\nAnswer: -0.4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -4.7. Let g = -6 + m. Let t = g - -2. Which is bigger: t or -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in -0.1, -30, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + (-2 + sqrt(98) + sqrt(98))*1 + sqrt(98))**2.\nAnswer: -112*sqrt(2) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19198*i**4 + 2*i**3 - 81546*i**2?\nAnswer: -460752*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58922.\nAnswer: 2, 17, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -20679\/21956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(56\/18))\/(123\/(-656))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11746034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 - (-60)\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3152109 - 6051443. Let u be 36\/(-2)*(-1299889)\/(-3). Let w = u - g. What is w rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17820 and 24420?\nAnswer: 659340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 100 = -4*h. What is the greatest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33024 and 10584.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 513*z - 3006. Give t(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**7*(x**4*x)**(17\/4))**(-1\/2) assuming x is positive.\nAnswer: x**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is v in 296\/3*v - 8\/21*v**4 + 244\/21*v**2 + 2\/21*v**5 - 6*v**3 + 112 = 0?\nAnswer: -6, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -48?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 6365.\nAnswer: -25460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 2*d + 7 - 5*d. Let l(p) = -p**3 + 4*p**2 + 2*p - 3. Let o be l(4). Let z(i) = -13*i + 10. Determine o*z(b) - 7*j(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 11:46 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 65. Suppose -3*j = y - l, -j + 2*j = 2*y + 20. What is the highest common divisor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7 + (6 - 0))*-139 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x, -2*r - 3*r + 5*x + 20 = 0. Let o(n) = -3 + 2 - n - n**r + 0. Let d(j) = -7*j**3 + 3*j**2 - 3*j - 10. Let t(b) = -d(b) + 6*o(b). Give t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 4)*(-10081 + 10080 - 1207*k + 4613*k) to the form y*k + h and give y.\nAnswer: -6812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(700) + 0 + -1)**2*6*-4.\nAnswer: -151224 + 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 23 = 2*p + 4*v, -3*p + 11 = -2*v. Solve -3*m + p*m + 5*m + 2*m**2 + m + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/5323878 and -50\/47.\nAnswer: 5323878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 413, -5 in descending order.\nAnswer: 413, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) 0.2 (c) -0.15 (d) 1\/3 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13344 - -4?\nAnswer: 13350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*p + 288 = -10*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2 + 272\/80.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 25*a**2 + 79*a + 106. What is x(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -863, -1316, -1769, -2222, -2675?\nAnswer: -3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + -10)) + (-127 - -110)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 30 = 58. Let k be 1\/(-2 + m\/10). Solve -v + 5*s = -k, -5*v - 6*s = -s - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.32, -0.1, -1530, -0.3 in increasing order.\nAnswer: -1530, -0.32, -0.3, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 - 9535*j + 28560 = 0. What is j?\nAnswer: 3, 1904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 - (89 - 94)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/15)\/(-2)*5\/(-3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2013 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 + (1 - 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5517 less than -3?\nAnswer: 5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 9. Let h be p(-6). Let w = h - 11. Let a be (-2)\/4 + w\/(-4). Solve 7*b - 4*o = 2*b + 20, 5*o = a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 1. Let k(v) be the third derivative of 0 - 1\/3*v**4 + 0*v + 1\/3*v**3 - 96*v**2. Determine k(x) + 2*n(x).\nAnswer: 2*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258885510.\nAnswer: 2, 3, 5, 13, 59, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + 3*sqrt(1375) + sqrt(55))\/(5*sqrt(5)*-1))**2.\nAnswer: 3179\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - g. Let u(d) = -72*d**2 + 2*d. Let r be (1 + 28\/(-20))*(-90)\/(-36). Let o(w) = r*u(w) - 2*a(w). Let v(c) = -4*c. What is v(o(l))?\nAnswer: -272*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 + 101. Let s = -9 + 4. Let n be ((-18)\/15)\/((-11)\/s). Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-65)\/(-52) + 2\/(-8))*2. Suppose 5*f + 7 + 18 = 5*p, -3*p + 15 = -k*f. Solve 4 = -2*y - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 29*f + 3. Let m(l) = -5*l. Give m(b(w)).\nAnswer: -145*w - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 6 - 6. Suppose c*z = 3*o + 39, -o = 2*o - 9. Suppose -6*a + 584 = 206. What is the remainder when a is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-72)\/(-306))\/(-4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + 9*n**2 + 49 + 2*n**3 + 48 - 100 + 0*n**3 to the form a*n**4 + w + p*n**3 + h*n**2 + q*n and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.293 + -0.092366.\nAnswer: -0.385366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5059 by 5.\nAnswer: 5059\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63635 (base 8) to base 13.\nAnswer: c0c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4715)\/1*-22*(-13)\/(-286)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 9 = -4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r + 0*r**3 + 0 + 0*r**6 + 1\/3*r**4 + 0*r**2 - 1\/42*r**7 + 0*r**5. What is the third derivative of z(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3978.5*-4\nAnswer: 15914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h = 17*h + 19*h + 23 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 25 = 3*q + 7, 3*m + 20 = 5*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3838\/15 - 256. Put l, -2, -1, 0 in descending order.\nAnswer: 0, l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-3)\/(120\/(-235)) - 4) - 48620\/416.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092634 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26*-1.094\nAnswer: -28.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0 (c) -6 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. Suppose -5*g + y = -20, 5*y - 23 = 3*g - 57. What is the greatest common divisor of i and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*2\/(-8)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 0 + 0*b**3 + 5\/2*b**2 - 2\/5*b**5 + 0*b**4 + 4*b. Differentiate k(y) wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 29.26. Let w = b + 0.14. Let u = 0.1 - w. Put -5, u, -1\/4 in decreasing order.\nAnswer: -1\/4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7026402 is divided by 146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/25*3330\/777.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, 0.\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + z - 2*z - 455, -5*z = 3*f - 324. Let y = 110 - f. Let w(r) = r**2 - 3*r - 1. Give w(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 2. Let n(f) = f**2 + 12*f + 2. Let q be n(-12). Suppose 4 = 2*s - q. What is a(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = -827 - 937. Suppose -k - 168 = -3*k + 2*d, z = k - 4*d. Is k a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1208157 + -1208158. Suppose -2*m - 3*s + 932 = 0, 4*m - 2*s = -3*s + 1874. Let v = 13599\/29 - m. Which is greater: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 714688 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 665\/25323 + 1\/367. Let w = 542\/345 + x. Calculate the common denominator of -19\/30 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from uluqouldluluudlwo?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5 + 28*u**4 + 96*u**3 - 44*u**2 - 322*u + 240 = 0.\nAnswer: -8, -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*r + 21*r + 363. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 87.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144\/23 - 3359\/92. Is f smaller than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33537 is divided by 33527?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 162 * 0.92\nAnswer: 149.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 0.4, -0.11, -2, 40, 0, 0.07?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xlxyyddxkyxlddxxxyyx?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*w**2 + 4)*(2 - 1 - 4) + 10*w - 11*w - 3*w**2 - w.\nAnswer: -9*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/60927984 and -79\/3384888.\nAnswer: 60927984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i - 24 = 0. Suppose 2*k - 4*s + i = -3*k, k = 2*s. List the prime factors of (10 + k)*1*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-13742 + 13742 + 142*v).\nAnswer: -284*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*v + 5*v. Suppose v*f - 7 = -11. Let r be (-1)\/(6\/3)*f. What is the biggest value in r, 0, -2, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15856*x**4 - 1340?\nAnswer: 63424*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5814180)\/17945)\/(3\/1).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2681, 2692, 2717, 2762, 2833, 2936, 3077, 3262?\n\"Answer: d**3 + d**2 + d + 2678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + 18)*(-8)\/(-10). Suppose 3*g - 68 = -k. Calculate the remainder when 122 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 56*f + 565. Let x be z(13). Solve 36 = x*d + 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c + 21*c - 58*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 20 = -5*g, -g - 4*r + 4 = -2*r. Let t(w) = w**2 + 3*w - 2. Is t(g) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2078*w = -2093*w + 105 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x + 1640. Let b be y(0). Suppose -5*f - d = 2*d - b, 2*f = -d + 657. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -3 + 7\/3*s**3 + 0*s + 5\/2*s**2. Let w(v) = -8*v**2 - 6*v. Let b = 310 - 315. Determine b*w(r) - 6*q(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 1351407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 109*t**2 - 1411*t + 19. Determine c(13).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17*a - 99277 = -13*a, -59597 = -3*p - 2*a. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5 + 97479*y**4 - 794617620*y**3 + 44992981440*y**2 - 129418083072*y + 85219621776 = 0.\nAnswer: 1, 2, 54, 16218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -15*g - 10. Let t be c(-5). Suppose -43 - t = -3*d. Solve 6 = 2*i + 4*l - 0*l, 4*l - d = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -261, -3850, -13581, -32520, -63733, -110286, -175245?\n\"Answer: -511*d**3 - 5*d**2 + 3*d + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 44. Calculate the greatest common factor of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 3, 546149 in increasing order.\nAnswer: 0.03, 3, 546149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5 + 365*m**4 - 34208*m**3 + 164884*m**2 - 260640*m + 129600 = 0. What is m?\nAnswer: 1, 2, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10\/9, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 16\/123 (b) -207 (c) 0.3 (d) -0.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1390201877*d**3 + 1037623333*d wrt d?\nAnswer: 8341211262*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 6, -5*b + 2*c = 3*c - 13. Solve -h = -0*h - b*w - 9, 2*w = 4*h + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18 and ((80\/75)\/8)\/((-12)\/(-657)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2\/215 (c) -0.2 (d) -0.3 (e) -0.06 (f) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23187587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27042 + -865435\/32. Find the common denominator of u and -23\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*t + 4031 = 1539 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/107033?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11.01 times -0.1\nAnswer: -1.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7150 = 598*j + 289*j + 14138 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37044.243ns in days?\nAnswer: 0.0000000004287528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 4. Let d be a(7). Suppose -o + d*o + 80 = 0. What are the prime factors of 3\/(1 - 4)*o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 187 + 296 = -7*w + 157, -46 = -2*q - 4*w for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11928722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -39 + 13*j - 26*j**3 + 57 + 25*j**3 - 12*j**2 + 15*j. Give v(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -50. Let u be 0\/1*(-4 + -2 + 5). Suppose u = 3*p + 2*p - t. Solve -2*c - 9 = -3*q + c, q - p*c - 15 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*h - 40 = 171*h. Let j be ((-2)\/(-4))\/((-2)\/h)*10. Solve -3*a = 2*a + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*g + 88*g = -408008. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*f**2 + 16*f**2 - 34*f**2 - 3*f to the form q + i*f + u*f**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(540)\/sqrt(12) + -1.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 6 + 36 = 0. Suppose 4*q + f - 5*f - 4 = 0, -n*q + 2*f + 2 = 0. Solve 4*v - 3*v - 3 = q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069578 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 26 - (-4 - (0 + 2 + 0) - -16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.55 and 51.\nAnswer: 44.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-140)*-5)\/((-2)\/(-14)). Calculate the highest common divisor of 26 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2756 divided by -5\nAnswer: 2756\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105955570*g**3 + 252920528 wrt g?\nAnswer: 317866710*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 103, 51\/8, 2, -0.07, -1\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:27 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-4 - (-95)\/20). What is the third smallest value in 0, -1\/3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 3, j: 2, q: 6, w: 2}. Give prob of picking 1 j and 3 q.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.199185 minus 3663.365?\nAnswer: -3664.564185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.94225 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -328 - -329. Solve 4 + w = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 23771?\nAnswer: 5\/23771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.1. Let w = -17\/3119 - -6289\/9357. What is the second smallest value in d, -28, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a + 4*d - 172 = 0, 2*a + 5*d = 79. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 7. Let s be o(3). Let c = s + 2. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 7 - 8. Let l = u - 1. Suppose -q = -3*w + 29, 2*q = -l*w + 6*q + 36. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 412*x**2 + 45785*x - 6022. Determine g(503).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 208, 354, 606, 1000, 1572, 2358?\nAnswer: 3394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o + 2*s - 25, -o - s = -7. Suppose o = r - 19. Suppose -n - n + 32 = 0. Calculate the remainder when r is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110100000001001 - -1000?\nAnswer: 1010110100000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - 1 + 10*t + 1.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*i + 20 = 0, -5*i - 2 + 8 = -n. Solve 6*x + n = 10*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 22116 = 3*g, -3*s = 65*g - 64*g - 22130. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -5856\nAnswer: 1\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129349393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12032329 - 560311 = 512*l. Is l at least as big as -24595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t. Let w(g) = 2 - 83*g - 2 + 36*g. Give w(p(o)).\nAnswer: -94*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1965 + -10261\/655. Let w = 15 + u. Sort 4, w, 0.3 in ascending order.\nAnswer: w, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r**3 - 6*r + 3. Is b(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 12:15 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 11691.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 14.92?\nAnswer: -44.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-79)\/(-26) + -2 + (10 - 11). Put 0.1, -4, z in increasing order.\nAnswer: -4, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*b - 8, 22*t = 27*t + 6*b - 49 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16670600 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 8*a + 21. Give k(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7273 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 10 = g - m, 4*g + 37 = 5*m. Let x(f) = -21*f**2 + 4*f - 4. Let v(u) = 10*u**2 - 2*u + 2. What is g*v(y) - 6*x(y)?\nAnswer: -4*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1294804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/98 in 0.03, 0.4, -78?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -11 - (-14 + (51 - 16 - 20)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/(-354))\/((-6)\/63).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-800)\/(-6)*(-3 + 0). Let u = -403 - y. Sort 0, -21, u in descending order.\nAnswer: 0, u, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 17*a**2\/2 - 10*a + 11. What is the derivative of q(z) wrt z?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = 3*z - 51. Suppose 0 = 4*v - 0*v - z. Suppose -31*j + v*j + 64400 = 0. What is j rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 - 333. Suppose 0 = p*a - 2 - 2, -a - 9 = -c. Solve 5*o = -3*t - 0*o + 2, 0 = 5*o + c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144234 and 1674?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/(-10 - (-738)\/72)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -2507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7237428\/5 - 1447486. Let q = 0.6 + -0.57. Let s = 2.03 - q. Which is the smallest value? (a) x (b) -7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25963379083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmv when three letters picked without replacement from lvvvlqlqvvuuvvmvv?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-168))\/((-4)\/7 - (-200)\/105). Let f(x) = 0*x + x - 2*x + 4*x**3. Let r be f(-1). Sort 4, h, 0.4, r.\nAnswer: r, h, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18398, -36994, -55564, -74102, -92602, -111058?\n\"Answer: g**3 + 7*g**2 - 18624*g + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78776979 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {p: 4, i: 3, k: 2, v: 6}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -303, -444, -591, -744?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23965.\nAnswer: 5, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 4*u + 8. Let d be q(-5). Let l(w) be the second derivative of 0 - 3*w + 3\/2*w**2 - 2\/3*w**d. What is the first derivative of l(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.656 to two decimal places.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 645.978174 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45*(-2 - 21\/(-9)). Suppose z - 2*z - 10 = -5*i, -5*i - 4*z = b. What are the prime factors of (3 - i)\/((-5)\/(-60))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*a = 3*y - 54, -2*y = a - 27. What is the remainder when 44 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.456*-2.1.\nAnswer: -0.9576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 23*d**3 - 81*d**2 + 85*d - 25.\nAnswer: -(d - 5)**2*(d - 1)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 5*v**2 - 2*v**2)*(0*v + 0*v + v)*(2 - 5 + 1)*(3 - 4 + 3).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1013\/5015 - -2\/1003. Do q and -99 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(75\/(-5)))\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 6*j - 30. Let c = j - 6. Suppose 5*n - 55 = -c*n. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 759, 961, 1531, 2655, 4519, 7309, 11211?\n\"Answer: 31*q**3 - 2*q**2 - 9*q + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 415*s + 25. Let p(j) = 138*j + 9. Calculate -7*p(o) + 2*y(o).\nAnswer: -136*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437\/4 + 51\/(-204) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516\/87 + (-12)\/(-174).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9)**5\/(z**(-22\/5)\/z**(-7)) assuming z is positive.\nAnswer: z**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 275 - 80 = 0. Calculate the remainder when -5 + 6 + -9*4*-1 is divided by d\/1*1\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 24. Calculate the remainder when 2 - (1\/(2\/6) + -85) is divided by f(-19).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 34221 = 3*p, -4*p - 36*m + 31*m = -45629. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/120 + 5*l**4\/8 + 5*l**3\/6 + 10*l. Let f(m) be the second derivative of i(m). What is the derivative of f(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4 + 15*c - 1 - 22*c + 3. Let i be g(-1). Suppose -i*z + 3*x + 5 = -4*z, 14 = 2*z - 5*x. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k - 6*k + 3*k + 5*k**2 - 2. Let w(m) = 2*m + 0 - 1 + 0. Give -14*w(z) + 3*x(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -9)\/((-2)\/3). Let z(g) = -3*g**i + 2 - 1 + 2*g - 4*g**2 + 6*g**2. Let m be z(-1). Solve 0 = 4*u - 5*r + 17, m*u = -u - 5*r + 35 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314143.\nAnswer: 17, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11290060891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8119286*i**3*j + 184*i*j - 29161*i wrt i.\nAnswer: 48715716*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlcelllcmlmlmmcmccl. What is prob of picking 3 m and 1 e?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -722*v + 711*v + 176 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*y**3 - 309*y**3 + 125*y**3)*(-27*y - 10*y**2 + 27*y).\nAnswer: 900*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 1:23 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.35367 millilitres to litres.\nAnswer: 0.00435367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.07 - -18.87. Let o = -17.7999869 + t. Round o to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 623 + 747?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 480*b. Let r(f) = f + 539. Calculate z(r(w)).\nAnswer: 480*w + 258720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114858 = -116*p + 98*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**2 + 3*l - 1\/20*l**5 + 0*l**3 + 0*l**4 + 0. Differentiate b(q) wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 2*t + 2*t - 26*t**2.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3795993.01678929 - -3795993. Let h = 0.0168 + a. What is h rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 >= -238\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7446*r + 8712 = -13626 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20548510 minus -99.81?\nAnswer: 20548609.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3746*i**3 - 3743*i**3 + 7500*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2. Let x(n) = -16*n**2 + 3*n. What is h(x(m))?\nAnswer: 768*m**4 - 288*m**3 + 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r**5 + 1 - 1\/6*r**4 + 0*r + 1\/27*r**6 + 0*r**2 - 4\/27*r**3. Let k(x) = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 minus -138492266.5?\nAnswer: 138492180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-4 - -2)) + -1 - -6 - (-2 - 63)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2 + b - 4. Let p(i) = -7*i**2 - i + 5. Give -5*c(n) - 4*p(n).\nAnswer: -2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-411)\/(-15) - 3\/(-5). What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2 + 2)*(4 - 4 + k**3)*(-927 + 549 + 2148).\nAnswer: -1770*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13692 and 3934168?\nAnswer: 11802504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1571\/8305?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 29249?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3132?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - -82?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 15*c + 1653 = 3*a, 3*a = -3*c + 1632. What is the remainder when a is divided by 179?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*2*(-50)\/16. Suppose k - o = -10, -4*k + 3*k + 5*o = 6. Let q = k + f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**9\/2160 - h**5\/20 - h**4\/12 + 4*h**2. Let w(x) be the second derivative of c(x). Differentiate w(j) with respect to j.\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -444a43 - 8?\nAnswer: -444a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - q**2 + q + 1. Let d be c(1). Solve -4*s + h - 6 = -h, d*s - 4*h + 18 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29320.7 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 43*k + 91. Let o = -189 - -230. Let d be g(o). Solve d = -4*y + y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*8\/48 + 1364 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*p - 322, 4 = -4*v - 0. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Let n be (-4)\/20 - (-1)\/z. Suppose -4*b = -2*f + 132, -4*f - 5*b = -n*b - 238. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 22*s**2 - 40*s + 10. Let j be c(20). Solve 14*h - j*h + 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**3 - u**2 + u. Let g be y(1). Let t = -12 + 27. Let v be 2\/g - (-1626)\/t. What is the highest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -852\nAnswer: -25.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 131423052 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/540 - j**3\/54 - 5*j**2. Find h, given that w(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798146713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) 2\/9 (c) 6 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxqxoqoqqxxxx. Give prob of picking 1 q and 1 o.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzzzzzzssszsdzszsd. What is prob of picking 2 s, 1 d, and 1 z?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**2 + 542*h - 263. Calculate f(108).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -0.073?\nAnswer: 10.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5, -4*f - 4 = -9*k + 5*k. Let t(c) = -32*c**2 + 2 - 3*c + 45*c**2 - 12*c**k - 3*c**3. What is t(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 937058*b**3 - 1130931*b wrt b.\nAnswer: 5622348*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*k**5*q**3 - 3*k**5*q**2 - 2*k**2*q**3 + 172*q**3 wrt k?\nAnswer: 1080*k**2*q**3 - 180*k**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -314*u - 13. Let x(o) = -7. Calculate g(b) - 2*x(b).\nAnswer: -314*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3082.7 and 4497.\nAnswer: 13862901.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 2*o + 1. Let f(p) = -52*p**3 - 2*p**2 + 6*p + 3. Determine f(j) - 3*u(j).\nAnswer: -55*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 286870*d - 573735. Determine u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 3*b**2 - 3*b**2)*(42*b + 35*b - 32*b) + b**3 - 2*b**2 + 2*b**2.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2))**43)**(8\/17)\/((h\/(h\/h**(1\/13)))\/h*h\/((h\/((h**(1\/4)\/h*h*h)\/h*h))\/h))**(-22) assuming h is positive.\nAnswer: h**(39735\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2 - m**2 + 2*m - 8*m - 4. Determine l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1131 - -1167) + -36 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*k**3 + k**4 + 8*k + 11*k**3 - 52*k - 55*k wrt k.\nAnswer: 12*k**2 + 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**2 - 51. Suppose -4 = -2*z - j, 3*j + j = 0. Let r(q) = q**2 - z*q**2 - 2*q**2 - 7*q**2. What is r(h(v))?\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9556 - 5502. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23618 and -583.8750532.\nAnswer: -24201.8750532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 9.176?\nAnswer: -18.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 55 = 19. Is ((-534)\/4)\/(9\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18949733 and 106246.\nAnswer: 265296262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 222465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 227292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 21*g - 12. Let d be t(16). Let k = d - 57. Solve o - 3 + 2 = h, 0 = -5*o + 2*h + k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(((r*r*r**(1\/3)*r*r)\/r)\/r))\/(r**26\/r)*(r**(3\/23))**(-41) assuming r is positive.\nAnswer: r**(-2117\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 3, k: 5, s: 2, g: 1}. What is prob of sequence vs?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -985*c + 458037. Calculate b(465).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 1:56 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73628963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18, -0.7, -5, -1\/4, 10, 2\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(((sqrt(20) - (sqrt(20)*-1 - sqrt(20)))\/sqrt(4))**2 - (1 + sqrt(20))).\nAnswer: -704 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27286*q - 6695*q - 4061*q.\nAnswer: -38042*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -350*y**3 - 51*y**2 - 18*y**4 + 173*y**3 + 179*y**3 wrt y.\nAnswer: -432*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1033*-0.146.\nAnswer: -150.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Suppose 6 = o*v - 0*v. Solve v = 2*z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 274 and 7?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1287 + 1290. Let l = 31 - 92\/3. Which is the closest to l? (a) 1\/3 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -8 (c) 2 (d) -474 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 2*w**2 - 3*w + 4. Let g be b(3). Suppose -x + 5*h = 3*x - 1354, -3*x + 1000 = g*h. Suppose 4*f - x = -52. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 510.4392 and 1.\nAnswer: 511.4392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Suppose 3*l - q = 5*l - 4*g, 3*g = -5*l - 5. Let u = 0 - 0. What is the nearest to u in 0, l, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6550022 not equal to 6550022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -331?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8781131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1815\/(-1694))\/(12\/14)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 9*z = -4*c + 47912, 0 = -3*c + 5*z + 35923. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27944130 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48030.3564 rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4 - 5\/3*m**3 - 1\/5*m**5 + 0*m + 10 + m**2. Let z(x) = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 4\/8*30 + 1. Let k = 1 + -1. Let q = w + k. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4284345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 22*s**2 - 19*s - 45. Calculate the remainder when j(-12) is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79406 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/120 - g**5\/4 + 2*g**4\/3 - 11*g**3\/3 + 4202*g**2. Give p(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022416 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 o when three letters picked without replacement from {o: 1, m: 11, i: 5, r: 1, b: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s. Let u = 10 - -16. Let n = u - 17. Let h(a) = 3*a - 9. Let q(x) = -x + 2. Let l(j) = n*q(j) + 2*h(j). What is l(g(i))?\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 113155204 (base 6) in base 14?\nAnswer: 3d0a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 3448 - 3356 = 0. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34*(-2)\/340)\/((-3)\/((-15)\/8))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4.98955 times -718\nAnswer: -3582.4969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 2*l + 4 + 7*l - l**2. Let u be k(-9). Solve -u*s - 5*a = -2*s + 5, -5*s = -4*a + 29 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oozo when four letters picked without replacement from {z: 2, y: 5, o: 13}.\nAnswer: 143\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -63539a?\nAnswer: -635392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - -3 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6687956 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 623 + -413.5. Let m = 209 - l. What is the second smallest value in -0.34, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 + 6*l**2 - 7*l - 7. Let p = 7 + 11. Suppose -7*o + 10 = -p. Is y(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 47. Suppose 0 = -4*w + 62 + 26. Calculate the lowest common multiple of ((-1)\/(-3))\/(m\/(-24)*1) and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/8 + x**5\/10 - 3*x**2. What is o in g(o) = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 47. Suppose -2*h + b = 4*o - 7, o = -2*h + 16. Let d be 110\/h - 3\/9. What is the greatest common factor of 45 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 17*h - 2*h**2 + 24*h**2.\nAnswer: 22*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/30570673?\nAnswer: 6\/30570673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h + 2. Let a(r) = 6*r - 1. Let c(s) = 5*a(s) + 3*y(s). Let x(b) = 90*b - 184*b + 92*b. Calculate c(x(o)).\nAnswer: -24*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33615417 is divided by 45182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 0 = 4*x, -5*x + 10 = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.8 - -28. Let o = -0.2 + i. What is the closest to 0.1 in o, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 9. Let a be x(-6). Let p be a*(-3)\/((-27)\/(-60)). Suppose f + 2*n - 5 = 0, p = 4*f - 2*n - 0*n. Solve 0 = j + f, -2*l = 2*l - 3*j - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460409.\nAnswer: 3, 43, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1206 = -2*h - 1198. Solve 2 = -h*t - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (-70 - (-8 - -8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 2136*h + 187965. Determine y(-92).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100661 divided by -10.\nAnswer: -100661\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 2*j**5\/5 + 119*j**2\/2 - 254*j - 147. Find the first derivative of g(h) wrt h.\nAnswer: 8*h**3 + 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chjaacf. Give prob of sequence ac.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*h + 24*h - 12*h to c*h + u and give c.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -11. Suppose -s + 11 = -t*s - 3*x, -4*s - 3*x = -14. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 + 551*k**3 - 23907*k**2 - 158211*k - 244674 = 0. What is k?\nAnswer: -591, -3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3935 - 2335. Let a = w + -771. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 4. Let k = q + 3.5. Let t = 2.3 + -0.3. Sort k, 1\/4, t.\nAnswer: 1\/4, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/74)\/(3\/(18\/(-8)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 47*i + 2. Let h(c) = 4*c**2 + 6*c**2 - 11*c**2. Let u(y) = -5*h(y) + w(y). What is the second derivative of u(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1621, -3237, -4853, -6469, -8085, -9701?\nAnswer: -11317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -4)\/(12\/8). Suppose 5*q + 2692 = 8*q - n*i, 2*i + 10 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*l**4 - 165*f**2*l**3 + 2*f**2 + 192*f + 2*l wrt l.\nAnswer: 12*f**2*l**2 - 990*f**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z + 801 - 1476 + 21*z + 679.\nAnswer: 34*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 2. Let k be c(0). Solve k*d - 6 + 14 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -287 + 314. What is the remainder when 347 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 9\/15) + (-1674)\/(-15). Let u = 107 - h. Sort 1, u, 6, 4 in descending order.\nAnswer: 6, 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**4 + 3*x**4 + 0*x**4 + (4*x + 13*x**4 - 4*x + (x**3 - 4*x**3 + x**3)*(-x + 1 - 1))*(3 + 3 - 5) as r*x + h*x**2 + q*x**4 + s + n*x**3 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**2*k**0)**15*(k**1)**32\/(k**(-1)\/k**(-1\/4)) assuming k is positive.\nAnswer: k**(371\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 2:48 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 1650892 in descending order.\nAnswer: 1650892, 15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*a + 19 - 1, 3*a - w - 3 = 0. Suppose 14 - a = 4*h. Factor -4 - 5*r**2 + h - 3*r + 3.\nAnswer: -(r + 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:51 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*x**3 + 22*x**4 - 26*x**4 - 53*x**2 - 56 - 26*x + 98*x**3 wrt x.\nAnswer: -48*x**2 - 12*x - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by 45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 10*f**3 + 29*f**3 - 17*f**3 + 39 - 22*f**2 - 25. List the prime factors of y(14).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 31 = -53. Suppose -4*u = -4*r - o, -5*u - 3*r + 29 = -14. Solve -u = s - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4258*f**3*j**2 + j**2 + j + 71 wrt f.\nAnswer: -12774*f**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 10*y**2 - 6*y. Let i = -21 - -33. Let d be b(i). What is the highest common factor of 24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 34153070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5951, 5953, 5955?\nAnswer: 5957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 3. Let t be w(-2). Let x be 0 + (5 - 1)\/1. Let q be -3 + x + 54 + t. Calculate the highest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*i + 67*i - 292*i + (13 - 16 - 9)*(3 - 3 - 2*i) in the form o + m*i and give m.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.06 - -8. Let q = 0.14 - d. Let v = -42 + 125\/3. Which is the nearest to 0.1? (a) v (b) q (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989568239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.313*-3.\nAnswer: -30.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*d - 2*d - 3*d)*(2 - 2 - 2) - 3*d + 2*d + 1 + 2*d)*(-246*d - 1780 + 1780) as c + k*d**2 + r*d and give r.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w - 6. Let a(o) = 15*o - 5. Let r(b) = 6*a(b) - 5*n(b). Let z(l) = l**2. Determine r(z(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122660 is divided by 30295?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 8*m**3 - 64*m**2 + 128*m.\nAnswer: 4*m*(m - 4)*(m - 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -41, 53, 341, 913?\n\"Answer: 15*g**3 - 38*g**2 - g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1367\/24 - 445\/8. Which is the second smallest value? (a) 0.6 (b) v (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*2*1\/(-4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5954*l**2 + 115*l + 232. What are the prime factors of d(-2)?\nAnswer: 2, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11562561.58 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (12 - (11 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*w - 13*w + 2*w**3 - 21*w**2 - 30*w**2 + 30*w as q + f*w**3 + y*w**2 + d*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.55 + -1.55. Let y = 201 - 209. What is the nearest to d in 3, y, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 2. Let n(k) = k**2 + 16*k - 2. Let p be n(-16). Let t be m(p). Suppose t = -2*i + 7 + 17. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 - 3. Let f = 0 + d. Let c = 0.0999968 + f. Round c to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306161835 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10791 + 3488 = -983*c - 10296 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -710.\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12212.7 - 15?\nAnswer: 12197.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 133522 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6466 = 229. Is ((-28)\/4 + 8)*l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(-4 + (1*(sqrt(684) + 3))**2 - ((2 + sqrt(684))*2 + (-1 + sqrt(684) - sqrt(684)) + 2)).\nAnswer: -683 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 26*a + 110. Let n(l) = -l + 9. Let q be n(0). Suppose -a*v + 199 = q. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 4*x. Let u(y) = 5*y. Let h(s) = 5*i(s) - 4*u(s). Let k(a) = -a**2. What is h(k(g))?\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12094 + 16997. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 0.6 (c) -2\/9 (d) 9 (e) 3\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -455, 1, 4 in decreasing order.\nAnswer: 4, 1, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, b: 2}. Give prob of sequence cbcb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12282 and 9887838?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - h + 9. Let y(i) = -3*i**3 + 5*i - 41. What is 9*s(q) + 2*y(q)?\nAnswer: 3*q**3 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 14*f**2 + 13*f + 18. Let z be m(13). What is the third derivative of -25*t**4 + 0*t**2 + z*t**4 + 2*t**2 wrt t?\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-5\/7)*m))\/m**(-2)*(m*m**(-1\/3)\/m)**(-20) assuming m is positive.\nAnswer: m**(176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + 24\/10. Suppose -u*b + 3*b = -1. Let p = -2049\/7 - -292. Which is greater: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84886525 a multiple of 5323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40.97766ml?\nAnswer: 0.04097766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 140 times -544099\nAnswer: -76173860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56.7 and -851315?\nAnswer: 851371.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159958 is divided by 3216?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100001100110101001 (base 2) to base 14.\nAnswer: 299b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1438*j - 1623*j - 1198*j - 1492*j.\nAnswer: -5751*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxacbbwaxx. What is prob of picking 1 a, 1 c, and 2 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 487*d**2 - 3*d - 5. Let o be (138\/(-18) - -7)\/(8\/12). What are the prime factors of z(o)?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10777849.\nAnswer: 307, 35107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Let a(s) = -s. Give -4*a(y) + p(y).\nAnswer: 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most 263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 93*p + 0*p**2 - 78 + 93*p in the form x*p + f*p**2 + r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29899031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1813 and 81.\nAnswer: 146853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*a**2 - 72*a**2 + 799*a**5 - 2*a + 24*a**2 + 15*a wrt a?\nAnswer: 47940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*c - 14, 2*c + 123 = -3*s + 131 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**7\/14 - 7*j**3\/6 - 27*j - 4. Let t(z) be the first derivative of r(z). What is the second derivative of t(f) wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + (sqrt(336) - sqrt(21)))*3)\/((sqrt(126)\/sqrt(2))\/sqrt(9)) + (sqrt(2700)*3)\/(sqrt(81)\/(sqrt(36)\/sqrt(4))).\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-10)\/(9\/((-27)\/(-6)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1716143.\nAnswer: 11, 13, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*d - 145*d - 21*d - 26*d.\nAnswer: -160*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16837, 9290, 1747, -5792?\n\"Answer: 2*t**2 - 7553*t + 24388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 24375.\nAnswer: -1\/4875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 1800*o**2 - 7136*o.\nAnswer: -4*o*(o + 4)*(o + 446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*m + 573 - 260 = 0, -5*y = -3*m - 522. Solve -y = -50*z + 65*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5621150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + 103 + (-1 + 2 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 19. Let q be m(-7). Suppose -q*h = -2 - 2. Calculate the smallest common multiple of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -388 - -430. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, -0.1, 1, 127?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1941\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285358 is divided by 57070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(143)\/(2*sqrt(11)) + (-1*sqrt(13)*4)**2 + -2 + -4)*-5.\nAnswer: -1011 - 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*f**3 + 81 - 81.\nAnswer: -158*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -4\/3, 2\/3, 594?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3*1)\/(5 + 432\/(-88)). Let t be (3\/((-9)\/4))\/((-22)\/f). Is -57 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 30*x - x - 6*x - 7*x - 5*x - 10*x. Let q(y) = -48*y**2 + 1 - 71*y**2 + 1. What is q(p(f))?\nAnswer: -119*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 33 + 2*g - 3 + g. Let d be k(-9). Suppose 10 = o + c, d*o - 4 = 3*c + 26. Calculate the highest common divisor of 80 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24b76 (base 14) to base 13\nAnswer: 31cc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -52*h + 11808. Let k be a(56). Calculate the highest common divisor of 40 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 9*h + c - 24 - 21 + 0 = 8*h, 24*h - 276 = -4*c for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/14 - 3*c**3\/7 - 6*c**2\/7 - 80*c. Determine u, given that v(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 k when three letters picked without replacement from {k: 7, y: 4, j: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y + 4. Let q(r) = 3*r - 4. Let i be -8*(3 + (-7)\/2). Calculate the remainder when q(i) is divided by x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urt when three letters picked without replacement from truewetux.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 379309677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -2*m + 2*d, 3*m + 2*d = 46 + 504. Is m a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, -2391 in increasing order.\nAnswer: -2391, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 203, 212, 219, 224, 227, 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sztinssizz. What is prob of sequence nis?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747491 is divided by 43958?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 11957568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -104, 82, 448, 1054, 1960, 3226, 4912?\nAnswer: 7078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m**3 + m + 2. List the prime factors of o(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eufh when four letters picked without replacement from {u: 2, e: 2, h: 1, s: 1, i: 5, f: 2}?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11353506 times -0.04\nAnswer: -454140.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2\/7 + 33990*l = 0.\nAnswer: -79310, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4025)\/(-150) - 26)*6\/4*2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c = -139*c + 360 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3865 + 3869. Put 5, -11, -1\/7, -0.7, m in increasing order.\nAnswer: -11, -0.7, -1\/7, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3834 take away 0.5?\nAnswer: -1.8834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(4455)*5)\/(5*(sqrt(44)*1 - (sqrt(11) - 4*sqrt(99)))))**2.\nAnswer: 40500\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14232301043 (base 5) in base 9?\nAnswer: -38051675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 26*d = -12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + sqrt(12)\/sqrt(4)) - (5 + (sqrt(17) + -4 - sqrt(17)))**2 - (-2 + sqrt(833) + 2*(sqrt(17) + sqrt(119)\/sqrt(7))).\nAnswer: -21*sqrt(17)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/15, -1.4, -1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 3\/5 (c) -0.35 (d) 2\/3 (e) -2\/373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodrdoooor. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and -103.24.\nAnswer: -88.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1774 + -1773.6. Let f = 3 - 1. Which is the third smallest value? (a) v (b) -5 (c) f (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(28))**2 - (2 + (sqrt(7) + -1)**2 + sqrt(7)).\nAnswer: sqrt(7) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (10 - (-11 - (0 + -30))) - -7?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.1 (c) 8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaabaeeeeeeeaeeebee. What is prob of sequence ee?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - w + 4*w - 12*w + 3*w - 18*w in the form v*w + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:07 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19052)\/1732 + 370\/34 + 72\/34?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7260, -14531, -21816, -29121, -36452, -43815, -51216, -58661?\n\"Answer: -a**3 - a**2 - 7261*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:10 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose -i*m - 24 = -4*u, 0*u + m + 9 = 2*u. Let v be u*(7\/(-6))\/(-7). What is the biggest value in 3\/4, v, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/3050*1634\/(-129). Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8320 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 - -241. Calculate the greatest common factor of 21 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4747 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 5*k + 2. Let g be c(-4). Which is greater: 67 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20437 + -4.\nAnswer: -20441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 47*m**2. Let w(q) = -q + 1638. Calculate w(v(o)).\nAnswer: -47*o**2 + 1638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-52)*10*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (4 - (5 - -3)). Calculate the common denominator of (-1)\/(-2) - 335\/(-15) and 3 + -4 - (-465)\/v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/7)\/((-24)\/(-28)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 4 (c) 0.1 (d) 1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25499 * 0.5.\nAnswer: -12749.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 2*v - 29. Let p be j(9). Let h = -30 + p. Suppose -h*u + 41 = 33. Which is the second smallest value? (a) u (b) 5 (c) -0.5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*((4 + sqrt(112))**2 + 1).\nAnswer: -774 - 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85917*o - 85919*o - 8 = 0, 3*r + 2*o = -23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1249301 to the nearest 10000.\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 164850.249 to the nearest ten.\nAnswer: 164850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -43 (b) 121 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119167698 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4914*l - 979. What is the ten thousands digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w - 1. Let r = -37 + 40. Let f be w + (-3 - 0) + r. Solve f*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 41 + 47 + 54 + -1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2600))\/(-3*(sqrt(2) + sqrt(8)\/sqrt(4))).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 at most -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16421783*l - 16421674*l = -12984 + 4264 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -289 - -293. Let g be 208\/(-39)*9\/(-4). Are g and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 26. Let z be g(-11). Suppose z*h = i - 2, -5*i + 5 + 5 = 3*h. What are the prime factors of (376\/3)\/i - (-6)\/(-9)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1628511 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iatu when four letters picked without replacement from {u: 1, t: 1, s: 7, i: 3, a: 2}?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181442 is divided by 1050?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - u**2 - u. Let h(v) = -5*v**3 - 4*v**2 + 2. Let n(s) = h(s) - 4*r(s). Let q be n(-2). Solve q*t - 5 = g, -g + 1 = 3*t - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 53101571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-2)*v*v))**(-20\/7))**(-35)*((v\/((v**(-4\/5)\/v)\/v))\/(v*v**(-3\/7)))\/((v*v**(-2)\/v*v*v*v)\/(v\/(v*v\/(v*v**3*v))*v*v)) assuming v is positive.\nAnswer: v**(288\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513140*k**2 - 506053*k**2 + 1019192*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 7, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*3 + sqrt(198) - sqrt(198))*2)\/(sqrt(6)\/sqrt(27) + -6*sqrt(2)*-2).\nAnswer: 54*sqrt(11)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*l + 2010 = 133*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128661 times 0.31?\nAnswer: 39884.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 14*i**2 - i + 18. What is m(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/26)\/1)\/((-87)\/(-74820)*-43)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50648 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3537 and 1506369.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113611 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3))\/sqrt(10) + (sqrt(162) + 0)**2 + -1.\nAnswer: sqrt(2) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*k + 44 + 23 = 0, -r = 4*k - 1. Let m = r - -2. Let n = m + 121. Round n to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 145*b**6\/6 + 47*b**4\/12 + 3*b**2\/2 + 3566*b. What is the third derivative of c(a) wrt a?\nAnswer: 17400*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l. Let y(z) = -2*z**2 - 183559. Give j(y(u)).\nAnswer: -16*u**2 - 1468472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8)\/(sqrt(4)*1) + 1)**2.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 5.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**9\/504 + 3*b**8\/16 - 49*b**5\/60 + b**3\/3 - 133*b**2. Find the third derivative of z(l) wrt l.\nAnswer: 120*l**3 + 3780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43380 is divided by 14008.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7220, -14449, -21680, -28913?\n\"Answer: -s**2 - 7226*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 8*h**2 + 26*h**2 + 6*h + 6 - 9*h**2. Suppose -j + 5 + 1 = 0. Let s(a) = a**2 + a + 1. Give j*s(v) - i(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221857 and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -16 + -3 + 3 + -102 + 75.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n. Let p(a) = 0*a + 3*a + 33 - 33. Calculate p(k(d)).\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {c: 1, v: 5, b: 2, j: 4, g: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 1 - (-20 - (-63 - (5 + -36))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 + (4 - 4). Suppose s = -3*d - 0 + 9. Let 2*l**4 - d*l**2 + 0*l**4 - l**2 + 2 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.6074115 to one decimal place.\nAnswer: -69.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b + 8. Let d(v) = v + 3. Let g be d(-3). Suppose 2*j + 4*n + 8 = g, j + n - 1 = -j. Sort -2, b, j in decreasing order.\nAnswer: j, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*d**4 + 363*d*u**2 - 2*u**2 + 193*u - 6 wrt d.\nAnswer: -128*d**3 + 363*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.056 (b) -2 (c) -1\/4 (d) 18456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - x + 23 - 28, -2*x - 10 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1201202 + 20230?\nAnswer: 1221432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*(-6)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 222, -1, -0.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m - 21. Suppose -w + 3*w = -w. Give p(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 160758 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065934*n + 532957*n + 532953*n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635231661?\nAnswer: 3, 211743887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15953.0700009 + 15953.14. Let l = -0.07 + d. Round l to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p = 38*p + 10. Let q(u) = -u**2 - 5*u + 2. Let j be q(-6). Let y be 4\/7 - 9\/(-21). Sort p, y, j, -1 in ascending order.\nAnswer: j, -1, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1990 = 2*a, -a - 14*r = -19*r - 982. Which is greater: a or 994?\nAnswer: 994","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.20323g in tonnes?\nAnswer: 0.00000920323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.368*1\nAnswer: -3.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-2)\/6)\/(4\/12))\/1. Put t, -5, -3 in ascending order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*r**2 - 3*r + 94 wrt r.\nAnswer: 34*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0, 1, 19, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1365 times -3\nAnswer: -4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 8:57 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from qiqyqyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(11) + 3)**2 + -1*(-3 + sqrt(11))).\nAnswer: -108 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -279, -287, -295, -303, -311?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -11 + 6. What is the remainder when (-3)\/l - (9 - 143) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 26 = -3*m, -d - 4*m + 38 = 2*d. Solve 0*x = -2*x + d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 71. Put -2\/29, 0.5, y, 0.1 in ascending order.\nAnswer: y, -2\/29, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0*h**2 + 2*h + 0*h**5 + 5\/6*h**3 + 0 - 1\/42*h**7 + 0*h**6 + 0*h**4. What is the second derivative of g(b) wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 31. Let l = -142 - -100. What is the remainder when m(0) is divided by (-486)\/l - 8\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((2682\/(-4))\/9)\/(2\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -11*l**7\/420 + l**6\/180 - l**4\/24 - 19*l**3\/3 + 36*l**2. Let n(v) be the first derivative of y(v). Calculate n(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -116. What is the second derivative of -4584*s - 3 + a*s**5 - 1 + 4591*s wrt s?\nAnswer: 2140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.2 + 0.8. Let a = -7.3 + i. Let k = 3.3 + a. What is the second biggest value in k, -2\/5, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.5 (c) -0.4 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -6. Let b = x - -16. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**2 - 6*c + 5. Determine w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16015.\nAnswer: 5, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from ttcceqeqedtteetet?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -10.2. Let v = 0.041 - 0.141. What is the third smallest value in 1, 1\/2, v, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 106. Let j = 163 - x. What is the greatest common factor of j and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1850065 - 804372. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 3*t**4\/16 + 55*t**3\/8 + 117*t**2\/8 + 354. Factor m(i).\nAnswer: 3*i*(i + 26)*(2*i + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 36*g - 30. Let p be f(-17). Which is the closest to 0? (a) p (b) 0.4 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -0.1, -4, 5, -1\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 236*p + 706. Give j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0 + 2 - 0) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9710044, -19420091, -29130138, -38840185, -48550232?\nAnswer: -58260279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = 2*j + 1, -4*j = -i - 12. Let s = 3 - 3.11. Let t = 4.89 - s. Which is the biggest value? (a) i (b) 1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 43*c**4 + 42*c**4 + 2*c**2 + 1 - 1 as g*c**4 + o*c**3 + m + u*c + s*c**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z**2 - 264*z**4 - 32 + 31 + 271*z**4 + z**3 to the form n*z**4 + m*z**2 + l + h*z**3 + i*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246\/65 - -3803\/390. Find the common denominator of (-2)\/(-2) - (-2272)\/576 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, k: 5, v: 3}. What is prob of picking 2 k and 2 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 115*x + 342. Let l be z(-3). Put 0, 20, l, 5 in descending order.\nAnswer: 20, 5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000103529 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/15 - -2) + 0. Let g = -8383 - -8380. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/53, 4\/9, 3\/8?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 25*t**2 - 36*t - 572. Give u(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009411389 to 5 dps.\nAnswer: -0.00941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 9*z - 3 = 0. Suppose -w = z - 6. What is the second derivative of 3*s**5 - s - 3*s**w - 2*s**5 + s**5 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**1\/n))**(16\/7))**37*(((n*n**3*n)\/n)**(-7\/2))**2 assuming n is positive.\nAnswer: n**(988\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/962)\/((-129)\/559).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 234\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3549.3 + -3549. Put p, -1\/4, -3\/20 in ascending order.\nAnswer: -1\/4, -3\/20, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1536 and 41280?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49742664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 7*l**2 + 8*l + 5. Let r be d(-6). Let f(t) = -47*t + 23. What is the hundreds digit of f(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 12}. Give prob of picking 2 b.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1496 and 10.654.\nAnswer: 15938.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10 = 50. Let v be 1\/(1\/(-2)*k). Let u = 0.7 - 1. Which is the third biggest value? (a) v (b) u (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749927272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/9 (c) -1\/4 (d) 34 (e) -4 (f) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.07 + 18. Let v = d + -0.03. Let l = 3 + -2.9. Which is the closest to l? (a) v (b) -3\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 2*o**2 - 2*o**2 + (14*o - 3*o - 6*o)*(o - 5*o + o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16263?\nAnswer: 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + (sqrt(32)\/(sqrt(4) + sqrt(36)) + sqrt(8) - sqrt(8)) - sqrt(8) - sqrt(8))\/sqrt(4))**2 + (sqrt(176)\/(sqrt(11) + -2*sqrt(11)))\/sqrt(8).\nAnswer: -sqrt(2) + 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1307, -2537, -3777, -5033, -6311, -7617, -8957, -10337?\nAnswer: -11763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 7*h + 0*h)*(-2 + 4 + 1 - h) in the form q*h + z*h**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 27 = 3*f. Let d = -181 + 194. Let t(b) = 23*b - d*b - f*b. Let m(x) = -5*x. Calculate t(m(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -10*w - 2. Suppose -7*i + 990 = -w*i. Let b be ((-2)\/(-6))\/(3\/i). What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2186 and 2467994?\nAnswer: 2467994","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h. Let q(i) be the third derivative of i**5\/60 - 31*i**3\/3 + 79*i**2. Determine k(q(w)).\nAnswer: 2*w**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 2\/11, -5, 0.4, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 1. Let y be r(-2). Let s = 21 + -15. Let v be (s\/4)\/((-3)\/4). Put v, -0.5, y in decreasing order.\nAnswer: y, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 2*o - 3. Let j(u) = -2*u**3 + 2*u - 4. Suppose -f = 2*f - 9. Let x(n) = f*j(n) - 4*c(n). What is the second derivative of x(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21108 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-234))\/(-7)*69\/(35190\/(-204))\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 143407 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 3)*(-2*x**2 - 199*x**4 + 199*x**4 + 17*x - 2*x**5).\nAnswer: 16*x**5 + 16*x**2 - 136*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -792, 1\/7, -313 in descending order.\nAnswer: 1\/7, -313, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19114 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(4 + -3). Put 0.3, m, -3\/5 in increasing order.\nAnswer: -3\/5, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 60.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35292377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75773*w**3 - 51143?\nAnswer: -227319*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.732\nAnswer: 0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = 2*n + 10, 4*j + n = 7. Suppose -12 = -j*t + 105. What is the derivative of 75 - t - f - 30 wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 557*p - 426*p + 917 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (18 + -38 - -23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 80*d**3 + 12*d**2 + 232*d - 160.\nAnswer: -4*(d - 1)**2*(d + 2)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 928290 and 262305?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -92*g + 1 + 190*g - 97*g - 3*g**2. Let l(d) = -3 + 1 - 2*d + d**2 + 4*d**2. Let c(r) = -r**2 - 3*r + 4. Let q be c(-2). Give q*l(o) + 11*k(o).\nAnswer: -3*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + -0.14. Which is smaller: w or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 44 = 4*h, h - 5*a = -27 + 37 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13263.98086 rounded to the nearest integer?\nAnswer: -13264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/16)\/j)\/j*(j\/j**2)\/j*j*j**(-4)*j\/(j\/(j\/j**(-1\/3)))*j assuming j is positive.\nAnswer: j**(-227\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 335, 5, -16, 2.\nAnswer: -16, 1, 2, 5, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9570\/22)\/29*(-1)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 26. Suppose -v + 75 = -l*v. Is 1 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3 = -1. Let o be (8\/6)\/(49\/21). What is the nearest to v in o, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 + 4 + 7*a**2 - 3481*a - 2*a**2 + 15*a**2 + 0.\nAnswer: 5*a**2 - 3481*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (0 - 1) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*r - 120*r - r**3 - 24*r**2 to the form l*r**2 + n*r**3 + z + h*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18632000 rounded to the nearest one hundred thousand?\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y. Suppose 5*q - 34 = m + 54, y = -2*q - 2*m + 40. What is the highest common divisor of 198 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73.3 - 73.3. What is the closest to -0.1 in d, -60, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 70416 - 532804 = -4*h, 4*u + h - 603211 = 0. Let q = u + -445708\/3. Let z = q + -4417\/2. Calculate the common denominator of z and 91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {i: 1, u: 4, e: 2, j: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*h + h - 4, 0 = -2*h - 3*c - 18. Sort -3, 3, h in descending order.\nAnswer: 3, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.02 - 270.98. Let t = -272 - s. Which is the third biggest value? (a) 51 (b) t (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 + -101. Let k be 2\/(-6) - 5\/l. Let q = k + 7\/3. What is the third smallest value in -1\/11, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/8 - 3979*s**2\/8 - 3960099*s\/8 - 3956121\/8 = 0. Calculate s.\nAnswer: -1989, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 34. Let s = 15.3 + -17. Let m = -1.6 - s. What is the closest to m in 1\/2, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 15522984?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, y: 8, q: 2, e: 6}. What is prob of picking 1 y and 1 e?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -6 - -8)*-5. Let a(p) = -p**3 - 41*p**2 - 37*p + 122. Let v be a(y). Solve -v*u - 20 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 73*u - 1130. Determine x(-86).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than -1\/503927975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**4\/5 + 309158*z**3\/5 - 463712*z**2\/5 - 1236602*z\/5 - 463728\/5 = 0.\nAnswer: -1, -1\/2, 3, 77288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 43. Solve 4*z - h - 4*h = -11, -b*z + h = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 - 2*h**4 + 2*h**2 - 29*h?\nAnswer: -120*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43819*c**4 + 15138*c - 1 wrt c.\nAnswer: -525828*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-5) + 6\/15. Let h(v) = -v - 4. Let i(d) = d**3. Let r be i(-2). Let m be h(r). Sort u, 2, m.\nAnswer: u, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 672 (c) 0.026154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0, -10, -3, -39274.\nAnswer: -39274, -10, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*o + 2765 = 1704*o - 889*o - 547 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 15*c**8\/7 - c**7\/7 - 1705*c**4\/12 - 2318*c. Find the third derivative of s(n) wrt n.\nAnswer: 14400*n**3 - 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 895, 1793, 2691, 3589?\nAnswer: 4487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 194*r**2 - 195*r + 18. Calculate k(-195).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1596\/12)\/931)\/((-171)\/(-42))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*f - 45 + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/9))\/t*t**(-6)*((t*t**(3\/4))\/t)\/t**(2\/7)*(t**1)**(1\/36)\/(t**0*t**(4\/9)) assuming t is positive.\nAnswer: t**(-361\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4978 a factor of 124487187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(19\/3 + -2). Calculate the highest common divisor of u and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4775.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**5 - 4534*b**4 + b**2 + 4993*b wrt b.\nAnswer: -360*b**2 - 108816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-574)\/(-6) + 1\/3. Suppose -j - j = -24. Calculate the highest common divisor of j and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4264 + 4276 = 12*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28974, 115901, 260790, 463653, 724502?\n\"Answer: 2*b**3 + 28969*b**2 + 6*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8052 + 8049 + 8060 - 24161 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**(-6\/19) assuming t is positive.\nAnswer: t**(12\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -39, 0, 3 in increasing order.\nAnswer: -39, 0, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s - 3. Let v(h) = -h - 1. Let g(w) = -2*a(w) - 10*v(w). Let p(c) = -3*c + 17. Let x(f) = -6*g(f) + 5*p(f). Find the first derivative of x(b) wrt b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 985, -1, -2\/49, -381, 3 in increasing order.\nAnswer: -381, -1, -2\/49, 3, 985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 864624 = -65*r - 6*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 9*f - 6. Determine q(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-9) + (-6850)\/9864)*(6 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7207264l to millilitres.\nAnswer: 720.7264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1485, -5532, -12143, -21318, -33057?\nAnswer: -47360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/9 or 45?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -2) + 8\/1. Let r(x) = 8*x**2 + p*x**2 - 15*x**2. Let l(f) = -12*f + 4*f - 5*f + 0*f. Determine r(l(j)).\nAnswer: 169*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146046 divided by 3.\nAnswer: -48682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1592182\/(-67512) + (-9)\/(-12). Let p = -1\/2813 - o. Let w = -23 + p. Find the common denominator of -95\/14 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Suppose -p - y*p + 27 = 3*h, -2*h = -8. Solve 0 = -p*l - 1 - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -279 - -432. Let f = 150 - a. What is the closest to 0 in -4, 0.02, f, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-2\/45)))\/h**(17\/5) assuming h is positive.\nAnswer: h**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25274, -50541, -75808, -101075, -126342, -151609?\n\"Answer: -25267*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 7. Let g be (-57)\/(-9) - (-170 + 177). Which is the nearest to -1\/3? (a) -2 (b) -0.2 (c) g (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4*n - 2*d**4 + d**3*n - 159*d**3 + 14*d**2 - 27*d*n wrt d?\nAnswer: -48*d*n - 48*d + 6*n - 954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -22349 not equal to -22356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -193. Suppose -r + 40 = -4*h - 12, -h = -5*r + j. Let l = -857 - -861. Calculate the highest common divisor of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 944887493 to the nearest integer?\nAnswer: 30739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2348 and -11\/4.\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1327 - 6634\/5. Which is the closest to 1\/3? (a) 3 (b) -2 (c) h (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496642?\nAnswer: 2, 7, 106903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 1 - 15*q - 2*q**2 + 15*q to the form t + i*q + r*q**3 + g*q**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(76))**2 - (sqrt(76) + -3 + -5).\nAnswer: -2*sqrt(19) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -59. What is the remainder when 76 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v - 4. Let c be i(-5). Which is smaller: c or 17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3 - 623648*r**2 - 24419180880*r - 8614370212416 = 0.\nAnswer: -77778, -356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250598, 501184, 751770, 1002356?\nAnswer: 1252942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(495\/10) + 29\/9. Suppose -69 = -3*i - c*f, 27 + 40 = 4*i - f. Calculate the greatest common divisor of 162 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183\/732 - 2\/16*3.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s + 1213. Let w(q) = -q + 3*q + 0 + 8. Calculate -6*i(t) - w(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9974169, 9974178, 9974187?\nAnswer: 9974196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.401 + -1448.2997001.\nAnswer: -1447.8987001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1176 and 4704.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.57 - -0.57. Sort -0.8, -0.5, p.\nAnswer: -0.8, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0309 (b) -45 (c) -2.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -5, 1, -6, 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4738445, 4738447, 4738449, 4738451?\nAnswer: 4738453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8542 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 726 - 727. What is the fourth smallest value in -8, -2\/9, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4\/3 - 88*r**3\/3 + 92*r**2\/3.\nAnswer: -4*r**2*(r - 1)*(r + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.9 - -31. Suppose 117 = -3*g + u - 6*u, 4*g - 5*u = -121. Let i = -63\/2 - g. Which is the nearest to s? (a) -1\/4 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*z = 2*z - 6, z = 4*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4 - 69*l**3 + 318*l**2 + 936*l = 0.\nAnswer: -2, 0, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 13) in base 10?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:51 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 7*m = -5*m - 52614, 0 = -g + 5*m + 26295. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*z = -168*z - 3096 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*x = 50, 0*q - 2*x = -3*q + 40. Let g = q - 7. Solve g*l = -2*m - 25, 0 = 4*l - 13 + 33 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91947 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -4 (c) -4\/19 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*n - 1088 = 311, -462 = -r + 3*n. Suppose -r = 12*t - 17*t. 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 159 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36779 times 0.4?\nAnswer: -14711.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -43, 5629 in decreasing order.\nAnswer: 5629, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491914537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -731 - -473. Suppose -7*v + 8*v - 74 = 0. Let t = y + v. Round t to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 8*q + 8. Give t(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 2*o - 12. Determine y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:34 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Suppose k + k = 718. Suppose -5*n + 506 = f*g, -65 = 3*n + 5*g - k. What is n rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*p**2 + 3*b*p - 105103*b + 977*p**2 wrt p.\nAnswer: -4*b*p + 3*b + 1954*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 7. Let k be g(-5). Let m(u) = 5*u. Let x be m(k). Suppose 72 = 4*q - 408. What is the highest common divisor of x and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2054516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14885726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1379 = -17*c - 172. What is the remainder when c is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 19. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2206056 or 2206054?\nAnswer: 2206056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316 divided by -5.\nAnswer: 316\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*m - 256 = -4*n, 0 = -2*n - 5*m + 119. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 2*y + 3. What is the hundreds digit of g(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + w - 9 = -24, 0 = 5*u - 4*w - 30. Suppose 0 = -4*d - 4*x - 16, 0 = -4*d + u*x + 8 + 6. Suppose 0 = -4*z + 5 - d. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32815, -65632, -98449, -131266?\nAnswer: -164083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3 - 4 + 3*r + 6 + 0*r. Let u be (-446)\/(-8) + (-6)\/(-24). Suppose 8 - u = -2*w. Let t(a) = -15*a - 24. What is w*n(b) + 5*t(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 6. Let a = -9.9999896 - f. Round a to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 8*i**2 - 2*i**2 - 2*i**2 + 2*i + 2 as p*i**2 + f*i + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190\/3*d + 188 + 2\/9*d**2 = 0. Calculate d.\nAnswer: 3, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5\/12 - 50\/(-100)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15*i - 17. Let r(t) = -3*t - 3. Let p(a) = -2*o(a) + 11*r(a). What is p(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 36. Let o(d) = -d**2 + 3*d - 1. Let n(u) = -3*u**2 - 18*u + 6. Let p(a) = n(a) + 6*o(a). What is k(p(f))?\nAnswer: -36*f**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/20 + l**4 + 31*l**3\/6 - 20*l**2 + 148*l. Let d be n(14). Solve 4*g = 3*h + 9, -d*g + 2*h + 6 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(-1*4*sqrt(99) + sqrt(99)))\/(sqrt(1089)*1*3*-5).\nAnswer: -sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -800428, -1600847, -2401266?\nAnswer: -3201685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + h + 17 - 11 = 0, 0 = 4*t + 3*h + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1cc27?\nAnswer: -1cc25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 8*z**2 + 34*z - 11. Let a be v(11). Let f(g) be the first derivative of a*g - 3 + 0*g**2 + 4\/3*g**3. Let i(j) = 2*j. Calculate f(i(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/215898 and -83\/2.\nAnswer: 215898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528633 and 4536.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86996387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.27107056 to 4 decimal places.\nAnswer: 1.2711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3 - 3*d - 1\/3*d**2.\nAnswer: -(d - 1)*(d + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*k - 46*k = -381*k + 35399323. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + d - 27, 0 = 417*j - 414*j - 45*d + 549 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0 + 0 - l**2. Let d(k) = -5*k - 3. Let y(i) = 4*i + 2. Let n(h) = 2*d(h) + 3*y(h). Determine n(r(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 3*i**2 + 6*i - 3. Suppose 1 = f - 3, 3*b + f = 16. Let z be y(b). Are z and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/4 - -7)\/(-1). Let v be 4 + x + 1 + 4 + 33. What is the greatest common factor of 32 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**9\/1260 + w**5\/40 + w**4\/2 + 23*w**2. Let x(s) be the second derivative of t(s). Find the first derivative of x(l) wrt l.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 520.368 grams?\nAnswer: 520368000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.11 or 606\/7?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y**2 + 10*y + 18. What is s(-4)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 25 = 10*z. Is z at most 9\/245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1331) + 0.\nAnswer: -5 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1640312 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*k = -9*k + 5, -2*k + 2 = 5*f. Solve 2*u + 1 - 3 = f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m + 5. Let v(f) = 22*f - 12. Let k(i) = -i**2 + 7*i - 7. Let q be k(3). Let j(p) = q*v(p) + 12*o(p). Let l(s) = 2*s. Determine j(l(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*c + 140*c = 38 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**5 + 2*o**4 + o. Let w(g) = 81*g**5 + 9*g**4 - 16*g - 4. Let t(a) = -5*c(a) + w(a). Find the second derivative of t(m) wrt m.\nAnswer: 1720*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567\/(-126)*5\/210.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2. Let y(x) be the second derivative of -5*x**4\/12 - 29*x - 1. Give y(s(l)).\nAnswer: -80*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -9)*8\/3. Suppose 0 = 4*z - c, 4*z + 38 = 3*k - 0*z. Calculate the remainder when k is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -13*r**5\/60 + 2*r**2 + 15*r. Let n(x) = -14*x**2 + 11. Let j(f) = 5*f**2 - 4. Let z(w) = 11*j(w) + 4*n(w). What is z(i(h))?\nAnswer: -169*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnw. Give prob of picking 1 w and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -552*n**2. Let q(l) = -5901*l**2. Determine c(q(y)).\nAnswer: -19221634152*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 339\/70670?\nAnswer: 339\/70670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0 + 12. Let w(g) = 9*g + 39. Let i be w(x). Let k(r) = r**3 - 3*r**2 - r. What is k(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.157 + 0.043. Suppose -3*x - x - 4 = 0. Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1775*u**2 + 9*u - 6?\nAnswer: -3550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10123*z**3 - 10*z**2 - 18*z + 2 wrt z?\nAnswer: -60738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.5, 2\/19, -0.4, 4\/33, -0.1, 0.5, -6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 5*q**2 - 4*q + 12. Suppose 0*f = 9*f - 36. Suppose -d - 30 = f*d. Is 9 a factor of g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = 3*a + t, 4*t = -20. Put a, 3, -4 in descending order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*(-2 - 0). Let n(b) = -190*b**3 + b**2 - 2*b - 2. Is n(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -85, 2, 74168?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15178.\nAnswer: 2, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343591?\nAnswer: 343591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l + 5. Let j be (-8)\/(-10)*65\/(-13). Determine v(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 299\/27 + (24 - (-650)\/(-27)) + 1*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {d: 1, v: 1, e: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(720) - -6*sqrt(5)*-1*2)*6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2665, 5322, 7965, 10588, 13185, 15750, 18277?\nAnswer: 20760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1685436 + 30317443\/18. Let d = i + 1131. Find the common denominator of d and 65\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k - 4 + 60*k**3 - 38*k**4 - 61*k**3 - 3*k + 40*k**4 - 2*k**2 to u + c*k**2 + o*k**3 + b*k**4 + m*k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*n + 4 = -0, 0 = -4*o + 4*n + 16. Suppose 1318 = -2*y + 4*y - o*j, 0 = -2*y + 2*j + 1318. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*s + s - 6, 2 = 4*m - 3*s. Suppose -3*o - 3 = 0, k + 158 = 6*k + 2*o. Let t = -20 + k. What is the lowest common multiple of m and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/518 + 2\/37. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 7*b**2 + 7. Let q be x(-7). Is (-786)\/(-42) - (-2)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 319 - 5?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (0 - 3) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749261?\nAnswer: 53, 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 70*k**3 + 1612*k**2 + 45*k + 70. Determine t(-23).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(5 + 16\/(-3)). Suppose -4*w + 3*n + 268 = -0*n, t = w + 5*n - 44. Is w a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -237, -240, -255, -288, -345, -432?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccmycccc. What is prob of picking 1 m and 1 y?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*x + 2, 0 = 2*j - 0*x + 4*x - 28. Suppose j*t = 7*t - 15. Factor 15*n**2 - 5*n**3 + 5 - 12 - 5*n**4 + t*n - 3.\nAnswer: -5*(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-184)\/10 - ((-26)\/(-10) + -3). Let y = n + 33. Suppose -6*a = -a - y. Solve 0 = -m + a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osssllssassssloa. What is prob of sequence so?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6 + 14 = 0. Is o\/(-8) - (-162)\/8 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**19)\/(u\/(u*u**0*u*u))*(u**(5\/3)\/u)**21 assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13566451.\nAnswer: 13566451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 5 + 2 - q**2 + 2*q - 2 to the form x + n*q + p*q**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1936639 (base 10) to base 12.\nAnswer: -7948a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*s + 2*n, -n + 2*n = 5*s - 28. Suppose -4*w - b = w - 106, 0 = -s*b - 20. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -152*u**3*x - 171*u*x**2 - u + 18*x**2 + 17665 wrt u?\nAnswer: -456*u**2*x - 171*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 157*g**3 - 7*g**2 + 5*g + 5. What is a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -2*w + 156. Let u be (w\/(-50))\/((-15)\/(-50)). Which is the second biggest value? (a) -1 (b) 2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (505\/(-1818) + (-4)\/18)*22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**7\/420 + 5*r**4\/24 + 5*r**3\/6 - 2*r. Let o(z) be the second derivative of c(z). Differentiate o(h) with respect to h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 172 - 10. Calculate the highest common factor of s and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865*x - 1323 = -928*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 30\/(-9) + 6400\/75 + -81\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103656009 + -1?\nAnswer: 103656008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - (-93)\/144. Let j = d + 35\/144. What is the smallest value in -4\/9, 1, j?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 282690 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 213819\/39784 + 5\/9946. Calculate the common denominator of 74\/11907 and s.\nAnswer: 95256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 4\/3*n**3 + 38 + 31*n + 0*n**2. Find the first derivative of m(l) wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 8, -2, 0.075, -3, -3\/68?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -96983 to the nearest 100.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 1 + c - 3*c + 2*c. Is z(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 546.1 + -3473.1. Let s = y - -2926.98507. Round s to four dps.\nAnswer: -0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -2, -1936, -3 in descending order.\nAnswer: -2, -3, -172, -1936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*2*-6*2.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 24*g**5 + 120686*g**4 - 1663286*g**3 + 3452220*g**2 + 16458944*g + 3872512 = 0.\nAnswer: -15127\/3, -2, -1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -112789?\nAnswer: -112788.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705844 is divided by 213228.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 1. Let h be d(3). Put 0, 1, h in increasing order.\nAnswer: h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, y: 4}. Give prob of sequence yye.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k + 5*k - 5 + 8*k**3 - 18*k + 6*k + 3*k**3. Let c(a) be the first derivative of 3*a**4\/2 + 3*a**2\/2 - 3*a + 1. What is 5*c(l) - 3*o(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/7))\/o)**(5\/4) assuming o is positive.\nAnswer: o**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 2\/3 (c) -1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13200556019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*p + 3287 = -1160 - 415 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (198\/4)\/(-11)*(-2 + (-35)\/(-15)). Put 3, t, -223 in descending order.\nAnswer: 3, t, -223","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41514*a*h**3 - 20767*h**3 - h wrt a.\nAnswer: -41514*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -20. Suppose -3*w = 3*z + 57, -2*z - 9 = 4*w + 33. Let j = z - -22. Solve -5*c = -k - 3, -f*c - 7 = -j*k - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6829, 13656, 20481, 27304, 34125, 40944?\n\"Answer: -j**2 + 6830*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 8*w - 12. Suppose 5 = -x + 10. Let l be c(x). Solve 3 - 15 = -l*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -3, -1, -4 in increasing order.\nAnswer: -4, -3, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24834*y + 27283*y + 4*y**2 - 54365*y - 2252.\nAnswer: 4*(y - 563)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74264, 74252, 74240, 74228, 74216?\nAnswer: 74204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 52*g**2 - 297*g + 9738. Determine o(54).\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265 - 62. List the prime factors of z.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 o when three letters picked without replacement from {l: 4, o: 1, u: 2, i: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.03 (b) -1 (c) 2\/3 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 2, j: 2, p: 2, k: 3, s: 1}. What is prob of picking 1 z, 1 k, and 1 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2046 = 5*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 24*j**2 + 1. Let y be x(-1). Let o = 27 - y. Let h(a) be the third derivative of a**6\/120 - a**5\/15 + a**4\/24 - a**3\/3 + 8*a**2 - a. Determine h(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.211 times -15.455\nAnswer: 173.266005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 465*d**3 - 12*d - 57. Let g(r) = -r**3 + r. Let m(p) = 12*g(p) + q(p). Find the first derivative of m(v) wrt v.\nAnswer: 1359*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*b = 299*b + 2*h + 2, -5*h + 11 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -649935 (base 16) to base 12\nAnswer: -225b359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238 (base 14) in base 13?\nAnswer: 3c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2010?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-24)*5*(-136)\/(-255). What is the nearest to 5 in 0.4, p, -7, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 11. Suppose -o + 6*o + r = 0. Which is the third biggest value? (a) o (b) -5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (6 - 0) - 6 - -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v**11*v)\/v)))\/(v**(-1\/2)\/v))**1 assuming v is positive.\nAnswer: v**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 455, 173\/23, 0.4?\nAnswer: 173\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**5 + 3*c**5 + 16*c + 2*c**5 - 14*c**4 - 40*c**2 + 0*c**5 + 36*c**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (333\/(-74))\/((-48)\/32).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 1. Let j(v) = 41*v - 5. Calculate j(o) + 5*m(o).\nAnswer: 46*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*h = -3080, 1530 = -2*y - 2*h - 3*h. Let z = y + 1304. What is the remainder when z is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - g + 12, f - 2*g + 17 = 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (2 + -4)) + 15. Suppose 6 = 5*i - o. Let z = 1414 + -1407. What is the remainder when z is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*c + 162, -5*t - 5*c + 152 = -53. Let h = -49 + t. Let n = -746 + 736. Is h > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x + h = -1, -4*x + 22 = 5*h. Calculate the remainder when 7 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178922.4765 rounded to the nearest ten?\nAnswer: 178920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*f - 10 = 0, 2*j - 12 = 52*f - 54*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = 94*h + 4*v, -2*v + 34 - 10 - 14 = h + 11 + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 9 = 12*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 11*w**3 - 2*w**2 - 4*w - 5. Let q be t(-2). Let y = q + 113. What is the highest common factor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2836204 - 9*x + 5*x + x - 2836204.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409356 is divided by 430.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gopjoooapgojooa. Give prob of sequence pojj.\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 1113.1.\nAnswer: 1113.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 times 387?\nAnswer: 282123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 8*a**2 + 8*a - 7. Let z be c(-9). What is the third biggest value in z, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoju when four letters picked without replacement from oyjhqjqyqquoq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 13013480.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*q + 197, 2*q + 5*m + 30 = 131. Is 16 a factor of (q\/9)\/((-1)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*v + 79*v**2 - 12*v**2 - 23*v to z*v**2 + t*v + y and give z.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1659889339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2061099 and 1242.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 11) to base 3.\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/201)\/(8 - 2584\/342)?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.627 less than -0.5197065072?\nAnswer: 1.1072934928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 25. Let i(j) = -2*j + 38. Let a(z) = 5*i(z) + 8*m(z). Suppose 5*b + 22 + 18 = 0. What is the units digit of a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from skkkcdkdsrkyr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 62*y**3\/3 - 415. Let g(z) = -4*z**2. Give b(g(v)).\nAnswer: 992*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 57028 divided by 269\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + p**2 - 1. Let c(n) = -22*n**3 + 35*n**2 - 4. Let k(q) = -c(q) + 4*i(q). Find the third derivative of k(v) wrt v.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (1 - 3) - 0) + (0 - -63) + -119\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 211*a + 4405. Let c be f(78). What is the highest common factor of 3243 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 15*d**2 + 12*d + 40. Is 4 a factor of s(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26288 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13151)\/(-5) + 1 + 3\/(75\/20). Calculate the highest common factor of i and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yixrriixxr. Give prob of sequence ri.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.267898 - -37.268088. Let t = j - 31. What is t rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 56059838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07598255 + 691.\nAnswer: 690.92401745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/40 + (-65)\/(-120). Let -i*s**2 + 0 - 4\/3*s = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3. Let t be ((-1)\/3)\/((-7)\/21). Let h be p(t). Suppose -5*w - 58 = h*l - 4*l, -4*w = 5*l - 112. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.147 or -61\/19?\nAnswer: -61\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1160878 divided by -227.\nAnswer: -5114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 4.3 (c) -5 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 26 = -5*l. Suppose 4*t - 3*a + 1742 = 0, 0 = 2*a + 2 + l. What is the tens digit of 3\/5 - t\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/15)*b\/b**(16\/9)*b)\/(b*b*b**(-4\/3)*b*(b*b*b**(-19\/2))\/b) assuming b is positive.\nAnswer: b**(629\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:40 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 429928\/11 + -39084. Factor -2\/11*y**5 + 0*y + 0 - p*y**4 + 6\/11*y**3 + 0*y**2.\nAnswer: -2*y**3*(y - 1)*(y + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-120)*(-5)\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n - 9. Let q be 0\/(-1) - 3 - -3. Calculate u(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1218*a**2*r**2*z - 5*a**2*r*z - 153433*a*r**2*z - 2*a*r*z + 5700345*a*z wrt r?\nAnswer: -2436*a**2*z - 306866*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13310771 - -3?\nAnswer: 13310774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, i: 3}. Give prob of picking 1 r and 2 i.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132211 + -2100222?\nAnswer: -1302011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 25*w**3 - 2*w + 2*w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eze when three letters picked without replacement from {z: 2, e: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000132603 to seven dps.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.032 - 4.068. Let q = v - -23.1. Let x = -19.000052 + q. What is x rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -23*k + 6. Let u be i(0). Suppose 2*p - u*p = 3*v + 1, -5*v = p + 13. Calculate the highest common factor of 6 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7787a (base 14) in base 13?\nAnswer: -a1ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w*z**5 + 355960*w*z**4 + 9501*w*z - 8*z**3 - 41*z**2 wrt z.\nAnswer: -120*w*z**2 + 8543040*w*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486240271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - u**2 - 2*u**4 - 3*u**4 + (u - u + 3*u)*(0*u + 3*u**3 + 0*u) as c*u + g*u**4 + o + t*u**2 + d*u**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -40444304 (base 5) to base 16\nAnswer: -5018f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 l when four letters picked without replacement from pbbbodblblbblplllppo?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, i: 1}. What is prob of picking 3 l and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x = 47*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.89 * 1814\nAnswer: -5242.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 121, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 17\/24*d**4 + 1\/2*d**3 - 33*d**2 + 0 - 1\/10*d**5 + 0*d. Factor x(v).\nAnswer: -(v - 3)*(6*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 425*n**3*p**3 + 445*n**3*p**2 wrt p?\nAnswer: 2550*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -13231515?\nAnswer: 13231541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 100\/151 + 13349\/2416. Calculate the common denominator of h and -62 + 71 + (-647)\/78.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*x - 252*x = -136*x - 930 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1276515 micrograms?\nAnswer: 127.6515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-8 - 142)*(-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - x - 8. Let r(z) = 4*z**2 - z - 7. Suppose 5*y + 26 = -2*o, 0*o - 3*o - 12 = 3*y. Give y*r(q) + 5*b(q).\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = h - 5*h. Let c be ((-8)\/(-3))\/(h\/(-42)). Let t(v) = 2 + 0 - 2 + c*v. Let s(x) = 3*x. What is -11*s(z) + 2*t(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*u - 10 = 0, -5*x - 20 = -3*u - u. Suppose x = 3*l - 10 + 10. Solve 6*n - n - 20 = l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 4*p + 1. Let d(o) = -11*o**2 + 8*o + 2. Let y(i) = -d(i) + 2*g(i). Let l(h) = -13*h**2 + 2. What is l(y(v))?\nAnswer: -2197*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {f: 1, z: 2, t: 1, g: 1, i: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -22*j**2 + 8*j + 3. Suppose -2*d - 16 = -8. Let o(h) = -21*h**2 + 8*h + 3. Let t(r) = d*i(r) + 5*o(r). What is the second derivative of t(u) wrt u?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7)*7\/(-4))\/(6\/144)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 4*f + 60 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1754879 rounded to four dps?\nAnswer: -0.1755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 5*i - 3*i)*(1 + 0 - 3)*(4 + 16 + 4).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -11.\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f + 19*f - 63*f + 18*f - 511*f**3.\nAnswer: -511*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -39, -1859744 in descending order.\nAnswer: 4, 2, -39, -1859744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53543.\nAnswer: 7, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 2*z - 6*z**2 + z**2)*(5*z + 11*z**2 - 3*z**2 - 4*z**2).\nAnswer: -8*z**4 - 2*z**3 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0*d**2 + 0 + 4\/3*d**3 + 14*d. Let t(l) = -2*l**2. What is t(k(s))?\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19488960*-1.6\nAnswer: 31182336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -3*p**4\/2 - 77*p - 252. Let a(l) = -5*l**3 - l**2 - 78. Let s(u) = 3*a(u) - 2*t(u). Differentiate s(m) with respect to m.\nAnswer: -9*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.41 + 1.19. Let m = h - 10. Which is the third smallest value? (a) m (b) 9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -4623*d**4\/4 + 15*d**3 - 16*d**2 - 2. Let p be w(5). What is p rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**8)*h**(-10)*(h*h\/h**(-2\/5)*h)**(-29) assuming h is positive.\nAnswer: h**(-583\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**2 + 8 - 8)*(147*y + 261*y - 21*y).\nAnswer: 3096*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6 and 1\/8*(-712)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(170\/(-16))*4*(-10)\/176?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + 2*n**4 + (-3*n**2 + 3*n**2 + 2*n**2)*(3*n**2 - 3*n**2 + n**2) + n**4 + n**4 - 3*n**4 - n**4 - 3*n**4 + 3*n**4 - 3*n**3)*(-2*n + 7*n - 18*n).\nAnswer: -26*n**5 + 39*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185704 is divided by 61882.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*l + 28 = 3*l, -12 = 3*l. Let k(s) = s**t - 12 - 12*s + 3 + 4*s**2 + 6*s**2. List the prime factors of k(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4\/3 (c) 12 (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002687 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((3 - 7) + 4)\/1*(6 + -5). Let z = 2.7 + -1.8. Sort -1, v, z, -1\/2.\nAnswer: -1, -1\/2, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + (sqrt(119)*-1 - sqrt(119))))\/sqrt(7) - (2*sqrt(136))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-75)\/(-30) + 442\/(-164). Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 22*q**3 - 9*q**2 - 3*q + 11. Let i be k(1). Solve -f - i*x + 20*x = -2, 7 = 2*f + 3*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218216 is divided by 557.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202 - 199. Put d, 2\/7, 4\/7, 0.3 in ascending order.\nAnswer: 2\/7, 0.3, 4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/83, 0.3, -0.4, -0.3 in descending order.\nAnswer: 0.3, 2\/83, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 3311?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqwwrqrrrqwrwq. What is prob of sequence wrr?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 0 + (-21 - 43). Find the common denominator of 57\/10 and (-17)\/(-68) + l\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (464*k - 226*k - 320*k)*(-2*k**4 - 3*k**4 + 2*k**4).\nAnswer: 246*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -24, 19, 0, 4, -3 in descending order.\nAnswer: 48, 19, 4, 0, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 5*d**2 - 6*d - 2. Let t be g(6). Let f = t - -4. Solve k - f = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2854*d**3 + 1426*d**3 + 1426*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 114\/79339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/685, 0.2, -3 in descending order.\nAnswer: 5, 0.2, -2\/685, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2645 divide 560906635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 - -2953\/13. Let w be (-4)\/8*(-1 + 7 + -6). Suppose w = -55*m + 45*m - 10. Which is the closest to m? (a) l (b) 1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34694, -34696, -34712, -34748, -34810?\n\"Answer: -r**3 - r**2 + 8*r - 34700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Which is the second biggest value? (a) -2\/11 (b) o (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 2, z: 1, i: 3, p: 2, t: 3}. Give prob of picking 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = -5*t. Let m be -3 + (0 - t) - -3. Suppose -2*g + g + 3*v = -3, -5*g + m*v + 2 = 0. Solve d + g = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxxxxhhxxxxxxhxhhxh. What is prob of picking 1 h and 3 x?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889175631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-185)\/(-80)*4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = -2*f, 0*t - 4*t = -5*f + 58. What is the remainder when 628 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 4186 = -7*m. What is the greatest common factor of 234 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*f**2 + 104*f**2 + 135*f**2)*(-2 - 4*f + 3 - f)*(0 - 2 - 1) as u*f**3 + j*f + n*f**2 + w and give u.\nAnswer: 3945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-285)\/27*4\/(-30). Let s = w - 2\/27. Determine t so that -2*t**3 - 1\/3*t**5 + s*t**2 + 4\/3*t**4 + 0 - 1\/3*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5799*a + 3*a**3 + 5778*a - 11577*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 19*h**2 - 244*h - 2. Let z(u) = -44*u**2 + 491*u + 4. Give -9*w(t) - 4*z(t).\nAnswer: 5*t**2 + 232*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 406046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/5 + 50*f**3\/3 + f**2 + 11*f - 18. Differentiate m(p) with respect to p.\nAnswer: -12*p**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:09 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + ((-9)\/(-3) - 2). Suppose p + 10 = 4*n + 6*p, p - j = -5*n. Suppose n = -3*m - 0*m + 6. Calculate the smallest common multiple of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 4*z + 3*c, z - 10*c + 7*c = 33 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42584.\nAnswer: 2, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10171 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b = 83*b + 94 - 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = k - 1, -3*k + 5*r + 35 = 0. Suppose -2*a = k*a - 21. Suppose -4\/11*g + 6\/11*g**2 + 0 - 2\/11*g**a = 0. What is g?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(209)\/(sqrt(176) - (sqrt(176)*2 + sqrt(176)) - sqrt(176)))**2.\nAnswer: 199\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 + 3. Let c = -23 + 25. Calculate the remainder when 34 is divided by g(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-6423\nAnswer: -6422.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25540337\/150 + 170268. What is the common denominator of -13\/270 and x?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*z - 20*v + 17*v, 0 = -z + 2*v + 26. Suppose -3*l - g = l - 14, 9 = 5*l - 3*g. Solve -16 = 5*b - l*p, z*b + 4*p = p - 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 8*c**2 + 8*c + 11. Let u be n(-7). Let o be 6\/9 - u\/(-3). What is the greatest common divisor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - 21\/(-9). Suppose 2*n + 2*f = 12, -14 - 10 = -4*n + y*f. Suppose 5*r - n*r = -37. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1676\/7 or 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 138. Does 14 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165416 at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 58*g**2 - 188*g + 4094. Calculate t(60).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673, -1387, -2099, -2809, -3517?\nAnswer: -4223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 2*w = -200. Let r = 834 - 836. Is r <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 126, 107, 72, 15, -70, -189, -348?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*s + 18, 4*v + 0*s + 2*s = -2. Let l(b) = 33*b + 1. Is l(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 594171?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 w when four letters picked without replacement from bbshssbbbbxwsbs.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Let b(a) = -a**3 - a**2. Let o be b(0). Solve o = 3*f + 12 + h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**2 - 7*o - 5. Let z be m(-4). Suppose 3*v = 3*b - 4755, -2*v - 2*b - 3152 = 2*b. Let s = z - v. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*i + 1493, -9*b + 3 = -8*b. What is the greatest common divisor of 286 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*i + 1091, 172 = i - 5*n - 63. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6309 bigger than -6305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6475, 12981, 19493, 26011?\nAnswer: 32535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(96)\/(sqrt(8)*-2)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 13 = -0*u - n, 3*u + 15 = n. Let m = 0.7 - -6.3. Let j = 6.8 - m. Which is the second smallest value? (a) -2 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -20*o + 1161. What is i(58)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 13*t**2 - 27*t + 49. Let p be i(-15). Suppose p*o - 105 = -17*o. What is the greatest common divisor of o and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2306 + 752 = 74*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, s: 4, b: 3, j: 3, r: 5, e: 4}. What is prob of sequence jjsj?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -2 - 218\/(-2530). Let q = d - -11\/115. Calculate the common denominator of q and 1023\/(-495) + 2\/3.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 175753 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 11. Let t be g(12). Let c(u) = u**3 + u**2 - u. Let a(p) = -p**3 - 2*p**2 + 2. Determine t*a(m) - 2*c(m).\nAnswer: -m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 20*w**2 + 20*w + 12. Let d be v(-19). Calculate the remainder when 117 is divided by 4\/10*(d + 82).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55304 is divided by 7719.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-20\/9)*s*((s\/s**(-5\/2)*s*s)\/s)\/s assuming s is positive.\nAnswer: s**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -419, -599, -761, -899, -1007, -1079?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxgsgxgxssxgxgggx. What is prob of sequence sxx?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -17*p**3 + p**2 + p. Let x = -5 - -4. Calculate the remainder when 50 is divided by w(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 5. Let q be j(4). Solve 3*h = q + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 5, v: 3}. What is prob of sequence eee?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -47947 * -0.5\nAnswer: 23973.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/8))\/(o\/o**(-7))*o\/(o\/o**(2\/17))*o**(-2\/3) assuming o is positive.\nAnswer: o**(-3029\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -41, -42, -43, -44?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllkllklllkkkklv. What is prob of sequence lll?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 23. Let i be n(-8). Let y = 1 + -1. Suppose y = -2*g + 3*g. Solve z - i = -g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3*i*i)\/i*i*i*i*i**(-5\/3)*(i**(1\/5)\/i)\/(i**1\/i))\/((i\/(i*i*i\/(i**(-1)*i))*i)\/((i*i**(-1\/4))\/i*i))**(-23) assuming i is positive.\nAnswer: i**(-2143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - q**2 - 4*q**2 + (-2*q + q + 2*q)*(2*q - 3*q + 0*q) + 2*q**2 - 5*q**2 + 2*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 2 = 3*z. What is the tens digit of 6\/4*z\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/1155)\/((15\/36)\/(150\/60)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6666079889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -604*s + 89. Is p(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 544508*u**4 - 13736*u - 32.\nAnswer: 6534096*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 91.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2732.009 plus -0.3?\nAnswer: -2732.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 - 31059208.\nAnswer: -31059187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/80 and -113\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*415473.\nAnswer: -37392.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2453.96533 + -2454. Let u = -0.38237 - l. What is u rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343689 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 22*v**2 + 57*v - 48. What is h(19)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19 + 1)*(-3)\/9. Let c(a) = -a**3 + 5*a**2 + 8*a - 10. Let t be c(n). Solve -p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -401 and -0.08?\nAnswer: 32.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2046*q + 1023. Let k be n(-8). Is -15345 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298286 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8397, 16876, 25489, 34308, 43405, 52852?\nAnswer: 62721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*u = 288*u + 92. Let d(v) = -v**2 + 21*v + 123. Is d(u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13575 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -107 - 15933885988.4\nAnswer: -15933886095.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 103600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624, -1246, -1868?\nAnswer: -2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 minus 0.2?\nAnswer: -247.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 6:21 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*m - 20, -9*w = -2*w + 5*m - 20. Solve -5*r - 15 = w, -5*r - 15 = 3*p - 2*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6650 divided by -950\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -473*m**2 - 853*m + 217*m**2 + 2 + 253*m**2 - 2 to the form f*m**2 + v*m + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 2*b - 11*b + 4*b**2 in the form l + c*b + w*b**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3.943 (c) 9 (d) 3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5431 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o. Suppose 4*s - k - 418 - 594 = 0, -4*s = -3*k - 1012. Let i(q) = -253*q + s*q + 2*q**2. Give u(i(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r + 4. Let b be f(-4). Let m(d) = d**3 - 4*d**2 - 3*d + 3. Let y be m(b). Let x(u) = -2*u - 3. What is the units digit of x(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/119 - 58\/(-56). What is the fourth smallest value in 7, -1\/6, -3, d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/5423238 and 41\/122544.\nAnswer: 997875792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3988959611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 7*a - 6. Let x be i(8). Suppose h + 3*s - 13 = 0, 4*s = 6 + 10. Solve l + x = h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7029750 a multiple of 1625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 379 + 3?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18*r + 5. Let z be p(15). Let x = z - -675. Calculate the greatest common divisor of x and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2348 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3123 = -3*n, 3*n + 0*i + 5*i = -3105. Let f = -34 - 122. Calculate the common denominator of 41\/22 and 1244\/n - 8\/f*-3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 15*v - 80 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3591a (base 13) to base 9\nAnswer: -158644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*u - 174, 3*u + 220 + 83 = 3*d. Let a = -95 + d. Let l be 3 + a\/(-1) - 4400001. What is l rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-42) + (-4)\/(-14). What is the units digit of ((-1)\/(-2))\/(s\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121202 - 24031?\nAnswer: -200233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 16 + 11. Suppose 3*g = -r, 2*g + 4 = 4*f - 6. Let a(z) = 2. Let q(o) = 4*o. Let y(h) = f*a(h) - 2*q(h). Differentiate y(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1123 - 1122. Sort -4, 4, 144, l.\nAnswer: -4, l, 4, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/10 + (-4)\/10. Suppose 0 = -l*s - 15, -4*p + 27 + 3 = -2*s. Solve 4*f + p*w = 24, 2*f - 3*w = -6*w + 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(2 - (0 + 14)). Let g be (-1)\/2 + 9\/2. Suppose -m + 5 = g*m. Is y greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -2*t + 3*i + 71, 5*i = 3*t - 94. Calculate the highest common divisor of 385 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/6, -0.4, 0.6, 1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12925969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40d4 (base 16) in base 10?\nAnswer: -16596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.232 - 4.768. What is the nearest to 0.2 in -12, 2\/11, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1)\/(-3) + (-6)\/(-78)*15\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.254 times -1597?\nAnswer: 14778.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j**5 + 7508*j**4 + 44266*j**3 - 485816*j**2 - 2839480*j + 849856 = 0. What is j?\nAnswer: -7, 2\/7, 8, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0126 (b) 0.53 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 100, 110, 120?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) + (-1*sqrt(18))\/sqrt(6) + sqrt(3)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Suppose -c*a + 2*a = 9. Let t = a + 5. Solve 3*m + t = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -82, -47, -1.\nAnswer: -82, -47, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/816*(-12)\/15?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -124 + 4. Let r be 6 - b\/(-4) - -249. Calculate the greatest common factor of 332 and r.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5183641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**2 + 10*w**2 + 8*w**2)*(0*w + 0*w + 2*w**2).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*a + 51, 196345*a + 3*f = 196340*a - 53 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53 (b) -2 (c) 3 (d) -1\/5 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/9 + 28460*n\/9 + 79821392\/9 = 0.\nAnswer: -10388, -3842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 210842 to the power of 1\/2, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3047427*x**2 + 7281439*x wrt x?\nAnswer: 6094854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1521336*r + 226 - 3042917*r + 1521441*r - 226.\nAnswer: -140*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1114*v - 366510. Calculate r(329).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3220 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -5*t**3\/6 + 239*t**2\/2 - 17*t. Let s be j(44). Is s > 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 41, 75, 121, 179, 249?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -56. Is 2 - 4 - -445 - i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1014 divide 7429701428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8628*c - 224320. What is n(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -8.98?\nAnswer: -71.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 810\/((-1845)\/(-41))*-6*2\/(-2538)\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.772365 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -6*z - 24. Let a be 0*(-4)\/(z - 4). Suppose 2*x - 5*d - 5 - 15 = a, -4*x = d - 18. Solve 14 = -x*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l = -41*l + 17*l - 490 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 435, 635, 835, 1035, 1235?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 + k**2 - 3*k**2 + (-7*k - 4*k + 7*k)*(-k - 3*k + 6*k) + k - k + k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-1)\/(1\/116). Suppose 3*o - u + 54 = -263, 2*o + 3*u + 204 = 0. Let g = o + k. Solve g = 3*l + p + 4, 3*p + 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2022 or -12625?\nAnswer: 2022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142163203, -284326412, -426489623, -568652836?\nAnswer: -710816051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/10, 96, 5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*a - 18. What is the common denominator of -29\/24 and (4\/(-1))\/a + 3144\/(-576)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.061 - -0.139. What is the smallest value in -21, m, -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpdddddqyydd. Give prob of sequence dd.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 161913 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3669 - 2300. Let r = -857 + o. What is r rounded to the nearest 10?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53611 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (12 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2023*q**2 - 4047*q**2 + 5*q**3 + 2024*q**2.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 340087296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, -12, -4, -42 in increasing order.\nAnswer: -42, -12, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -16*p - 44. What is c(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74\/7 + -134\/63. Find the common denominator of 107\/24 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - -221?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/3768050 and 44\/18445.\nAnswer: 26376350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -65, -122, -179, -236?\n\"Answer: -57*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l + 253. What is the remainder when c(15) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 23 + 4*i**2 + 0*i**2 - 42 - 4*i. Does 26 divide w(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118031952 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -20\/27, 13, -2\/11.\nAnswer: -9, -20\/27, -2\/11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r - 7 = 3*p, -5*r + 4 = p. Let i(h) = 3*h**3 + 6*h**2 - 4. Let y(x) = x**2. Let k(g) = p*i(g) + 6*y(g). Differentiate k(b) with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/2 - -1\/6. Let q = 6 + -11. Let o = q + 7. Which is the second biggest value? (a) o (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 2*k - 3*k - 2*k. Let f(t) = -2*t**2. Calculate q(f(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*a - 45*a + 101*a + 2*a**3 - 89 - 24*a**2 - 39 = 0. Calculate a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16658167543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:27 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*w**3 + 97054*p*w**2 - 59*p - 2*w**3 + 2*w**2 + 9469*w wrt w?\nAnswer: 6*p*w + 194108*p - 12*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12758 - -12763. Solve -o = 0, -3*y - g*o + 8 = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 77 + 62. Suppose 36 - 8 = 3*k - 4*f, 4*k + 3*f = 29. What is the remainder when k is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5\/11 + 3100*n**4\/11 - 3096*n**3\/11 - 3100*n**2\/11 + 3098*n\/11 = 0?\nAnswer: -1, 0, 1, 1549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 26*l + 11. Let j be u(-11). Let g be 1914\/j - (-1 + 6\/8). Calculate the greatest common divisor of 55 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/1147 - (9 - 9).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 2*h**3 - 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15568 and 504.\nAnswer: 140112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, m: 3}. What is prob of picking 1 m and 1 v?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 28 = -4*a, 5*u - 3*u + a - 27 + 36 = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 222*i - i**2 - 3*i**3 + 221*i - 255*i to v*i + c + x*i**3 + r*i**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/(4\/1044*-3). Let k = -24 - j. Solve 4*n - 8 = -0*c + 2*c, 0 = -k*n - c + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 8*z = 5. Solve -2*p = -2*g, z*p + 3*g = 14 - 54 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-850)\/(-30) - 27)\/(2\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -40. Let f = n + 14. Suppose g = -f*p + 8, 4*g = -4*p + 9 - 1. Let u(z) = z**2 - 8*z + 5. Give u(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.328 + -0.148. Put n, -3, -2 in ascending order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**6\/90 - i**5\/45 + i**4\/9 + 7*i**2\/2 - 8*i. Let h(a) be the first derivative of x(a). Suppose h(s) = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) 0.05 (c) 0.3 (d) 3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -615a362 + a4?\nAnswer: -615a269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 776685*y + 2330028.\nAnswer: 3*(y - 258892)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 - p**2)*(80 - 80 - 11*p**2).\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**0\/n)\/n)\/n)\/(n*n**0\/n*n))\/(n**(-1\/9)*n\/(n\/(n\/((n**(-2\/3)\/n*n)\/n)))*n) assuming n is positive.\nAnswer: n**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 6*g**3 + 7*g**3)*(-355*g**2 - 388*g**2 - 89*g**2 - 330*g**2).\nAnswer: -16268*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7616 + -10642?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 365655523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*y = 94 - 464. Suppose -v = -4*s - 7, 4*v = 2*s - 8 - 6. Put v, -1, y in decreasing order.\nAnswer: y, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/4 + 4)\/(1*-1). Suppose -4 - 6 = 2*z, 2*j - 4*z - 48 = v. Calculate the remainder when 79 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 17*i**2 - 20*i - 40. Let v be 28\/6 + (-10)\/15 - -3. Suppose 4*p + 61 = -v. Is 25 a factor of r(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4654263, 4654265, 4654267, 4654269?\nAnswer: 4654271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + q + 1. Let w be z(-2). Sort w, 1, -3.\nAnswer: w, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1101, 1195, 1351, 1569, 1849, 2191?\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1788 = -2*w. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u + 321900 = -5*u. Calculate the highest common factor of 45 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwww. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 + -137. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(-4\/3))*o)**48)**(-7\/11) assuming o is positive.\nAnswer: o**(-1120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/6, -2\/5, -10, -4, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 6*w**2 + 11*w - 11 + w**2 + 11*w - 23*w in the form d*w + l + z*w**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11*-1 + 415575\/275 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + 35dbf?\nAnswer: 35dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 2}. What is prob of sequence zdzd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 281, 281, 255, 191, 77, -99?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(-6))\/7)\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.01. Let d = g + 0.99. Let r = 3.8 - -0.2. Put r, d, 3 in ascending order.\nAnswer: d, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 12 (c) 799 (d) 3 (e) 9 (f) -3\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 13 = 3*c. Which is smaller: c or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 20480264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 615424163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1b6147 (base 14) to base 15\nAnswer: 1447b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q**2 - 4*q**2 + 21*q**2 - 2*q**2 - 3*q**2. Let l(n) = 5593*n**2. Calculate r(l(p)).\nAnswer: 62563298*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i**2 - 14*i**2 + 3*i**2)*((2*i + 3*i + i)*(2 - 2 - 2) + i + 0*i + 0*i + 3*i - 3*i + 2*i - 2*i + 0*i + i) as n*i**2 + g + a*i + p*i**3 and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 837856288 and -4.9595.\nAnswer: 837856283.0405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 162282.\nAnswer: 811410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 289*w + 583. What is c(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -786*c**2 + 2012*c + 2029. Differentiate o(y) with respect to y.\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/13 + 8*q\/13 + 120\/13 = 0.\nAnswer: -6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -144122463\nAnswer: 1\/48040821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -a31884 (base 11) to base 13\nAnswer: -460190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**31))**(-37) assuming z is positive.\nAnswer: z**(-1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - 62\/(-4)*-2. Let i = -139\/4 - y. Factor 1\/4*w + 0 - i*w**2.\nAnswer: -w*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 55?\nAnswer: -2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2900050 and -91\/6200?\nAnswer: 11600200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*i - 14 = -11, u - 1 = 3*i. Calculate the common denominator of 73\/22 and (-27)\/360 + u\/1.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 118.1 (b) 3\/4 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 18. Calculate the remainder when (-9)\/(-4)*(-8140)\/(-111) is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 2, l: 1, s: 3, g: 1, c: 3}. Give prob of picking 1 l and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*p + 9*p + 19*p + 26*p + 17*p + 21*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0955796 nanometers in millimeters?\nAnswer: 0.0000000955796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -6, -57.\nAnswer: -57, -33, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3799 (b) 5 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 2*n**2 - n + 10. Let b be t(0). Suppose -10*p = -50 + b. Solve 4*r - r - 9 = 0, p*i = -5*r + 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4*-8)\/(2\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2186 * 5983.9\nAnswer: 13080805.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(300) - (-2 + sqrt(3) + 1).\nAnswer: 1 + 39*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*t*z**4 - t*z**3 - 4*t*z - 2*z**4 - 4*z**3 + 2*z**2 - z + 269 wrt z?\nAnswer: 2088*t*z - 6*t - 48*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1161 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 3 = 0. Let g = 6 - f. Suppose g*x = 26 + 19. What is the remainder when 57 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1074*q + 3*q**3 - 1074*q + 0*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165.19 - -165. Let g = 0.0184 + 6.1716. Let n = g + r. Which is smaller: 2\/5 or n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -1 + 4*m**2 + 0*m - 1\/3*m**3. What is the units digit of y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 26*l + 288 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*g**3*m**2 - 2*g**3 + 82*g**2*m**2 - 1393*g**2 - m**2 wrt m?\nAnswer: 26*g**3*m + 164*g**2*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppy when three letters picked without replacement from {k: 2, p: 2, y: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3090 = -3*j, 5*q - 2*q = -6. Let c(b) = -2*b - 1032 + j. Let x(w) = 16*w. What is c(x(s))?\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -33818?\nAnswer: -33820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -7*o**5\/2 + 227*o**4\/12 + 56*o. Find the third derivative of f(j) wrt j.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/a)**(5\/2)*a**(-1\/6)\/(a*a**(-6)*a))**(-16) assuming a is positive.\nAnswer: a**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.053 + -0.053. Which is smaller: a or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65.826 and -355.4.\nAnswer: -23394.5604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17901994063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 4*q**2 - q. Let j be l(-4). Let a = 98 - 94. Solve s + a*s = -j*p - 31, -3 = s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/25704 and -25\/1134?\nAnswer: 77112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504 and 3920?\nAnswer: 35280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4045 and 7040727?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 4*x**2 + 6. Let l be n(3). Suppose -4*k - 22 + 2 = 0. Let o = -35 + 36. What is the third biggest value in l, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 319373 and 5?\nAnswer: 1596865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194454 and 252.\nAnswer: 2722356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a week in hours?\nAnswer: 4620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 784.\nAnswer: 22736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/60 and (-899)\/(-310)*(-20)\/144.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 778932 to the nearest one thousand.\nAnswer: 779000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = h - 9, 0 = 3*u + 5*h - 1 - 20. Suppose -d = -u*d + q + 6, -2*d = -4*q - 10. Suppose -d + 24 = z. Solve -z = -3*v - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -20. Let w = 3 + -6. Let d = w + 2.5. What is the nearest to 0 in f, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5376 and -137\/24931584?\nAnswer: 174521088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 19168*s**2 - 1995522*s.\nAnswer: 2*s*(s - 9687)*(s + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-5)*(-4)\/6. Let q = 0.76 - 0.46. Let b = q + -0.1. What is the closest to -3 in v, 1, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o - o + o + o - 3*o + (3*o - 2*o + 0*o)*(8 + 8 - 4))*(o**3 - 4*o**3 + 2*o**3).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v\/(v**(1\/6)*v))\/v*v)**(1\/3) assuming v is positive.\nAnswer: v**(11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -3*s**6\/40 + 43*s**5\/20 - 161*s**4\/8 + 49*s**3\/2 - 5*s**2. Let y(h) = 0. What is h?\nAnswer: 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -17505?\nAnswer: 17508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4\/7 (c) -2\/5 (d) -1.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g - 22. Let c be h(8). What is the derivative of 4 - c - 9 + 81*v - 24 wrt v?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from qbnco.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4620274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/((-2)\/16). Suppose -4*g + 14*z = 11*z - 8, 5*g - 3*z = 10. Suppose -8 = -g*c - 4, -l = -5*c - 11. Solve 5 - l = j*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(18) - 5*sqrt(18))\/sqrt(6) + sqrt(6)\/(sqrt(2)*5))**2.\nAnswer: 588\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1085329851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -5*s + 9*s. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -46. Suppose -4*x + m*x = -24. Let g = x - -7. Which is smaller: g or -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 114626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - 4*g**2 + 2*g**2 + (-1 + 1 + g)*(-2*g + 0*g - g))*(16 - 12 - 12) as k*g**2 + s*g + q and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*b - 52 + 32, 0 = -4*l + 2*b - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359679243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/(294\/(-1029))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79797*y**3 - 429*y**2 + 12.\nAnswer: -478782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 8 (c) 3 (d) -0.1 (e) -0.978 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6 - (-36)\/4) + 41\/195.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.6, 0.4, -3\/4, 0.024?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11285*l**2 - 3677?\nAnswer: -22570*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12276 - -12268. Let i(z) = 5*z + 9. Determine i(w).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**2 + 12*n - 7. Calculate j(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 69.322?\nAnswer: 69.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*r - c - 1, -4*c - 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1374462280.1000147 + 1374462342. Let n = -61.9 + a. What is n rounded to seven decimal places?\nAnswer: -0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:48 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 6*h**3\/11 - 588*h**2 + 410946*h\/11 + 62517420\/11 = 0.\nAnswer: -70, 149, 999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -1)*(-1)\/3. Do q and -2\/43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*d = -1, 2*d + 332 = 3*k + 318 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34739*b**2*i**3*q**3 + b**2*i**3*q**2 + 3*b*i**3*q - 12*b*i**2 - 16*b*i*q**2 - 2*i**3*q**3 + 2*i wrt q?\nAnswer: 208434*b**2*i**3 - 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.35. Let r = -72 + 76.95. Let b = j - r. What is the closest to -1 in b, 2\/9, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*-6 + -2. Sort -4, 3, n in increasing order.\nAnswer: -4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 - 2*q**3 + 4*q**2 + (-3 + 3 - 1)*(0*q + 0*q + 2*q**3) + 17*q**3 + 15*q**3 + 5*q**3.\nAnswer: 33*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7907385*p**4 - 7907381*p**4 - 5*p**5 + 2*p**5 - 79*p**6 + 2557*p**2 wrt p?\nAnswer: -9480*p**3 - 180*p**2 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b**2 - 4*b**2 - 5*b**2 - 1.\nAnswer: 31*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 3 + 1 - 4*c. Let u(s) = -45 + 18 + 13 + 19 + 7*s. What is -5*b(m) - 2*u(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(-5 + 3). Suppose -40 = -x*m - 2*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 2, z: 3}. Give prob of picking 2 z and 1 o.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*z\/(z**(-2\/3)\/z)))\/z*z)\/z)**(1\/68) assuming z is positive.\nAnswer: z**(-2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-488)\/416 - -1)\/6 and 93\/10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 4, 65, -0.2, -5\/2 in descending order.\nAnswer: 65, 5, 4, -0.2, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-11)*i**(-4)*i**(-2\/5)*(i\/i**(-14))\/i assuming i is positive.\nAnswer: i**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 31 - 3 = 0. Let m = 9 - -23. Suppose -2*o + m = 24. Solve l + 3 = -j + p, -o*l + 16 = j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0467782 and 367.\nAnswer: 366.9532218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.0449508.\nAnswer: 0.001348524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/24 + 55*a**3\/18 + 497*a**2\/12 + 147*a\/2 + 2921. Determine n so that p(n) = 0.\nAnswer: -7, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2. Suppose -5*t = -183 - 497. Let u(i) = -3*i + 3*i - t*i**2 + 133*i**2. What is w(u(a))?\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -269*z - 6117. What is the least common multiple of 44 and l(-31)?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240030 (base 6) to base 15\nAnswer: 6239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c - 3 - 6585*c - 1 - 563*c + 396*c.\nAnswer: -6777*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/52415 and -51\/65161375?\nAnswer: 716775125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(-3\/4)*d)\/d)\/d**(-2\/19) assuming d is positive.\nAnswer: d**(27\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - 0 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(5\/6)\/(v**0)**(31\/4))\/((v**(-2\/9)\/v)**(1\/4))**(-9\/5) assuming v is positive.\nAnswer: v**(-133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -174*m**2 - 315 wrt m?\nAnswer: -348*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 345 divided by 5\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -560614 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 458865716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*w - 637*w - 70 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36284 is divided by 5995?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 5, -17, 0.4, -46.3, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160664*d**2 - 93942*d?\nAnswer: -321328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-12))\/(-2*11\/((-176)\/(-1)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/3 + 351004 + 3 + -4. What is t rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 - 335152*k - 1675735 = 0. Calculate k.\nAnswer: -335147, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 95*r**4 + 5 - 4 + 41*r**4 - 137*r**4 - 161*r**2 + 2*r**3 in the form d + x*r + w*r**4 + j*r**2 + z*r**3 and give j.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.333541cm?\nAnswer: 93.33541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 945 and -111843.\nAnswer: -105691635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6595\/312 + -219\/13. Calculate the common denominator of a and 59\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + 9\/(-30). Let z(w) = w**2 - 4*w + 3. Let a be z(4). Let v be -1*a\/9 + 1. Sort 0.3, v, x.\nAnswer: x, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*m**2 - 55*m**4 + 66*m**4 - 44 + 45)*(0 + 3 - 2) in the form r*m**4 + j*m**3 + t + i*m + b*m**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 145021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**4 + 18*o**3 + 19*o**2 + 5*o - 16. Let s(w) = 7*w**4 - 81*w**3 - 76*w**2 - 21*w + 63. Let t(m) = -18*d(m) - 4*s(m). Factor t(c).\nAnswer: 2*(c - 2)*(c - 1)*(2*c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**9\/42 - 2*u**5\/15 + 10*u**2. What is the third derivative of z(i) wrt i?\nAnswer: 1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 5b79?\nAnswer: 5b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 39268?\nAnswer: 7460.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/7 + 1818*k**3\/7 - 5484*k**2\/7 - 10928*k\/7 + 14592\/7 = 0. Calculate k.\nAnswer: -912, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 17*o - 3. Calculate r(12).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**34\/(l**33*l))**13)**45 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 57560.\nAnswer: -1\/11512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 22*c = -68. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-510)*-15)\/((-21)\/15).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -9 (b) 1.2 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -785854323.\nAnswer: -785854322.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*z + 4*h, 4*z + 2*h - 2 = 2*z. Let q be (z + -5 - -5) + 4. Suppose -3*g = -2*t - 4, -g + 2 = -q*t + t. Put 0, t, -4, 17 in increasing order.\nAnswer: -4, t, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -1\/3*f**3 - 5*f - 5\/2*f**2 - 2. What is z(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 + 40*w + 1062. What are the prime factors of m(-43)?\nAnswer: 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3162 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 1. Let m(y) = -y. Let s(w) = -w + 4. Let t(u) = -6*m(u) + s(u). Let a(x) = -t(x) - 4*v(x). Calculate a(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-1*-2) + sqrt(77) + sqrt(77))\/(sqrt(44)*-1).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z**2. Let n(k) = -196368*k**2. Give n(v(o)).\nAnswer: -50270208*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 310576918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -31. Suppose -110*g = -115*g + f. Solve g*j = 2*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -1. Suppose 0 = -3*x - s, p + 2*x + 6 = 2*p. Suppose -d + 7 = -p. Calculate the greatest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -4) + -2 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1 - (4 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2*s)**(-21)*(s**1)**(2\/5))**(-2\/23) assuming s is positive.\nAnswer: s**(626\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -24 - n**2 - n + 3*n**2 - 3*n**2. Determine i(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 61720*m - 308667. Calculate o(5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 4:18 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = s - 77 - 158, 5*r = 0. Solve 77*g - s = 30*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543750 (base 15) in base 13?\nAnswer: -326349c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91364876 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/176 + 0)\/((-5769)\/7692)*24\/(-5).\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4\/2 + 1641*c**3 + 463266*c**2 + 7866636*c + 13893312 = 0?\nAnswer: -538, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, p: 1, k: 2, i: 1, d: 1}. Give prob of picking 1 d, 1 k, and 1 i.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 17. Let f be t(7). Solve 3*h = f*i + i - 22, -5*h = -2*i + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + q**5 + 0*q**3)*((3 - 2 + 2)*(-1 + 0 - 1) + (1 - 1 + 2)*(1 - 1 + 1) - 3 - 1 + 6).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 - 4337133*t**3 + 2*t**2 + 101*t - 14153.\nAnswer: 24*t**2 - 26022798*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 3*l**3 + 2*l**3 - 77667*l**2.\nAnswer: 4*l**3 - 77667*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j + 56. Let u = 17 - j. Suppose -4*c - 17 = -u. Solve 5*o + c = -13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 42. Suppose -3*q = -m*q + 12. Let o be (-4)\/24 - (-50)\/q. Which is bigger: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36682, -73266, -109764, -146176?\n\"Answer: 43*x**2 - 36713*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2012725 - 4?\nAnswer: 2012721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/4))**(1\/7)*(g\/g**(-3))\/(g\/g**(-3)))\/((g*g**0*g)**(-7\/2))**5 assuming g is positive.\nAnswer: g**(985\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5339973 and -266.\nAnswer: 5339707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y - 2940 = -1029 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 25*s - 8094. What are the prime factors of s?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n**2 + 4*n + 2. Let a be f(-4). Suppose c - a + 3 = 0, b + 2*c - 46 = 0. Is ((-1594)\/8)\/((-12)\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.4, 2.72, 7\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(1*3\/6). Let t be (-16)\/c*50\/4. Suppose -z = 4*z - t. Solve -5*x = 3 + z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 2*k - 3*k + 5*k. Let p(z) = z**3 - 2*z**2 - 3*z. Let t be p(3). Let i(c) = -3*c + t*c + 0*c. Give j(i(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10548 + 571437 = 63*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 + 2.98. Let s = o + 1.7. Let i = -1.0274 + 0.0274. What is the smallest value in s, -2\/11, i, 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177324253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d + 98*d + 4*u = -1, -d + 3*u - 8 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24009)\/(-496186))\/(((-15)\/45)\/((-2)\/(-9))).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*t + 7154 = -0*t, -2*t = a - 1434. List the prime factors of a.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446807608?\nAnswer: 2, 13, 97, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 1. Let h be q(0). What are the prime factors of 86 + (h + 7 - 2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-85))\/(6\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2 + 2780?\nAnswer: 2852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 738483718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134 and 4.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9858, 9891, 9924, 9957?\nAnswer: 9990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21071 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50984994 is divided by 600?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from {m: 1, p: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 + u - 8. Let f be p(2). Let r = -3 + 8. Suppose -x = -f*x - r. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5 = 5*o, 3*d = o + 10 - 29. What is the remainder when (-1)\/((-10)\/(-8))*-5 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) + sqrt(252) + sqrt(252) + -4*sqrt(252) + sqrt(252))\/sqrt(4) - 5*(sqrt(70)\/(sqrt(30)\/sqrt(3)) - sqrt(7))) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3 + 8405*s**2\/3 + 128551*s - 129485\/3 = 0.\nAnswer: -2755, -47, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.51779119 to 2 dps.\nAnswer: 12.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, -6, -63, -132, -207?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -99*p + 577. Give w(5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118087061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 31.3. Let c = s - 4. Let u = -4650.3 - -4650. What is the nearest to -2\/3 in -1, u, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -35\/147744?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 - 3*v - 1. Let b be j(3). Let m(s) = 8*s + 4*s**2 - 6*s + 2*s + 3*s - 3 + s. Is m(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 25 = -4*h - 3*d, -252 = -7*d - 231 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5693, 5706, 5733, 5780, 5853, 5958, 6101, 6288?\nAnswer: 6525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 72*q - 34. What is u(-1)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from gwpwuulpm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4, 0.25, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519, 1037, 1555, 2073, 2591?\nAnswer: 3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 95*h + 30 - 30 + h**2 + 0*h**2 to the form b*h + z + m*h**2 and give b.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - z**2 - 8. Let s be 2\/(-4)*(-1 - -1). Let p be k(s). Let q be 236*10*20\/p. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*n. Suppose -1 = -f + n. Factor 0 - 2 - 4*y**2 + 2*y**f + 4*y.\nAnswer: -2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 1:16 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = k + 12, 4*o + 3*k + 11 + 1 = 0. Let i be 10\/15 - (-2)\/o. Suppose 0 = 4*l - 32. Solve i = -3*h - h + 8, -4*h + l = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100010100?\nAnswer: -100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 4, -0.053, -2\/9, -2, -76954?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/48 and ((-9)\/4)\/(-36 + 6)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 20*w**2 - 14*w - 15. Let u(c) = 2*c**3 - 39*c**2 - 29*c - 31. Let g(q) = 7*f(q) - 4*u(q). Is g(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*c**2 - 691*c**3 + 60*c**2.\nAnswer: -691*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 14. Let a be (-2)\/8 - (-102)\/24. Suppose a = -q + b. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.13 to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -2) + -6 - -1. List the prime factors of g\/15 - 104\/(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*r**3 - 15776*r**2 + 7876*r - 984.\nAnswer: 4*(r - 246)*(4*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 26. Let a be h(0). Suppose c + a = 5*g, -5*g - 12 = 3*c - 34. What is g rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:39 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l + 9*l + 7*l**2)*(0*l + 4 - 3*l + 0*l)*(4 - l - 4).\nAnswer: 21*l**4 - 28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2980.8*-0.5.\nAnswer: 1490.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 17, -3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 20154603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -44618?\nAnswer: -44616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21193*l*z**2 + 316*l + 340*z**3 + 19354 wrt z.\nAnswer: -42386*l*z + 1020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.419767 millennia in years?\nAnswer: 9419.767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 401024 + -401021. Factor 3*j + 0 + 1\/2*j**q - 5\/2*j**2.\nAnswer: j*(j - 3)*(j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5474.106351 to the nearest ten.\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240312132 (base 5) to base 12.\nAnswer: -452ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - -82 - (9 - (1 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 5*r + 1. Let k(h) = 2*h**2 + 6*h - 1. Let f be 4\/10 - (-198)\/(-45). Determine f*p(b) - 3*k(b).\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 141*q + 705. Give i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*i**3*k**4 - 6*i**3*k**2 + 128*k**6 - 156*k**2 - 8 wrt k.\nAnswer: -1776*i**3*k + 15360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9081*r - 6831. What are the prime factors of w(8)?\nAnswer: 3, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 - 75*g\/2 + 36.\nAnswer: 3*(g - 24)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 11*c = 13*c + 5, 6*f - 5*c = -3*f + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u + 1075 = -5*w, -4*u - 868 = -4*w. Let d = u - -220. Solve 3*p - 14 = 2*y - 1, -4*p + 16 = -d*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 16*b + 306. Determine f(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*n - 2*n + 116. Let f = 13 + -9. Let c be 1\/3*(-15)\/2. Put c, f, n in decreasing order.\nAnswer: f, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*p + 367*p = 216*p - 138*p + 10829 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63b2 + 5?\nAnswer: -63ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3 = -0*y + 5*l, l + 23 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 - 16*t**2 - 3*t - 29. Let z be s(-8). Sort z, 22, 0 in increasing order.\nAnswer: z, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 205.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -826113305, -826113300, -826113293, -826113284?\n\"Answer: z**2 + 2*z - 826113308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(-2*(4 + sqrt(19)))**2 - (sqrt(931) + 0 + -1 + -2 + 1 + sqrt(931))**2.\nAnswer: -4148 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:32 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 less than 508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 5020 + 4966. Let o(w) = w + 3. What is o(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/(-24))\/(-11)*(-9)\/(-54)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**8\/6720 - o**7\/504 + o**6\/180 - o**5\/30 + o**4\/3 + 4*o. Let j(f) be the third derivative of a(f). Determine j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 97134.4 from 116881.27.\nAnswer: 19746.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + -20d58?\nAnswer: -20d32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19127562*v*w**4 + 18*v*w - 43*v - 177*w + 1 wrt w.\nAnswer: -229530744*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/6 and (-43)\/4 + 24\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:47 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32903, -66308, -99713, -133118, -166523, -199928?\n\"Answer: -33405*o + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 627519805 to the nearest integer?\nAnswer: 25050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.526 - -12.92649. Let y = k + 1.607. Let q = 0.007 - y. What is q rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00855019 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007999 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40910 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0 + x + 1\/12*x**4 + 0*x**2 + 0*x**3. Let z(q) = -3*q + 3*q + 3*q - 4*q. What is b(z(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) + (-7)\/(-4). Suppose 0*m = -s*g + m + 999, -2502 = -5*g + m. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(5)*3 - (-4 + sqrt(320) + sqrt(5)))*1)**2.\nAnswer: -24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2921621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02939 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8900965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2472.614 minutes?\nAnswer: 148356840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ff1 + -4?\nAnswer: -4ff5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -10. Put 3, -2\/5, y in descending order.\nAnswer: 3, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121259*h**2 - 64*h**3 + 121259*h**2.\nAnswer: -64*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**3 + 17*w**2 - w + 7. Let c(f) be the first derivative of 1\/2*f**2 + 1\/2*f**4 - 8\/3*f**3 - 4*f + 5. Let v(j) = 7*c(j) + 3*o(j). Calculate v(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i*k*t + 13*i + 86*k*t**3 + 35*t**3 wrt k?\nAnswer: 2*i*t + 86*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*r + 17 = 1, -2*r + 16 = -3*w. Suppose -9*i + 4*i = -45. What is the units digit of i - w\/(4\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705413549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -0.5, 4 in decreasing order.\nAnswer: 4, -0.5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-366)\/(-14) - 1152\/1008?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 189319 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 22056*a**2 - 132429*a - 110370.\nAnswer: 3*(a - 7358)*(a + 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - -1181818767291.\nAnswer: 1181818767290.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -20407 smaller than 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/7*((-66)\/(-165) + 16\/60). Let k be 7 + -9 - 23\/(-11). What is the closest to b in k, 0.4, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/807378 and -41\/74.\nAnswer: 29872986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9113 + 9117. Which is the closest to -1\/2? (a) u (b) 9 (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/2 - 5961*v**3\/2 + 8892287*v**2\/2 - 26456499*v\/2 - 124242174 = 0. Calculate v.\nAnswer: -4, 7, 2979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*o + 2*n + 12, -2*n - 29 = -5*o. Suppose o*x + 30 = d, -4*x - d - 17 = -2. Let b = 9 + x. Calculate the highest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3786.3 millilitres to litres.\nAnswer: 3.7863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 106 - 4*j + 108. Let b be d(1). Sort 3, b, -4, -1 in descending order.\nAnswer: 3, -1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 950 = 5*h. Let m be (13 + 2)\/(0 + (-3)\/57). Let w be ((-3)\/(-2 - -5))\/(15\/m). What is the highest common factor of w and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6*(-1 + 1). Let h(u) = -2 + 1 + y + 91*u - 94*u. Let r be h(-2). Solve -r*q - 20 = -0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010 - 11110111?\nAnswer: -10111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 11. Solve 2*d + r*h - 2 = 0, -3*h - 4 = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 9*q**2 - 9*q - 29. Let z be w(7). Suppose -5*a + 4 = -z*a + u, -5*a - 20 = 3*u. Let l = 12 - 5. Put 0, l, -3, a in ascending order.\nAnswer: a, -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpqqfpai. What is prob of sequence zaqi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3928320\/4774)\/((-6)\/45500). What is c rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -35*g**3 - 19*g**2 + g - 22*g**3 + 12*g**2 + 6*g**2 + 2. Is 21 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 274145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + 4 + -9 + 18 + -31.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363232622.\nAnswer: 2, 373, 486907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-46)\/8)\/((-1)\/(-4)). Suppose -4*b = b + x. Let q = 3 + -10. Let o(j) = 4*j + 5. Let h(l) = -9*l - 11. What is b*h(d) + q*o(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104407081 is divided by 629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7994, -21, 18, 5, -1, -5 in ascending order.\nAnswer: -7994, -21, -5, -1, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15842591417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cisnxsit. What is prob of sequence ncst?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -210*k + 238 - 593 - 275. Let x(o) = -o + 1. Let n(b) = -6*b + 12. What is k*x(t) + n(t)?\nAnswer: -3*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1084 (b) 3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12950871\/5993 + -2161. Let u = 425499\/11986 - a. Find the common denominator of 77\/36 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 2*d - d - 16662*d**2 + 16634*d**2.\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -131*s - 642. What is f(-7)?\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 5*o - 4. Let y be t(-5). Let m(n) = -n**2 - 4*n + 5. Let c be m(y). Suppose -2*d = -6, -4*d - 71 = -4*a - c*d. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -361\/5, 0.3, -1, 0.299 in decreasing order.\nAnswer: 0.3, 0.299, -1, -4, -361\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 14*q + 4. Let d be l(3). What is the greatest common factor of 414 and d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 31*i**5\/30 + 433*i**2. Let p(d) be the first derivative of 5*d**3\/3 + 105. Give p(b(g)).\nAnswer: 19220*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 605\/(-275) - 36\/(-3) and 46\/22*(5 + -4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.0561 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.816 + -3.816. Let d = -0.1 + 0. Let h = d - -0.2. Which is the second biggest value? (a) 0.4 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 25 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)\/((d*(d\/d**(3\/2))\/d)\/d*d))\/(d**(-2\/5)\/d)**(-1\/85) assuming d is positive.\nAnswer: d**(581\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*c - 23. Suppose -2*r + 5*r = c. Put -0.3, r, -3 in ascending order.\nAnswer: -3, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/(-10) + 4\/10. Suppose 0 = -x*n - 0*n. Suppose 5*f = -m + 105, -5*f + n = 5. What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 0*h**2 - h**4 + 0*h**2 - 2*h**5 - 4*h**2 + 4*h**2 + (0 - 2 + 1)*(2 - 2 + h**5).\nAnswer: -2*h**5 - h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*h = -14, k - 3*h + 4 - 22 = 0. Suppose -12 = k*c - 2*p, 2*p + 4 = -5*c - 0. Find the common denominator of -81\/16 and (36\/(-8))\/9 + 94\/c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from vvwkkviwvn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 19*o. Let k(s) = 6*s**2 + 47. What is k(c(a))?\nAnswer: 2166*a**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1557, 2\/17, 7, 1, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37\/7 + (0 - (-4)\/(-14)). Suppose -5*l - 8 = -x, 10*x - h*x = 2*l + 17. Let j(i) = -x + 16*i - 15*i + 3. Determine j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71d6a (base 14) to base 4\nAnswer: 1002331322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 3\/5, 202 in ascending order.\nAnswer: -0.03, 3\/5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 9, w: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0 - 3*y + 14*y**3 + 7\/2*y**2. Is l(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -180, -467, -868, -1389, -2036, -2815, -3732, -4793?\n\"Answer: -q**3 - 51*q**2 - 127*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from rrlvvjjjnr.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1110100011010100100 (base 2) to base 8\nAnswer: 1643244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2295816.\nAnswer: 2, 3, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 - j**3\/6 + 3*j**2 + 2*j. Let c be (6\/(-15) - 6\/(-15))\/1. Determine p(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14718 and 2409.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 18. Determine g(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*l**3 - 85*l**2 + 30*l + 3228545.\nAnswer: -84*l**2 - 170*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 64*b**2 - 5212. Give t(-1).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 4*i**2 - i + 7. Let n(g) = g**2. Let m be n(2). Let o be k(m). Solve o*f - 8*f - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (23 + 1 - 15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -7*g - 8565. Suppose 86*k - 89*k = -g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -20*(-18)\/(-4)*-1. What is the greatest common factor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7953 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4854042 divided by -269669.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 14*n + 18. Let r be a(-15). Solve x + r*x = 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -34\/9. Which is the closest to 7? (a) w (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.18687 or -328?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 12)*(0*a - 3*a + 0*a)*(4 - 3 + 5 + (0 - 1 + 2)*(6 - 4 + 1) - 4 - 7 + 5 + (3 - 3 - 1)*(1 - 1 + 1) + 0 + 1 + 0 + 3 + 0 - 4).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 6)*2\/(-6). Let p be 3\/(-6)*-10 - h. Solve 2*c - p = -4*j - 8, -2*c + 14 = -j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 277\/372 - -1\/186. Which is the biggest value? (a) -1\/4 (b) -5 (c) h (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a\/a**(-8\/9))*a*a\/(a\/a**0)*(a\/(a*a**(14\/5)))\/((a\/(a\/a**(1\/8))*a)\/a*a*a) assuming a is positive.\nAnswer: a**(-2093\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10.8 or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 1859*p - 43 - 39 + 131.\nAnswer: -1859*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/454?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfz when three letters picked without replacement from crtczzzfcct?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:15 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/9, 64, -11, 2\/5, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728885892 to the power of 1\/4, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 0 + 10 - (3 + -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11556 and 0.16.\nAnswer: 11556.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, -3\/59, 170?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 + 75 - 7)\/(1\/4). Let l = -219 + p. Solve b + 5*q - 13 = -b, 0 = -4*b + l*q - 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05962 - -15.94288. Let u = 16 - p. Round u to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let t(i) be the first derivative of -i**6\/90 - 2*i**3\/3 - 2. Let d(c) be the third derivative of t(c). Calculate d(u(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000175192487 rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 35*o**2 + 34*o - 65. What is c(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 9*h**2 + 2*h - 9. Suppose 0 = 3*m + j - 623, -3*j = 6*m - 7*m + 201. Suppose m*x = 216*x - 81. Give i(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) - sqrt(425)) - (2 + sqrt(2448)).\nAnswer: -16*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1275108 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2572551722126 - 5.\nAnswer: 2572551722121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 0 + 75 + -13 - (-23 + 44)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 373.7451 decades?\nAnswer: 3737.451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*o*w + 5*c**2*q*w**3 - 3*c**2*q*w**2 - 14*c**2*w**3 + o*q*w**3 - 2*o*w**2 - 23*o + 3*q wrt w?\nAnswer: 30*c**2*q - 84*c**2 + 6*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8493, -16986, -25469, -33936, -42381, -50798, -59181, -67524?\n\"Answer: a**3 - a**2 - 8497*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 6*b - 7. Does 13 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365218 * -3\nAnswer: 1095654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {a: 10, j: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/9)\/r)\/(r**(-1)*r)*(r*(r*(r*r**9*r)\/r*r)\/r)**(-33) assuming r is positive.\nAnswer: r**(-3577\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2, 50 in increasing order.\nAnswer: -2, 29, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 3 = 23*m, -4*x = 3*m + 41 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 162, 644, 1448, 2574, 4022, 5792?\n\"Answer: 161*m**2 - m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 96 = x - 16*o, -3*x = -5*o - 290. Calculate the remainder when x is divided by 82.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one fifths of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1.14 (c) 16791\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -73143 rounded to the nearest 1000?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.6. Let k = -4401.2 + 4401. Sort i, k, 2\/13 in descending order.\nAnswer: 2\/13, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 1:29 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 + 2*j**2 + j - j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5145 + 715. Let u = 10585\/9 - r. Calculate the common denominator of u and (-4)\/(-6)*249\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 1173*a**3 - 65316*a**2 + 279840*a.\nAnswer: 3*a*(a - 440)*(a - 4)*(a + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -15*z**2 - 18. Let w(b) = 2*b**2. Calculate u(w(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3665 (base 16) in base 12?\nAnswer: -8085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 - 1.1. Let d = -2 + 7. Which is the nearest to -2\/3? (a) -0.5 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 2\/7*g**3 - 2\/7*g**2 + 0*g - 51 - 1\/14*g**4. Factor k(m).\nAnswer: -2*m*(m - 2)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/2553 or 1?\nAnswer: -8\/2553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 12 = 4*f. Suppose -2*x = -2*k + 608, k - 2*x = -f*k + 1222. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -16. Suppose 4*q - 18 - h = 0. What is the units digit of 8\/((-64)\/q)*(-10)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-94 + 94 + 8*y**3).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 12 = t, -4*v - 2*t = -6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1141548 and 527602?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*f + 18 = -1, -12 = -4*f. Let g(t) = 20*t - 1. Determine g(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42772)\/(-544) + 3\/8. Suppose 7*z - 65 + f = 0. Which is the third biggest value? (a) z (b) 1 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 113628049 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 - 4. Let j = 0.4 - h. Let r = j - 4. What is the closest to 2 in -2\/5, 5, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.08 - 2.40237\nAnswer: 18.67763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 546657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -114, 5, -8, -3, -62 in decreasing order.\nAnswer: 5, -3, -5, -8, -62, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 4*g**2 - 6*g)*(0*g + 2*g**3 + 0*g) + 28030*g**4 + 2*g**5 - 28030*g**4 - 104*g**2.\nAnswer: 10*g**5 - 104*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -60, -170, -368, -678, -1124, -1730, -2520?\n\"Answer: -4*y**3 - 20*y**2 - 22*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -119633*t**2. Let s(f) = -2*f. Give i(s(l)).\nAnswer: -478532*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 * -395\nAnswer: -1817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-56)\/(-4) - 2)*1\/(-3). Let m(f) = f**2 + 6*f + 13. Let u be m(v). Solve 2*a + 5 + 6 = -5*h, -u*a - 5 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138048287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 110. Find the third derivative of o*z**5 + 382*z**2 - 420*z**2 - 131*z**5 wrt z.\nAnswer: -6900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, -5 in increasing order.\nAnswer: -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 17. Let a(x) = 185*x - 362*x + 179*x. Determine a(o(n)).\nAnswer: -4*n**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33359 - -33359. Factor -7\/2*f**3 + s*f - 4*f**4 + 8*f**5 - 1\/2*f**2 + 0.\nAnswer: f**2*(f - 1)*(4*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 15*j + 885*j - 1 + 574*j.\nAnswer: -j**2 + 1444*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1521*t**2 + 7*t + 5. Let a = 53 - 55. Let c be g(a). Suppose 8*j - c = 3*j - 2*l, -3619 = -3*j + 4*l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 629 + 280 = 0. Let d = r + -621\/2. Find the common denominator of -65\/22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 4\/8*-2. Let v be 15\/6 - h\/4. Let c(a) = 3*a - 4. Let t be c(v). Let m(p) = -p**3 + 6*p**2 - 4*p - 4. Determine m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + h - 3 - h**2)*(6*h**2 + 4*h**2 + h**2) to s*h**2 + w*h + x*h**3 + d + c*h**4 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*a = -144, 4*m + 0 = -4*a + 192. Suppose -4*j = -j, m = 3*p + j. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from lnvvlvllvn.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 3*i**4 - 5*i - 4*i**2 - 3*i**4 - 2*i**4 + 1 + 4*i in the form x*i**3 + j*i + g*i**2 + r + v*i**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -7. Suppose 3*g - p = -4. Suppose -g*t + 3*t = 5. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.534 - -316.534. Which is the second smallest value? (a) d (b) 2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*k**3 + 25\/3*k**2 + 20\/3*k + 5\/3.\nAnswer: 5*(k + 1)**2*(2*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -0.277304.\nAnswer: 4.991472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w + 28 - 28)*(2 + w - 2)*(29*w + 113*w + 158*w).\nAnswer: -3300*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.5, 2\/3, 2 in ascending order.\nAnswer: -13, -0.5, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 175\/4, -2\/3, 1\/6, -55\/3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8700650239\/1284 + -6776208. Let f = 6\/4871 + -34739\/521197. Let y = f - q. Calculate the common denominator of y and -103\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -492399046 - -0.06022.\nAnswer: -492399045.93978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**4 - 1852*p**3 - 63*p - 6.\nAnswer: -36*p**2 - 11112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {l: 1, o: 2, b: 4, h: 5, e: 2, u: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1120370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 134001*m + 40444*m - 175.\nAnswer: 174445*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = -17. Let t(u) = -u**2 + 4*u + 3. Let m be t(l). Solve 4*p - p = m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:44 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.001 < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 709.9*-126.56\nAnswer: -89844.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 32789.867 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 291 = 20*m. Let y(g) = m + 22 - 40 + 3*g + 0*g. Suppose 0 = 4*i - 7 - 1. What is y(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -48, -7, -3, 2, 23, 5 in descending order.\nAnswer: 23, 6, 5, 2, -3, -7, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 10*a - 11. Let o be u(11). Suppose 0 = -b + 3*i + 13, o*i + 2*i = 5*b - 26. Calculate the least common multiple of 10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 12*o**2 + 12*o + 11. Let i be q(-11). Solve l + 5 = 0, 9*y - 4*y - 3*l - 25 = i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - 0.3. Let z = d - -1. Let g = 7 + -3. Which is the third biggest value? (a) z (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31703831, -31703830, -31703827, -31703822?\nAnswer: -31703815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/3 + 4*g. Let k(b) = -b**2. Determine k(j(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 - 2*u - 1. Determine b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1211688388909062 - 0.\nAnswer: 1211688388909062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3307766.1501857 and -42?\nAnswer: 3307724.1501857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83\/2905*(-3)\/(-12)*1*14.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(637) + -5 + 0 - -6*(-4*(sqrt(637) + 0) - sqrt(637))**2).\nAnswer: -382180 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 36 + 31 + 19 - 150 - 35*p + 29.\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 695158 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from gwgyhyhyhwh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1385 or -1383?\nAnswer: -1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/((26\/8)\/(320\/256)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61591079.\nAnswer: 11, 23, 31, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1700)*-6*4 - ((sqrt(1700) + 1)*-2 - ((sqrt(1700) - sqrt(1700)*2) + -5)))**2.\nAnswer: 2820*sqrt(17) + 3755309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 at least as big as 922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(112\/(-21)))\/((-2)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 0*g - 1\/2*g**2 + 1. Let o(m) = m. What is l(o(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:11 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 38 + 40 + 16*v + 34.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 4*r + 6*r**4 - r**4 - 4*r + 4*r + (-5*r**3 + 6 - 6)*(0 - 6*r + 0).\nAnswer: 35*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 3942*n - 11799.\nAnswer: -3*(n + 3)*(n + 1311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288) - sqrt(288))**2*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*b + 5*o + 3 = 104*b - 14, -23*b - 2*o - 71 = 3*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -741804*n**5 + 66*n**3*z - n*z - 147*n - 23845*z + 1 wrt n?\nAnswer: -14836080*n**3 + 396*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -335 - 2441*l + 335 - 74*l. Let t(r) = r. What is f(t(k))?\nAnswer: -2515*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**6\/240 + c**5\/30 + c**4\/4 + c. Let b(j) be the third derivative of r(j). Differentiate b(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q = 92. Let i = q + 33. Is (i\/(-10))\/(2\/(-62)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13125 + -13065. What is the greatest common divisor of 11700 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0*p**3 + 0 - 1\/18*p**4 - 13*p + 0*p**2 - 1\/90*p**5. Factor z(d).\nAnswer: -2*d**2*(d + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 9. Let f(y) = 7 - 4 - c + y. Determine f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z**4 - 273*z**3 + 771*z**2 - 687*z + 198 = 0. What is z?\nAnswer: -33, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13263 + 3480 = 421*r - 3044 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*n + 26. Suppose n*b + 5*p = -6200, 4*p - 2*p = -5*b - 7750. Round b to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 529 - 531. Let k be -2*((-2)\/(-4))\/((-11)\/(-55)). Let n be (4\/20)\/(3\/5). Sort a, k, 5, n in decreasing order.\nAnswer: 5, n, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 7, 422 in decreasing order.\nAnswer: 422, 7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 35*p**2. Let d(u) = u**2 + u - 2. Let j(b) = -7*b**2 - 6*b + 12. Let v(n) = 6*d(n) + j(n). Calculate v(i(f)).\nAnswer: -1225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r**5 + 717*r**4 + 240*r**3 - 16665*r**2 + 29628*r - 6372 = 0. Calculate r.\nAnswer: -59, -6, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281842467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 + v**2 - v. Let i(q) = 3*q**3 - 2*q**2 + 2*q. Let z(c) = -6*f(c) - 5*i(c). Let x be z(3). Let a = x - 56. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(180)*6.\nAnswer: -3 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 2059 + 2941 = 0. 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: What is the third biggest value in 2, -3, 1.2, -321, -2\/13, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let z be y(-2). Suppose -2*t = -0*t + z. Let l(m) = 2*m**2. Let b be l(t). Calculate the greatest common factor of b and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36\/7 or 2\/213?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Let z(q) = 2466427*q**2. What is z(h(o))?\nAnswer: 9865708*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.1. Let j = 3489\/7 - 498. What is the closest to -2 in -2, j, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 15. Let y be i(-10). Suppose 5*g - 14 = -4*r, -y*r + 2*g + 1 = -0*r. Which is smaller: 0.1 or r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m - 0*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184065 is divided by 10825.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-394381\nAnswer: -78876.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(624\/(-287833)) - (-3)\/8 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -1351, -2845, -4927, -7591, -10831, -14641, -19015?\nAnswer: -23947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 + 145 + 57*o - 431 - 59*o + 147.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-6 - -4) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -974, -3920, -8840, -15734, -24602, -35444, -48260?\nAnswer: -63050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 386, 879, 1556, 2417?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-2) - ((-63 - 2) + -1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.754515g?\nAnswer: 3754515000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2\/4)\/(-1)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/162475 and -39\/250.\nAnswer: 1624750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-20)\/8)*-24. Let u(j) = j + 7. Calculate the smallest common multiple of (-88)\/q + (-2)\/(-3) and u(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -323*v + 1615. What is q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (-25 + 26)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 divided by 17?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2\/3 - 140*k\/3 - 46 = 0.\nAnswer: -69, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2. Let n(c) = -14*c - 11*c - 2*c - 6*c. What is n(m(q))?\nAnswer: 99*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*p - 3136 = 7971 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 103, 120, 147, 184, 231, 288?\n\"Answer: 5*q**2 + 2*q + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1801 and 11.32.\nAnswer: -2.038732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, -3, -55\/7, -4\/5 in descending order.\nAnswer: 0.4, 0.3, -4\/5, -3, -55\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -9, 4, -1, 0.\nAnswer: -9, -1, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -41 (b) 2\/7797 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*q + 5 = 3*h, 2*h + 4*q = -10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 860 and 44505.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2 (c) -667\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*y + 24, 0*y + 4*y + 0 + 7 = t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0*x**5 + 0*x**3 + 11*x + 3 - 35\/12*x**4 + 0*x**2 + 9\/10*x**6. Find the third derivative of w(m) wrt m.\nAnswer: 648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.079, -0.057?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfsv when four letters picked without replacement from {l: 6, s: 2, f: 2, p: 2, v: 3, j: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 5029, -0.5, -2 in increasing order.\nAnswer: -2, -0.5, 3\/7, 5029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 2:39 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067207359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-360)\/(-32))*(-5)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 303*r = 310*r + 17, -3*h = -7*h - r + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n - 8 = -55*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let o be ((-47)\/15 - -3)*3. Does x = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3 + sqrt(891)*-1 + -2 - 4*(sqrt(891) + sqrt(891) + -1)*-2) + -2)**2.\nAnswer: -9720*sqrt(11) + 802224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 11488*m**2 - 22970*m - 11484.\nAnswer: -2*(m + 1)**2*(m + 5742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 15*h + 160 = 0, -47*h = -2*r - 44*h - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 8:31 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10023 + 304656?\nAnswer: 315012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*f - 79, -5*n - 7*f - 92 = -3*f. Let y = n - -31. What is the greatest common divisor of 105 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:44 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f. Let x(j) = -14*j + 7*j + 51 - 51. What is 15*v(h) + 6*x(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.84 + -15.3. Let j = d + -2.5569. Round j to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1001 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 + -0.1. Let a = 0.3 - 6.3. Let f = q + a. What is f rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(75) + 3 + -4)**2 + sqrt(75))*-1*-5.\nAnswer: -25*sqrt(3) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -859, 0, -10 in increasing order.\nAnswer: -859, -10, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = 4*p, 3*t + 2 = 4*t - 2*p. Let b = -13 + 12. Let m(o) = 36*o**2 - 2*o - 2. Let s be m(b). Calculate the greatest common divisor of s and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aac0 (base 14) to base 16\nAnswer: -7380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2068 divided by 517\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j + 2. Suppose -1 = -c + 7. Does 9 divide i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 8*g - 8. Suppose -3*c + 7 = -x, -7*c = -9*c + 2*x + 6. Suppose 0 = 4*r - c*n - 18, 2*r - 2*n = 5*r - 24. What is h(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 2*m**2 + 4*m**2)*(383*m + 42 + 377*m - 763*m) + 2*m**2 - 2*m**2 - m**3.\nAnswer: -4*m**3 + 42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 33*g**3 - 165*g**2 + 8*g - 72. Determine t(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 793275.8 millennia in centuries?\nAnswer: 7932758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.3. Let u = -61645.14 + 61645.8399954. Let z = l - u. What is z rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.5, 76, -29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133819952*t**3 + 49920443*t.\nAnswer: -802919712*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4 - 45262*i**3 + 588112*i**2 - 995192*i = 0.\nAnswer: 0, 2, 11, 22618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -718, -3683, -8634, -15577, -24518, -35463?\n\"Answer: -b**3 - 987*b**2 + 3*b + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146972*b**3 + 425*b - 85 wrt b.\nAnswer: -881832*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42723170.\nAnswer: 2, 5, 7, 610331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwfwtdjjjwjtjwjwwjjj. What is prob of picking 2 w?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 602705.9 and -6?\nAnswer: -3616235.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2157 divided by 58936.\nAnswer: 2157\/58936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*z**3 + 652*z**3 - 300*z**3 - 129*z**3.\nAnswer: 51*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyypivuiuyyy. What is prob of picking 2 i, 1 p, and 1 y?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 327710 - 45?\nAnswer: 327643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 323020300 to the power of 1\/2, to the nearest integer?\nAnswer: 17973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1003741920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1548385 + 215*k**3 - 5*k**5 + 210*k**2 + 1548385 = 0. Calculate k.\nAnswer: -6, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1 + sqrt(80))**2 + sqrt(20) - (0 + 4 + sqrt(20) + sqrt(20)).\nAnswer: -18*sqrt(5) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/39 - -3\/13. Let k be 9\/12 + 1\/(-12). Find p, given that -k*p + b*p**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 2*b**3 + 2*b**4 + 5*b**4 - 3*b**4 - b**4 - b**4 + b**4 + 4*b**4 + (0*b**3 - 2*b**3 + 3*b**3)*(2 - 2 - 3*b) - 5*b**4 + 3*b**4 + 3*b**4.\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4704 - -4708. Which is the nearest to 1? (a) -8 (b) 15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 790*b - 2031. Give r(0).\nAnswer: -2031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -129, 1249, 3727, 7305?\n\"Answer: 550*u**2 - 272*u - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2148548561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 754 + -539. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -74*o**4\/5 - 154*o**3\/5 + 2134*o**2\/5 + 2394*o\/5 + 36 = 0?\nAnswer: -6, -1, -3\/37, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 10192?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274, 2, 5, 0 in descending order.\nAnswer: 274, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 12 - 4*f + f)*(-256*f - 63*f - 1278*f).\nAnswer: 4791*f**2 + 3194*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 1, e: 10, a: 1}. What is prob of picking 1 e and 2 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-594)\/(-22) + 47 - 26\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*i**4 - 27*i**3 - 65*i**4 + 2*i**5 - 7*i**3 - 1850*i**2 + 14*i**4 wrt i.\nAnswer: 120*i**2 - 552*i - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j + 0 + 13*j**2 + 5\/8*j**4 + 5\/6*j**3. Let w(s) = 971 - 1940 + 8*s + 972. Calculate -3*i(p) + 5*w(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 8. Let k(a) = -2*a - 4. Let q be k(-2). Determine f(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -v - v + c + 7*c, -12*c = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/(0 - -2) - -1. Let d(u) = 10*u - 47. What are the prime factors of d(t)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 19*t**2 - t + 1. Let j be h(1). Suppose 7*r + 2*r - 45 = 0. Let c = j - r. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(36))\/(sqrt(33)\/(sqrt(6)\/sqrt(2))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/((d\/d**(-8\/7))\/d))\/(d*d**(3\/7)))**(2\/21))**(-1\/2))**(1\/80) assuming d is positive.\nAnswer: d**(11\/11760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -439*g + 124. What is the hundreds digit of u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 177 = 5*t. Let q = t - -20. Let l = q + 43. Solve 0 = -l*v + 2*b - b - 9, 5*b = 3*v + 28 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4544880, -4544872, -4544864, -4544856, -4544848, -4544840?\nAnswer: -4544832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**3 + 372*u**2 + 4032*u + 11664 = 0.\nAnswer: -81, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27932 - 27*i - 334*i**3 + 27932 + 27*i.\nAnswer: -334*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 12\/4) + 5. Let g be 0\/(-3) + 4\/(-14). Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/((-5)\/10). Let z(q) = 5 - 3*q + 2*q - 4*q**2 + 0*q**2 - 4. Determine z(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 8. Sort 1\/2, -0.2, u.\nAnswer: -0.2, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.1 + 8.1. Is k greater than -1\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 10 + (-10 + -10 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.092139 - -0.8.\nAnswer: 0.707861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7195*h - 7177*h = 288270. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-885)\/(-10)*26. What is w rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let a = -6 + 4. Let y(w) = -28 - 18 + 0 + w + 46. What is a*n(f) - 5*y(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1887942 or 1887945?\nAnswer: 1887945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -k - 70. Which is greater: -6 or k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -38*s + 63. Put -1, -5, -2, s in ascending order.\nAnswer: -5, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/7 + 1202*d**2\/7 - 41735*d\/7 + 357204\/7 = 0. What is d?\nAnswer: -1236, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7295207 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*f**2\/7 + 102*f\/7 + 8\/7.\nAnswer: -2*(f - 4)*(13*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*l - 785584 = 47*l + 9305783. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:44 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11 + 2*w - 4 + 1 - w - 5*w. Give i(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4448 and 292.\nAnswer: 324704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 175\/42*((-195)\/(-50)*1 + -3). Let n(l) be the first derivative of -10 + i*l**2 - 21\/2*l**3 + 9*l. Factor n(u).\nAnswer: -3*(3*u - 2)*(7*u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -3. Let f(g) = 4*g + 3*g - u*g - 5*g. Let d be f(-6). What is the greatest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 1, k: 1, b: 3}. Give prob of sequence kc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3723?\nAnswer: 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-1890)\/3141) - 20\/75.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6719 - -6746. Let l = -19 - -23. Sort 5, l, -1\/3, q in decreasing order.\nAnswer: q, 5, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:19 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*f - 38*d + 39*d - 4, 0 = -5*f + 5*d + 3*d + 41 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 5*h**2 - 6*h - 3. Determine c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -946, -3850, -8688, -15424, -24022, -34446, -46660, -60628?\nAnswer: -76314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2\/5 - 2046*l\/5 - 348843\/5 = 0?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose f + x = 13. What is the highest common divisor of f and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812500638.\nAnswer: 2, 3, 31, 619, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 68 = 0, -42 = 183*x - 180*x + 3*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 17*l**2 - 81*l + 8. Let v be b(-12). Let w be (v\/(-585))\/(1132\/6). Is 1 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Suppose 2*c = -m*t - 16, -3*t - 2 = -4*t + 4*c. Let j = -6 - t. Solve j = l - 4*l + 2*k + 8, 5*l = 4*k + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-12) + (-2782)\/(-12). Let w = k + -105. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 10*u**2 + 12*u**2)*(-2*u**3 - 2*u**3 + u**3) + (-3*u**5 + 4*u**5 - 3*u**5)*(-4 - 2 + 4).\nAnswer: -47*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -265*z**4\/4 - 855*z - 1553. What is the derivative of c(f) wrt f?\nAnswer: -795*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -21*d**2 - 11 + 27*d**2 - 11*d**2 - 9*d. Let w(x) = 9*x**2 + 19*x + 21. Let a(k) = -7*i(k) - 4*w(k). Is a(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 26*j = 5*c + 16, 0 = -2*j + 2*c + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.928 to one dp.\nAnswer: 22.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**3\/6 - 143*k. Let m(s) = -233*s. Give q(m(r)).\nAnswer: -233*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 22*v**2 - 32*v + 69. Let f be o(23). What is the smallest common multiple of f\/((-81)\/18*(-1)\/(-3)) and 16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1391\/2 + -696. Let q be -3 + 3\/(-12)*-11. Which is the nearest to z? (a) q (b) -1\/2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from zwzjpjz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 b when four letters picked without replacement from llwwbwbbrbbbr?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035398268.\nAnswer: 2, 3, 23, 101, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/3 (b) -6\/5 (c) 22 (d) 7.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 1. Let s(t) = -16*t - 2. What is -4*c(b) - s(b)?\nAnswer: 12*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z - 16. Determine c(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -5*r. Suppose y + 0 = r. Which is the biggest value? (a) -0.5 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080158 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038927813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*r = 28, -3*y - r - 54 = -44 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13124 - -20201232?\nAnswer: 20133103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 371877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/160*-4*2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 7) to base 12.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 c when three letters picked without replacement from eceec?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 194167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -21*w - 49. Suppose -2*f - 5*u + w = 0, 0*f + 4*u = 5*f - 34. Solve 0 = -9*q + f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -90*(-3)\/2*4\/15 and (3\/6)\/(-5 - 1124\/(-224)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Suppose 13*g - 11*g = -2. Let o be 1 + 4\/1 + g. Solve -l - 8 = -o*b + 2*f, b - f - 2 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x - 191. Let j be f(23). What are the prime factors of ((-14841)\/12)\/(-3) - j\/(-28)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215?\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 12 - 152. Let p = -53 - q. Find the common denominator of -47\/16 and (166\/p)\/(16\/(-12)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19175*o**4 - 70272?\nAnswer: -76700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**3 + 22*f**2 - 26*f + 207. Let h(u) = 3*u**3 - 12*u**2 + 14*u - 104. Give -11*h(r) - 6*s(r).\nAnswer: 3*r**3 + 2*r - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -1d?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 411852.7 decades in years?\nAnswer: 4118527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x + 52. Let n(s) = -s - 1. What is 6*n(p) + o(p)?\nAnswer: 2*p + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(108) + 1*sqrt(108) + sqrt(12) - sqrt(12))\/(sqrt(6) - sqrt(18)\/sqrt(3)*-6) + -1).\nAnswer: -30*sqrt(2)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 4, 8, 0 in increasing order.\nAnswer: -27, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 22*i + 24.\nAnswer: -2*(i - 12)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 8) + -16 + (5 - 0) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 24733.707ms?\nAnswer: 0.41222845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*n = n + 2, -2 = -d + n. Suppose -t + 2 + 12 = 0. Suppose d*x = -x - 2, -5*x = 4*q - t. Calculate the least common multiple of q and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 16) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9483 divided by -192?\nAnswer: -3161\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - a - 18 = -2*l, 0 = 4*l - 3*a + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -1405724?\nAnswer: -1405742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0)*4 - (326018\/(-1827) - -187).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 - 616*k**4 + 17468*k**3 + 19336*k**2 - 36192*k = 0. What is k?\nAnswer: -2, 0, 1, 39, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.0462 litres in millilitres?\nAnswer: 465046.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + -3 + (0 + (1 + sqrt(325))*3 + -4)*-6)**2.\nAnswer: -180*sqrt(13) + 105301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-8 - (-5 - (-6 - -4)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10 = -2. Suppose 7 = b*j - 29. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12 = 5*r + 13, 4*r + y + 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2175, -21, -5.\nAnswer: -21, -5, -3, 4, 2175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 204, 683, 1610, 3135, 5408, 8579, 12798?\n\"Answer: 25*t**3 - t**2 + 9*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) - (3 + sqrt(117) + -2) - (0 + sqrt(117) - sqrt(117))*-6))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o + 65. Let t be 14\/4*(49 - 47). Let s be m(t). Let x = 0.5 - 1. What is the closest to 0.2 in 1\/7, x, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16092 + -16091.88791. What is k rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/6228606 and -31\/17038?\nAnswer: 43600242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -359*i**2 - 17230*i + 93. What is t(-48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110110010101011 (base 2) in base 5?\nAnswer: -3414322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3630308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 18\/(-36) - (-777)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Suppose -3*j - 4*d = 2*j - 19, -j - 2*d = -5. What is the first derivative of 5*z**a - 3*z**j + 11 - 14 wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 3*r**2 - 2*r. Let m be f(2). Suppose -2*w - w + 2*o = -12, w = -o + 4. Calculate the least common multiple of w and m + 1\/1 + 17.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-16))\/((-395)\/1580).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(-1\/2)))*s*s)**(-11\/4)\/(s**(-1\/6)*s*s\/s**(-19)) assuming s is positive.\nAnswer: s**(-731\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 4*w**2 + 3*w + 6. Suppose 5*b + 27 = -3. Let u be r(b). Suppose -4*n + 94 = -5*g - u, 455 = 3*n + 4*g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 8968997117.09\nAnswer: -8968997116.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 134?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1948, 2, 3.\nAnswer: 2, 3, 1948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3918464 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5588 - -1788. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4698 at least as big as -4698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6131 + -1.3869. Which is the smallest value? (a) -293 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2420829\/108 - -14) + 1*4\/(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 135. Let n(a) be the third derivative of a**6\/120 - a**5\/40 - a**4\/24 + a**3\/2 + 4*a**2. Let g(w) be the first derivative of n(w). What is g(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0 + 0*w**2 + 0*w**4 - 1\/360*w**6 - 1\/40*w**5 + 5*w + 4\/3*w**3. Let b(n) be the second derivative of q(n). Give b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:42 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**4 - 2*g**4 + 0*g**4)*(-1 - 3 + 3) - 45*g**4 - 36*g**4 - 40*g**4 in the form s*g**4 + n*g**3 + p*g + w*g**2 + r and give s.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 4, 13 in descending order.\nAnswer: 13, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -763 times 12.8\nAnswer: -9766.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*n + 450*n - 251*n - 101*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (1*sqrt(66) + sqrt(66))*-6 + sqrt(66)*1*4)*-1)\/(sqrt(36)\/(-2*sqrt(6) + sqrt(6)) - (sqrt(6) + (5*sqrt(6)*-3 - sqrt(6))))*2.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1131*f - 176. What is the remainder when o(3) is divided by 161?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2*(-2)\/20). Let p = -2170 - -2195. Solve -r + f*s = -10, -6*r + p = -2*r - 5*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s**2 - 4939*s - 1. Let d(f) = 554*f. Calculate q(d(r)).\nAnswer: -2148412*r**2 - 2736206*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*c**3 - 996*c**3 + 5 + 492*c**3 - 5 - 2*c**2.\nAnswer: -8*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030083 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 342?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(99)*1 - (sqrt(99) + sqrt(99) + (3 + sqrt(99))*-3)) + 6*6*sqrt(99)*-2*6 + -2)**2.\nAnswer: -10320*sqrt(11) + 18305116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -58b37 (base 12) to base 2\nAnswer: -11101000101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.185535 rounded to 1 dp?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 247123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 1031*j + 6. Let r(p) = p**2 - 2*p - 2. Determine b(m) + 3*r(m).\nAnswer: m**2 + 1025*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2b22?\nAnswer: 2b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 316823334 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202477619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21797933 to the nearest integer?\nAnswer: 4669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**3\/2 + 23*c**2\/2 + 6*c. Let z be k(-7). Find m such that 4*m**z - m**2 + 3*m**2 - 3*m**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47485\/1897 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 4*n - 19. Let q(s) = -s**3 + s**2 + 9*s - 2. Let b be q(3). Let m be v(b). Solve 0*u = -m*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1806 is divided by 337.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -3, -35, -101, -213, -383?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5\/5 + 12*b**4\/5 - 435*b**3.\nAnswer: 3*b**3*(b - 25)*(b + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 4. Let c(z) = 2*z - 2. Let k be c(4). Let f be d(k). Let v = f - 1. Calculate the lowest common multiple of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 minus 8009?\nAnswer: -7544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-66150)\/(-60) + (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - z**2 - 4*z**2)*(13*z + 23434 - 23444 + 52*z)*(2*z - 2*z - 3*z) to r*z**3 + j + o*z**4 + s*z + p*z**2 and give o.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*h + 1150 - 2005 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 21 + (125 - 164).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182.00000468 - -182. Round i to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1327*a + 1350*a + 529 = 0. Let m(x) = -x**3 - 20*x**2 + 67*x - 52. Calculate m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -1.5. Let f = -0.8 - l. What is the biggest value in 0.1, f, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 8 = -3*c, -3*c - 12 = -2*c + 4*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - c**3 - c**3 + (4 - 5 + 3)*(3*c - 3*c + 2*c**3) + 4 + 2*c**3 - 4 + (-3*c**3 - 3*c**3 + 5*c**3)*(0 + 1 + 0).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4871, 9741, 14611, 19481, 24351, 29221?\n\"Answer: 4870*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8670)\/(-1530)*18\/68?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -0.02874072.\nAnswer: 0.017244432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 131135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 166435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22011701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6) + 280\/(-192))*-6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-93)\/(-18))\/(42\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8575, 8597, 8639, 8707, 8807?\n\"Answer: v**3 + 4*v**2 + 3*v + 8567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 15*q - 5*x + 1868 - 1751, -5*x + 81 = -11*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 50*g + 167. Let x be s(-3). Sort 7, x, 3 in descending order.\nAnswer: x, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80273 is divided by 40064?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:11 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 - 2*f**3 + 167.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/((-18)\/15)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 10 in descending order.\nAnswer: 11, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/77 + (-66)\/(-14). Suppose 4*l = -5*t + 91, -3*t + y*l - 52 = -6*t. Let c be t + 3 - (4 + -1). What is c rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25220 and 24?\nAnswer: 25244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 14 + 14)*(n + 0*n - 4*n).\nAnswer: -63*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {n: 3, u: 11, q: 3, p: 2}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6620209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.998 + 371.602. Let z = o - 374. Which is the fourth smallest value? (a) 1\/648 (b) 2\/3 (c) z (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*j - 71*j - 88199*j**3 + 88227*j**3 + (0*j - j + 3*j)*(4 + 2*j**2 - 4) as h*j**2 + i + a*j + f*j**3 and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 13822 = 5*n - 9*s, 3*s - 12 = 0. List the prime factors of n\/6 + (2 - -1).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + (-224)\/(-24). Let v = t + -1. What is the highest common factor of 56 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6669.82523 times -5?\nAnswer: -33349.12615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (18 - 24) - -39?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*o + 4. Let s be 2*(-3)\/2 + o. Is ((-124)\/(-16))\/(1\/s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.5 + 10. Let n = 4 + v. Which is the smallest value? (a) -0.1 (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2*(-4)\/(-72)*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1473. Let o(t) = -t - 2963. What is -5*m(b) - 3*o(b)?\nAnswer: -2*b + 1524","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 3*k**2 - k - 3. What is the remainder when 77 is divided by z(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 5. Suppose n - 11 = -4*g, 0 = -n + 4*n + 3. Let x be (-4)\/6*-18*g\/(-12). Sort 5, k, x, 2 in decreasing order.\nAnswer: 5, 2, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/55464 and 5\/132.\nAnswer: 610104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -1.36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30102110030 + 11?\nAnswer: 30102110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40086*z - 16283 wrt z?\nAnswer: 40086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 y, and 1 e when four letters picked without replacement from {e: 4, h: 3, y: 11}.\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7998 - 2832. Suppose o = 9*k - 21303. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.3. What is the nearest to t in 1\/8, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.9135 and 8428877?\nAnswer: 8428880.9135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36521 + 3?\nAnswer: -36515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-2 - 0)) + (-2 + 15 - 3) + -50.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -779506 - -779555.9887. Let f = 50 - l. 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: Solve -4*s = 3*s + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -116. Solve -y*n = -3*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a7 + 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 316 - -3. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 1, p: 5, l: 8, k: 5}. What is prob of picking 1 j and 2 l?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4 - -2) + -4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 21*z**2 + 293*z + 82 = 0.\nAnswer: -41\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32182 is divided by 96?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:01 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1216*k = 1217*k + 1. Find the common denominator of k - 100\/(-32)*1 and -23\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 15*c**2 + c. Let q(x) = 1. Let z(b) = -b**2 - b + 1. Let y(o) = 2*q(o) - z(o). Let f(n) = -7*n**2 - 5*n - 5. Let m(t) = -f(t) - 5*y(t). Give m(w(p)).\nAnswer: 450*p**4 + 60*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23235 (base 13) to base 2\nAnswer: 1111101001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31090 is divided by 388.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (-35 - ((-10 - 27) + 12))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*m + 198*m + 591*m + 3.\nAnswer: 716*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 t when three letters picked without replacement from mxixmmmmmmiiiimxmit?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 - 26) + (1 - -4 - -1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 37 = 5*x, 0 = 4*x + 9 - 1. Calculate the remainder when 26 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 22*s + 20. Let k be z(10). Suppose -164*g + 170*g + 24 = k. Let x be (-6)\/2*(-5)\/(-3). Put -1, g, 0, x in descending order.\nAnswer: 0, -1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*h - 7, -2*y + 199*h = 398*h - 197*h - 32 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 6*a + 37, -a - 2*u = -891 + 908 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 11 (c) -2\/13 (d) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2497 and 9080.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 4, f: 2, x: 2, e: 3}. What is prob of sequence qxe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(8\/3)*j**(6\/19)\/j)\/(j**37*j**(3\/4)) assuming j is positive.\nAnswer: j**(-7927\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 3*q**2 - 7*q - 5. Give s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.016*16446127.\nAnswer: -263138.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 99*t**2 + 11*t + 11. Let z(i) = 25*i**2 + 3*i + 3. What is 3*d(m) - 11*z(m)?\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:04 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.03, 8691, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 - 786*h**2 - 3081*h + 3870 = 0. What is h?\nAnswer: -258, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3026 + 80*n + 86*n + 31*n - 199*n - 3026.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*o - 10 = 2*o, -2*o = 4. Find the second derivative of l*t**4 + 4*t**4 + 9*t**4 + 6*t wrt t.\nAnswer: 156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 953845 is divided by 454?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 587000124 to the power of 1\/2, to the nearest integer?\nAnswer: 24228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52 - 40 + 17)*(0*t**3 + 0*t**3 + t**4) + 5*t**4 - 4*t**4 + 3*t**4 to l*t + s*t**2 + q*t**4 + k + g*t**3 and give q.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**3\/3 + 9*g**2\/2 - 12*g + 12202. Determine c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 3*r + 1 = 28*v, -2*r + 10 = -2*v. Suppose 60 = 2*h - 5*n, -3*h = 2*n - 66 - 5. Let t = v + h. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 58*f + 763. Give y(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -0.06, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 61912 (b) -2 (c) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/3015156 and 31\/3266419?\nAnswer: 39197028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(-1)\/20*-135*145\/(-46980).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*((-3*l + 3*l + 2*l)*(3 - 2 + 0) + 0 + 2*l + 0)*(-4 + 5 + 0).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 6*g + 68*g - 483 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 4*t**2 - 2*t - 1. Let x be d(-4). Let y be ((-1)\/(1\/2))\/x. Let g = -5301 - -5300.5. What is the closest to y in 2\/5, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1400 and 865600.\nAnswer: 6059200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 604, 1, 281, -5, 2, -2, 4 in descending order.\nAnswer: 604, 281, 4, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 - 6*x + 6. Let d(g) = g**2 - 6*g + 2. Let f be 0 - 0 - (2 - 3) - -3. Let z be d(f). Let p(i) = -4*i**3 + 5*i - 5. What is z*p(y) - 5*q(y)?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2279658364 - -2.02\nAnswer: 2279658366.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.6 - 8.22. Let x = -0.62 - h. Which is bigger: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -q + 151, 0 = 2*b - 4*q - 356 + 78. Suppose -162 - b = -3*x. What is the remainder when x is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, t: 2, h: 2, p: 1, k: 1}. Give prob of sequence pst.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let y be t(5). Let l be (-20)\/(-6)*6\/y. Suppose a - 32 = u - 6*u, 2*u - 38 = -l*a. What is the remainder when 12 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*h. What is the closest to 0.1 in -4, -1\/6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -831.564545 to 1 decimal place.\nAnswer: -831.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460 rounded to the nearest ten?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*q + 131, 2*q - 82 = -0*p - 4*p. What is the remainder when q is divided by ((-5)\/(-2))\/(3\/18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfttsnr. Give prob of sequence frt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 - 14*y - 1. Determine o(7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + h**2 - h - 1. Let p(n) = 5*n**3 - 5*n**2 + 3*n + 5. Give -p(o) - 6*u(o).\nAnswer: o**3 - o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -3 (b) 43 (c) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 3*f**2 - 3*f**2 + (9*f**2 + 27*f**2 - 7*f**2)*(-1 - 1 + 0)*(-1 + 0 - 3).\nAnswer: 234*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 2*l + 6 = 0, 2*l - 34 = -616*b + 614*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 50. Let h be j\/15*(1 - 4). List the prime factors of h\/45*-3*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-15 - 36) + (-1 - -14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3 - 9591*x**2 - 982290*x + 2002968 = 0. What is x?\nAnswer: -3091, -108, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**3 + k**2 + 2. Let s be m(-2). Let n = -4 + s. Let q be (8\/3)\/((-18)\/(-405)). Calculate the highest common divisor of q and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:12 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 312*u**2 + 314*u.\nAnswer: -2*u*(u - 1)*(u + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 10:22 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11720652, -23441308, -35161952, -46882578, -58603180, -70323752, -82044288?\n\"Answer: q**3 - 11720663*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417903 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-648)\/(-24))\/108*215*(-36)\/(-45)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*(-126)\/(-15).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 32. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5\/4 - 285*s**4\/4 + 7449*s**3\/4 + 61029*s**2\/4 - 121095*s\/2 = 0. What is s?\nAnswer: -115, -9, 0, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 + (1 - 6) + 9 + -49 + -3\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 + 2)*(-m**3 + 5 - 5) + 0*m**2 + 0*m**2 + 2*m**3)*(-2 + 7 + 2*m - m).\nAnswer: 7*m**4 + 35*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2751456.\nAnswer: 2, 3, 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 2 + 11*z - 2.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6231 and -2834.\nAnswer: 17658654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440) + sqrt(440)*2*-4 + -4*-2*sqrt(440))\/(1*(sqrt(810) + 2*-1*sqrt(810) - sqrt(810))))**2.\nAnswer: 11\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(572)*-1 - sqrt(572))*2)\/(1*sqrt(396)))\/(-2*(2*sqrt(576) + sqrt(576))*-3).\nAnswer: -sqrt(13)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -41*i + 977. Determine u(26).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*m**3 + 2*m**2 - 37 wrt m?\nAnswer: -39*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15826, 31595, 47376, 63175, 78998?\nAnswer: 94851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/(i\/((i*i**26)\/i))*i))\/(i*i**(-23)\/i)*i**(-1\/3)\/i**(2\/9) assuming i is positive.\nAnswer: i**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7256929 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24230.\nAnswer: 2, 5, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067009241 rounded to 4 dps?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 183\/2 (b) -374 (c) 2\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2) + (-31)\/(-1). Suppose 3*c - o = -5. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 610*y**2 - 300*y**2 - 14*y - 308*y**2 in the form o + x*y + a*y**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 4, 0.4, -0.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(m**2 - 3*m**2 + 3*m**2) + (3 + 1 - 2)*(2*m - 436*m**2 + 74*m**2 + 239*m**2).\nAnswer: -248*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 18*v**2 - 38*v - 40. Let h be k(20). Which is the nearest to 0.2? (a) -0.6 (b) h (c) -7\/3 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*p - 27*p + q + 11, 0 = 6*p - 5*q + 21 + 29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 49380?\nAnswer: 49380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3598.\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 223 + 235 = 3*s, 5*q = -15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1831.000002903 - 1831. Round q to seven decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14803993?\nAnswer: 41, 89, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 179112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25*b**2 - 27*b + 111. What are the prime factors of k(6)?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11)*f*f**(10\/7)*f)**(-1\/7) assuming f is positive.\nAnswer: f**(-250\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4375 or 4353?\nAnswer: 4375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-20))\/((-1)\/65). Let v = b - -22. Suppose 95 = 6*g - v. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-12))\/((-22)\/(-99))*2\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78337 and 4009?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -19\/3, 1, 4, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1426353*a**3 - 865705 wrt a.\nAnswer: -4279059*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -12*x + 3. Let j(f) = 276*f - 68. Suppose 0 = 10*l - 11*l - 3*s - 9, -3*l + 4*s - 14 = 0. Determine l*j(h) - 136*o(h).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1147*z - 30. Let k(a) = -4*a + 5. Let w(s) = i(s) + 6*k(s). Let c(u) = u**2. Calculate c(w(m)).\nAnswer: 1261129*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690023 to the power of 1\/2, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 55454\/379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -4*c + 16, -y + 20 = -19320*c + 19325*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 10. Let w(j) be the second derivative of j**4\/12 + 16*j. What is t(w(d))?\nAnswer: 3*d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -266*x**3 + 2*x - 63 wrt x?\nAnswer: -1596*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -289, 3, -2 in descending order.\nAnswer: 3, -2, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((-4)\/(-1))*(-6)\/(-270)*35?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n - 1263. Let k(t) = 40*t + 3787. Calculate -6*k(g) - 17*m(g).\nAnswer: -2*g - 1251","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -391 or 0.3?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**4\/2 + 24*n**3 + 8283*n**2 - 67032*n - 23402547\/2 = 0.\nAnswer: -49, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121333203021 + -3?\nAnswer: 121333203012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -50*k**3 + 5*k**2 + 21*k - 92. Let u(d) = -21*d**3 + 3*d**2 + 9*d - 45. Calculate 3*a(q) - 7*u(q).\nAnswer: -3*q**3 - 6*q**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 2.7. Suppose -1088 = -31*s + 39*s. Let o be (s\/34)\/((-4)\/1). What is the smallest value in o, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 0*v**3 - v**3 + 0*v**3 + 2*v - 42*v**4 - 1 + 34*v**4 to y + f*v + r*v**3 + c*v**2 + a*v**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/4)\/(3\/(-1)))\/(-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5696012 divided by -28.\nAnswer: 203429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) 0.17 (c) -1 (d) -1.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t = -26*t + 10*t + 2440. Let f = 94 - -94. What is the remainder when f is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -661.9 + 662. Let y = -1 + -1. Let o = 0.08 - 0.08. Sort o, 0.2, y, g.\nAnswer: y, o, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/28*-7*1\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -10, 1\/3, -3, 0.05 in descending order.\nAnswer: 1\/3, 0.05, -0.4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 + -1.6937. Let x = d + -0.0062519. Round x to 6 decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/28*(-11 + 17).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-12)*(-2 + 3). Let k = -8 + 13. Let b = k + -3. What is the biggest value in p, 3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + 46 + -72 + 11 + -9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 40045.47 meters?\nAnswer: 40045470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423.002 - -38.9.\nAnswer: -384.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5 + 1) - 31. Let g be 1\/(-4) + (-9288)\/u. Suppose s + g = 3*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -5*x**3\/3 + 9*x. Let l(b) = -b**2. What is l(h(n))?\nAnswer: -100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415601481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*w = 5, 19*w - 24*w + 5 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0*n**2 + 22*n + 0*n**5 + 7\/6*n**4 + 0*n**3 + 0 + 6\/5*n**6. Find the third derivative of o(z) wrt z.\nAnswer: 864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -720 (base 12) to base 2.\nAnswer: -10000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 543 + 2525?\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 488808 and 737592?\nAnswer: 205788168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w + 0*w + w)*(-4*w - 2*w + 2*w) + 5*w + 2*w**2 - 5*w + (-w - 3*w + 3*w)*(-3 + 3 - 2*w) + (-5 - 2*w + 5)*(-w - 3 + 3) + 2*w**2 - 5 + 5.\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011833233 to 5 dps.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1381 greater than or equal to -1352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:05 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29*x + 223. What is a(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*w - 1101*w - 4729*w**2 + 548*w.\nAnswer: -4729*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19868477639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 11*w + 11. Let n be i(14). Let x = n - 51. Which is the nearest to 3\/5? (a) 5 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -54, -51, -48?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 0.10756252.\nAnswer: -12.10756252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvwv when four letters picked without replacement from {w: 4, v: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*x + 9. Let l be ((-24)\/x)\/((-1)\/7). Suppose -4*z = -l - 4. Solve j + j = z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*y = 1 - 22, -2*j = 3*y + 11. Suppose 5*f + 9 = j*k, f + 4*k + 9 = -6. Which is the second biggest value? (a) -2\/5 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12547243, 25094486, 37641729, 50188972, 62736215?\nAnswer: 75283458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5995, -6030, -6061, -6088?\nAnswer: -6111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61933 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50947, -46666, -42385?\nAnswer: -38104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 409846.408 to the nearest 10.\nAnswer: 409850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(5 + 2 + 1)*(2*o + 2*o - 6*o).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1194\nAnswer: -1\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5ab180 (base 12) to base 11\nAnswer: -915012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -939284*f**2 + 2*f - 8096430?\nAnswer: -1878568*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 5*i - 5*t, 3*i + 3*t = -2*t + 223. Suppose 396 = 4*o + 124. Let g = i + o. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 5*g - 155 = -62. Is 39\/20 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3, -0.027?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1320678)\/(-37677) + 2\/(-38)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**41\/(p*p**(-1\/5)\/p)**(-17) assuming p is positive.\nAnswer: p**(-256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.7, 0.4, -1, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336475490?\nAnswer: 2, 3, 5, 7, 23, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 divided by -16?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*f**5 - 77300*f**4 + 328332*f**3 - 463444*f**2 + 251012*f - 38616 = 0. What is f?\nAnswer: 1\/4, 1, 2, 4827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 - 1481. Let f = t + 2734. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 656*x + 4. Let w be u(0). Let k(c) = -c - 2. Let y be k(0). Let f be 5*(1*y)\/(-2). Solve -4*t - w*m = -7*t - 1, -f*m + 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2046 divide 247467792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -596*s**3 - 6544*s**2 + 132*s = 0.\nAnswer: -11, 0, 3\/149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (13 - (-2)\/2). Calculate the highest common divisor of c and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/102 + (-22)\/(-4) + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21858 and 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - 42155?\nAnswer: -42122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.1. Let s = -6.94 + 7. Let q be (-3*(-4)\/12)\/(2\/(-4)). Which is the second biggest value? (a) s (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035 = -109*n + 178*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2127 or 2.7708?\nAnswer: 2127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -414, -320, -226, -132?\n\"Answer: 94*m - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6959 - -41755\/6. Suppose 0 + i*u + 1\/6*u**2 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1539 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62275486551\/3938990 + 686\/537135. Let t(b) = 5268*b - 7. Let m be t(-3). Let c = r + m. What is the common denominator of -46\/33 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -39*1\/3*-1. Sort -2, -1, y, 5 in ascending order.\nAnswer: -2, -1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1011868.28438 and 67.9.\nAnswer: 1011936.18438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -12. Suppose 2*s - 2 - 6 = 0. Let i be (s - (-110)\/(-25))*-5. Solve -i*n + 12 = 5*t, -b*n + 3*n + 5*t = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 122.24546307?\nAnswer: 123.24546307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = p + 3*t, p + 463*t = 459*t + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2. Let x(h) = 3 + 1328*h - 1323*h - 3. Let v(i) = -2*i. Let y(l) = -14*v(l) - 6*x(l). Determine g(y(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 11*m**3\/2 - 19*m**2\/2 - 28*m. What is the units digit of s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 g when three letters picked without replacement from eegojooeeoeregge.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190444 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 6*o**2 - 108*o + 640. What is q(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 296944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 844, -2, 4, 0, -3, 1 in decreasing order.\nAnswer: 844, 4, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = -2*i. Suppose -4*z + 144 = -i*z. Suppose 0*n + 2*n + z = 4*j, -j + 18 = -3*n. What is the smallest common multiple of j and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n**(-1\/6)*n)))\/(n*n**(-7)))\/(n\/(n*n*(n*n\/(n*n\/(n\/(n\/n**(-1))*n*n)*n*n)*n)\/n))**(-44))**(23\/3) assuming n is positive.\nAnswer: n**(943\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*v - 3*s, 3*s - 30 = 2*v - s. Let t be (v\/20)\/(639\/(-24)). Is -1\/2 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/20)\/(2\/(-8)*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-975)\/(-1400))\/13)\/(4\/(-160)*6).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = m - 2*g, 0*m - 4*g = m - 91. Let x = -743\/9 + m. Let -x - 2\/9*z**2 + 2\/3*z = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2980 is divided by 743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**7\/4200 + g**5\/200 + g**4\/60 + 4*g**3\/3 - 2. Let o(l) be the third derivative of c(l). Factor o(u).\nAnswer: -(u - 2)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7909 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32530024*o**3 + 18306373*o?\nAnswer: 195180144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 4*h - 2, 0 = -2*h + 2. Let w(o) = o**3 - o + 4. What is the units digit of w(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50791, 50793, 50795, 50797, 50799?\nAnswer: 50801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -772 by -77.\nAnswer: 772\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*k - 210, 5*b = -3*k - 22 + 129. Calculate the remainder when 93 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12102 divided by 8159?\nAnswer: -12102\/8159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168361313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0491157 rounded to three decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -44*u**3 + 1328*u**2 - 420*u + 20. Let w(v) = -6*v**3 + 190*v**2 - 60*v + 3. Let o(n) = 3*k(n) - 20*w(n). Factor o(m).\nAnswer: -4*m*(m - 15)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 4 + 24. Let k(p) = 9*p - 24. Let h(a) = a. Let w(l) = j*h(l) + k(l). Differentiate w(f) wrt f.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 + 1. Let o(c) = 3*c**3. Let l(t) = 5*o(t) + 6*q(t). Find the first derivative of l(j) wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/30*-1)\/((-12)\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.451 or -502?\nAnswer: 4.451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 663884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10302013 (base 4) to base 7.\nAnswer: -111055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**2 - m. Let q be 81\/(-2)*(3 + -4 + -1). Let n(r) = -96*r**2 - 5*r + 3*r + q*r**2. Determine -11*j(b) + 6*n(b).\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 220.\nAnswer: -7\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*r + 45*r + 1.\nAnswer: 49*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39605 - -39604.9940126. Round t to 5 decimal places.\nAnswer: -0.00599","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.5268t in nanograms?\nAnswer: 42526800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*d - 3*x, 5*d - 2*x = 3*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r - 125. Let c be p(-8). Solve 4 = 7*i - c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51500080 - 0?\nAnswer: 51500080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001465 rounded to five decimal places?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6199492312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 2*f**2 - f**3 + 6*f**3 + 2*f**2 - 2*f**2 + (-f - f + 0*f)*(4*f**2 + f - f) to i + a*f**2 + r*f**3 + m*f and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*l - 12, b - l = 2*l + 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 75*u - 99*u + 199*u + 488 = 0, -4*u - 92 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/5)\/(((-414)\/60)\/23). Let m be (-1 - -49)\/(10\/j - 1). Calculate the highest common divisor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwmmmwm. Give prob of picking 1 r and 3 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 581573 divided by 7.\nAnswer: 581573\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -770031.12 minus 1729?\nAnswer: -771760.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*w**5\/7 + 13257*w**4\/7 + 318351*w**3\/7 + 281583*w**2\/7 - 23550*w\/7 = 0. What is w?\nAnswer: -314, -25, -1, 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 101101101001001001000 (base 2) to base 8\nAnswer: 5551110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -6\/341, -0.3409, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8991510061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8448 by 4224.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.281 + -0.26. Let w = -0.094 - i. Let j = 0.705 + w. What is j rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-65)\/1*23\/(-2576)*12?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/15 + 2*x**2\/3 + 16*x\/15 - 8\/5 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 52 = -3*s, 5*s + r + 77 = -2*r. Let b be (-35)\/(-4) + 12\/s. Suppose 0 = -9*y + b*y + 34. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14369, 14370, 14371, 14372, 14373?\n\"Answer: i + 14368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 + -173 + -4 + (-3 - (-9 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*b - 365*b + 1512 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - 7*p - 50. Let m be z(6). Let k = 200 + m. Solve 0 = -i - k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 + 113. Suppose -4*g + 1 = k*h, 0 = -5*g + 2*h - 2 + 32. Solve -5*p = -g*l + 7, 3*l - 17 = -2*l - 2*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/265 and -28\/65295.\nAnswer: 3460635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093 times 0.0835354?\nAnswer: -0.0077687922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 1. Let w = 4 - 1. Suppose 2*g + 3*g - 3*z - 6 = 0, 0 = -w*g + z + 6. Put b, -0.4, g in ascending order.\nAnswer: b, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3598 + 0.052\nAnswer: 3598.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -49*j. Let p(h) = h + 1. Let v(z) = -9*z - 12. Let x(a) = -3*a - 4. Let t(r) = 6*v(r) - 17*x(r). Let c(f) = -4*p(f) - t(f). What is c(w(d))?\nAnswer: 49*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.77454 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-1*sqrt(1100) - sqrt(1100)))*6 - (sqrt(11) + sqrt(77)\/sqrt(7) + 0 + sqrt(11) + (sqrt(11) - sqrt(2112)\/sqrt(3))))**2.\nAnswer: -1392*sqrt(11) + 148052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 191, 0, 5 in descending order.\nAnswer: 191, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*f - 271*f + 87*f + 93*f + 255 - 2*f**3 as o*f + n*f**2 + b + c*f**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599872 divided by -1339.\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 30 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6252*z - 118801. Determine v(19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:22 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.604 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/21)\/((-1)\/(-12)) - -3. List the prime factors of (0 - x)*(7 + 16).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9321945481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -19651, 12, 1\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 191140134 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1341548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/50)\/c)**(5\/9) assuming c is positive.\nAnswer: c**(-49\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 5*d + 6. Let g be s(-2). Solve -4*a + 6*a - 6 = g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302694 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 77004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.07\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -1\/8*z**4 + 0*z - 18*z**2 + 0 - 17\/6*z**3. Let i(f) = -f - 6. Let u(w) = 3*w - 6. Let y be u(4). What is y*a(r) - 17*i(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 10. Let k = 1246\/5 - 249. Which is the second smallest value? (a) k (b) u (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2704*-1.\nAnswer: -0.2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s**2 - 1. Let b(q) = 16*q**3 - 6*q**2 - 15*q**3 - 6 + 12*q**3 - 12*q**3. Determine b(c) - 6*v(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/8)*z**(2\/27))**3 assuming z is positive.\nAnswer: z**(205\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 3 - 2 - 5. Let h(l) = -l**3 - 14*l**2 + 147*l + 8. Let z be h(7). What is p(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 3, j: 4}. What is prob of picking 1 j and 2 u?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2535557*c**3 + 2*c**2 + 11392*c - 1 wrt c.\nAnswer: 15213342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192560612 + -409790612. What is x rounded to the nearest one million?\nAnswer: -217000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-7)\/27)\/((-3)\/(-18)) and 4\/8 + 551\/(-684).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 12 = -4*o + 4, 3*u + 0*u = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 17. Let h be (-2)\/(-10)*(-5)\/(-24). Let l = 5\/8 + h. Do s and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*d**3*i**2 - d**3*i + d*i**2 + d*i + 1358*i wrt d?\nAnswer: 168*d*i**2 - 6*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -27. What is the third smallest value in -5, 4, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30.7 and 2222330 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 25621, 40, -2, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkln when four letters picked without replacement from nnkllnliil?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*l - 26*l**2 + 104\/7 - 64\/7*l**3 + 6\/7*l**4 = 0 for l.\nAnswer: -2, -1, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 + -7)) + -5 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 15, -5*u = 4*j + 6 - 9. Put 5, 0, -22, j in descending order.\nAnswer: 5, 0, j, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -381 - -401. What is the second derivative of -n*k**3 + k**5 + 117*k + 4*k**3 - 61*k**3 wrt k?\nAnswer: 20*k**3 - 462*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32085360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 434*x**2 + 2*x - 4. Let b be f(2). Suppose 5 = -6*i + 5*i, -b = -3*l - 5*i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q + 5090279 = -3*q + 25*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 2*m + 4536 = -32*p, -m + 6784 = 3*p. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 4*q - 11, 5*p - 65 = -3*q - 83 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Suppose -s*q - q = -20. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -4)*(-927 + 5). Suppose w - k - 79 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 96 - 65 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddodysnwywwoo. Give prob of picking 2 d and 2 o.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7533.2g?\nAnswer: 7533200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/2*y + 18 - 1\/2*y**2.\nAnswer: -(y - 1)*(y + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3\/5 - 696783*t**2\/5 - 8091984849*t - 121373501769\/5 = 0.\nAnswer: -116129, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**6\/1320 - h**5\/660 - 5*h**4\/132 - 4*h**3\/33 - 22*h**2 + 3*h. Let t(f) be the first derivative of n(f). Factor t(d).\nAnswer: (d - 4)*(d + 1)*(d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2 + 7*r - 251. Let u be b(51). Round u to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 2*a)*(2*a - 9*a + a) + a - a - a**2 + 3*a**2 - 3*a**2 + a**2 - 51*a**2 + 212*a**2 + 323*a**2.\nAnswer: 478*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(126\/(-4)))\/(50\/225))\/77.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 284*k**2. Let o(y) = -22*y. Give b(o(x)).\nAnswer: 137456*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five eighths of a tonne?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 104139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11066 divided by 5533\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15583 - -24761. List the prime factors of z.\nAnswer: 2, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/6 + 3*t**2 - t. Let u be v(-5). Solve 2*y + 4*x + u = x, 0 = 2*y + 2*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000054195 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20.7 in 2\/11, 5, 6\/7, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 0 - 1 - y**3 - y**2 + 0*y**3. Let s(u) = -3*u**3 - 5*u**2 - 2. Let a(r) = -r + 2. Let f be ((-2)\/4)\/((-2)\/24). Let k be a(f). Give k*q(x) + s(x).\nAnswer: x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 + 12.69. Let s = k + -12.94. Round s to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98573932.\nAnswer: 2, 109, 226087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 4885*g**2 + 9735*g - 14625.\nAnswer: 5*(g - 1)*(g + 3)*(g + 975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188.458ml to litres.\nAnswer: 0.188458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6228*g - 2516100. Give t(-404).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18*-4*(-4)\/120*(-1070)\/(-13482)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*9\/(-90) + 0)*-22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.07 and -1?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 61*q + 44. Let k be n(-30). Suppose -3*s = -2*d - 29, k*s - 10*s = 5*d + 27. Solve r + 4*a = -a + s, a - 9 = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303088570?\nAnswer: 2, 5, 19, 29, 67, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/((-23520)\/(-777))*(-16)\/(-2)?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2. Let n(k) be the first derivative of -2*k**3\/3 - 39*k + 656. Calculate j(n(c)).\nAnswer: 16*c**4 + 624*c**2 + 6084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*c**5 - 17413*c**4*q**3 - c*q**3 - 157885*c wrt c.\nAnswer: 2840*c**3 - 208956*c**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3553 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*21\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + (-28 - (-52 - 48))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:52 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-6)))*y\/y**(3\/8))\/((y*(y**7\/y)\/y*y*y)\/y**5))\/((y**(-2))**25\/(y**(-2)\/(y*((y**(-6\/11)\/y)\/y)\/y))) assuming y is positive.\nAnswer: y**(3799\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmaasmccrmmrca. What is prob of sequence asr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1935)\/20)\/43)\/(33*2\/32).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18217\/16 - 1139. Calculate the common denominator of 95\/12*(-15)\/(-10) and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1539) + 1)*6 - sqrt(1539))*5)**2.\nAnswer: 121500*sqrt(19) + 8664975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 14*r - 2. Let a(i) = -2*i**2 - 27*i - 4. Let z be ((-22)\/4)\/((-29)\/(-58)). Calculate z*h(d) + 6*a(d).\nAnswer: -d**2 - 8*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1709\/24 + 217\/3. Let n = -18 + 6. Find the common denominator of ((-165)\/n)\/5 + 1 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1100011010?\nAnswer: 1100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d. Let v(z) = 2*z**3 - 17*z**2 + 9*z - 1. Let r = -12 - -20. Let i be v(r). Let n(g) = 4*g - g + i*g - 3*g. Give k(n(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2)\/(-31 - -30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + l + (l - 2 + 2)*(-3 + 2 - 1) + 0*l - l - l - 15*l + 52*l + 2*l)*(2*l + 8*l - 4*l)*(4 + 0 - 2).\nAnswer: 432*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.13\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 18*g - 9. Suppose -5*a = l - 5 - 18, 13 = g*a + l. Suppose -a*x = 98 - 713. Calculate the remainder when x is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 - 6*i**2 + 80*i**2 - 15*i**2.\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -95*h**3 + 231*h + 33. Calculate a(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171 divided by -49?\nAnswer: 1171\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -w - 13*j + 5, -5*w + 3*j = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h - 8*h + 10*h in the form b + m*h and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnn. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p + 16*p - 2*p - 8*p. Let u(k) = -20*k**2. Give u(h(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5\/3 (c) 1\/10 (d) 4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4689 + 4685.2. Which is the closest to -1? (a) 2 (b) 9 (c) -2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4620)\/350 - 5\/(-25)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000124372098 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, m: 6}. What is prob of picking 1 r and 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126504053?\nAnswer: 13, 9731081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24009 + -23901. What is the highest common factor of 2943 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.651 plus 0.2483?\nAnswer: -66.4027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -22032.\nAnswer: 110160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 21523\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 9:46 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 7, -3, -28 in increasing order.\nAnswer: -28, -5, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xee when three letters picked without replacement from exexeeeeee.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2143 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*-10*(-3)\/9. Let a = 14 + d. Let m(y) be the second derivative of -y**5\/20 + y**4\/4 + y**3\/2 - y. Calculate m(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*f + 22, 2*f + 0*p - 3*p = -13. Let q(n) = -n**2. Let d be q(f). Let g = -96 - -96.3. Which is the second biggest value? (a) -3\/4 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 159 = 198. Suppose 0 = -3*i + 34 + u. What is the remainder when i is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6 + 13*t - 17*t**2 - 8 - 11. Let m(w) = -w**2 + 104. Let v be m(0). Suppose 13*d = 17*d - v. Let n(f) = 4*f**2 - 3*f + 3. Give d*n(j) + 6*o(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12575089*o + 15306271 wrt o.\nAnswer: 12575089","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8*-4*-1. Let l be ((-3)\/b)\/((-6)\/20). Differentiate -8*x - 16 + 2*x - l*x + 2 with respect to x.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:47 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgtgggsxgttgtggg. Give prob of sequence sgsg.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1552, -1531, -1470, -1351, -1156, -867?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 2, s: 2, m: 1, a: 1, r: 1}. What is prob of picking 1 s and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 divided by -1.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1.9996. Let z = 0 - d. Let a = 0.01 + z. What is a rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/243 and (2\/72)\/(2070\/(-17296))?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-2)\/w*w))*(w\/w**(2\/9))\/w)\/(w**(-15)*w**(-10\/11)*w))**(-2\/11) assuming w is positive.\nAnswer: w**(-2512\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -78 - 0 - (-2283 + 2200)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -910566, -1, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -4*t - 0 + 8, 2*s - t = -7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 772819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31031 (base 4) to base 13.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 906 + 8*i**2 - 906. Let o(v) = -2*v**2. Calculate g(o(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -4*f - 4*o, 0*o + 2*o = -4. Let c = f - -17. Solve c*i - 8 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*c + 35. Suppose -4*d - 3*v + 19 = 0, 2*d - 4*v = d. Find the second derivative of -r - c + r**d + 7 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1445816 and 42524?\nAnswer: 1445816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10861000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/12 - 7*y**3\/6 - y**2\/2 - 2*y. Let p(c) be the first derivative of s(c). What is the units digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*c + 1348, 2*c = -11*f + 15*f + 896. What is the lowest common multiple of c and 150?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 25*k**2 - 39*k + 70. Find the first derivative of n(x) wrt x.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**2 + 840*n + 845*n - 2522*n + 2*n**2 + 837*n.\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:19 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000164107 rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26727040 divided by 5345408\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 3.05. Sort j, -3\/13, 4\/3 in increasing order.\nAnswer: j, -3\/13, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 50 = -8*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4235477?\nAnswer: 1459, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4790\/2 - (-8 - -14 - 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - g + 1. Let z(o) = -o**2 + 6*o - 9. Let n be z(4). Let f(b) = -4*b**2 - 2*b + 4. Suppose 7 = -5*d + 17. Calculate d*t(w) + n*f(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 11*a = -31*a - 1248 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28894, -28901, -28908?\n\"Answer: -7*z - 28887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2352.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15207 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - 111?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2. Let h(w) = -w**2 - 3. Let s(j) = -2*j**2 - 5. Let x(r) = -5*h(r) + 3*s(r). Determine x(a(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1270*k - 1 - 10*k**2 + 1270*k + 9*k**2. Let v(t) = 2*t**2 + 1. Suppose -2*f - f - 8 = -s, f + 16 = 3*s. Give f*v(p) - x(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a - -83?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b. Let w(t) = 103920*t + 21. Determine m(w(r)).\nAnswer: 935280*r + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/136*6\/9)\/(1\/6).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59488723?\nAnswer: 7, 8498389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 2*b**4 + 6*b**3 + b + 4*b**2 + 202 - 204 to x*b**3 + l*b**2 + y*b + p + v*b**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjy when three letters picked without replacement from yjjyjyyy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 - 129. Let r = 237 - -145. What is the remainder when r is divided by l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, 5, -5, 18585, -4, 0 in increasing order.\nAnswer: -5, -4, 0, 3, 5, 16, 18585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2 + (1 - -7). Is 5 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -840297\/5 + 166916. Let i = -1147 - h. Let m(s) = 2*s**3 - 27*s**2 + 38*s - 28. Let o be m(12). Which is greater: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 26. Let n(t) = -15*t + 53. Let g(f) = 13*k(f) - 6*n(f). Let l be g(10). What is the highest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from mmkdqmdmmqmm?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1039014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -173 + d988?\nAnswer: d815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31176885?\nAnswer: 3, 5, 29, 71671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(76) - sqrt(76)) + 5*(sqrt(76) + -3)**2 - 4*((-1*sqrt(76) + sqrt(76))\/sqrt(4) + sqrt(2736) + 0 + -3)**2.\nAnswer: -10558 + 228*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22280 - 22190. What is the second biggest value in 0.4, 0.3, o, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -266064650*g - 281737379 wrt g?\nAnswer: -266064650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 1, y: 1, x: 1, r: 3}. Give prob of sequence vrxr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 20. Suppose 2*s - n = -3*s. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:58 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137632740?\nAnswer: 2, 3, 5, 7, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 7:54 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*u - 9260, -6*u = -14*u + 32. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12100*r + 617107. Give q(-51).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence immi when four letters picked without replacement from {m: 6, i: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 7*j**2 - 154*j + 1089. What is h(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -13*b**5\/60 - 403*b**2. Let p(i) = 34*i. Give w(p(f)).\nAnswer: -15028*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/94 (c) -2 (d) 0.16 (e) -2\/5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/61 + 2743\/122. Calculate the common denominator of -23\/11 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n + 13 - 2*n**5 - 4263*n**2 + 324*n**6 + 4249*n**2 + 226*n**6 + 2*n**3 - 139*n**6 wrt n?\nAnswer: 49320*n**3 - 120*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93306 - -17075054\/183. Is n at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - (19 - (10 + 7) - (-13 + 12))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*o + 39*o + 49*o + 53*o + 50*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1845247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293596 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28693174 to four decimal places.\nAnswer: -0.2869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q**2 + 55*q + 25. Calculate j(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29516463\/4 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10549.98 - -10550. Sort -3\/5, -5, 1\/2, l, -3\/2.\nAnswer: -5, -3\/2, -3\/5, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -759490, -1518993, -2278510, -3038041, -3797586?\n\"Answer: -7*y**2 - 759482*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57673 and 115545234.\nAnswer: 1270997574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 + 0*w**4 - 2*w**4)*(1 + 2*w - 1 + (0*w + 0*w - 2*w)*(-3 - 2 + 3) - 2*w + 2*w + w) - 4 + 4 - 4*w**5.\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94005.64g to micrograms.\nAnswer: 94005640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(-255)\/(-51)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-5 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**3 + 19*m - 2. Let s(c) = -9*c**3 + c**2 - 15*c + 3. Let w(b) = -4*q(b) - 5*s(b). Let v(o) = -5*o**3 + 3*o**2 + o + 3. Give -5*v(u) - 3*w(u).\nAnswer: -2*u**3 - 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, d: 2, c: 1, a: 1}. What is prob of sequence dcan?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -1 + (4 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:48 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9804337.2ms in weeks?\nAnswer: 0.016210875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4579874319182 + -0.04.\nAnswer: -4579874319182.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 - x**2 + 5*x**2)*(-x + x + 4*x**2) + 2*x**4 - 5*x**4 + 0*x**4 to the form r*x**4 + o*x + l*x**3 + s*x**2 + i and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1313 by 2297.\nAnswer: 1313\/2297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15674)\/(-2305) - 5523\/810.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 5*z - 29*z - 2*z + 2*z - 2*z + 1 - 1 + z + 2*z - 6*z + 2*z - z + 3*z + 0*z + (4 - 1 - 1)*(-z - 2*z + z) - 2*z + 4*z + 0*z - z + 1 - 1.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122113120320 (base 4) to base 2.\nAnswer: -11010010111011000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1162378 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(304) - (sqrt(209)*3)\/sqrt(11).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*p**2 + 44*p**2 + 12*p**2 + (3 - 2 + 0)*(p**2 - 2*p + 2*p) + 0*p**2 - 3*p**2 + 2*p**2 + (-11 - 2 - 6)*(1 + p - 1)*(0*p + 2*p - 4*p).\nAnswer: 126*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 73*z - 11. Let o be y(-31). What is o rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/39 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 155573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3556*h + 3558*h + 29 = 3*g, -6*g + 45 = -5*h - g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*g + 5*z, -4*z + 35 = -4*g - 93. Let x be (-499)\/230 + (-4)\/g. Let b = -66\/23 - x. What is the third biggest value in 8, 2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -230, -81, 320, 1099, 2382, 4295, 6964, 10515?\n\"Answer: 21*g**3 + 2*g - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50368305 or -50368304?\nAnswer: -50368304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 8*l**2 + l + 2. Give u(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and -1250*(-4)\/64 - (-3)\/(-24)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 6\/5 (b) 164 (c) 2 (d) -0.2 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -6*v**2 + 804. Let p(w) = -87*w. Determine p(j(u)).\nAnswer: 1044*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/24 + 2*p**5\/15 + 11*p**4\/24 + p**3\/6 + 46*p**2. What is the second derivative of l(m) wrt m?\nAnswer: 30*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*j = -10, 3 = g - j - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -6110.\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226945\/16 - 14178. Let i = 2026 + -360627\/178. Find the common denominator of s and i.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(4\/11) assuming r is positive.\nAnswer: r**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 904\/3 - (112\/21 - 6). Suppose g + 122 = v. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + t + 5 = -9*w - 6*w, w - 5 = 2*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p + 0 + 7 - 9 + 9*p**2. What is the hundreds digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154.78 + 152.98. What is the biggest value in 2\/11, 1\/3, 2\/15, -1\/2, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*u**2 + 6*u**2 - 5*u**2.\nAnswer: -8*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13 + (-28)\/7)\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 333127.\nAnswer: 1998762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 2. Let s = 12 + -6. What is l(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t - 12. Suppose 93 = 3*h - s, -t*h + 4 = -4*s - 120. Suppose a = h + 13. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 22*n**2 - 8*n + 3*n as r*n**2 + o*n + q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, -5*k = -5*d + 245 + 175. Let p = k + 175. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**3 + 3*d**2 - 3*d + 1. Let j(m) = -37*m + 3. Let l be j(-2). Let f = l - 44. Calculate the remainder when f is divided by z(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -76*m + 77*m. Let s(n) = 48*n**2 - 2*n + 1. What is the tens digit of s(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*k = -229*k + 64. Suppose 0 = x - 2*x - 2. Sort -1, x, k in decreasing order.\nAnswer: k, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 38 = 4*b - 2*b, 25 = 5*b. Let q = t + -9. Solve q*v - 4*v = 3*w + 11, 0 = 2*w + 4*v + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 52. Suppose -54*z + 49*z + k = 0. What is the highest common divisor of z and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = -2*n, 3*j - 6 = 5*n + j. Suppose n = -m - 4*m. Suppose 4*v = -m*v. Solve -4*g + 0*g + 8 = v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 26. Let b(l) = 12*l - 32. Let w be b(11). Calculate the highest common factor of z and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1315 + -854. Suppose -4*d - d + 354 = 4*t, -5*t = -3*d - s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -20\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**8\/20160 + g**6\/360 - g**5\/60 - g**2. Let p(i) be the third derivative of w(i). What is the derivative of p(u) wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 4814?\nAnswer: -480d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 20*h + 8. Is j(17) 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 16 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29c (base 14) in base 15?\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 35 = -46*x + 65. Let d(l) = 1 - 2*l - 6 + 3. Give d(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-56)\/(-12)))\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*1*-4 + sqrt(96) - sqrt(96)) + sqrt(96))\/(sqrt(132)\/(sqrt(1100) - (sqrt(1100) + sqrt(1100)*2))).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x**2 - 2 + 2)*(-313 + 248*x**2 + 313 + 18*x**2).\nAnswer: -798*x**4 - 266*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 280.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/10 + 21*t**2\/10 - 11*t\/5 = 0.\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/21 and -117\/96992?\nAnswer: 290976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 12. Let f be p(-4). Let n be 16 - (-2 + 1)\/(-1). Suppose 4*o = -n - 1. Put -5, f, o in descending order.\nAnswer: f, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0518 * 2\nAnswer: 2.1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -19*l - 2. Let h = 23 - 28. Let c(j) = -3*j + 7. Let w(q) = 2*q - 5. Let y(n) = h*c(n) - 7*w(n). What is y(o(r))?\nAnswer: -19*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 114, 525, 1210, 2175, 3426, 4969?\n\"Answer: f**3 + 131*f**2 + 11*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, b: 4, t: 2}. Give prob of picking 1 s and 2 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l**2 + 2*l. Let t(x) = 62*x + 94*x - 159*x. What is t(i(k))?\nAnswer: -48*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-21) - (-97066352)\/3444.\nAnswer: 2, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 1536470.177.\nAnswer: 1536469.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/4*(-2)\/3. Let s = 3 - h. Is 4 a factor of s\/1 + 12\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 266 = -3*j, 3*j + 91 = 4*j + 4*f. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237891 (base 11) to base 10\nAnswer: -376410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0465 times -0.08\nAnswer: -0.00372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -16*9\/(-144)*-1. Which is the biggest value? (a) -6 (b) -73 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 574 = 12*c. Is c > -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 79, -3, -14176, 1 in ascending order.\nAnswer: -14176, -3, 1, 8, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -72. Differentiate -45*z**3 + 28*z**3 - v + 95*z**3 - 9 with respect to z.\nAnswer: 234*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 134?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877.3628 kilograms to tonnes.\nAnswer: 0.8773628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blbl when four letters picked without replacement from {b: 3, h: 1, q: 3, l: 3, n: 5}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 78*l**2 + 69*l - 150.\nAnswer: 3*(l - 1)*(l + 2)*(l + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-357)\/(-102) - (2\/(-4) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p**2 + 2*p + 25. Let k(n) = 108*n**2 - 21*n - 252. Give -2*k(h) - 21*w(h).\nAnswer: 15*h**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1451 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4558*v = -11088*v - 4462*v + 305448 - 1745400 for v.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219408494*n**3 - 878227*n**2 - 24.\nAnswer: -1316450964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46045 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 150 - 19286*z + 37 + 50 in the form d + i*z and give i.\nAnswer: -19286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = -5*f, -4*w + 9*w - 45 = -5*f. Suppose -w*a = 3*k - 3*a + 34, 4*k - 3*a + 68 = 0. Let c(y) = -y - 4. List the prime factors of c(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 30\/(-8))\/((-3)\/12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 w when four letters picked without replacement from lwwlkwlkllalllw.\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 671*l**4 + 10 - l + 824*l**4 - 112*l**2 - 1497*l**4 as o*l + u*l**3 + p*l**2 + g + a*l**4 and give p.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -2.4 (b) 6 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 + -2. Let f be 6\/(-24) - 8\/64. Which is the smallest value? (a) s (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = g + g + 28750, -n + 14379 = g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + 0\/(-1). Let j(r) = -r**2 + 10*r + 16. Let h be j(19). Let f be 4 + h\/30 + 1. Which is the nearest to 0? (a) f (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18292 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - (sqrt(2016) - 2*sqrt(2016)))*-5)\/((sqrt(32) + sqrt(8))*6 + sqrt(72)\/sqrt(36) + sqrt(8))*-5.\nAnswer: 350*sqrt(7)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 343 = 343 - 680, -7*a - 96 = -3*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 6064.\nAnswer: 54576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 78\/7, 10, -1\/3, -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -80*n**2 - 81*n**2 + 160*n**2. Let q(j) = 25*j**2 - 3*j**2 + 15*j**2 - 2*j**2. What is q(x(c))?\nAnswer: 35*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -14*i + 8. Suppose -17*u + 20 = -12*u. What is the smallest value in i, 3, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w**(-5\/2)*w))*w*w\/w**(-9)*w*(w**9*w)\/w*w*w**(3\/10) assuming w is positive.\nAnswer: w**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2711 + -0.4\nAnswer: 2710.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -20, -25 = j + c - 6*c. Let d(n) = 3*n + 7. What is d(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3 - 21*p**2\/2 + 30*p + 14. Suppose s(c) = 0. Calculate c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1612 and -20\/93.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 39*h**4\/4 + 11*h**3 + 33*h**2\/2 - 33*h - 142. Let j(d) = d**3 + d**2 + d - 1. What is 2*f(w) - 66*j(w)?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -722\/7 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 446 (b) -1\/10 (c) -407.7 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 5:44 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -8*s - 18. Let w(d) = -d**2 - 10*d - 6. What is w(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 4989?\nAnswer: 19956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -319.3 - -338.345. Let t = 19 - a. What is t rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113296 + 223817 = 9*d. Suppose -28*w = -35*w + d. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -1\/6, -2, -6\/53251.\nAnswer: -2, -1\/6, -6\/53251, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -172786 minus 1884022.78?\nAnswer: -2056808.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(((-60)\/6)\/((-371)\/(-106)))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*q = -2*q - 31, k = -2*q + 1. Let w = k + -4. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2715.68 - -2764. Let z = f + -44.5. Round z to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*0.13.\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 343, 762, 1329, 2032?\nAnswer: 2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:10 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 913 and 49551?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/5 - 44*m - 218\/5 = 0.\nAnswer: -109, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -37. Solve 0 = -g*r - t + 6*t + 30, 14 = 4*r + 3*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 - 7*t + 5. Let p(k) = -2 - 4*k**3 - 13*k + 27*k - 11*k. Let l(u) = -7*p(u) - 3*v(u). Give l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3999 - 31929\/8. Calculate the common denominator of 67\/44 and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*y**3 - 43*y**3 - 697*y**3 - 68*y**3 - 22*y**3.\nAnswer: -1061*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/91, -2\/5, 5, -5?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -277 + 290. Let t be -2*(1\/2 + 1). Does 2 divide (t - 0\/2) + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21913298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g + 49*g + 54523 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4 = 2*b. Suppose -3545*q + 3586*q + 2706 = 0. What is the tens digit of b\/11 - -1*(-10548)\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/20 + a**3\/6 + 137*a**2\/2 - 9*a. List the prime factors of w(0).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*o - 1, -5 = -2*s - 5*o + 2*o. Let a(y) = 4 + s*y - y**3 - 3*y - 3*y + 6*y**2. Let r be a(6). Solve 0 = -0*h + 3*h + 6, 2*x - 5*h - r = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/3*1779\/4151.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 16) in base 2?\nAnswer: 100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**9*n*n))\/n)**(-4\/15)*(n**(-7\/3)\/n*n)\/n*n**(-4) assuming n is positive.\nAnswer: n**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77498575 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-1*3\/(-6)). Let z = r - -32. Suppose p - 3*p + z = 0. Let d(t) = t**3 - 2*t**2 + t. Determine d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 5.4 (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1337*a**2 + 3516 - 3516 + 3838*a**2.\nAnswer: 2501*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 - z + z + (3*z**4 + 0*z**4 - z**4)*(-z - 1 + 1) + 9542*z**5 - 36 + 9541*z**5 - 19069*z**5.\nAnswer: 11*z**5 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 93899.96 years?\nAnswer: 9389.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.66 - 0.48. Let f = i + 0.14. Which is the second smallest value? (a) 3\/5 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432322 (base 5) in base 4?\nAnswer: -13122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -243 (c) 333 (d) -1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 43*q - 3058. Determine u(66).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 + 9*w**2 - 8*w + 5. What is i(3)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(-2*i**2 + 0*i + 0*i) + 4 - 2 - 2*i**2 + 5*i**2.\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(2 - 172\/84). Let s be (24\/(-14))\/((-6)\/p). Suppose 5*n + s*d - 5 = d, 5*n = 2*d + 40. Which is smaller: 7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 - 1 + 2 - 1 + 0 + (0 + 1 + 0)*(2 - 4 + 0) + 3 - 1 - 3 + 4 - 5 + 3)*(-3*j - j + 5*j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*s - 7774, 3*p - s + 272 + 23015 = 0. Let g = p - -11045. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840 and 31710.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zmzmzmmzmmmz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25568830 and 2460.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9)*12\/14. Let x be 1\/((-1)\/(10\/65)). Let n = 0.8 - 1. Which is the closest to t? (a) 0.1 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - j + 2)*(736368 + 1604*j - 736368).\nAnswer: -1604*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {e: 1, g: 10, j: 9}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqqqqqqqqrqqzrz. What is prob of sequence rqqr?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 2\/9*c**2 - 1\/90*c**5 - 5\/27*c**3 - 6*c + 0 + 2\/27*c**4. Find s such that i(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -111, -213, -315?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 279601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -18*z**3 - 271*z**2 - 7*z - 7. Let g(n) = 5*n**3 + 90*n**2 + 2*n + 2. Calculate 7*g(o) + 2*y(o).\nAnswer: -o**3 + 88*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1067 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b + 2 + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -368*s**2 - 3*s + 185*s**2 + 181*s**2 - 1 + 4*s to the form w*s**2 + q + o*s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10115 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/3 (b) 1\/8 (c) -0.106 (d) -3 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13692432?\nAnswer: 2, 3, 13, 21943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -1 - (-20 + 14) - (6 + -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) -2 (c) -4 (d) 5 (e) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**4\/4 + z**3 + z**2\/2 + 2*z + 7. Let g be 0 + (0 - (0 + -2)). Let j be (g + -1)\/((-3)\/9). What is u(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*o + 353*o - 4788 = -350*o for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3\/7, -0.2, 0.08, 14?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.3, 4\/5, -3, -870, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018021941 to 5 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 0, 3*y - 5*y = -4*k + 12. Suppose -4*v + 8*v = 3*c + 2749, k*c - 1379 = -2*v. Suppose 3*z - 2088 = -6*w + w, -z = -w - v. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*y - 16 = 0, 5*z - 5798*y + 5795*y + 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*i - 2 - 3, -4*i = 3*p - 35. Suppose 9*w = i*w - 40. Let y(j) = j**2 + 12*j + 25. Let t be y(w). Solve 0 = -0*h - t*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 2. Let f be (-7 - -10)*1*-2. Let x be g(f). Is (-3789)\/(-7) + x\/(-98) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.93 - 0.07. Let v = -14.999992 - s. What is v rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-1))\/((-2)\/(-4)). Suppose -c - l = -m + 3*c, -c + 39 = 2*m. What is the highest common factor of m and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*l + l = 21, -3*b = -3*l + 3. Suppose -2*d = -b, -5*g = d + 3*d - 53. Calculate the greatest common factor of g and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 95. Suppose 2*p - 22 = i. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9147 is divided by 216.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (41 - (6 + 48))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -6.04. Let x = d - 2. Which is the third biggest value? (a) x (b) 0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3064512, -3064537, -3064578, -3064635?\nAnswer: -3064708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - 9\/(-4). Suppose -3*c = -n - 13 + k, 3*c - 17 = -5*n. Differentiate -3*u**4 - 3*u**4 + 4*u**c + 1 with respect to u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - (-26 - -34).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 12*m**2 - m + 20. Let w be o(10). Let t = w + -213. Which is the biggest value? (a) t (b) 1\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -517.217 + 517. Let h = -0.017 - t. Suppose 2*g = 3*q + 2*q + 15, -20 = 3*g + q. What is the smallest value in -0.2, 3, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9295111 years?\nAnswer: 0.0009295111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:58 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.16 and 0.3037?\nAnswer: 0.655992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, a: 2}. What is prob of sequence ff?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -90 = -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2437483439?\nAnswer: 2437483439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/(-16))*15\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545274 = -105*d + 123*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 12633896?\nAnswer: 176874544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 693 and 4951716?\nAnswer: 14855148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 23. What is the remainder when 245 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(1\/3))**(-2\/33)*((k**(-2\/7)*k)\/k)**(1\/23))**(-12) assuming k is positive.\nAnswer: k**(7232\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) 2\/7 (c) 0 (d) -2\/19 (e) -2\/5 (f) 479\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/110 + -159\/220. Let u = 1804.28 - 1535.2. Let f = -269 + u. What is the nearest to f in q, 2\/21, -2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103718659 minus -76069?\nAnswer: 103794728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14116.\nAnswer: 2, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 143?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192.7 - 179. Let r = 360 + -347. Let a = l - r. What is the third smallest value in 3, a, -5, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-11 + 3 - (-41 - -36) - 5)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -5745159 = -5745153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5385 - 20187?\nAnswer: -13702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678 - 279 = 29*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/4)*n*n*n\/n**(6\/11) assuming n is positive.\nAnswer: n**(119\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24726 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: Let h = 2\/47 + 178\/235. Let q = -87931\/36 - -2443. Let t = -11\/9 + q. What is the closest to -1\/3 in h, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193289351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.13 + -0.13. Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) + -2*sqrt(1323))\/(6*sqrt(36)\/sqrt(4)).\nAnswer: -7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 163*i**2 + 495*i - 1314. What is a(-166)?\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - -3?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 453631?\nAnswer: 453626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 + 15*g - 15*g - 4*g**2 + 2*g**2.\nAnswer: -10*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -341.7968 + 342. Let s = -0.0032 + k. Let f = 0.1 + -0.1. Which is the nearest to 2\/7? (a) 3 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 37565698?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 4*y**5\/15 - y**4\/12 - y**3\/2 + 5*y**2. Let x be q(-2). Let h = x - 44. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 656 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foy when three letters picked without replacement from qfofwwyowwwhqfooyqoo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4033155 by 21.\nAnswer: -192055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/(-12) + (0 - 0). Is 24*14 + s\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/19 + 6929150*l**2\/19 - 27716574*l\/19 + 20787426\/19 = 0 for l.\nAnswer: 1, 3, 3464571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y - 175. Let u(f) = -5*f + 84. Let t(w) = 2*q(w) + 5*u(w). Calculate t(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 18*x**2 - 142*x + 2. What is t(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)\/(s*s*s\/(s\/s**9)) assuming s is positive.\nAnswer: s**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -56. Suppose 4*t = 4*q - 12, t = -3*t - 4. Suppose -3*s = -k + 14, 19 = 2*k - q*s - s. Solve 5*u - 16 = b*j - 3, -5*j = 5*u + k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -59541*s**3 + 3*s**2 + 10*s + 5. Is l(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988 is divided by 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 115 + 25 = -77*w + 81*w, -4*z = 5*w - 172 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 + 12*u - 12. Suppose 0 = -4*n + 2*b - 30, -n - 18 = 3*b - 7*b. What is the remainder when w(7) is divided by (52\/n)\/(18\/(-27))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.5 (c) -2\/13 (d) 164 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(-3 + sqrt(7) + (sqrt(1008) - sqrt(1008)*-1)) + 4*sqrt(252)*-1 + -1 + sqrt(252) + 1)**2.\nAnswer: -84*sqrt(7) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14*w**3 - 2*w**2 + 12*w. Let u(x) = 43*x**3 + 7*x**2 - 36*x. Let s(v) = -7*c(v) - 2*u(v). Find the second derivative of s(t) wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496458883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d - 5. Let s be h(-1). Suppose 0 = -5*n + 4*l + 10, n + 5*l + 1 = s. Suppose 5*j + 3*x = 9, -2*x + 3 = -3*j - x. Solve -n*z + 4*z + 6 = j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:40 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4082 - 1134 = -11*k. Let y = -268 - k. Is y greater than or equal to -1\/376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -403746801*w + 405419450 wrt w?\nAnswer: -403746801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 8*l + 14. What is u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/7*(-5185)\/(-7259)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382511?\nAnswer: 382511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 3, 5*w + 91 = -5*y + 96 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**5\/120 + p**4\/12 + p**3\/2 + 7*p**2\/2 + 16*p - 3. Let t(m) be the second derivative of k(m). What is t(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 20 = 56. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3*c - 2*c - 1)*(2 - 1 + 1 + (101 - 200 - 55)*(-1 + 0 - 1))*(0 + 2 - 3).\nAnswer: -620*c + 310","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/72*(-3 + 126\/48). Which is the smallest value? (a) y (b) 1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -15.4. Let h = r + -3. Let u = h - 0.2. Sort -5, u, 0.3 in increasing order.\nAnswer: -5, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/5)*m**(1\/5)\/m*m)\/(m**(-3\/2)\/m**(-3\/5)) assuming m is positive.\nAnswer: m**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a millennium?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50710800 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4 - 81372*m**3 - 895362*m**2 + 1139468*m + 1953456 = 0?\nAnswer: -12, -1, 2, 40697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*o**3 - o**4 - 26*o**3 + 17*o - 15*o**3 to p*o**3 + i*o + v + f*o**2 + k*o**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6885 is divided by 954.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9)\/((-25)\/(-10))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 57*u**2 - 17. Let a(g) = -6283*g + g**2 + 6283*g. Determine a(s(n)).\nAnswer: 3249*n**4 - 1938*n**2 + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = -5*q + 46*x, 2*x - 4*x = 36*q - 34*q + 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 5*x - 12. Solve -o - x = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 + g**3 + 0*g**3 + (-2*g + g + 2*g)*(2*g - 2*g + 2*g**2) + 4*g**3 + g**3 - 4*g**3 to w*g**2 + z*g**3 + a*g + h and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y - 15. Suppose 0 = 2*k - 4*n - 86, 5*k - y*n + 3*n = 191. Let a = k - 30. Calculate the remainder when a is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137 - 7*a**2 - 286*a**3 - 1321*a**3 - 13*a**2 + 47 + 21 wrt a.\nAnswer: -9642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**3 + w**2 + 7*w - 5. Let d = -89 + 82. Is h(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**1)**(-2\/15)*(d\/d**(-2))**(-28))**(4\/3))**(-34) assuming d is positive.\nAnswer: d**(171904\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1405658 divided by -1.\nAnswer: 1405658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 243*b**2*c + 5*b + 2*c - 6 wrt b?\nAnswer: 486*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4 + 43*o**3 + 122*o**2 - 72*o = 0?\nAnswer: -18, -4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 3*y**3 + y + 6*y**3 - y**2. What is the units digit of h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 98844.\nAnswer: -14\/24711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7*l = 0. Find the second derivative of -6*w**4 - 4*w**2 + 4*w**2 - 7*w + l*w wrt w.\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/231 + (-29)\/(7917\/4940).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002151088 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*i - 3*i + i)*(623*i**3 + 3*i - 38 - 625*i**3 - i) as y + a*i**3 + m*i**2 + f*i + r*i**4 and give f.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 6*h**2 + 2*h + 14. Let g be t(-6). Suppose g*f = -2*f + 32. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 7*h - 16. Let b(k) = -5*k - 6. Let v be b(-3). Let c be f(v). Find the second derivative of -10*m + 9*m + 17*m + 8*m**c wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38756 is divided by 3875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 - -225. Suppose i - 4 = 5*h. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27385 is divided by 5468?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*s + 5*n, 0 = 4*s - 2*n - 85 - 67. Suppose -s = -5*x + 5*q + 25, q = 3. What is the remainder when 45 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, c: 4, r: 1, n: 4, g: 5}. Give prob of sequence lnrl.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*y - 126*y - 30 = 167*u - 163*u, 3*u + 16 = -5*y for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36900 - -4398.242936.\nAnswer: 41298.242936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -401596 times -0.2\nAnswer: 80319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01285995898 rounded to four decimal places?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588835.\nAnswer: 5, 47, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201300302 + 0?\nAnswer: 201300302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 8*o**2 + 11*o + 11. What is b(-10)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14586)\/858 + 26\/(-2 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 4, 3 in descending order.\nAnswer: 7, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37638.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 + 5660?\nAnswer: 5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/33 + 18\/11. Let t be 112\/80 - 11\/(-10)*(-352)\/308. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23407 and 0.08.\nAnswer: 1872.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, 0.3796, -5\/12 in decreasing order.\nAnswer: 168, 0.3796, -5\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 142, 307, 520, 775, 1066, 1387, 1732?\nAnswer: 2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 18 = 10*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.8 + 5. Let f = u + -0.7. Which is the biggest value? (a) f (b) -3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 - 2 = -u, 0 = -u - 2*i + 17. Let x = -3 - -3. Let v = 7 + x. What is the remainder when u is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + h - 591, -18*r + h = -17*r - 201. What is the lowest common multiple of r and 126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/6)\/(7\/(-1 - -15)). Let d(g) = 5*g**2 + 6*g + 35. Is d(k) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132000 rounded to the nearest one thousand?\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 9503, 1, -5 in increasing order.\nAnswer: -45, -5, 1, 9503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5)*5 - (sqrt(15) - (sqrt(15)*-1 - sqrt(15)))\/sqrt(3))**2 + (sqrt(2160)*-1)\/sqrt(3).\nAnswer: -12*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11609289?\nAnswer: 3, 1289921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 - 12342*o**3 - 9980364*o**2 - 2179132808*o - 2169164784 = 0.\nAnswer: -5262, -454, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.71028 times -173\nAnswer: -295.87844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 64\/3, -4, 0.5, 2, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/72 and 161\/2808?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -17*n - 233 + 30 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 29) + (328 - 386).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 3*m. Suppose 3*h + 4*g - 53 = 0, -h = -m*h - 4*g - 23. Let z = 220 + -89. What is the remainder when z is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 14*g + 9. What is r(17)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 14. Let z = -4 - p. Solve -3*t - 5*a + 40 = -0*a, -z*t + 3*a = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7*m = -3*m - 86, -3*m = g - 37. Calculate the remainder when (-4)\/g + 804\/66 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 3*l**2 + 8*l + 33. Suppose -3*i = -k - 0*i - 9, -k - 4*i + 5 = 0. Calculate q(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 1222 + 2. Calculate the remainder when 1216 is divided by p.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.1 + 17. Suppose -5*r - 2*c = 1803, -3 = 5*c - 8. Let n = 4695\/13 + r. Put 1\/3, n, x in increasing order.\nAnswer: x, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 491*o**4 + o**3 - 146*o**2 + o wrt o.\nAnswer: 11784*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2 + 2*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11076*c**3 - 37*c**2 - 108*c + 1.\nAnswer: 66456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}