diff --git "a/data/dm_maths/full_data/159_11255.jsonl" "b/data/dm_maths/full_data/159_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/159_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y = -1.5 + 0.5. Let z = 0.2185439 - -0.7814569. Let f = y + z. Round f to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*4.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(209)*6 + sqrt(209) + sqrt(209) + (-6*-1*sqrt(209) - sqrt(209)))\/(3*sqrt(33)\/sqrt(3)*-5))**2.\nAnswer: 3211\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - 0.03. Let u = 34 - 34.2. What is the nearest to z in -0.4, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 90 = -2*g, 36 = -5*g - 109*y + 108*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.7 - -9. Let f be (6\/8)\/((-510)\/80). Let m = 37 + -36.5. What is the closest to f in 3, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11423 + 11426. Let 0*c - 8*c**2 + 0 - 4*c**z - 1\/2*c**4 = 0. What is c?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 14196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136065, 272134, 408203, 544272, 680341?\nAnswer: 816410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppbpbbppbpbbpbpbbppb. What is prob of sequence bpb?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 247031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -428 - -865. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 19*i**2 - 13*i. Let r(k) = -9*k**2 + 6*k. Let h(v) = 6*l(v) + 13*r(v). Let m(u) = -4*u**2. Determine m(h(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3686 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9 - 34 + q**2 + 14 + 12. Let b = -2 + 3. Let a(f) = -3*f**2 - f - 6. Give b*a(z) + 5*r(z).\nAnswer: 2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3290 times 0.31\nAnswer: -1019.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -14 - -7) + -2 + 8 - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*5 + 3.\nAnswer: 3 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5656, 11149, 16354, 21127, 25324, 28801?\nAnswer: 31414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 335830260 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -5.6. Let o be (-3 + 0)*(0 + -1). Suppose -2*t + o = 1. Which is the nearest to t? (a) 0.1 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000097149 rounded to seven dps?\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8503 is divided by 2825?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59007 and 6035.\nAnswer: 20947485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/6 + -1)*(-4)\/(-6). Put b, -2, 0.3, -5 in increasing order.\nAnswer: -5, -2, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139882 years in months?\nAnswer: 1.678584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*s = 4*s + 6, 3*m + 11 = 4*s. Suppose -4 = 4*v - 16. Suppose u = v*u, 3*k - m*u = 180. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y + 1066. Give k(45).\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 3 = 0. Suppose -f*s + s = -6. Solve 4*w - 2 = 3*q, s*q - 2*w - 6 = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a**2 + 4*a - 1 - 6*a**2 + 3*a**2 to the form j*a**2 + f + s*a and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**5 - 225*d**4 + 925*d**3 + 21825*d**2 + 20680*d = 0.\nAnswer: -47, -8, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - (-405)\/54)\/((-15)\/(-18))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17791*n**3 - 2*n**2 - 2*n + 28491?\nAnswer: -106746*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 4. Suppose -2*x + 4*x = 12. Suppose f - o - 4*o = 13, 0 = 3*f - 4*o - x. What is r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 - 8581202*i - 3*i**2 - 734 + 2*i**2 + 8581198*i)*(1 + 3 - 3) to q*i + l*i**3 + d + v*i**2 and give d.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**5 + a**3 - a**2 + a. Let z(c) be the first derivative of -11 + c**5 + 5*c + 0*c**2 + 15\/4*c**4 - 5*c**3. Let h(y) = -5*o(y) + z(y). Factor h(m).\nAnswer: -5*(m - 1)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 4*f = -8. Suppose 0*q = q - f. Suppose -3 = q*j + j. Which is bigger: j or -7\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 11004?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 1. Let f be j(-7). Let n = f - 22. Suppose 2*a + 3*m - 103 = 5, n = -a - 4*m + 54. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -874000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10670.63165627 + 10615.6827175871. Let s = p + -0.0510616771. Let m = s - -55. What is m rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303 less than or equal to 16946\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 2*t**2 + 4*t**2)*(-3*t**3 - 3*t**3 + 5*t**3 + (2*t - t + t)*(-930 + 29*t**2 + 930)).\nAnswer: 171*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + sqrt(180) + 2*-2*sqrt(180))*-5)**2.\nAnswer: -81800 - 7200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 240 = 11*g - 11*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 - 36 = -t. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426514 to the power of 1\/2, to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.2833 litres in millilitres?\nAnswer: 299283.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2 - 12702*o + 13445067 = 0.\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 100949252 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 + 5*q + 2. Let b be t(5). Let n(g) = -g - 2. Let j be n(-4). Let c be (j - 8\/2)\/3. Sort b, c, 0.\nAnswer: c, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 133, 13, -99, -203, -299, -387, -467?\n\"Answer: 4*t**2 - 132*t + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/((-8)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193052 or -193051?\nAnswer: -193052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-140)\/16)*5\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301133 - -1130?\nAnswer: -300003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(0 + (6 - 4)). Do a and 2\/75 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1 - -1) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:05 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86155672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 921*y - 70890. Give f(77).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 206 - 69 = -y, 4*g = -12. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2656556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/12983 or 912?\nAnswer: 6\/12983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 793469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 3, -47221 in descending order.\nAnswer: 3, -2, -8, -47221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12dc0 + 9c?\nAnswer: -12d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 - 169. Let w be 1*(12 - (-1)\/(-1)). Let m = w - l. What is the highest common divisor of 10 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i + d - 91, -2*i + 41 = 5*d. Put i, -1, 1 in ascending order.\nAnswer: -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 11*k**2 - 30832*k + 2712000 = 0.\nAnswer: 1000\/11, 2712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26477*i - 26225*i + 2 - 2.\nAnswer: 252*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/6)\/(((-56)\/12)\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 5. Let v be d(0). Suppose 0 = o + v*i - 7, -3*i - 14 = -0*o - 2*o. Let m(f) = f**2 - 6*f + 1. Does 8 divide m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 19415188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28716 - 4278. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 62. Suppose 4*h = -2*x - 66, -21 = y*x - 10*x + 5*h. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 4. Let g be o(0). Let q be 1\/(-5) - 48\/(-40). Suppose -g = -s + q. Sort s, 0.2, 0.5 in decreasing order.\nAnswer: s, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 6*b**2 + 3*b + 7. Let s be p(-8). Suppose 0 = -2*u + 2*n + 58, -3*n = 3*u + 2*n - s. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-11))\/((-314160)\/9680 - (1 - 34)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112115 > -112112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -343*h**4 - 2*h**3 - 2*h**2 + 169?\nAnswer: -8232*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-1 + 6\/9). Suppose 6400 = l*i - 7*i. Round i to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mnmnnmm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k - 415. What is the remainder when 113 is divided by b(-31)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1898*v**2. Let p(l) = 22*l**2 + 9*l**2 - 57*l**2 + 23*l**2. Determine q(p(a)).\nAnswer: -17082*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180 - -202. Calculate the remainder when i is divided by (-6)\/(-9) + 0 + (-84)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -106 (b) -0.2 (c) -0.12 (d) -2 (e) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*2\/(-2)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = -p, 0 = s - 2*p + 3 - 2. Let w(c) = 13 - 4*c + s*c - 15. Determine w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35952020 divided by 33917.\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -335 or -336?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170097902.\nAnswer: 2, 13, 79, 82813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335.68 - -331. Let f = w + 4.58. Is f at least 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y - 3. Let t(c) = -7*c**3 - 12*c**2 + 14*c + 1. Let s(o) = -4*j(o) + t(o). Calculate the remainder when 466 is divided by s(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0, 1\/2, 13\/41?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 2 - 88*y + 11 - y**2 in the form o*y + m*y**2 + w and give o.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -55686*f - 517. Is d(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 0*t + 0 - 3. Give a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -445409.1509527 - -445022.4341713162. Let d = 1.2832119362 - j. Let b = d + -388. What is b rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5942 = 922. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 0, 2*v + 4*h = 28. Let m be 14\/(-49) - (-4)\/v. Solve -3*a + 1 = -5*i - m*a, -i + 3 = a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 2\/11 (c) 788\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294*h**3 - 774*h**2 wrt h.\nAnswer: 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 130 = -5*i. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*l + 1466 - 1466 to u + m*l and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -179? (a) 4\/5 (b) 1 (c) -2 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52493697*v**2 + 9283029?\nAnswer: 104987394*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 - 79. What is c rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**2 + 33*l - 13. What is z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138865 is divided by 12609?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -50. Suppose 5*f - 36 = -16. Suppose 0*u + 2*u = f*b - m, -3*u = b - 18. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (35 + -18) - (-4 + -1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.57 - -0.53. Let a = 4.44 - l. Let m = 2.3257 - a. What is m rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*i + 96 = -4*i, -12 = -4*i. Suppose 20*q - 8*q = z. What is the least common multiple of q and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234241.\nAnswer: 1234241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*y**2 + 2 - 2.\nAnswer: 153*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 799637*u**2*v + 2*u**2 - 204*u*v + 231488206*v wrt u?\nAnswer: 1599274*u*v + 4*u - 204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111464 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**3 - 2*t - 1. Let z(f) = 17*f**3 - 7*f - 2. Let b(l) = -7*m(l) + 2*z(l). Find the first derivative of b(w) wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-27)\/36)\/((-6)\/(-8)) + 902. What is the greatest common factor of z and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4 + 21*f**3 + 6352*f**2 - 12780*f = 0.\nAnswer: -71, 0, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270694891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3889.\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/35 - (-64)\/14. Let k = n + 0. Suppose 2*r + 5*q + 15 = 0, 15 = -4*r - r - k*q. Solve m = -m + 8, r = 4*x + 3*m - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 9*p + 3. Let h be i(-6). Suppose 5*c - 4*f = 92, -2*f - 35 - h = -3*c. What is the smallest common multiple of c and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 4*s**3 - s**2 + 27. Let a be i(1). Solve -2*p = -2*c + a, -2*c + 0*c = -p - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*l - 9, -4*p - 28 = 2*l - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 165, 252, 341?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -68, -1048, -1 in decreasing order.\nAnswer: 6, -1, -68, -1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -42*x**2 + x + 4. What is i(3)?\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = -8. Suppose 7*q - 2*q = 80. Suppose -q = -6*v + 4*v. Calculate the greatest common factor of y and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 126 + 12*j + 129 - 6*j**2. Let d(i) = -i**2 + 4*i + 1. Let a(m) = 7*d(m) - 2*n(m). Let g be a(3). Solve -u = g*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*g - 992, -7*g + 3*g + 4*o + 1984 = 0. Does 31 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3826 divided by -56?\nAnswer: 1913\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(243) + 0 - -2*(sqrt(243) + -1)**2) + 2.\nAnswer: -63*sqrt(3) + 490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*u + 36, 2*u - 5*s = u + 25. Suppose 3*m + 2*c + 2 = 0, 4*m - 3*m = -5*c - u. What is the nearest to m in 5, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66483.31m to millimeters.\nAnswer: 66483310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25421 (base 6) in base 8?\nAnswer: -7365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q + 46. Determine b(7).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2189, -8543, -19129, -33947, -52997?\n\"Answer: -2116*i**2 - 6*i - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3064.\nAnswer: 12256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a + 154 + 355 = 15 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545037 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6391*y**2 - 1453*y + 4. Let c(z) = 2*z**2 + z - 2. Let s(h) = -4*c(h) - l(h). What is the second derivative of s(j) wrt j?\nAnswer: -12798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2 - 27*r - 72. Give a(-20).\nAnswer: -2332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*w + 13 - 2, -2*o + 2*w = 8. Let g be 9\/o*(-10)\/15. Let c = 77 + -29. What is the greatest common divisor of g and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -29989500877?\nAnswer: -29989500877.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -389, -3, -3\/8, 17 in decreasing order.\nAnswer: 17, -3\/8, -3, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168238.\nAnswer: 2, 7, 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*f - 4*b, -2*f + 3*b - 8*b - 8 = 0. Let j(v) = -v + 9. Calculate the remainder when j(-7) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c*f**2 - c*f*h - 2*c*h - 1139*c + 159795*f - 489*h wrt f.\nAnswer: 16*c*f - c*h + 159795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1381*u - 95542 = 160*u for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/(7\/(252\/45))*-10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 + -6?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:04 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2579*b - 2582*b + 45 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -563, 34.\nAnswer: -563, -18, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 1:57 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 1. Let r(a) = 2*a**2 - 14*a - 1. Let u(i) = 7*m(i) + 2*r(i). Let t = -18 - -21. Let c(s) = 5*s**2 - 10. Determine t*c(z) - 4*u(z).\nAnswer: -z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -33945.\nAnswer: -33944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-9))\/4)\/(1\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-1)\/(-4 - 105\/(-28)). Let g = 19 + a. Calculate the remainder when 91 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -45 + 27 + 2 + -3 - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 16 - 0. Suppose -5*x + q = -2. Solve 3*s + 2*s = -5*o + 20, -x*s = 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162095?\nAnswer: 5, 17, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 10742838.407.\nAnswer: 10742845.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 87. Are r and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**8\/12096 + x**7\/5670 - x**4\/24 - 4*x**3 - 71*x**2. Let r(g) be the second derivative of w(g). Factor r(j).\nAnswer: -j**2*(5*j - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1148 + -67676?\nAnswer: -68835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 + 258*h**3 + 261*h**2 = 0 for h.\nAnswer: -1, 0, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20611, -20168, -19437, -18424, -17135, -15576, -13753, -11672?\nAnswer: -9339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-42) - 4\/(-63)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 7*p - 10. Let x be z(5). Suppose -2 = -x*l + 3*v, -3 = -5*l + 2*v - 0*v. Let d = 7.3 - 7. Which is the nearest to l? (a) -2 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4890 + 58567\/12. What is the common denominator of -123\/20 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9082 = 4*f, -n + 5*f - 1597 = 1434. What are the prime factors of n\/(-14) - 2\/14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**9\/3024 - 7*k**6\/360 - k**3\/2 + k. Let a(f) be the second derivative of o(f). Find the third derivative of a(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6938 - 6933. Which is the third biggest value? (a) h (b) -3 (c) -9 (d) -0.11 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5465*q**5 - 42*q**2 + 52*q**4 - 25*q**4 - 5471*q**5 + 15 + 24*q**3 - 18*q = 0. What is q?\nAnswer: -1, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from {x: 2, t: 2, r: 1, v: 2, u: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*s + 29 + 20 = 0, 4*s = -g + 14. Let o be ((-28)\/(-147))\/((-4)\/g). Let c = -0.5 - 1. Is c less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/80 + 46\/(-21)*(-30)\/100?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5908 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + (-19 + 36 - 10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14*1*((-3)\/2)\/(44\/(-13728)*-72)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17383 is divided by 1004.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 2*t**2 + 2*t - 3. Let q be (4 - (-1 - 0)) + 3. Suppose 6*j = 10*j - q. Let z be a(j). Solve -z = d + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1061\/2 - 519. Calculate the common denominator of p and (60\/(-30))\/((-18)\/(-55)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 57, 2065 in descending order.\nAnswer: 2065, 57, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/12 + 14591*r\/6 + 212897281\/12.\nAnswer: (r + 14591)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*q - 232*q + 62*q + 118*q as o + v*q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/12 + 6\/9. Which is greater: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - 12. Let n = 87 + w. What is the greatest common factor of 259 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12036 and 346212?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17013565307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/67*1). Suppose -4*d - 27 = -i. What is the first derivative of -10*v + d*v - 18*v**3 + 2 wrt v?\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(-6))\/(1\/(-6)). Let x = y - -12. List the prime factors of 2\/3 - 129\/x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -33*g**3 - 16*g**2 - 30*g - 6. What is the tens digit of k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -387 + 383. Let c be 8\/(-5) - 4\/10. Sort c, f, 2 in descending order.\nAnswer: 2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -388037 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*x = -94*x + 5478 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, 1, 16, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -50*b + 74. Let d be n(7). Let r = -220 - d. What is the highest common factor of 84 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12322133131 (base 4) to base 16\nAnswer: -1ba7dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*b - 5*b. Suppose -6 = -h - b. Suppose -5*x + h = -5. What is the least common multiple of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2*(-2)\/16). Suppose 7*r - 3*r - n*p = 4, r - 2*p = 0. Let y = 2 - -3. Solve y*b + 8 = z, 2*b + 10 = -r*b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4602?\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 5*s - 5*r, 5 - 43 = s + 2*r. Let j be (-116)\/s + -4 - 0. Let o = 36 - 250\/7. Sort 0.2, -1\/8, j, o in decreasing order.\nAnswer: o, 0.2, -1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4972 is divided by 262.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*k - 6 = 0, -3*p + 4 = 5*k - 7. Suppose -8 = p*h - 12. Solve 5*f + 13 = 5*c + h*f, 0 = -c + 2*f - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159 + 319\/2. Let z(w) be the first derivative of 5 - 8*w - d*w**2. What is z(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -4*n + 2*n + 5*n - 5*n + 3*n**2 - 14. Determine o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 117194.1 and -1302?\nAnswer: -152586718.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -52517*h**2. Let b(u) = u**2. Determine z(b(x)).\nAnswer: -52517*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -8, 2, 26 in descending order.\nAnswer: 26, 8, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132165 and 4033480?\nAnswer: 108903960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19003 and 76625?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1539168240 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14436 + 15916. What is the remainder when i is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from {r: 1, j: 3, o: 5, b: 8, p: 2}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 42\/5 of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -13*a**3\/3 - 79. Let m(x) = -9*x. Calculate m(j(v)).\nAnswer: 117*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - 216\/(-40). Suppose 5*v = 3*a - z*a, -v = -a + 14. Calculate the remainder when 37 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 1. Let l(r) = -4*r**2 + 18*r + 5. Determine 3*a(f) - l(f).\nAnswer: 4*f**2 - 21*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 11. Let c be n(-14). Let d be (-1)\/(-2) + c - 0. What is p in -d*p**3 + 0 - 1\/2*p**2 + p + 3*p**4 = 0?\nAnswer: -1\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-40) - 57\/(-76). What is the nearest to k in 2, -0.5, -51?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 699 + 675 = 0. Suppose -17*m + d = -11. Solve -4*s = 0, -3*o = -2*o + 2*s - m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20707 - 8617. What are the prime factors of v?\nAnswer: 2, 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1100) + 5 - (1 + sqrt(1100) + sqrt(1100) + -4))**2 + -5.\nAnswer: -160*sqrt(11) + 1159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:59 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 641 + 439. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-10))\/(5\/(-6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1295)\/(-119) - 4\/(-34). Suppose 2*g = -3*y + 158, -3*y - 10*g = -q*g - 173. Calculate the remainder when 223 is divided by y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -495 + 495.038. Let x = -23.038 + p. Let j = 0.1 - 0.4. Sort x, -2\/7, j.\nAnswer: x, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571922 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*a - 66 = 73, a = 5*n - 706. Calculate the remainder when n is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -8. Suppose -3*w - a*m = -6, -2*m = -5*w + 2*m + 10. Solve 4*j = -w - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*n + 10 = 0, 3*u + 48*n + 10 = 50*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**2*s - 10651*q*s + 7*s - 56 wrt q?\nAnswer: -2*q*s - 10651*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -384c (base 16) to base 4.\nAnswer: -3201030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5)\/z)\/z**(-1\/3)*z**(2\/5)*z\/(z\/(z*z**3)) assuming z is positive.\nAnswer: z**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 20593.81t?\nAnswer: 20593810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/(-366) - (4 + (47\/(-6) - -4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1311134.\nAnswer: 655567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and -474246.\nAnswer: 104334.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -111414 > -111416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4943160 divided by 2\nAnswer: -2471580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 3:01 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 1:36 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-7)*(-13 + 352\/33). Let w = -3.2 - -3. Sort w, z, -3\/2 in decreasing order.\nAnswer: z, w, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 714?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12999*h - 13993*h + 28018*h.\nAnswer: 1026*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 19 - 7 - 4 - 3 + 3*a. What is the tens digit of h(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35004 - -455?\nAnswer: -34438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101 - 280?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzir when four letters picked without replacement from uzrzzuzrzrurzzizrz?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80246?\nAnswer: 2, 40123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/3 + 12. Let k = 1625\/2 + -813. Which is the biggest value? (a) k (b) 2\/21 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 1 + 0*w + 1)*(3 + 7 + 2 - 5 + 2 + 2 + (3 - 1 + 0)*(-3 + 1 + 0) - 4 + 3 + 3) as c + n*w and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:36 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 7. Let r(s) = -s + 11. Let v(x) = 8*q(x) - 5*r(x). Give v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077407 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1298 - -1292. Let g(t) = -4*t**3 + 6*t**2 - 6*t + 6. Let y(u) = -11*u**3 + 17*u**2 - 17*u + 17. Calculate i*y(f) + 17*g(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1760)\/2*(-40)\/100. Let k = t + -356. Put 3, 2, -5, k in increasing order.\nAnswer: -5, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (8 - 2) + -6 + 4 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6099 - -6106. What is the greatest common factor of k and 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + a + a = -2, -4*y + 5*a = -32 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(288)\/sqrt(9)*-4 + -1).\nAnswer: -64*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519123599.\nAnswer: 149, 3484051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose -y*i - 15 = i. Let m = 65\/6 + -139\/12. Which is the fourth biggest value? (a) -0.4 (b) -1\/6 (c) m (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2877 - -5098. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 4*p**2 + 231*p - 4. Let j(y) = 8*y**3 - 17*y**2 + 925*y - 18. What is 2*j(m) - 9*u(m)?\nAnswer: -2*m**3 + 2*m**2 - 229*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 99209247 to the power of 1\/2, to the nearest integer?\nAnswer: 9960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(33)\/(sqrt(44)\/sqrt(4)))**2 + sqrt(3) - -5*(sqrt(147) + -2)**2.\nAnswer: -139*sqrt(3) + 754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 3 + m - 3*m**3 + 2*m**3 + 3*m**2. Let o be n(-3). Is (652\/8 + o)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29256, -33632, -38008?\n\"Answer: -4376*q - 24880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 103, 364, 875, 1720, 2983, 4748?\n\"Answer: 14*i**3 - i**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9 - -10) + -13)*((-2)\/(-3) + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*q - 1002 = 762 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u**3 - 3*u**2 + 7*u - 2. Let f(j) = -19*j**3 - 6*j**2 + 15*j - 4. Let g(c) = 6*f(c) - 13*q(c). What are the prime factors of g(3)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-234)\/(-54)*1*3. Let y(k) = k**3 - 4*k**2 + 9*k - 9. Let r be y(6). Calculate the highest common factor of w and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/7, -1\/7, -486, 3, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m**2 - 7*m + 14. Let s(v) = -3*v**2 + 2*v - 4. Let l(r) = 7*s(r) + 2*w(r). Let d(i) = 137*i**2. Calculate l(d(q)).\nAnswer: -18769*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 79. Let c be 1\/(-7)*1*-2. Suppose -f - 2*f + 9 = 0. What is the nearest to -2\/5 in u, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 5 = 0. Suppose -12 = -f - 7. What is the smallest common multiple of f and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3648200\/11600*(-6)\/(-34)*(-20)\/(-15)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76249, 76263, 76301, 76375, 76497, 76679, 76933?\nAnswer: 77271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + l - 7 = -10*h, 0 = 5*h - 2*l - 56. Solve s - 3*s + h = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2357 - 1999 = 198*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1495 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*c = 147, -4*z + 3*c - 2*c = -112. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 24 = 1. Let y be 5\/(c\/3) - -5. Solve -3*m - 2*q + 0 = -2, 0 = 2*m - 2*q + y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*f**2*q**2 + 2*f**2*q - 67*f*q + 7*q**2 - 7*q - 624 wrt f?\nAnswer: 144*f*q**2 + 4*f*q - 67*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + -3. Let b = -23 - v. Put -2, b, -0.4 in decreasing order.\nAnswer: -0.4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -7\/6*s**3 + 0*s**2 - 21 - 29*s - 1\/12*s**4. Let d(t) be the first derivative of n(t). Calculate d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 104*p**5\/21 + 408*p**4\/7 + 4378*p**3\/21 + 3952*p**2\/21 - 610*p\/7 - 100\/3 = 0. What is p?\nAnswer: -5, -2, -7\/26, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -89\/4. Let v = 3 - 2.6. Which is the closest to 1? (a) 1 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.3, -538, -0.06 in decreasing order.\nAnswer: -0.06, -0.3, -10, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-14)*31 + 12\/(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -345*d + 380*d + 105 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 + 1 + 3). Suppose -2*j - 58 = -w*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/324 and -25\/52434?\nAnswer: 314604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 5*a**2 - 1\/10*a**6 + 0 + 1\/70*a**7 + 3\/10*a**5 + 1\/2*a**3 + 0*a - 1\/2*a**4. Factor d(p).\nAnswer: 3*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7475538 divided by 6909.\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = o - 7, 0 = 2*o - 0*o + 2*a + 2. Calculate the lowest common multiple of (1 - (-15)\/(-1))\/(7 + -9) and o*9\/(-3)*-1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 4*d**2 + 9. Let k(w) = -w**3 - w**2 + 1. Let z(s) = s**3 - 5*s**2 + s + 8. Let c be z(4). Calculate c*k(x) + n(x).\nAnswer: 2*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3 - 2. Let n(k) = -4*k**2 + 5*k - 5. Let x(b) = -4*b**2 + 6*b - 6. Let d(c) = -6*n(c) + 5*x(c). Determine h(d(f)).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Suppose 7 = -5*p + 22. Let y(a) = -11*a + 709. Let k(v) = -6*v + 405. Let z(j) = -7*k(j) + 4*y(j). What is p*z(b) - 2*t(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 19244?\nAnswer: 3848.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 29. Let t = 98 + -59. Let s = n + t. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 6*j + 48. Let f = j - -61. Suppose -f*q + 72 = -11*q. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3337 - -3337.003462. What is p rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 1:16 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 10:00 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2, 0.3, -0.024 in ascending order.\nAnswer: -1\/5, -0.024, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 62. Suppose -n*t + 8*t = -264. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000395869 rounded to seven decimal places?\nAnswer: 0.0000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51cb433 - a?\nAnswer: -51cb43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 18*i**2 - 7*i - 27. Let l = 29 - 29. Suppose -4*z + l*r + r = 51, -2*z = 4*r + 12. Is d(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 321276462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 - (-4)\/((-12)\/(-9)). Let q = 13 + r. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -5*z**2\/2 + 3. Let b(o) = -9*o. Let c(y) = -3*b(y) + 5*h(y). Let m(t) = -t**2. Give m(c(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/60 - 9*c**4\/4 - 118*c**3\/9 - 26*c**2 + 1824*c. Factor a(x).\nAnswer: -(x + 1)*(x + 2)*(x + 78)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3216*n*t*u**3*z - n*t*z + 17*n*u**3*z + 2824*n*u**2 + 2*n*u*z - 10*t*u**3 + 2*t*u**2 - 2*t*z - 43*u**2*z - 3*u*z wrt u?\nAnswer: 19296*n*t*z + 102*n*z - 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -3 - (8 + -6)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from llzlzllllzzzzzzlzzl.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c - 64*c + 45 = 0. Suppose 5*p - c*d - 45 = 0, 2*d + 2 = d. Solve 5*k + p - 27 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 3. Let q be r(-3). Let j be q\/(-6)*-2 + 8. What are the prime factors of -5 + j - (-1 + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:04 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58614 = 3*l - 3*z, 75*l - 78*l - 5*z = -58598. Calculate the highest common divisor of l and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 51 + 7*u - 2*u + 50.\nAnswer: 5*u - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(65 - 76).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + (-2588)\/(-6). Let y = 1330\/3 - s. Let c = 18483\/11 + -1679. Find the common denominator of c and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 19\/3, -1, 23, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17771320 rounded to the nearest 10000?\nAnswer: -17770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -19306\nAnswer: 6\/9653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -506*z + 8 - 2*z - 10 + 45*z as u + t*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4963 is divided by 53.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/11)\/(t**(-4\/15)*t)*(t\/t**(-5)*t)\/(t\/(t**(-4)*t)) assuming t is positive.\nAnswer: t**(344\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6916420*p + 6916655*p + 3525 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 1678*y + 5. Let v(h) = -h**2 - 3*h - 1. Give c(w) + 4*v(w).\nAnswer: -2*w**2 - 1690*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/((-115)\/414) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30404?\nAnswer: 2, 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2. Let x(j) = -13*j. Let b(d) = -4*d. Suppose -3*m + 21 = -6*m. Let i(v) = m*b(v) + 2*x(v). What is i(z(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 = -2*x. Let p(w) = 2*w + 2*w**2 + 7*w**3 - w + 2*w**2 - 8*w**3. Let z(a) = -a**3 + 4*a**2. Let c(g) = 2*p(g) - 3*z(g). What is c(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 3*q**2 + 6*q - 6. Let s be i(4). Suppose 1 = n - 2. Let r(b) = -3*b**s + b**n - 65*b - 2*b**2 + 58*b + 2. Determine r(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:23 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.75 and -659022?\nAnswer: 659022.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - -2 - -3) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 - 2 = 0. Let o(w) = -84*w + 189. Let l(t) = 5*t - 11. Let q(v) = 35*l(v) + 2*o(v). Let h(z) = z. Let u(n) = p*h(n) + q(n). What is u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2615067, 2615061, 2615051, 2615037?\n\"Answer: -2*j**2 + 2615069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 82212 = 4*k, k = 278*h - 279*h + 20550. Which is greater: k or 20555?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 15. Let o be r(-6). Suppose 30 = -o*n - 0*n. Let g be ((-24)\/(-150))\/(4\/n). Is g smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25224 take away 0.09?\nAnswer: -25224.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -231. Let q = g + 63. List the prime factors of q.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 - 139*n - 7. Let d(b) = 3*b. Give d(z(q)).\nAnswer: -18*q**2 - 417*q - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -12. Let q be (-3)\/(-2)*(-64)\/d. Let c(p) = -p + 4. Let t(f) = 2*f - 11. What is q*c(h) + 3*t(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -7. Suppose -5*z + 16 = -4*z. What is the lowest common multiple of z and i?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51052, 100201, 149350, 198499, 247648?\n\"Answer: 49149*f + 1903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 25*a - 6*a. Solve -q + y = -2, -4*q - 3*y = -a*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g + 3. Let d(x) = -16*x**2 - 24*x + 72. Let k(b) = 4*d(b) - 96*l(b). Let t(m) be the third derivative of m**4\/12 + m**2. Calculate t(k(f)).\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 14*r + 24. Let o be i(-5). Suppose -z + 2*z - 20 = -o*p, 2*z - 45 = -3*p. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -14. Let w = -0.6 - 0.4. What is the smallest value in k, -2, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 8 + 30*h - 10)*(-5*h**3 - 2*h**3 + 0*h**3).\nAnswer: -210*h**4 + 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:44 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1251 - 1251.1. Which is the third biggest value? (a) -9 (b) -0.04 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + r)*(r**2 - 2*r**2 + 2*r**2) + (2*r**2 + 6*r**2 - 3*r**2)*(-63 - 4*r + 60 + 3*r).\nAnswer: -4*r**3 - 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -508, -1011, -1508, -1999, -2484, -2963?\n\"Answer: 3*x**2 - 512*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.34 and -40832.\nAnswer: -40831.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, b: 3, l: 1}. What is prob of picking 1 l and 3 i?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = -p - 24771. What are the prime factors of p?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o = -268. Let g = 672\/5 - o. Which is the second biggest value? (a) g (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6294 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m\/m**23)\/m))**(-23))**(7\/2) assuming m is positive.\nAnswer: m**(-3703\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-921.47.\nAnswer: -73.7176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (9 + -2 + -1 - (4 - (0 + -5)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysy when three letters picked without replacement from ssyssys.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:23 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -7 - (-4 - 4)) + 2. Solve -v = -2*h + 5*j, 0 = 2*j + 3*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 164*m**2 + 23800*m + 2900 = 0?\nAnswer: -145, -5\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113220132 - -1010?\nAnswer: 113221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3, 4125, 5, 7 in decreasing order.\nAnswer: 4125, 7, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/17 + 51248*x**3\/17 + 327525068*x**2\/17 - 9860371440*x\/17 + 74039368050\/17 = 0.\nAnswer: -12827, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 17. Let j = v + -10. Let i(f) = 12*f - 11. Is i(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1572372 + -1971754603\/1254. What is the common denominator of -55\/21 and m?\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*l - 1137 = 861 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -343, -535, -727, -919?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-15) + 12\/5. Suppose 10*i - 6*i = 40. What is the third derivative of 2*n**2 - i*n**2 - 3*n**3 + 3*n**2 + 0*n**l wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 99, 341, 815, 1599, 2771, 4409?\nAnswer: 6591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -12. Let i = 10 - t. Let x = i - -9.00098. Round x to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12100110111222 (base 3) to base 15.\nAnswer: -3b27a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1766019, 3532038, 5298057, 7064076, 8830095, 10596114?\nAnswer: 12362133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**2 - h**2 - 6*h**2 + (h + 0 + 0)*(8*h - 2*h - 3*h) + 2*h**2 - 2*h**2 - 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10804 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + -3.5. Let r = -47 - -51.4. Let z = r + m. Which is the biggest value? (a) z (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 11*r - 12. Let g be i(-10). Let v(y) = y**2 - 2*y + 2. Let s be v(g). Let j be (-1)\/5 + 22\/s. Solve n + 2 = -4*a - 0*n, -2*n + j = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 52*n - 677. Let x be w(14). Suppose -4*j + 288 = -4*a, 2*j = 3*a - 2*a + 140. Let c = x + j. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 27*o - 1079. Let u be p(40). Sort u, -0.3, -28 in decreasing order.\nAnswer: u, -0.3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(5000))\/(sqrt(10) - (sqrt(10) - sqrt(40)\/sqrt(64)) - sqrt(10)))**2.\nAnswer: 32000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/79 (b) -5 (c) 25 (d) 4 (e) 0 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -36\/5, 1, 7\/2 in decreasing order.\nAnswer: 7\/2, 2, 1, -2, -36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308.5955us to seconds.\nAnswer: 0.0003085955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15212 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x**3 - x**2 + 3*x + 3. Let h be r(3). Let v be (5\/15)\/((-2)\/h). Do 31 and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 182 = -27*b + 367 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 733316.\nAnswer: -33\/366658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3\/4 + 211644*g**2 - 14931060912*g = 0 for g.\nAnswer: 0, 141096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 2102?\nAnswer: -2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 + 2643.498?\nAnswer: 2640.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240)\/sqrt(4))\/((sqrt(320) - (sqrt(320) + -1*sqrt(320))) + sqrt(320)))\/((sqrt(60)\/sqrt(3))\/sqrt(5) + sqrt(4) + sqrt(36) + sqrt(216)\/sqrt(6)).\nAnswer: sqrt(3)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Suppose 3*k - k = -j, 0 = -3*j - 4*k + 6. Let p(h) = h**2 - 6*h + 1. Let w be p(j). Which is the closest to w? (a) 4 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 432*g - 432*g.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t + 461 - 461. Let s(p) = 4*p**2. What is s(u(x))?\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2 = 3*t, -4*w - 8 = -0*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 92. Let d be g(-28). Suppose i - 151 = -3*h, 5*i + 13*h = d*h + 785. What is the least common multiple of 14 and i?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 - -25183.04?\nAnswer: 25186.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w + 2*w**2 + 21*w + 0*w.\nAnswer: 2*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*g + 141*g + 140*g - 734*g + 151*g + 148*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4747217\/(-4) + -4)\/((-9)\/24). Suppose 15*y = q + 1455178. Round y to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**21 assuming t is positive.\nAnswer: t**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -1. Suppose 4*h + r + 10 = -5*q, 0 = q - h + 3. Let z be q*2 + 3 + 133. What is the highest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 23184320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147703 - -30928. Let v = -118076.61 - g. Let d = v - -1308. Round d to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m + w + 3*w, 0 = 3*m + 3*w. Let x = -6 + 14. Suppose 4*o - u = u - x, -3*o - 7 = -u. Does m = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 31\/(-2) - 1\/(-2). Solve 4*v - 20 = s + 2*s, 3*v - l = -5*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + -5)**2 + sqrt(11) + -1 + (2*sqrt(11) - sqrt(11)) - sqrt(539)*1*1.\nAnswer: -25*sqrt(11) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 20*v + 40. Let t be g(-1). What is the highest common factor of 68 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5069988 and 5018776?\nAnswer: 496858824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + s - 2. Let l(x) = x**2 + 47*x - 53. Let w(t) = -f(t) - l(t). Let h be w(-25). Solve 0*o + h*o = 2*z - 15, 4*o = -20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445 + 445 + 28*a.\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*u - 14 - 22, 4*u = -8. Let l be c - ((-2 - 1) + 0). Sort l, -1, -5.\nAnswer: -5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 3. Let l be (-3)\/9 - (-10)\/3. Let g be s(l). Let i be (-1368)\/(-2214) + 4\/(-6). Which is greater: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.469 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -897, -1007, -1119, -1233, -1349, -1467, -1587?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 + 1633\/5. Let p = 2 - k. Let z = 0 + 0. Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -15. Let c = 9.0000014 - a. Round c to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16 + 5*u**2 + 27*u - 27*u wrt u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 7*p**2 - 8*p - 2. Suppose -3*t = -5*m - 33, 7*m - 5*m - 3*t = -15. Determine w(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 68 + -1 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - w**2 + 2*w**3 + (2*w**2 + 0 + 0)*(w - w + w))*(w + 2*w + 2*w) to h*w + i*w**4 + m + r*w**3 + u*w**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -197 + 785. Let v = 3812\/13 + m. Is v greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + v**2 - 2*v + 5*v - v**3 + 0*v. Let g(a) = 4*a**3 - 2*a**2 - 2*a - 6. Let k(z) = -g(z) - 2*j(z). What is the first derivative of k(s) wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581777941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 56*t**2 + 641*t - 37. Is 3 a factor of a(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmqm. Give prob of picking 1 m and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-8)*176\/33. Let x be ((-52)\/s - -3)\/1. What is the third smallest value in -0.1, x, -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/3 - 65*z**4\/3 - 317*z**3 - 1593*z**2 - 3474*z - 2808.\nAnswer: (z - 78)*(z + 3)**3*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*u + 94*u + 223*u**2)*(1 - 5 + 2).\nAnswer: -446*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c - 56*c - 234*c - c - c - c + (-1 + 2 + 1)*(2*c - 2*c - c))*(c**2 - 3*c**2 + 0*c**2).\nAnswer: 564*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 111, -74, -549, -1410, -2753, -4674?\nAnswer: -7269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**4 - o**3 - o. Let n(x) = 3*x**3 - x. Let q(h) = -n(h) - 3*t(h). Find the second derivative of q(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 90*p**2 - 49*p - 28. Is q(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 1\/1772, 0.06, 21\/4, 2\/13, -0.3?\nAnswer: 1\/1772","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 3)*(-2*h + 7*h - 3*h) - 4 - 472*h - 468*h + 946*h)*(-3*h + 0 + 0).\nAnswer: -24*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejetboeetjjteetto. What is prob of picking 1 e and 1 j?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, f: 3}. Give prob of picking 2 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 77) + (9 - -1 - 9 - -20)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52ad7 (base 15) to base 12.\nAnswer: -107987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, j: 13}. Give prob of picking 4 j.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -46 - 26 + 2*j**2 + 72. Let l(u) = -u**2 + 1088. What is l(h(o))?\nAnswer: -4*o**4 + 1088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6126 + -122483\/20. Find the common denominator of u and 15\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - -28 - (-24 - (3 - 19)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - (-31 + 24 + 18 - (2 - 2))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 619, 568, 521, 478, 439, 404, 373?\n\"Answer: 2*v**2 - 57*v + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 30. What is the highest common factor of m and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -4*b**5 - 74*b**4 + 240*b**3 - 236*b**2 + 68*b - 4124. What is n in q(n) = 0?\nAnswer: -17, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 - -5.34. Let x = -11.95 - -12. What is the closest to -1 in o, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 3, -0.3, -8.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70563859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 - 1971*h**2\/2 + 27643*h\/2 - 290423\/6.\nAnswer: -(h - 7)**2*(h + 5927)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2175 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 5*b**2 - 3*b**2 - 409*b - 400*b in the form j*b**2 + w + f*b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 448?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a. Let o(h) = h**2 + 4*h - 53. Let x be o(6). Let q(i) = -6 - 16 - 2*i**2 + x. What is l(q(f))?\nAnswer: -6*f**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3645 + -2?\nAnswer: 3643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 11*x + 5. Let h be l(11). Suppose 4*f = -f + h. Let z be f*(-1 - -5) + -8. What is the closest to -0.1 in -2, z, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iff when three letters picked without replacement from cyfiwgfy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85\/14182 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (21 + (1 - 44)) - (1 - -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 5840?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37150 is divided by 203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/6 + 51*g**4\/2 + 5192*g**3\/3 + 28306*g**2\/3 - 848*g - 150880\/3 = 0. What is g?\nAnswer: -46, -4, 2, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7)**(-29) assuming l is positive.\nAnswer: l**(-203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -5*h**4\/3 - 3*h**3 - 19*h + 18. Let u(q) be the first derivative of k(q). Find the second derivative of u(b) wrt b.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 0*q + 0*q + (-3*q**3 + 2*q**3 - 2*q**3)*(-3*q - 3*q + 5*q) + (-11409 - 327*q + 11409)*(-q**3 + 2*q**3 + q**3).\nAnswer: -650*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -155. Solve -16 = -4*x - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017177611 rounded to 7 dps?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 12*w = -20. Solve -4*r - w*r + 14 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 318?\nAnswer: 31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17*x**2 - 2. Let g(b) = b**2 + 1007*b - 3. Calculate g(c(q)).\nAnswer: 289*q**4 - 17051*q**2 - 2013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -31 - ((13 - 6) + 10 - -8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 4*c + 6. Suppose 0*z = 3*z - 39. Let a(f) = 4*f**2 + 9*f - 13. What is z*s(n) + 6*a(n)?\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7413 is divided by 1215.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 139 = 5*y - 5*j, 3*y - 106 = -2*j. Is 9527\/13 + y\/234 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 - -233. Let a(d) be the first derivative of -2\/15*d**3 + 6\/25*d**5 - 2\/5*d**4 + 2\/5*d**b + 0*d + 5. Factor a(k).\nAnswer: 2*k*(k - 1)**2*(3*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -27*g. Let w(q) = -2*q - 3. Let k(o) = -4*o - 7. Suppose -5*l + 130 - 145 = 0. Let h(c) = l*k(c) + 7*w(c). What is y(h(x))?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 1. Let i(t) = t**2 - 14*t - 35. Let o(q) = -i(q) - 2*m(q). Let f be o(-11). Let k(d) = d + 7. Let b be k(-6). Solve 2*h + 7 + b = f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 407\/4 - 2913\/28. Let y = 4 - -1. Let h = y + -6. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbnbdildnkkd. What is prob of picking 1 d and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 + 10 - 55 - 193)*(-4 + 4 + m) as y + f*m and give f.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 21. Does 7 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 + 21*o + 2. Let w be d(-1). Put w, 2, 5 in decreasing order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7bb - 11a?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184244, -184208, -184174, -184142, -184112, -184084, -184058?\nAnswer: -184034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by -6.\nAnswer: 121\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8760 = -118*h + 121*h. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 855?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (4 + sqrt(891) - sqrt(891)))**2 + sqrt(110)\/sqrt(10)*-5.\nAnswer: 67*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 112830640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -733*m. Let u(r) = 5*r**2 + 14. Calculate i(u(w)).\nAnswer: -3665*w**2 - 10262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10841*r = 10856*r + 30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*x - 4*r, 0 = -4*x + r + 2*r + 203. Let u = -34 + x. What is the remainder when 2\/(-5) + 384\/10 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -93*p**2 + 31291*p - 14430. Give n(336).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 + 34.6. Let x = -239.6 + 280. Let g = x - u. Which is the smallest value? (a) -3\/4 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxbbxxxbbbbbbbxxbx. Give prob of picking 2 b and 2 x.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -231, -341, -451, -561, -671?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.221, 2, -1\/2 in decreasing order.\nAnswer: 2, -0.221, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -95*j**2. Let d(m) = -208*m**2 - 208*m**2 + 417*m**2. Calculate i(d(n)).\nAnswer: -95*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*n - 27 = 0, 2*n = -4*z + 2*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -435270 to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - g + 13 = 29, q + 3*q + 67 = 8*q - 3*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 416, -3 in ascending order.\nAnswer: -5, -3, 0, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16 + (-10)\/24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 3 + 3)\/(100\/30).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 27. Let w = m - 3. Let t be w\/(-9)*18\/(-16). What is the biggest value in t, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 3*j - 6. Let k be s(5). Suppose 3*q - 134 = k. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8876 times 13.57\nAnswer: 120447.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10132232 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 square root of 3040809661 to the nearest integer?\nAnswer: 55144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -b26a66?\nAnswer: -b26a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 23*t = -8. Differentiate 11*b**2 - 18 + 5 - 11 - 2*b**t with respect to b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524771.\nAnswer: 13, 37, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:32 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/12*(-15)\/6*(-7)\/245.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -134. Let g = v + -66. Let h = -2.9962 - g. What is h rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -5 - (1 - 22*1). Suppose -h = 2*d - 8*d. Which is greater: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 554\/8 - 6\/(-8). Which is smaller: i or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 - 27631*h**3 + 30057819*h**2 - 8342938989*h = 0. Calculate h.\nAnswer: 0, 561, 26509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 7:48 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Solve a*k + 3*n - 5 - 13 = 0, 0 = n - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/21, 0.4.\nAnswer: -4, 1\/21, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.76342529 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2 - -5) + -4)*0. Suppose i = -7*p + 11*p. Put 1, p, -7, -1 in ascending order.\nAnswer: -7, -1, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30836, -123396, -277662, -493634, -771312?\n\"Answer: -30853*y**2 - y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from xwwzx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 3892?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 14*c - 26. Let r be d(-7). Solve 4 - 19 = -g - 3*m, g - r = -5*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/21 (b) -0.36 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**4 + 4*s**4 - s**4 + (4*s**3 + 0*s**3 + 0*s**3)*(4*s + 0*s - 2*s))*(16 + 3 - 7)*(5 - 1 - 2)*(-6 + 3 + 2).\nAnswer: -168*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-64)\/(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -154. Suppose -3*l + n = -0*l. Calculate the greatest common factor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-42)\/882*162\/(-14)*(-5)\/10.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 123, 106, 69, 6, -89, -222?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 2*a + 0*a + 2 - a**3 + 3 + 459*a**4 + 5 to the form h*a**3 + c*a + i*a**2 + u + g*a**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63.48 + -63.88. What is the nearest to -3 in -2, 2\/5, t, -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558 - 7*w**3 - 272 - 286 + 2*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2 (b) -8 (c) 0.5 (d) 2\/13 (e) 507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6448.211317735 and -0.8.\nAnswer: 6447.411317735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2064*d - 8*d**2 - 4*d**2 - 2062*d.\nAnswer: -12*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1012, -1037, -1080, -1147, -1244?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -537, -916, -1189, -1356, -1417, -1372?\n\"Answer: 53*v**2 - 538*v - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 3 (b) -6\/49 (c) 2 (d) 0.4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 22527, -80?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*1)\/(1\/(-2)). Find the third derivative of -5*d**r + d**2 + 3*d**3 + d**2 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35472 divided by -24?\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = -48. Let o(k) = -3*k + 24. Let h be o(2). Let n = r + h. Calculate the highest common factor of 8 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4940959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243*s**2 + 71*s**2 + 275*s**2)*(2*s**2 - 3*s**2 + 2*s**2 + 1).\nAnswer: 589*s**4 + 589*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = b - 4, -3*b - 4*q = -13. Suppose -j - b*j - 688 = 0. Is (-3)\/(-5) - j\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 + -19 - (4 - 13). Which is the closest to -1? (a) 1 (b) -2 (c) y (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4\/4 - b**3\/6 + 8*b**2. What is the units digit of j(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19901\/36 - 2219\/4. Calculate the common denominator of r and 14\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v - 1. Which is the biggest value? (a) v (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47686?\nAnswer: 2, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + r + 2*r)*(641*r + 29*r - 33*r).\nAnswer: 4459*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31446 + -17763. Let m be (-2)\/(-3) + 3 + b\/9. What is m rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Find the third derivative of k**6 - 5*k**4 + 5*k**4 + 277*k**a - 264*k**2 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17998 less than -0.06572?\nAnswer: -17998.06572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - (11 - -39)) + -17.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Suppose -3*j + 4*k + 37 = -19, 75 = 5*j - 3*k. Let w be (-1 + 8\/6)*j. Let d(n) = -4*n + 4*n + w*n - 3*n. What is d(o(g))?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 247 - 247.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21839*b**3 + 6303*b**2 - 2?\nAnswer: 131034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*(f**(-9)*f)\/f*f*f**(-30)*f**(1\/4)*f*f**(-41)*f*f assuming f is positive.\nAnswer: f**(-295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1111, -2208, -3305, -4402, -5499, -6596?\nAnswer: -7693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 4:52 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, -4, -17, 2 in ascending order.\nAnswer: -17, -15, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -7.3343.\nAnswer: -7.8343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37760 plus 10?\nAnswer: -37750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 6*j. Let y(h) = -6*h**3 - h**2 - h - 1. Let i be y(-1). Let z be q(i). Suppose -p - p = -z. Is 25 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 12*a**2 - 190*a - 872. What is k(-7)?\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -12*(-3)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376529159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87\/5 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219980201 to the nearest integer?\nAnswer: 14832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 2*b + 3. Let w be s(3). Let u be 68\/w - (-4)\/(-18). Let j(t) = t**3 + 6*t**2 + 5*t + 4. Does 7 divide j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 632 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 d when four letters picked without replacement from ddddyydyyd.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 10*u - 27 + (-1 + 1 - 2*u)*(4 - 2 - 1))*(-3 + u + 3) to the form p + m*u + a*u**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3+3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1 - 2*h**2 + 5*h**3 + 2*h - h + 0*h - 6*h**3. Calculate n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {t: 1, m: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*u + 3*m, 143*u - 5*m - 50 = 138*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d + 5 = -43*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u + 0*u + 2*u. Let o be n(1). Let h = -8 + 3. Is h equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 92 in -221.63, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 22*v + 12*v + 18 = -7*v, -6*v = -18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 597 and 201189.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -2\/17, -37, -10\/9, -27?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-357))\/((-3)\/(-9))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -17. Let i = l - -7. Which is greater: i or -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*y - y**2 + 4*y**4 + 1 - 3*y**2 + y**4 - 26*y to q*y + u*y**2 + j + o*y**4 + t*y**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 116*d**2 + 2527*d - 720. Calculate b(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3412\/7 - -487. Let p = -2 + 5. Sort n, -0.4, p in ascending order.\nAnswer: n, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -386212*v. Let b(n) = 4*n. Calculate b(d(x)).\nAnswer: -1544848*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + 0.060022. What is r rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (71 + -69)*(-1 + 10\/8). Let x be 6\/9 - 20\/(-6). What is the closest to w in 0.3, x, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) 3 (c) 11 (d) 4\/3 (e) -0.3 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*f - 25. Suppose -g = 3*a + 2*a + 9, f = 2*g + a. Suppose 0 = -2*d + d + 121. Calculate the highest common factor of d and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 243*z**2 - 335*z + 22502. Calculate f(242).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmm when four letters picked without replacement from imiibmiimiiimmimmmi?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 = -4*b + 24, -4*g = -2*b - 22. Let u = 36 - 1. Calculate the greatest common factor of g and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34808742, 69617482, 104426222, 139234962?\n\"Answer: 34808740*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.823414 seconds?\nAnswer: 8823.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f + 30. Let y(t) = 21*t**3 - t**2 + 1. Let s be y(1). Let p be (35\/s)\/((-2)\/6). Let d be j(p). Solve -d = -5*x - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*o**3*q**2 + 47582*o*q + 36*q**2 + 4*q - 9594 with respect to o.\nAnswer: -69*o**2*q**2 + 47582*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2610 + 2616. Solve -5*k - v*n - 5 + 2 = 0, 2*n = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 2. Let b be s(-6). Suppose 5*l + 13 = -b. Put l, -5, -3 in ascending order.\nAnswer: l, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-1 - -2) - (-37 - -75 - 41)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -13 - 6. Does 4 divide -1 - (o + (-1 - -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 29. Calculate the remainder when r is divided by (-924)\/(-198) - 16\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1)*3\/1. Let w(p) = -388*p + 386*p - p**3 - 4 - 2*p**2 + 0*p**3. Let d be w(y). Solve -2 = -2*k - 3*h - 20, -d = 5*k - h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -568780 (base 11) to base 6.\nAnswer: -31220204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n + 2*n + 8 - 3 + n. Let j(z) be the third derivative of z**3\/6 - 134*z**2. Calculate -4*j(l) + q(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7488 by 3.\nAnswer: -2496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 60 = 0. Suppose 8 + 3 = -u. Let t = u + s. Solve x - 4 = w, -t*w - 24 = 5*x - x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + -10 + -3 + 4 + 34*84\/357?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7*t + 0*t = 0. Let m be (-1)\/(-4 - (-4)\/2). Which is the nearest to t? (a) -4 (b) 5\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*t\/(t\/(t\/(t**0\/t))))\/t)\/(t*t\/t**(-5)*t))\/(t**(2\/9)*t*(t**(-2\/3)*t*t)\/t))**(-30) assuming t is positive.\nAnswer: t**(590\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2)\/5)\/(((-3312)\/(-60))\/(-12))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8240 in 0.25, -7, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86604*o**4*r**3 + 30611*r**3 - 2 wrt o?\nAnswer: -346416*o**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d - 8 = -v, -5*d - v - 22 = 0. Let t(g) = g**3 + 6*g**2 + 10. What is the tens digit of t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 1)*(-4*f + 2*f + 3*f - 3).\nAnswer: 6*f - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, 7, 0.103 in descending order.\nAnswer: 7, 3, 0.103, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -254824 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 1. Let k(h) = -8*h + 10*h + 2*h + h. Determine -2*k(f) - 3*z(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*r + 16 = r, -3*r = -3. Suppose 2*p - d*p = 6*p. Let m be ((-60)\/(-9) + p)*12\/10. Solve -3*u + m*u = -10, -4*w = -5*u - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 135324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/15 - 4)\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/4*2 - (-8 - 134)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48861681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = -c + 29*f - 14, 3*c - 39 = 3*f. Solve -c*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128356 * 421.\nAnswer: 54037876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14858 is divided by 481?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-11\/8))**(-1\/47)\/(u\/u**(4\/11)*u)**41)**(-3\/47) assuming u is positive.\nAnswer: u**(832101\/194392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3878284ng in kilograms?\nAnswer: 0.0000000000003878284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 285219 - -847091. What is f rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/6)\/((-10)\/16*4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:05 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/(120\/292)*-3 and -77\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 136\/36 + 4\/18. Let o = n - 0. Solve -o*z + 5*i = -14, -2 = 4*z - 3*i - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b + 2 + 4*b + 0 + 22*b wrt b?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 139258.\nAnswer: -835548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(-401 + 415 - 264)*(4*q - 3*q + 0*q) to the form x + z*q and give z.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**4\/2 + 2*y**3\/3 - y**2 + y - 6. Let s be a(1). Suppose s*g - 95002 = 5*b + 2*g, 4 = 2*g. Round b to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2, -3, 2, 23, -4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xae when three letters picked without replacement from eaxjssn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*u**3 + 239*u**3 - 2034 + u**2 + 483*u**3 + u**4 + 10796 wrt u.\nAnswer: 4*u**3 + 1953*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2369047?\nAnswer: -2369043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 1 + (-4 - -15). Solve -4*b + 2 = a - x*b, -5*b = 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 113 = b - 157. Solve -b*c = -4*x - 3*c, -3*c = -12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 427, 406, 391, 388, 403, 442, 511?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -133 and -10489\/79 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1134141 and 77100?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h + 5, 2*c = h + 23. Is c not equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 5*p + 27. Calculate the lowest common multiple of p and 148.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 9*l**2 - l**2 + 8*l**2. Let v(o) = -17*o**2 - 3*o - 3. Let k(p) = 68*p**2 + 13*p + 13. Let r(z) = -6*k(z) - 26*v(z). Give r(u(y)).\nAnswer: 34*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/9 - 84\/(-378). Solve -z = z + g, 0 = 4*n - 2*z + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -56.714998.\nAnswer: -11.3429996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 54, 32, 12, 0, 2, 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 3*m - 8. Let j be o(6). Let r be 1 + 1 - (0 + j). Suppose 0 = 3*k - 131 - r. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 14841 = -22*q. What is the highest common divisor of 5917 and q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6665*g**2 - 4906*g wrt g.\nAnswer: -13330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/4 - 1533*b**2\/4 - 196605*b\/4 - 195075\/4.\nAnswer: -3*(b + 1)*(b + 255)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -16, -51, -122, -241, -420, -671, -1006?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -57.\nAnswer: -57, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29860126?\nAnswer: 2, 17, 878239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*6 - 4. Solve 26*j - 25*j = m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41*2 - (-18 + 15). Suppose -f + 4*p = -k, 2*p - 81 - 10 = -f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 75. Let z(o) be the first derivative of -3*o**2\/2 + 48*o + 19. Let u be z(11). What is the greatest common factor of i and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 153*q + 1. Let y be w(1). Suppose 0 = -22*b + 24*b - 28. Calculate the greatest common divisor of y and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*a + 13381 = -27799, -p - 2*a + 13745 = 0. Let y = p - 9602. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 - 1076*h + 11352 = 0. Calculate h.\nAnswer: 11, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 7. What is the third derivative of 5*h**2 + h**w - 5*h**2 - 4*h**2 + 7*h**2 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2 (c) 2\/3 (d) 0 (e) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1818 = 3*i - 211, -5 = u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*o - 30 = 95*o. Calculate the greatest common divisor of o and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 - 4*a**2 - 7*a**2 - 4*a**2 + 3*a**2. Let i(c) be the second derivative of c**4\/2 + 188*c. What is i(s(w))?\nAnswer: 1350*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47518582?\nAnswer: 2, 19, 37, 33797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 4 (c) -8 (d) 154\/17 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 342.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -487 + 779. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -803*b**2*y**3 - 30*b**2*y**2 + 151*b**2 + 56*b wrt y.\nAnswer: -2409*b**2*y**2 - 60*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 - 278*x**3\/5 + 822*x**2\/5 - 818*x\/5 + 272\/5.\nAnswer: 2*(x - 136)*(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32045, 128158, 288361, 512666, 801085, 1153630, 1570313?\n\"Answer: 2*d**3 + 32033*d**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 - -81. Let j be m + 210\/(-20)*(-2)\/3. Suppose 25 = j*f, -4*l + f + 162 = -181. Calculate the highest common divisor of l and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 287357548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 1. Let d(y) be the third derivative of y**4\/24 + y**3\/2 + 5*y**2. Let l(j) = d(j) - 2*g(j). Find the first derivative of l(i) wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 17*g + g**3 + g**2 - 4 - 17*g. Let u be p(0). Is -5 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 30*m - 12. Let s be b(14). Let g = 17 - s. What is the smallest common multiple of 41 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21a396 (base 14) to base 13.\nAnswer: 30cb95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-6998)\/(-12) + 2). Let h = -1802 - a. Calculate the common denominator of h and (-3)\/((-18)\/(-119)) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 0, -5*b + t - 57 = 23. Let h = -13 - b. Suppose 0 = h*r - 87 - 48. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 6*k - 9. Let x be d(-8). Let u(f) = -f**3 + 9*f**2 - 6*f - 2. List the prime factors of u(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p**3 + 26*p**2. Let v(d) = 12*d**3 + 25*d**2. Let c(s) = -5*v(s) + 6*w(s). What is the third derivative of c(o) wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880089 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 985, 986, 987, 988, 989, 990?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-16)\/(175\/(-55) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 10)*(35\/(-60) + 1\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*w = 15, -w - 2 = 3*v + 1. Suppose 4*k + 106 = n, 5*k + v*k + 380 = 4*n. Let c = n + -452\/5. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -j - 72. Let q(w) = 69*w**2 + 1. Let p be q(-1). What is the highest common divisor of p and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 9.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 363.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.999 + 27.236698?\nAnswer: 26.237698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, u: 1, t: 10}. Give prob of sequence bu.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) - (sqrt(33) + (sqrt(33) + sqrt(33)*-2)*-4))\/(sqrt(300)*2))**2 + (sqrt(88)\/sqrt(4)*-5)\/(1*sqrt(18)))*-5.\nAnswer: -11\/5 + 25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5308753943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6226 and 566.\nAnswer: 6226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 15. Let x(q) be the third derivative of -q**6\/120 - q**5\/10 + q**4\/24 + 7*q**3\/6 + 14*q**2. Calculate x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2489400 to the nearest ten thousand.\nAnswer: 2490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*u**2 - u - 3*u**4 + 5*u**4 - 14*u**2 - 3*u**3 + 2*u + 2 to the form d + c*u**3 + s*u + q*u**2 + o*u**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 15 + z**2 + z**4 + 4*z - 7 to the form r*z + s*z**3 + w*z**4 + o + p*z**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -16174841.\nAnswer: 3\/16174841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/42)\/((-14)\/(-36)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -59, 324 in descending order.\nAnswer: 324, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*f - 15 = 0, 2*v + 5*f - 21 + 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -8\/23, -1\/24, -651?\nAnswer: -651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2 - 2 + 4*o**3 + 3 - 3*o**3 - o**2. Let j be r(3). Factor -10*t + j - 2*t**2 - 20*t - 71 + 10*t.\nAnswer: -2*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 349*x + 7011. Determine i(26).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(4)\/sqrt(2)*4)**2.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/8 and (-550)\/20*2\/(-150).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -113206, -226441, -339708, -453007, -566338, -679701?\n\"Answer: -16*o**2 - 113187*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 6:51 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 613 - 333 = 52*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/10)\/((-2)\/10). What is the units digit of 1\/(4*i\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/70 - 28\/(-45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -344 + 7913\/23. Let f be 8\/(-5)*(1 - -3 - -1). Let s be 5 - 10\/(-6 - f). Is l greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((36\/8)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4826*w. Let z(c) = -1019*c**2. Calculate z(m(f)).\nAnswer: -23732791244*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j - 14. Let h be g(-6). Is (-6710)\/h + (5\/4)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621336827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:35 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*k**3 + 6*k**5 + 47*k**3 + (219*k**2 - 2*k**2 - 12*k**2)*(3*k**3 + k**3 - k**3).\nAnswer: 621*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 20*n - 41. Let t be x(22). What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 8 = -4*z. Suppose 3*w - 70 = z*w. Let y be (4\/14)\/(10\/w). Put 3, -14, y in decreasing order.\nAnswer: 3, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 94. Determine u(5).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y. Let w be r(3). What is the highest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/20 + 24\/(-10). Let q = v - -18. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3227525 - -3227413.00094. Let u = 112.2675 + -0.2675. Let w = u + b. What is w rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2831732, 0 in descending order.\nAnswer: 2831732, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17891.\nAnswer: 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13804\/68)\/(-29) - -14*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 427227263*o**4 - 44*o**2 - 4*o + 107150?\nAnswer: 10253454312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/30240 - u**7\/2100 - u**6\/675 + 7*u**5\/60 - u**3\/3 + u**2 + 4. Let k(g) be the third derivative of x(g). Factor k(p).\nAnswer: 2*(p - 4)*(5*p + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b**3\/5 + 68*b**2 - 1424*b\/5 - 512\/5.\nAnswer: 4*(b - 4)*(b + 32)*(3*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 3*v**4\/2 + 2*v**3\/3 - 43*v**2\/2 - 30*v. List the prime factors of a(5).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let j be w(-1). What is the remainder when 23 is divided by j\/(-1) + 1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 738, -24, -2, -5, 5, -20, -3 in decreasing order.\nAnswer: 738, 5, -2, -3, -5, -20, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 0*s + 3*s)*(226 - s + 0*s - 218).\nAnswer: 2*s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 + 399*d**2 + 4865*d - 2532 = 0.\nAnswer: -12, 1\/2, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whn when three letters picked without replacement from {w: 1, n: 2, h: 2, l: 1, b: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231766877?\nAnswer: 61, 599, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.30936ns in minutes?\nAnswer: 0.000000002855156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 888 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 11*v + 11. Let w(a) = a**2 - 5*a + 6. Suppose -3*d + 10 = i, 4*d - 3*i - 24 = i. Let f be w(d). Solve u = v*u - 5*h - 14, 5*u - f*h - 14 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*a + 15 = 0, 639*a - 634*a = -5*s - 15 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3372.75 - -3374. Round n to 2 dps.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447, 421, 377, 315, 235?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(49)\/(-4*sqrt(28)\/sqrt(4)).\nAnswer: -4 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 38360 = -x. Let l = x + 61295\/8. Calculate the common denominator of l and 2 - (182\/(-8) + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37929 + 54980 - 1799 = -3646*q - 21916 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23770 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2512, 0.3, 1\/6, 10, -4 in increasing order.\nAnswer: -2512, -4, 1\/6, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85094, -88433, -91772, -95111?\n\"Answer: -3339*j - 81755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 9\/2*32\/6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/983, 3, 0.12 in increasing order.\nAnswer: -2\/983, 0.12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 221798 - 7?\nAnswer: 221791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 612\/(578\/17)*2\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 197\/5. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26820 + 26785 = -5*h + 5*p, -2*h - 4*p - 22 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 + 5*w. Suppose 2*r - 311 = -273. Let j(g) = 13 - 45 + 13 + r + 3*g. Calculate j(b(i)).\nAnswer: 15*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 divided by -6?\nAnswer: -269\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - z. Let a(l) = 6*l**2 + 9*l. What is -a(p) - 2*c(p)?\nAnswer: -4*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93 + -21.206893.\nAnswer: 71.793107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/4))**(4\/9) assuming p is positive.\nAnswer: p**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54999032*a**3*w + 808183*a**2*w + 37*a*w wrt a.\nAnswer: 329994192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19\/(-4))\/(((-475)\/100)\/19). Suppose -2*r = 154 - 800. What is the highest common factor of t and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 minutes before 9:14 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-462)\/178320) - (-2)\/(-11). Let s = 183733\/68 + c. Suppose 4*d = -p + 12, -1 = -4*p + 2*d - 7. Is s at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 + 5.1?\nAnswer: 673.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times 134\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 - 6*j**2 - 20*j\/3 + 112.\nAnswer: 2*(j - 7)*(j - 6)*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 2\/5, -0.3, 4\/7, 50, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m)**(5\/6)*(m*m**5)\/(m\/m**3) assuming m is positive.\nAnswer: m**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 46853 and 46858 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {p: 9, h: 5, y: 3, f: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*r - 30*r + 70848. Does 41 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1 - 9*d + 1 - 13*d**3 + 4 - 17*d**2. Let y(b) = 3*b**3 + 4*b**2 + 2*b - 1. Suppose -n = -5*g + 22, -2*g + 9 - 11 = 5*n. Give n*j(c) - 9*y(c).\nAnswer: -c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*u - 2745 - 7997 = -2121 + 703 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((0 + 1*sqrt(304))*4)**2 + sqrt(209)\/(sqrt(110)\/(sqrt(60)\/sqrt(6) + sqrt(10))) + -1).\nAnswer: 6*sqrt(19) + 14589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(3\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 8*p**2 + 6*p + 18. Let n be c(9). Let s be (n\/(-138) + 0)*(-4)\/(-6). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oobxodt. What is prob of sequence xtob?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66 - 3\/2*q**2 + 30*q.\nAnswer: -3*(q - 22)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 257.\nAnswer: 29\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2 + 4*a**2 - 16*a**2. Let y(o) = -5*o. What is y(q(l))?\nAnswer: 95*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4997 minus 12927?\nAnswer: -7930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*m*w**2 + 190324553*h**2*m + 2*h*m*w**2 + 246*h*m + 2*h*w**2 - 2*m*w**2 + 6*w + 991 wrt h?\nAnswer: -2*m*w**2 + 380649106*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -182 + 541 - t**2 - 177 + 606*t**4 + 459*t**4 - 179 as x*t**2 + k + a*t**4 + d*t**3 + w*t and give a.\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 40 + 27 = 5*x, 0 = 4*x + 5*c - 42. Solve 13 = -t + x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 2*v - 2. Let s(i) = -2721*i + 3*i**2 + 2717*i - 4 - 5*i**2. Let t(l) = -2*l + 1. Let r be t(-1). Calculate r*s(j) - 5*d(j).\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*o + 108*o + 108*o + 61*o - 6896.\nAnswer: -7*o - 6896","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-41496)\/(-16)))\/(((-35)\/15)\/7)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/22 and 107\/104.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2538534413?\nAnswer: 59, 79, 157, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 23*r**2 + 23*r + 22. Let u be l(-22). Suppose -17*a + 38 + 81 = u. Calculate the greatest common divisor of a and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -29*r - 142. What is y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 66 = 3*n, -56*n - 63 = 3*p - 60*n. What is the common denominator of -50\/1337 and p?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 2. Let m be q(1). Put m, -5, -2 in increasing order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17))**2*-4 + -4.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 16 (b) -2\/5 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a day in seconds?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/6 (b) 1\/36 (c) 2\/49 (d) 2\/3 (e) -0.2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 0. Suppose i = 4*z - 8 - 4. Let t = -3 - z. Let j(s) = 8*s**2 - 6*s - 7. Let d(u) = -15*u**2 + 11*u + 13. Give t*d(o) - 11*j(o).\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*f**6 - 131*f**5 + 4*f**2 + 2*f + 4896?\nAnswer: 2760*f**3 - 7860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-3598)\/(-588))\/257)\/((-9)\/144)\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*f = 45, 5*i - 10 = 2*f + 2*f. Suppose -i = -w - 0. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 17*q**2 + 69*q + 30. Calculate z(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84463697 less than 280?\nAnswer: 84463977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) -260 (b) 43\/3 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70153.\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 32 = -r, 7 + 23 = -r - 3*c. Let q be 1\/(-2 + r\/(-12)). Solve 0 = -n - 5 + q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nadddddddaddnd. What is prob of sequence ddd?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 55440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053713958 rounded to six dps?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/78)\/(-3))\/((-3)\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021339 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - -62. Let b = -53 + v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/171723028 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 25393?\nAnswer: 279323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -23*v - 26. Let l(d) = -8*d - 11. Determine 2*j(t) - 7*l(t).\nAnswer: 10*t + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukkkqkqqqqqqqfqir. Give prob of sequence ufri.\nAnswer: 1\/73440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -4) + 0 + -9. Let k(c) = -3. Let r(n) be the first derivative of -n**2\/2 + 14*n + 5150. Calculate a*k(i) - 2*r(i).\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5053131 - -5?\nAnswer: 5053140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*f + 52, -3*l = -4*f - 19 - 49. Is 16 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794 greater than or equal to -79\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30377*f*g*n**2*s + 37470*f*g*n**2 - 2*f*g + f*n**2*s + 2*g*s wrt s?\nAnswer: -30377*f*g*n**2 + f*n**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - 11. What is the remainder when 29 is divided by (-182)\/w - 6\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and -245909.\nAnswer: -245909.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 1.9. Let r = 21 - p. Let m = r + -20.2. Put 0.3, -2, m in increasing order.\nAnswer: -2, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + t - 3, 7 = d - t + 1. Solve d*a + 9 = 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*h = -4*h - 3*b - 48, 0 = 13*h - 13*h - 57*b - 37*b - 1034 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/4 in -222, -2\/15, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/(25\/(-30)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 + -151. Factor s**5 + s**5 + 336*s**c + 24*s**3 + 6*s - 324*s**4 + 20*s**2.\nAnswer: 2*s*(s + 1)**3*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 9*z - 11. What is t(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 17, -11, -15, 12, 0 in descending order.\nAnswer: 93, 17, 12, 0, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.2535 and 0.4.\nAnswer: 8.1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(3\/84*-1). Suppose 64*o = 60*o + i. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -7. Let t(d) = -11*d + 0 + 10*d + w. Does 5 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*t + 80, -4 - 16 = -5*t. What is the smallest common multiple of 18 and q?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 8, t: 9, c: 2}. Give prob of sequence vvv.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {p: 1, f: 2, x: 2, j: 2, i: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228 is divided by 1201.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/429 + 48\/312?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 33. Suppose 0*f + 2*f = -4*a + 296, 458 = w*f - a. Let m = 263 - f. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c - 182. Let m = -4 + 8. Calculate the remainder when v(53) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*s**3 + 136*s**3 - 272*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1842*f*s**3 + 87*f*s**2 + 3*f*s - s**6 wrt s.\nAnswer: -11052*f - 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-13 - -8 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = -0*u. Suppose -4*s + 0*s + 164 = 0. Let q(h) = s*h**2 + 9 + 2*h - 35*h**2 - 1 + h**3. Give q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-26)\/91)\/(-2 - (-50)\/35). Which is the nearest to 1? (a) 480 (b) -0.3 (c) 2\/13 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6 - (-49)\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, 1\/6, 0, 0.769?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3990367 divided by -4\nAnswer: -3990367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.72 (b) -0.2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 942*q**3 + 940*q**3 + 3 + 2*q - 2*q**2 - 1876*q**3 to the form i + j*q**2 + v*q + w*q**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:11 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19760*b**6*s + 2*b**4*s**3 - 200*b**2*s**3 + 2*b**2*s**2 - b**2 + 2*s**3 wrt b.\nAnswer: 2371200*b**3*s + 48*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -86*a**2 + 169*a - 19. Calculate q(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -170960 + -17969159\nAnswer: -18140119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -34.183, 0 in descending order.\nAnswer: 5, 0, -34.183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 3*i**2 + 1\/20*i**5 + 0 + 1\/6*i**3 + 1\/24*i**4 + 0*i. Calculate f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 8, b: 2, s: 3, c: 1, v: 4}. Give prob of picking 1 d and 1 v.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 500 - 503. Let c = -21 + 102. Let h be (-266)\/(-18) + l\/c*-6. Calculate the greatest common factor of 60 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 501*s**2 + 3493*s + 258882. Determine a(-495).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 10*j**2 - 8*j - 1. Let v be q(9). Let p = -5 + v. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 36*k - 7 = 23 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1429460 divided by 714730.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -1369*u**5\/30 - 20683*u**4\/18 - 2224*u**3\/9 - 20*u**2 - 14*u - 93. Suppose i(c) = 0. Calculate c.\nAnswer: -15, -2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -157 - 1a1?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)*(5 + 0). Let a be 1\/6 + 1 + 87\/18. Let t(p) = -p**3 + 8*p**2 - 13*p + 11. Let w be t(a). Solve 0 = -5*k, -w*r - 20 = k - i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 506 + -505.936. Let v = -0.064 + l. Which is the closest to -1? (a) -2\/5 (b) 2\/75 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) - sqrt(77))*-3 + sqrt(77) + (sqrt(77) + (sqrt(77) - sqrt(77)*2) + sqrt(77))*2)\/(-6*-1*sqrt(22)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-4) + 4 - 166\/(-2). Calculate the highest common factor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * 1.132\nAnswer: -0.14716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -85, -81, -79, -79, -81?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8748 and 990?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -60) + -80 + 36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -68200 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 134. Let m be d(33). Let j(s) = 1 + 0*s + s - 2*s. Give j(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 3741?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050135 is divided by 57.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - 50\/(-15). Let y(g) be the first derivative of 6*g**2 - g**3 - 4*g**n - 4 + 2*g**3 - 3*g + 0*g**3. Determine j so that y(j) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-29242.\nAnswer: 14621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 10:31 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 8 - (-142 - (-99 + 42)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/17798575 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 33 = 33. Suppose 5*m - 12 + f = -4*r, 15 = 5*r - 2*m. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 - 8956*a**3*v**3 + 58192*a*v**3 - 2*a*v wrt a.\nAnswer: 12*a**2 - 53736*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (-16 - (-16 - (-19 - -6))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -11. Let x(a) = a + 15. What is the least common multiple of 6 and x(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -16. Let g be 256\/(-48) - -3*(-4)\/18. Let u = g + o. Is -3\/11 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 1037952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 12540?\nAnswer: 37620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + 2639504503 - 1123*x + 1123*x - 2639504503.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 2*w - 1. Let y be f(0). Let q(r) = -576*r**2 + 3*r - 2. Let u be q(2). Let a be (2 - 3) + u - y. What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2374 is divided by 321.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2436301 - 3?\nAnswer: -2436304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-195)\/(-4))\/(42\/336). Let j be ((-1)\/3 + 5)*p\/35. Let b be (2 + (-8)\/3)*-195. Calculate the highest common divisor of j and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7640 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8)*-2)\/((48\/8)\/(-84)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*s**3 + 435*s**3 + 813*s**3 - 263*s**3 - 317*s**3 + 886*s**3.\nAnswer: 1983*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (84\/20)\/((-3786)\/(-3155)). Determine w so that -3 - g*w - 1\/2*w**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2, -76, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*b - 5*v + 18, -4*b = -v + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33517, -134765, -303501, -539719, -843413?\nAnswer: -1214577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 41 + -34 + 5*-1. What is the fourth smallest value in -4, -1\/4, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -0*p - 17*p. What is the highest common factor of p and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s - 5*q + 8, -4*q - 16 = 0. Suppose 5*u + 1880 = -v, -6*v + 2*v = 3*u + 1128. Let h = 385 + u. What is the lowest common multiple of h and s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, r: 9}. What is prob of picking 3 b and 1 r?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/126*(-2)\/(-8)*5\/(-5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26da07 (base 14) to base 12.\nAnswer: 54979b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*c**3*r**2*s - 2408*c**3*s + 3*c**3 + c**2*r**2*s - 1039*c**2*r**2 - 2*c*r**2 - c*r*s + 4*r**2 wrt c.\nAnswer: -438*r**2*s - 14448*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (166\/8 - 5\/(-20)). Find v, given that j*v + 24 + 103*v**2 - 46*v**2 - 53*v**2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*l - 11. Let v = l - -15. Suppose -9 = 3*y - y + 5*d, -3*d = -y + 12. Solve v*h = 5*h - 4*n + 14, 3*n = y*h + 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000211456 to 7 dps.\nAnswer: -0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 - -820\/3. Let r(f) be the first derivative of 5\/2*f**2 - o*f**3 + 5 - 2*f. Determine r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 3*n**2 - 6*n - 1. Let w be r(-4). Let j = 4 - w. Let p = -7.7 + 8. What is the biggest value in j, p, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41883 (base 9) to base 5.\nAnswer: 1341241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/30 + p**4\/6 - p**3\/2 + p**2. Suppose 5*a = -4*y - 30, 3*a - y - y = -18. Let x be (a\/18)\/(2\/(-12)). What is f(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(71\/639)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:13 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h**2 + 64*h**2 - 9*h**2 in the form b*h + f*h**2 + r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7652429 to the nearest integer?\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let f(r) = -5*r + 96. Give f(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.7486667984 + 35?\nAnswer: 22.2513332016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348 - 2*y + 5*y**2 + 340 + 454 + 346 - 1488.\nAnswer: 5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67112, 67119, 67138, 67175, 67236, 67327, 67454?\n\"Answer: m**3 + 67111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -46\/13*p**4 + 5110\/13*p**2 - 2\/13*p**5 + 38\/13*p**3 + 12900\/13*p - 18000\/13 = 0. What is p?\nAnswer: -15, -4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/9)\/(8\/(-30))*342. What is the common denominator of 117\/10 and 5\/4 - b\/152?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6257639 is divided by 3894.\nAnswer: 3875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 + 110*m - 775. What is p(8)?\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2 - 2*z + 3. What is the units digit of v(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1034128 and -33\/16.\nAnswer: 1034128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-838)\/1320 - 2\/8. Let m = -1071\/4 + 16129\/60. Let r = m + d. Sort -1, -0.5, r in decreasing order.\nAnswer: r, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*b + 6*f - 26, 5*b + f = -22. Let l be ((-50)\/(-15))\/b*-45. Calculate the highest common divisor of 20 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -19, -28, -37, -46?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*u - 55, -4*u + 41 = -2*u - 3*v. Suppose -395 = -5*q - 115. Suppose -q = -2*m + 20. Calculate the remainder when m is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5579253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + 2033. Calculate the remainder when w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4124?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 2*r + 2. Let n be x(-3). Suppose 0*v - 30 = -10*v. Suppose -k - 3*k + 56 = v*g, 0 = k - 5*g - n. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 254 + -25?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.224 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4916 is divided by 205.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*p - 467*p + 6237 = -8051 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m. Let j(b) = 31*b + 7349. Give j(o(z)).\nAnswer: -155*z + 7349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 63 + 55 = -7*a, -2*a + 8 = 0. Let o(s) = 11*s - 117. Calculate o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -307, -4 in ascending order.\nAnswer: -307, -4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:40 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 10\/(-10) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/9 + 2\/(-3). Let n(q) be the second derivative of -3*q**5\/20 + q**4\/12 + q**3\/2 - q**2\/2 + 30953*q. Determine n(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 332 + 113 = -f, -2*g - 637 = -3*f. What is the remainder when f is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 2112021122220?\nAnswer: 2112021122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 77488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4 - 4 + 2*w. Let i be -2 + -1 - (-12 - -4). Let u(c) = -5*c + i*c + 2*c. Calculate a(u(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 356614*m**2 - 419547 wrt m?\nAnswer: 713228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1000 or 999?\nAnswer: 999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12143 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 144 = -6*q. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 6. Let k be s(6). Let r = 0 - 13. Let a be (-2 + 4)*(r - -11). Sort k, -1, a in decreasing order.\nAnswer: k, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13331404 (base 5) in base 4?\nAnswer: -201110133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -5561\/1722?\nAnswer: -5561\/1722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1713*z - 3447*z = -1720*z - 182 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*y = 542, 5*a + 44 = -5*y - 546. Let h(i) = -16*i - 6. Let m be h(6). Let o be m\/(-16) - (-42)\/a. Solve o*r = 3*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 629 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3334.497?\nAnswer: -3334.497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**2 + 135*i - 510. What is f(13)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 267\/4, 1, 20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 163*k**3 + 5*k**2 + 4*k**2 - 4*k - 5*k**2 + 155*k**3 to m + s*k**2 + z*k + j*k**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 8*c - 3*c)*(1 + 2*c - 1) - 17*c**2 + 3*c**2 - 13*c**2 - 1 + 1 - 2*c**2 + (-c - 3*c + 2*c)*(-1 + c + 1).\nAnswer: -47*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -39*k**2 + 14009*k + 175. Calculate r(359).\nAnswer: 3047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwzwczwzzwwww. What is prob of sequence zzw?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338542 is divided by 332703?\nAnswer: 5839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/1 + 3\/(-1))*0. Sort p, -1, 4, 2 in increasing order.\nAnswer: -1, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 + 2*h**2 + 0*h**4 + h**2)*(0 + 1 + 0).\nAnswer: -h**4 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 - 8 - 71*g**3 - 8*g**3 + 9 to the form s + c*g**2 + i*g**3 + w*g and give i.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -22. Suppose 0*k - n = -3*k - h, 4*h = -2*k + 10. Let c = k - 4. Calculate the remainder when 4 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -118, -241, -526, -1057, -1918, -3193, -4966?\n\"Answer: -14*q**3 + 3*q**2 - 34*q - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013401090953 to 5 decimal places.\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168.29 + -106.29. Which is the third smallest value? (a) -6 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-285)\/(-2))*(-123 + -31 - 6\/(-4)).\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -11*j + 17. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32574 and -0.3.\nAnswer: -9772.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -9. What is the third smallest value in -0.2, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - x = -9, 5*x = 3*b - 0*b + 6. Suppose -2*s = 4*g, b*g - 6*s + 2*s = -22. Is g\/(-6) - (-148)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.91, -1\/3, 2\/11, -2\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 28 = -33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*s - 168681 - 67110 = 3*s. Is s < 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -11. Suppose g + f = 5. Let t(a) = g*a + 0*a - 16*a - 7*a. Let j(w) = w. Give j(t(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.3, -1, -4, -1\/4, -111, 2 in decreasing order.\nAnswer: 2, -1\/4, -1, -4, -7.3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1393 and 426047657?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose -4 = -2*c + n, 0 = -c + 5*n + 6 + 5. Solve 0 = 3*a - 3*x - 4 + 1, -3*a + c = -r*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13907\/6 - 2321. Calculate the common denominator of -1*(-67)\/10 + -1 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27374261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**4 - 1200*j**3 + 18549*j**2 - 44928*j = 0.\nAnswer: 0, 3, 13, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7051632 divided by -56?\nAnswer: 125922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -106\/354613?\nAnswer: -106\/354613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 5431539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 943028996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 633, 921, 1225, 1551, 1905, 2293?\nAnswer: 2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46142 is divided by 550?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5824 + 6801. List the prime factors of h.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21204 + 3480 = 44*g. What is the remainder when g is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 15*n**6\/14 - 183*n**5\/35 + 291*n**4\/28 - 75*n**3\/7 + 6*n**2 - 12*n\/7 - 10. What is f in b(f) = 0?\nAnswer: 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 - (-1 + 7 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/10866 and -52\/3.\nAnswer: 10866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - -0.182.\nAnswer: -8.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 8}. What is prob of sequence evve?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 o when four letters picked without replacement from llooo.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -52 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*d - 8*d**3 + 56*d)*(-2*d - 2 + 2) - 1 + 2*d**4 + 1 + (-5*d**2 - 2*d**2 - 9*d**2)*(-2 - d**2 + 2) - 3*d - d**4 + 3*d.\nAnswer: 33*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 802932*k**3*q**3 + 14*k**2 - 2*k*q - 1274*q**3 - 18888*q**2 with respect to k.\nAnswer: 2408796*k**2*q**3 + 28*k - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k - 49. Let f(j) = -7*j - 33. Let v(z) = -5*d(z) + 7*f(z). Let h be v(-4). Suppose 5*w - h = 10. Calculate the lowest common multiple of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 4259\/2 - 2132. Which is the second smallest value? (a) l (b) -1\/8 (c) -36 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*m**2 + 4 - 12 + 8 as n*m**2 + s*m + y and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/57*(-15)\/5. Suppose -239 - 445 = 57*m. Which is the fourth biggest value? (a) m (b) -4\/7 (c) v (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -831 - -836. Solve 4*r + x = u, 4*u - 5 = 3*u + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 4?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h + 27. Let i(t) = -27*t - 111. Calculate -2*i(d) - 9*m(d).\nAnswer: -9*d - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 + 11137410*a**3 + 279094311805453*a**2\/3 + 186062841124740*a + 279094244980996\/3.\nAnswer: (a + 1)**2*(a + 16706114)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f. Let t(w) = -744*w**2 + 4*w. Calculate t(j(a)).\nAnswer: -11904*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-10))\/((-4)\/10). Let k(x) = -4*x + 3*x - x**3 - 7 + 6 - 2*x**d. Let f(b) = b**3 + 3*b**2 + b + 2. Calculate -4*f(m) - 6*k(m).\nAnswer: 2*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 87*t + 0*t**3 + 2*t**3.\nAnswer: t**3 + 87*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2)*(i**3 - 13*i**3 - 14*i**3) to v*i**3 + r + k*i**2 + z*i and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.66036 + 0.405. Round a to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -107981 and 197.\nAnswer: -21272257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45197333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -25 + 10 + ((0 - -25) + 0 - 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 5, p: 2, e: 9, r: 1}. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 5*j - 2. Let q be p(4). Let t be (-4)\/12 + q\/(-30). What is the third smallest value in t, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3195, 3245, 3299, 3357?\n\"Answer: 2*c**2 + 44*c + 3149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09073 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -113*w**3 + w**2 - 1. Let v be ((-6)\/4)\/((-18)\/(-12)). Is z(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:49 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 1. Let j(r) = 11*r**2 - 5*r - 6. What is j(h) + 6*m(h)?\nAnswer: 5*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, -0.1, 129, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.244906 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 424754 * 2.\nAnswer: 849508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 - 192*d**2 - 1308*d + 11840 = 0. What is d?\nAnswer: -37, -16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -19 - (-48 + -3 + 5) - -11?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6, -5*o = -h - 7*o + 2724. Let p = h - 62542\/23. Which is smaller: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 144537197.55471\nAnswer: -144537197.35471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:44 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6994 - 306176\nAnswer: -313170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068433 less than 3.37288?\nAnswer: 3.304447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*o - 2 + 9 = 0, 2*g + 5*o - 16 = 0. Which is bigger: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(605)\/(sqrt(44)\/sqrt(4)))\/((4*(sqrt(132)*1 + sqrt(132)))\/sqrt(12)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (44 - 7) + -17 + (25 - 17).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m**3 + 28*m**2 - 37*m - 8. What is z(-4)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 62*b**2 - 300*b + 165. What is w(-25)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 130 (c) -1 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 732 and 2694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 11*d + 5*j - 11 = 0, 2*d - 5*j + 12 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 20 = 2*u - 4*s, 2*s - 10 = -2*u. Suppose 3*h + 2*c - 525 = 0, -5*h + 897 = -u*c - 4*c. Suppose -5*y + 6*y = h. List the prime factors of y.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8361212 by 2090303.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162323, 324443, 486563, 648683?\nAnswer: 810803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -453740 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 44632650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -26*s**3 + 187*s**2 + 396*s - 10136. Let d(c) = 8*c**3 - 62*c**2 - 132*c + 3380. Let x(v) = 7*d(v) + 2*r(v). Determine b, given that x(b) = 0.\nAnswer: -7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*o - 20 = 0, 0 = -3*f + 2*o - 4*o + 32. Let c(k) = -k**3 + 7*k**2 + 8*k + 12. Calculate the least common multiple of c(8) and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-18))\/((-1)\/10). Let n be 10\/i*5\/2. Solve 0 = -5*a - n - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10710 - -3964782.448.\nAnswer: 3975492.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*r**2 - 66*r**2 + 27*r**2 + 69*r**2 - 4*r**2.\nAnswer: 91*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*f + 53*f - 8. Let w(t) = -224*t - 9. Is w(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 9 = -3*g + 3*p, g = -p - 7. Let d = 13.7 + -14. Let l = 26.5 - 26. Which is the third smallest value? (a) g (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415100.\nAnswer: 2, 5, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6192*a + 3856*a - 773*a + 1751*a)*(2*a**3 + a**3 - 4*a**3) to z + k*a**4 + p*a**3 + h*a**2 + c*a and give k.\nAnswer: -11026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 5, w: 4}. Give prob of picking 1 j and 2 f.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5129 = 13687. Suppose -5*l + v = l. Suppose 455 = 7*h - l. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*b + 528 = -112 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446479864.\nAnswer: 2, 23, 2426521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q)\/(q**(-12)*q)*((q*q**1)\/q)**(24\/5) assuming q is positive.\nAnswer: q**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1060096 and 9885072.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 58488.\nAnswer: 467904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2635*b + 35667 = -177768 for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 6*a**2 - a + 8. Let x be p(6). What is the nearest to 1 in x, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 6*o - 1198. Let b = -109 + o. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4267743128 to 3 dps.\nAnswer: -0.427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-21)\/(-23016))\/((12\/3)\/(-8)).\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*h + 287 - 173 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 422621 - 12?\nAnswer: 42260f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 725273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10983771, 21967513, 32951255, 43934997, 54918739?\n\"Answer: 10983742*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 75*y**2. Let g(p) = 965265*p**2. What is f(g(l))?\nAnswer: 69880239016875*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 864 = 4*c. Suppose -3*b = -3*j - 39, b + 4*j = 24 + 14. What is the remainder when b is divided by c\/(-42) - (-2)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**3 + 2710*u**2 - 963600*u\/7 + 4356000\/7.\nAnswer: -2*(u - 5)*(7*u - 660)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-18)\/(-10) + -2). Let k(f) = f - 18. Let x be k(13). Let q be -6*(x\/(-2))\/a. Sort -5, q, -4 in decreasing order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2275*r - 3046*r - 505*r to the form q*r + m and give q.\nAnswer: -5826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + -1*sqrt(11)) + 3 + sqrt(44)\/sqrt(4)*3.\nAnswer: 21 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 3*a**2 - 2. Let t be d(2). Solve -t*z - p = -7, 1 = z + 2*p - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h**4 - 18*h**4 + 6*h**4 + (8 - 8 + 38*h**2)*(h**2 + 4*h**2 - 3*h**2) - 2*h**4 - 3*h**2 + 3*h**2 as b*h**4 + m + c*h + u*h**2 + f*h**3 and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1030\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2655189\/5992 + -3545\/8. Let m = o - -1508\/3745. What is q in -9\/5*q**3 + 11\/5*q**5 + 0 + 13\/5*q**4 - 13\/5*q**2 - m*q = 0?\nAnswer: -1, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19684 and 82978?\nAnswer: 116667068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 356 - 2137\/6. What is the second smallest value in 0, -102, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14679.77212216 and 4.\nAnswer: 14683.77212216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 8*f**2 - 6*f - 8. Let v(a) = a**3 - 8*a**2 + 6*a + 8. Let j = -28 - -33. Let q(d) = j*v(d) + 6*i(d). Let r be q(7). Are r and -2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 4*k = 17*t - 10, 4*t - 6 = 2*k. Suppose -2*r = t*z - 52, 7*r + 5 = 8*r. Solve 25*m - z*m = -20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3322\/19 - 175. Let y be ((-286)\/(-33))\/((-114)\/5). Let o = y - b. Sort -2, 1, o in descending order.\nAnswer: 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147053 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 7398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cll when three letters picked without replacement from {l: 10, c: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d + 988 + 2010 - 4997 + 2002.\nAnswer: 12*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1254*q**2 + 10*q - 10. Let o(d) = 1252*d**2 + 8*d - 8. What is -5*o(w) + 4*z(w)?\nAnswer: -1244*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1\/2338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 12 = 3*u. Let f = u - 2. Is -5 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4 - 4)*(143*g**2 - 143*g**2 - 2*g**3) - 1 + 1 - 4*g**4.\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 7 - v**2 - 2*v**2 + 4*v. Let p be w(5). List the prime factors of (-18)\/(-12) + 37\/p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 248566?\nAnswer: 497132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (0\/(-5))\/4. Let i be 152*(20\/(-8) + g). Suppose 0 = 3*j + j - i. Is j equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*f + 6, -24*f = -5*z - 22*f + 18. Solve -25 = z*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2497 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, -40, -0.5 in descending order.\nAnswer: -0.1, -0.5, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -45. Let n = o + -20. Suppose 0*p - 19 = 3*p - 5*l, -3*l = p - 17. What is the closest to -0.1 in p, 3\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -363 - -363. Is 7\/136 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88872 and 2399061?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14\/111 - 5633\/222. What is the common denominator of l and 59\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27)\/(((-736)\/36)\/(-8)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68516\/53 or 1292?\nAnswer: 68516\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + t + 7 = 0, -31 = 3*g - t + 6*t. Let v = -2 - g. Suppose v*z = -5*z. Solve -b + 2*b = z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*b + 4, -v + 2*v - 1 = 2*b. Let x be -72 + (-1)\/v + -1. Let u = -41 - x. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*l**5 - 1488975*l**4 + 4415418*l**3 + 59655048*l**2 + 1631040*l = 0.\nAnswer: -5, -2\/73, 0, 8, 6796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -12*v. Let f(r) = 62*r + 17. Let h(c) = f(c) + 6*y(c). What is h(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11116 - -13829. Let v = q - 14076. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 - 15*c - 24. Determine n(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 5*o - 132. Calculate v(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d + 22 = 3*c, 0 = -3*c + d + 17. Let q be -4 + (3 - c) - 7. Which is bigger: -15 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (838 - 838)\/(1*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 401, 358, 279, 140, -83, -414, -877?\n\"Answer: -4*q**3 + 6*q**2 - 33*q + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17247?\nAnswer: 3, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6850 - -61552\/9. Which is smaller: -10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 3:49 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 613.9 - 646. Let w = -27 - u. Let y = -5 + w. What is the third smallest value in 2, y, 0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17869 - 17874. Let s(a) = 2*a**3 + 7*a**2 + 5*a - 4. Let y(v) = -6*v**3 - 20*v**2 - 14*v + 12. Calculate u*y(d) - 14*s(d).\nAnswer: 2*d**3 + 2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3199.587 millennia to decades.\nAnswer: 319958.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1678 - 1659. Solve 5*o - d = 3*p, -2*p - 3*o + 3 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + sqrt(980) + 1)**2 + (-3 + 2*sqrt(320)*5)**2.\nAnswer: -536*sqrt(5) + 32988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (664 + 41*k**4 - 664)*(7*k - 4*k - 9*k).\nAnswer: -246*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14442202 (base 5) to base 8\nAnswer: 460427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*o + 37, -o - 147 = -2*m + 215 - 378 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 67. Let q(s) = -6*s**2 - 6*s. Let b(g) = g**2 - g. Let p(j) = z*q(j) - 2*b(j). What is n in p(n) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363050707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*q - r + 6*r, -5*q = -4*r - 19. Suppose q*i + 9 = -26. Let v = i - -5. Solve -4*p - 1 + 5 = v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -3, -5, -0.6223 in ascending order.\nAnswer: -5, -3, -0.6223, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2059 - -2058.83. Let o = 3 + 6. Let v be (-12)\/o - 2\/3. Put 1\/5, l, v in descending order.\nAnswer: 1\/5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4052 + -4019. Calculate the lowest common multiple of 204 and t.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/272 and ((2\/(-10))\/(187\/66))\/((-176)\/(-150))?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (318*n - 13 + 79*n + 62*n)*(-2*n**3 + 2*n**3 - 2*n**3 + (-n**3 - n**2 + n**2)*(3 - 4 + 3)) to q*n**3 + z*n + s*n**2 + i*n**4 + h and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -w + 4*w. Let x be (16\/(-40))\/(2\/w). Suppose 0 = 4*l + x*j + 70 + 48, 0 = 2*l - 4*j + 74. Round l to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252 + 2316. Suppose -19*i + c = -15*i - g, 2*i + 5*g = 1284. What are the prime factors of i?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51647 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 5*h - 5*h)*(5 - 1 - 2) - 50*h + 36 + 55*h - 50.\nAnswer: 9*h - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 11. Suppose -17 = 3*o - 2*j - 30, 0 = -5*o + t*j + 30. What is the greatest common factor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5 + 7492*i**4 + 3614444*i**3 + 98985596*i**2 + 172819680*i - 275427216 = 0. Calculate i.\nAnswer: -922, -27, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 637*o + 59883. Calculate x(-94).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 57*s + 685. Let o be g(-40). Solve -32*u + 54 = -o*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g + 42*g + 2*a = -4036, 0 = 5*g - 8*a + 12*a - 247 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(56\/6) + (690\/(-70))\/23. Suppose 7 = 4*w + 3. Which is greater: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -10031?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -4*v, 2*v - 10 = 2*o - 4*o. List the prime factors of (-2)\/o - 17\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/10)\/(3\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9580836t in micrograms?\nAnswer: 958083600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/(j\/j**(-2\/13)))\/j)\/j)\/(j\/(j\/(j\/(j**(-6)\/j*j))))*j\/(j*j**(-1\/7)*j)*j*j*(j**(-2\/13)\/j)\/j)**40)**(-2\/3) assuming j is positive.\nAnswer: j**(74000\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 15 = -3*z. Let c(f) = -3*f**2 + 47*f - 14. Let p be c(15). Let b be (-4)\/p*12\/(-3). Sort -1, z, b in increasing order.\nAnswer: z, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 12. Let i be c(6). Suppose -2*w = -i*w + 40. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*((y**(-4)\/y*y)\/y)\/y)\/(y\/y**(-2))**3 assuming y is positive.\nAnswer: y**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 0. Suppose 2*h + 2*z - 28 = n, -h + 2*z + 4 = 2. Suppose h*f - 115 = 5*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28724691.\nAnswer: 3, 37, 251, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one quarters of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1378 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -r - 2*r + 6, -m = r - 2. Suppose -3 = r*j - 7. What is the third derivative of 9*u**2 - 17*u**2 + 3*u**5 + 5*u**j wrt u?\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 19 = -w, -2*w + 2*t = 3 - 9. Let v(k) = 4*k + 6. What are the prime factors of v(w)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 784?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22940490 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1941 = -8*j - 2*p, p - 642 = j. Let a = j + 1459. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n. Let g = -351\/62 - -191\/31. Let x(u) be the first derivative of 0*u + g*u**2 + 12. Calculate c(x(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733518 is divided by 104738?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1851, 2040, 2353, 2790?\nAnswer: 3351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5 + 111*c**4 - 234*c**3 + 6*c**2 + 231*c - 117 = 0.\nAnswer: -39, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*v = 4, 5*v = -b + v + 4. Suppose 3*n = -b*k + 134, -4*n = -9*n + 5*k + 200. What is the greatest common factor of 12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 96a + 90a2?\nAnswer: 9a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358060, -716120, -1074158, -1432162, -1790120, -2148020?\nAnswer: -2505850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8636 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 2\/41, -1\/2, -2\/9?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7232 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g\/(g**(1\/5)\/g))\/(g**19\/(((g*g*g**(-18))\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - (sqrt(432) - (-3*sqrt(432) + sqrt(432))*3 - sqrt(432))) + sqrt(432)*-1*-4)\/(2*-1*sqrt(576)*2))**2*-5.\nAnswer: -15\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 17*k + 9*k - 26*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 1369*b**3\/2 + 58275*b**2 + 1179984*b - 2598544 = 0.\nAnswer: -1612\/37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 + m**2\/2 + m. List the prime factors of z(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3811 - 3816. Which is the nearest to -0.58? (a) t (b) 0 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 6*n**2 + 5*n + 35. Give r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x**3 - 21\/2*x**2 - 5\/2*x**4 + 18 + 0*x. Find the second derivative of p(i) wrt i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 9. Solve -3*r = -q*p - 27, 3*r - 26 = 5*p + 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 20*r**2 + 4*r - 3. Suppose -94 + 95 = n. Suppose 0 = 20*x - 21*x + n. What is the tens digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10938868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/10)\/((-1)\/4). Let m = -3 - -4. Is 102\/4 - m\/p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 69*w - 102 = 0. Suppose 5*a - 1855 = -j, 4*j = -w*a - a + 7420. What are the prime factors of j?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:48 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(56*t - 21 + 16 - 146*t + 7).\nAnswer: -180*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123, 2642, 7279, 13788, 22169, 32422?\n\"Answer: 936*b**2 - 43*b - 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1389 + 6400. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2 - 1) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.1 * -1.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 87*a**2 + 103*a + 8964. What is m(-87)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3429486a + 5?\nAnswer: 34294873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (1 + (-20)\/12)*-78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215 - 23*c - 29 + 22*c - 40 to y + f*c and give y.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4\/7 - 8761*o**3\/7 - 4798287*o**2\/7 - 1192455*o\/7 + 3597075\/7 = 0 for o.\nAnswer: -1095, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -53, -81, -107, -131, -153, -173?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**3 - 13*k**3 - 6*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69330 and 17505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 174154034 to the power of 1\/2, to the nearest integer?\nAnswer: 13197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - 4*t - 39, 0 = -3*q - 4*t - 93. What is the common denominator of 737\/612 - (-4 + (-102)\/q) and 51\/10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -26, -44, -70, -104, -146?\n\"Answer: -4*n**2 + 2*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*c**5 - 30*c**3*x - 4*c**2*x + 1830*c*x + 2*c + x wrt c.\nAnswer: 480*c**3 - 180*c*x - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 832 in descending order.\nAnswer: 832, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2210 + -2?\nAnswer: 2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1924*r + 3441 = 20757 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907334.\nAnswer: 2, 453667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -46 - 130*b + 58 + 70 + 143*b. Let u be f(-6). Solve 0 = -u*v - 7 - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 6*n = 99600000. Round n to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000210120 - 2200?\nAnswer: 20000200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-10 - -6) - 6 - (5 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 y, and 1 p when four letters picked without replacement from fjfpmjmyfppyxpy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**5 + 11 + 2*u**5 - 7*u**5 + (2 - 2 - 2)*(u**5 + u**5 - 4*u**5) - 2*u**5 - u**3 + u**3.\nAnswer: 4*u**5 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 345\/(-230) - 1986\/(-4). Suppose 67 - 22 = k. Calculate the highest common factor of k and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 5*y + 1. Let o be h(-4). Suppose 0 = -m + 3*m + 2*a - 84, 4 = 2*a. Suppose 3*w + 5 = o*k - k, 3*k = -5*w + m. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*j + 119*j - 19*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.040301198023601 and 16.\nAnswer: 15.959698801976399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-16)\/(-6)))\/((-23625)\/(-4200))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 2 k when four letters picked without replacement from {k: 3, a: 1, q: 8, z: 3, n: 2, r: 1}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 20.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*h - 4486 + 887. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lje when three letters picked without replacement from {j: 2, h: 1, l: 1, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o - u - 17 = 0, 5*o + 3*u - 15 = 0. Let i = 15.868 + -10.868. Sort -12, o, i, 1 in decreasing order.\nAnswer: o, i, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2915, 11747, 26459, 47045, 73499, 105815, 143987?\nAnswer: 188009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/12 and 4280\/280*(-7)\/(-220).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/70*-3*(-6)\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4 + 2797*u**3 + 25119*u**2 + 75303*u + 75276 = 0 for u.\nAnswer: -2788, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13945 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/6 - 434*z. Let a(l) = 651*l**2. Give v(a(p)).\nAnswer: -847602*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -372 (base 10) to base 14\nAnswer: -1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1936 (base 11) in base 2?\nAnswer: -100110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1528, 12101, 40700, 96307, 187904, 324473?\n\"Answer: 1497*x**3 + 31*x**2 + x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/43, 4\/7, 5, -1\/6 in increasing order.\nAnswer: -1\/6, 2\/43, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t. Let m(w) = -2*w - 193. What is b(m(z))?\nAnswer: -16*z - 1544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.46122 rounded to 0 dps?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270660 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21600391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22020 divided by -6.\nAnswer: 3670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(3\/10*5))\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 89 + 761 = 11*k. Calculate the remainder when 370 is divided by k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-29)\/((-175392)\/(-42))*(-40)\/12?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a week in hours?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b - -1889?\nAnswer: 181d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z - z**2 + 0 + 1 - z + z**3 - 2*z**3. Suppose 44*m = 14*m - 90. What is p(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, 2\/45, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2180 times -5\nAnswer: 10900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + 10*a**2 + 1 - 9*a**2 + a**3 in the form b*a**3 + v*a + s + x*a**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 + 506 + 115 = 185*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*m + 2826, -4*z + 1173 = -4*m + 3429. Let a = m - 382. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13554 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1672 + -1669. Solve 58*h - 53*h = -4*x - 7, -r*h + 1 = 5*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, -3, 8\/5, -246?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370860688 to the power of 1\/3, to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 510 = -480. Solve 36 = -7*l + 11*l + 4*r, -5*l = -r - f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220377902 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210236 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425702?\nAnswer: 2, 3, 127, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 10*p + 7. Determine m(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.79533 and 8.306.\nAnswer: 6.51067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -718.939 - -719. Let l = -0.339 - u. Let y = -1.9 - -2. Put -6.5, l, y in decreasing order.\nAnswer: y, l, -6.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/16856 and -37\/40?\nAnswer: 84280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 7 - 7*z - 5 + 15.\nAnswer: -9*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 183114, 183178, 183242, 183306, 183370?\n\"Answer: 64*d + 183050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -2, 16, 1171.7 in decreasing order.\nAnswer: 1171.7, 56, 16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2649 and -0.03704.\nAnswer: -0.009811896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 5*k - 4. Let f be 6\/(-21) - 33\/7. Let h be o(f). Let q = 7 + h. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -80*y + 2742. Calculate j(34).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.86 (c) -1\/5 (d) 0.13 (e) 0.071 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 2*h + 8*h)*(-7 + 0 + 0) to the form l*h + m and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(3*h**2 - 8 + 8 - 2 - 2*h**2 + 2 + (h**2 - 3*h**2 + 4*h**2)*(1 + 1 + 0) - h**2 - 4 + 4 - 19*h**2 + 0*h + 149 - 151 - h).\nAnswer: 30*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -151, -168, -201, -256, -339?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011 - 1011?\nAnswer: -11110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(10)\/sqrt(5) + -3)*-6.\nAnswer: -6*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -217*f - 93. Let z(b) = -2*b - 1. Let h(u) = d(u) - 93*z(u). Determine h(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4907436.41 - 0.5?\nAnswer: -4907436.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -76343 (base 9) in base 6?\nAnswer: -1030103","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905365 is divided by 60356?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 104713 (b) 74 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y - 88. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.53 in -0.1, 0.2, 1, -1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 + 5*o + 3. Let d be -7 - 2*42\/(-12). Let r be p(d). Solve 0*x = r*x + 12, g = 5*x + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q + 3*q)*(3 - 1 + 0).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 5, y: 5}. Give prob of sequence lcl.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/6 - 8*u**3\/3 - 2*u**2 - 214*u. What is c(11)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.21, -3\/4, 1\/51, 1\/8, -0.2?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 z when three letters picked without replacement from bnznnbjjuynuzy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -2 (b) 2 (c) 359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -443 or -407?\nAnswer: -407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*q + 21 = 0, 7*v + 5*q + 22 = 11*v. Solve 16 = 3*o + 2*h, o - v = h - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1 + 0 + 4). Let y be l\/((4 - 4) + 2). Solve h + 4*h + 5 = y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*f - 6, f - 5*r + 0*r - 14 = 0. Suppose f*o + 15 + 5 = 0. Let q(b) = b**3 + 5*b**2 - 7. What is q(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 16\/48 + (-2918)\/6. Let d = -234 - u. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273641.\nAnswer: 273641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9*(57\/969)\/((-2)\/(-34)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 421, 353, -201, -1247, -2791, -4839?\n\"Answer: -n**3 - 237*n**2 + 650*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccffccffccccc. What is prob of sequence fccc?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -11. Suppose -4*n + y + 2 = 4, 3*n - 3*y = -c. Suppose 7635 = -n*a + 5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -13. What is the remainder when 47 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*w**3 - 17330032*w**2 - 3*w + 17330032*w**2.\nAnswer: -44*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = -26*t + 140. Let j = 53 + -14. What is the greatest common factor of t and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/4 - ((-20)\/8 - -2). Let b = f - -87. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/140 - 78\/(-14). Let j(i) = -i**3 + 5*i**2 + 5*i + 5. Let c be j(r). Let n = 0.1 - 0.1. What is the third biggest value in c, n, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Let i(k) = -5 - 140*k**2 - 138*k**2 + 282*k**2 - 5*k. Let c(m) = -3*m**2 + 4*m + 4. Calculate v*i(f) + 5*c(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 17 - 5)*(59*o + 23*o + 17*o + (2 - 3 + 3)*(-o + 2*o - 2*o) + 0*o + 2*o - o) in the form f*o + w and give f.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from eddeedeeededteddee.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2104 - 2104. Solve x = -3*i - 10*i + 65 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 41. Let i(q) = -4*q - 3. Give i(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + 3*o**3 - 5*o**3 + (3*o**2 - 6*o**2 + 4*o**2)*(-o + o - 2*o) - 3*o**3 + 3*o**3 + o**3 + 4*o**3 - 2*o**3 - o**3 + 901 - 100*o**3 - 901.\nAnswer: -102*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 223 in 0.4, -1\/4, -2, -0.3, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10340 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 7.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 71314640*g + 285258480.\nAnswer: 5*(g - 14262924)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (1 + 2 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1)*(-146 - -6). Let r = -113 + d. List the prime factors of r.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(27)\/(sqrt(18)\/sqrt(2)) - sqrt(3)) + -3*(sqrt(147) + -2))**2.\nAnswer: -84*sqrt(3) + 1327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(3\/(-6)*(-38 - -43)). Which is the closest to 16? (a) f (b) 2\/19 (c) -0.5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 50 + 10 = 0. Solve -3*b - 3*s = -g*s - 3, 5*s = b - 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 735\/(-45) + 39 + -23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*r - 92 = -2*a, 112 = -4*a - 3*r. Let t = a - -193. Calculate the greatest common factor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/7 (b) 14 (c) -3\/4 (d) 1\/9 (e) -636\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 117*c + 22 = 116*c, 2*l - 5*c - 56 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 2*a + 44 - 162 + 115 - 2022*a**2 to the form t*a**2 + q + v*a and give t.\nAnswer: -2022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67376962*x**4 + 10*x**2 - 227*x - 3710.\nAnswer: -1617047088*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)\/sqrt(2) + sqrt(40))*3 - (sqrt(3240)*-2 + sqrt(3240)))*2)\/(-1*sqrt(32)\/sqrt(4) + (sqrt(800) - (sqrt(800) + sqrt(800)*4))).\nAnswer: -30*sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.7 - 7.3. Let z = k - -4. Let x = -1.4 + z. What is the nearest to -1\/2 in x, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -22, 68, 192, 350, 542?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 277909 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7751?\nAnswer: -7751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4.2*-312286\nAnswer: -1311601.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5303 + 10604 - 295*g**3 - 5301 - 443*g**3.\nAnswer: -738*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -3 (c) 0 (d) 1283 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 47*y**2\/2 - 264*y - 288.\nAnswer: -(y - 24)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -255 - -360. Suppose c = 2*x - 235. Does 63 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 18. Let i be 6\/h + 148\/(-20) + -1. Let g(r) = -r**3 - 4*r**2 + 4*r + 19. Is 54 a factor of g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15*q + 129. Calculate p(11).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 (base 15) in base 4?\nAnswer: 122113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.63559 + -33.2357. Let w = -2.6 - t. What is w rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10 - 23*k + 8*k - 12*k + 7. Does 17 divide i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100012010 (base 3) to base 10.\nAnswer: 85431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*x = -5*y + 2284, -4*x = 3*y - 3447. Let z = -1705 + y. Let n be (2\/(-4))\/(7\/z). Round n to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*h + 47714, 0 = -3*h + s - 8014 + 55734. List the prime factors of h.\nAnswer: 2, 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.34 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1305)\/(-390) - (-42)\/(-12). Let g = -1.94 - 0.06. Let o = 2.1 + g. What is the second smallest value in o, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 10*a - 168. Let r = 6 + -1. Let z = 7 - r. Solve -3*i + a = m - 4*m, -z*m = 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 192. Let b be i(-15). Is 30 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 5*m**2 - 3*m + 9. Calculate i(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0 + z - 5)*(96 - 56 + 90).\nAnswer: 130*z - 650","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -63, -49, -29, -3, 29?\n\"Answer: 3*s**2 - s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n, 5*c + 6*n + 17 + 3 = 2*n - n - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16373 + 0?\nAnswer: -16373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 - 1245*a**2 - 6320*a - 7620 = 0. Calculate a.\nAnswer: -3, -2, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 96*v**2. Let z(h) be the second derivative of -h**3\/6 + 17*h - 5. Calculate s(z(p)).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(160)*-5*6)\/(5*2*sqrt(968)).\nAnswer: 6*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 7*b**2 + 1 - 9*b + 0 + 5*b. Calculate the remainder when 36 is divided by f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08083 - -0.41917. Let w = 0.05 - -0.01. Let x = 3.94 + w. What is the smallest value in x, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 112 + 14*h**3 + 9*h**3 - 24*h**3.\nAnswer: -h**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 40 = -4*k, -7*k + 6*k = 4*a - 44. Calculate the lowest common multiple of a and 93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let h(t) be the third derivative of t**5\/60 + t**3\/2 + 11*t**2 - 37. What is -h(q) - w(q)?\nAnswer: -q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from nddddhppk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546019891?\nAnswer: 19, 43, 71, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 10*s - 3. Let g be o(-10). Let u = 0.5 - 0.4. Let l = 1.7 + -6.7. Which is the closest to u? (a) l (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/280 - a**5\/140 - a**4\/56 + a**3\/14 - 108*a**2. Factor s(k).\nAnswer: 3*(k - 1)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.6. Let v = a - -0.16. Let t = v - 0.17. What is t rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.7. Let p = -0.26 + 3.26. Which is the second biggest value? (a) p (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837899 divided by 1?\nAnswer: 837899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9364 - -0.1976. Let d = -0.066 - f. Let g = -2.20000178 - d. What is g rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 22*z**2 - 34*z + 740. Give d(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0 - 2 + 14*x + 12*x - 7*x. Let t be j(-1). Let b = 28 + t. 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 -364 (base 12) in base 9?\nAnswer: -624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51084 and 31482?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*g - 64*g = 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((3*sqrt(198))\/sqrt(9))\/(5*sqrt(11)*-3) + 0)*-1)**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**3 + 2. Let v(n) be the first derivative of n**4\/4 - n + 5660. Determine -o(p) + 6*v(p).\nAnswer: -3*p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7007)\/(-14)*36\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*t - 64*t - 150*t to the form y*t + i and give y.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -682*o**3\/3 - 8650484*o**2\/9 - 9143548904*o\/9 + 17875984\/9 = 0.\nAnswer: -2114, 2\/1023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 32754764 and 32754760 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + t - 1 = 0, -7*i + 2*i - 4*t + 4 = 0. Find the third derivative of -3*o**2 - o**2 + 5*o**2 + i*o**2 - 3*o**4 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5156192670.\nAnswer: 2, 3, 5, 23, 379, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 109876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -598\/15 greater than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9955)\/(-36) + 56\/252. Let k = 277 - v. Factor -1\/4*o**2 - 1\/4*o**3 + 1\/4*o**5 + k*o**4 + 0 + 0*o.\nAnswer: o**2*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 139*p**4\/4 + p**2 - 1362*p + 1. Let t(z) = -3*z. Determine j(t(x)).\nAnswer: -2502*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h - 16. Suppose 2*v = -v + 6. What is the tens digit of r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 - -22?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -110008 - -7?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/((-4400)\/(-154))*(-12)\/28?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8760000 to the nearest 100000.\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 83*a**6\/60 - 3*a**5\/20 + 5*a**4\/24 + 7*a**3\/3 - 28*a**2. Let f be t(-7). What is f rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23)\/((-253)\/22))\/(247580\/(-123791) - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrereersrreeesrme. What is prob of sequence rs?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-24)\/(-16)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m + 241. Let i be h(12). Differentiate 71 + 30*p + 121 + 20*p - 8*p**2 + 2*p**2 - i*p wrt p.\nAnswer: -12*p + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, -155, -385, -619?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11113374*g**2*v - 135110696*v wrt g.\nAnswer: 22226748*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(5\/2)*y)*y\/(y**1*y))**45\/((y**2)**(2\/39))**(-29) assuming y is positive.\nAnswer: y**(1987\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(2*z - 20 + 20).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*q + 113*q + 30 = 0. Suppose -3*j + a + 18 = 0, j + a - q = -5. Solve j = 5*b - 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5884 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 + -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215415 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by ((-10)\/4 + 3)*8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {u: 1, m: 1, o: 4, a: 2, k: 2, t: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1643*k**6*q - k**2*q + 1465*k**2 wrt k?\nAnswer: 197160*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-104)\/(-48) + (-10676)\/5304. Suppose 0 = 3*q, -i - 3*q + 10 = -0*q. Let j be (-6)\/8*(-8)\/i. Which is the second smallest value? (a) 0.4 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.46874064 to 4 dps.\nAnswer: 2.4687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*l + 102, m = 6*l - l + 42. Suppose -5*f + m + 48 = 0. Let s = 12 + 17. What is the remainder when s is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 6*t**3 - 80*t**2 - 138*t - 65.\nAnswer: (t - 13)*(t + 1)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*r + 56*r**3 - 137*r - 26*r**3.\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, -10886230, -2.\nAnswer: -10886230, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22414 - 113?\nAnswer: -22531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -636*y + 633*y - 9, 4*f + 47 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67822789 and 339113945.\nAnswer: 339113945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m + 0*m**5 + 3*m**3 + 0*m**4 + 1\/30*m**6 - 14*m**2 + 0. Find the first derivative of g(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8365 take away 720.57171?\nAnswer: -713.73521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6662.2 plus 440.97?\nAnswer: -6221.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**3 + 2*f**2 - 6*f - 5. Let i(r) = -15*r**3 - 4*r**2 + 11*r + 9. Give -11*b(d) - 6*i(d).\nAnswer: 2*d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -7 (c) -4 (d) -2 (e) 18.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -88.725 and 0.5?\nAnswer: 89.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**3 - 7*n**3 - 3*n**3.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*g*k**2*q**2 - 2*g*k*q**2 + 2*g*k*q - 6*g*k - 9*g - 903979*k**3*q - 30910*k*q**2 + 6 wrt k?\nAnswer: -52*g*q**2 - 5423874*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -1.11.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/5 + 50062*b**4\/5 + 417683952*b**3\/5 + 1161439809152*b**2\/5 - 1161857543168*b\/5 = 0. What is b?\nAnswer: -8344, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 13*q**3 - 39*q**2 + 36*q + 2. Let h be r(1). What is the nearest to -0.1 in -3, -0.1, 2\/15, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 126 - 255622?\nAnswer: -2554a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1358348.9\nAnswer: 679174.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -109, 5 in increasing order.\nAnswer: -109, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*l - 5, 0 = q - 3*q + 3*l - 19. Let k(m) = -2*m**3 + 4*m**2 + m. Let c(r) = 4*r**3 - 7*r**2 - 2*r. Give q*k(y) - 3*c(y).\nAnswer: -2*y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -10 - (14 + (0 - 0))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10760 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12057 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-8)*3\/(9\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/12492 or -1?\nAnswer: 1\/12492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 28 = -4*v, v - 3*r = -8*r - 7. Let g(l) = l + 47. Let p be g(v). Suppose -3*i - 7*i = -p. Solve 22 - 6 = i*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.325kg in tonnes?\nAnswer: 0.076325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 4b?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 21. Give t(18).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/5 + 291483*n**2\/5 - 2124043908*n - 5310182641\/5 = 0.\nAnswer: -1\/2, 72871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271031 to the power of 1\/2, to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x - 11. Let n = 312 + -325. Let j(c) = 4*c - 5. Calculate n*j(r) + 6*w(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 7 - 19. Suppose 5*x - 112 = i*x. Suppose -5*p - 5*n = -60, 0 = p - 6*p - 3*n + x. What is the least common multiple of p and 13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*s = -127*s - 46*s - 1995 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012354519 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 4:36 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030300 (base 4) in base 3?\nAnswer: -110100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 967942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274687 + -174795. Let k = 65792 - i. What is k rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 70*h**2 - 104*h + 17. Is c(8) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*p - 175*p + 495*p - 103*p - 106*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*v - 95638, -40*v - 191326 = -2*d - 36*v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 424*o. Suppose -5*d = 3*q - 9*d + 68, 2*q + 68 = -3*d. Let p(x) = -77*x. What is q*p(w) - 5*j(w)?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 351*x**4 + 81*x**2 - 63*x - 63. Let t(g) = -22*g**4 - 5*g**2 + 4*g + 4. Let p(j) = 4*f(j) + 63*t(j). Find the third derivative of p(z) wrt z.\nAnswer: 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 210518 = 58*k. List the prime factors of k.\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhvxssvhnxnnhvhx. Give prob of sequence vn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 2*o + 3*o + 18 - 18 to the form a + u*o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4737 is divided by 1137.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kow when three letters picked without replacement from okktttwooo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-13 + 26 + -17 - (15 - -1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38059 times -0.21\nAnswer: 7992.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/2 - -8)\/((-3)\/(-4)). Suppose -t - 5 = -3*h. Suppose 4*x + 4*v = 16, 13 = 5*x - v - h. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0, 5, -6.36, -2, -1 in ascending order.\nAnswer: -6.36, -2, -1, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**(2\/69))**23\/((n**1)**(1\/28)\/(n\/n**0)**(-1\/54)) assuming n is positive.\nAnswer: n**(463\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, -16 in descending order.\nAnswer: 14, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72 - -88a2?\nAnswer: 8944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642454 is divided by 5266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - (-5 - -13)) + 66 - 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3105098 and 160421.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 1648251.\nAnswer: 26372016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 165*c - 8530. Give i(33).\nAnswer: -3085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4 - 52418526*o**2 + 102610357*o wrt o?\nAnswer: -12*o**2 - 104837052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 4*r - 36 + 26, 0 = -2*h - 2*r - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1205995254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 441\/3*2\/3. What is the tens digit of -1 + 0 - (19 - r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001000 - -100?\nAnswer: -100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12624)\/(-54704) + 2154\/(-39)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.929 rounded to one decimal place?\nAnswer: 161.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27 (b) -3\/5 (c) -1 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -74*k + 5185. Let z be n(68). What is the greatest common divisor of 12240 and z?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*b + 14*v - 12*v, -5*b + 20 = v. Suppose 7*s - 2*s - 85 = 0. Calculate the remainder when s is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75122*m**2 + 81053 wrt m.\nAnswer: 150244*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 - 1\/20*s**5 + 0*s**3 + 11*s + 0*s**2 - 1\/6*s**4. Determine n, given that b(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 + 24*x + 55. Determine h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 415, 623, 831?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**8\/210 - o**4\/8 - 5*o**3\/3 - 13*o. Let h(d) be the second derivative of c(d). Differentiate h(y) wrt y.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 10631751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -44677632*b - 55680. Let o(d) = -11234*d - 14. Give -7*j(c) + 27840*o(c).\nAnswer: -11136*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let w = 18 - 16. Suppose 2*u = 7*u. Solve q + t + w = u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4361176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*6\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1064)\/(-315))\/19*(-10)\/(-24)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33284*l**2 + 23*l + 65. Let z be d(-3). Is 69 a factor of z\/187 + 6 - 2\/(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4 and 33\/125.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3 + 1. Let p(s) = 3*s**2 + s - 4. Let l be p(b). Let h(o) = -o + 6. Give h(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0193 * -64\nAnswer: 1.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**2 - 12*c**2 + 21*c**2 as g*c**2 + v*c + i and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1398676181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 87*d**2 - 120*d + 45. Give a(2).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1478, 2, -15?\nAnswer: -1478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -277 + 280. Suppose -2*w + 9 = -h, -a*w = -8*w + 2*h + 22. Solve 5*f - w = -24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1873*f**2 - 26 + 45 + 3783*f**2 - 19 - 1877*f**2.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - -12?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*(sqrt(1700) + 1) - sqrt(1700)) - (3 + sqrt(17) + -3*sqrt(17) + sqrt(17) + sqrt(17) - sqrt(136)\/(3*sqrt(8))))**2.\nAnswer: -118*sqrt(17)\/3 + 59186\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2 + 0*f**3 + 2*f**3 + 2*f**2 + 4 + 0*f**3. Does 10 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/65 (b) 1\/3 (c) 0.1 (d) -359 (e) -1\/2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*w + 65*w - 8*w - 63*w.\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5796*y**2 + 34775*y. What is a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 2*w**3\/3 + 5*w**2\/2 - 7*w + 1. Let b(d) = -d**3 + 4*d**2 + d. Calculate the remainder when f(-6) is divided by b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mddmddmdmd. What is prob of sequence dmmd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2702 + -1549. Let r = t - -120. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36a49 (base 13) to base 14.\nAnswer: -2894c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 603525 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -70470 to the nearest one thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 627, 94, -4, 8 in descending order.\nAnswer: 627, 94, 8, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19de (base 16) in base 6?\nAnswer: -50354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4*r - 2*q**3 - 71099*q**2*r - 155144*q*r + q + 2*r wrt q.\nAnswer: 24*q**2*r - 12*q - 142198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 0, -110 = -0*u - 5*u + 4*k. Suppose 0 = -2*g - 5 + 19. Let o(y) = -305*y + 319. Let v be o(1). Solve 2*l = 3*p + u, g + v = -4*p + l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 51. Let s = 18 - q. Let j be 9*(-10)\/(-105)*s. Solve 4*f - 6 = j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = t, 0*r + 4 = 3*r - t. Let c(j) = -j**2 - j + 9. Let g be c(r). Let b = 21 - g. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1371984 and 18483?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -700, -1049, -1398, -1747?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-3\/2)\/d*d*d*d*d**6*((d\/(d\/(d**(-2\/3)\/d)))\/d*d)**(-41) assuming d is positive.\nAnswer: d**(455\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19893 - -20042. What is the remainder when 15197 is divided by p?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 1\/6, -2, -1\/7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/(-1)*(-19398)\/87291.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1548 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8417275 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*x**2 + 13*x**2 + 22*x**2)*(-1 - 7 + 2)*(-8 - 3*x + 8) in the form o + h*x**3 + j*x**2 + i*x and give h.\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 44*v + 26. Does 8 divide c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 52743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -76. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 0.090165\nAnswer: 0.72132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 141*n**3 - 1 + 111*n**3 - 6051*n**3)*(-1 + 1 - 1) as y*n**3 + d + p*n**2 + x*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -3. Let d(f) = -8*f - 158. Let n be d(-24). Let i(b) = -5 + n*b**2 + 3*b - 68*b**2 + 35*b**2. Calculate i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*h*j**2*s + 2*h*s - 25*h - 3*j**2*s**3 + 60*j*s**3 + 2*s**3 - 2*s**2 wrt j.\nAnswer: -144*h*s - 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*z**6 + 75*g*z**3 - 30*g*z**2 + 2*g - z**2 wrt z.\nAnswer: -240*g*z**3 + 450*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/2, -4, -5, 1\/38, -18, 2\/5 in descending order.\nAnswer: 1\/2, 2\/5, 1\/38, 0, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*p**2 - 59*p**2 - 52*p**2 + 166*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -10120220221?\nAnswer: 10120220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9088 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away -0.540687222?\nAnswer: -13.459312778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5*n**2 - 8*n + 7. Let w be x(6). Suppose -2*k - 5*a + 18 = 0, -5*a + 23 = -0*k - 3*k. Sort k, w, -3 in increasing order.\nAnswer: w, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343631 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196418 (base 10) to base 9.\nAnswer: -328382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*(-3*x**3 + x + x**3 + 0*x**3).\nAnswer: 8*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193544 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 0 - (-2 + 6 + 3 - 10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 - -90. Let m = s - -77. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -73265729?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 + 204. Let g = 6 + -39. Let c = -6 - g. What is the remainder when j is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18658497 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f - 17. Let o be v(-6). Let u be (o\/(-2))\/(1\/2) - -1. Let h = 120 + u. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 10*i**2 - 2*i - 13. Let s be n(-10). Let j = 18 - s. Let o(t) = t - 6. Let d be o(j). What is the highest common factor of d and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 2*y + 4. Suppose -4*n - 2 = -14. What is the remainder when 36 is divided by i(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v + v**3 + 16 - 16 - 7 + (-5 + 0 + 3)*(-3*v**2 + 3*v**2 + 2*v**3) + 5*v**3 - 10*v**3 + 6*v**3.\nAnswer: -2*v**3 + 4*v - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and (41\/(-82))\/(1\/(-22)).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6 = -v - 17, 2*v - 2*l = 2. Suppose -v*d - 1055 = 970. Round d to the nearest 10.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 11*l + 40*l = 58674. List the prime factors of l.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s - 9*s + 4*s**2 + (-3 + 5 + 2)*(-6*s**2 + 3*s**2 + s**2) + 2*s**2 + s**2 + 3*s**2 to the form v + n*s + f*s**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/7 (c) 110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-34\/5)\/(w\/w**5))\/(w\/w**(-27)*w\/w**(5\/9)))**(-5\/11) assuming w is positive.\nAnswer: w**(1406\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-6\/5)))\/(j\/j**(-3\/5)*j))**36 assuming j is positive.\nAnswer: j**(-684\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + m + 4 = 18, 0 = -h - m - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7913.9921248 - 7914. What is i rounded to 4 decimal places?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -17*l + 19. Suppose 4*p + 64 = 4*k, -3*k - p + 71 = l. Solve 9*h = 2*h + k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(160\/(-128))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkk when three letters picked without replacement from {k: 2, z: 1, m: 1, c: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1813697, -1813699, -1813701, -1813703, -1813705?\n\"Answer: -2*c - 1813695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/15*(-22)\/(-110)*-470?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 268.9615 to 1 dp.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 46848?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 14. Calculate m(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -760, -763, -766, -769, -772?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 2.03\nAnswer: 1.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 - (155 + -88 - -35)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k**2 + 5. Suppose 0 = 15*q + 3*q. Give x(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 0*v - 16 - 17\/2*v**2. Give h(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*1)\/sqrt(7))\/(-5*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 177471335 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 5670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/72 - 3302\/36. Let k = -92 - p. What is the nearest to -2 in k, 5, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3335380.02 minutes to weeks.\nAnswer: 330.890875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53577442 is divided by 1821.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 3 (b) 4\/5 (c) -0.7 (d) -36 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, c: 5}. Give prob of sequence ccc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiinniiiiiin. What is prob of sequence iinn?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1230 + -1?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16838 + -16843. Which is the second smallest value? (a) 29 (b) -51 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 8\/4)*-6. Suppose -4*d + 172 = 4*c, 2*d = 4*d - c - 83. What is the highest common factor of d and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1655 = -5*k - 0*p, -2*k + 657 = p. Suppose -2*y + 70 = 2*q - q, 0 = 5*q - 2*y - k. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 7*r = -3*r + 24, 6 = -3*r. Let o be (-27)\/(-25) + (-5 - u). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**3*h**3 + 535*c**3*h**2 + 2*c**2*h**2 - c*h**3 wrt h.\nAnswer: -48*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131413372524040 take away -0.2?\nAnswer: 131413372524040.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = 6. Let a(d) = -8*d - 194. Let z be a(-42). Suppose -u*y + z = w - 57, -y - 2*w + 38 = 0. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*l - 5*l**2 - 1 + 0.\nAnswer: -5*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 813.9021 hours?\nAnswer: 2930047.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60963 divided by 20321.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o**2 + 2*o - 1. What is l(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 61697, 1540 in descending order.\nAnswer: 61697, 1540, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/55 - 4249\/26708?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9324 + -602. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - -4 - (-9)\/((-18)\/(-4)). Let s = 0 + -2. Let n be s*2\/2 + w. Round n to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(159\/(-477)). Let j(l) = 14*l**2 + 2*l - 3. Let f(b) = 14*b**2 + b - 2. Let z(a) = 4*f(a) - 3*j(a). What is z(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9) + (-20)\/(-45).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -2\/511 (b) 0.2 (c) -4 (d) 0.092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130759139*b**3 - 3*b**2 + 4*b + 7324419.\nAnswer: -784554834*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y - 15. Let x = 7 + -5. Suppose 3*w + 12 = -w + x*b, 4 = b. Put y, 3, w in decreasing order.\nAnswer: 3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 - 6732*b**2 - 3816720*b - 44836416 = 0. What is b?\nAnswer: -1116, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*w - 11130 - 6482 - 796 = 0 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*i - 1665 = 1002*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35161912091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*m**(-2\/5)\/m*m)))**(-2\/25)\/((m**(-3\/5)*m*m*m*m)\/m**(-4\/3))*(m**(-6)*m**(-5\/2))\/(m*m**(-3)*m\/m**(1\/8)) assuming m is positive.\nAnswer: m**(-36709\/3000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + 33. What are the prime factors of r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*w**3 - 10*w - 285 wrt w.\nAnswer: -450*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/20, -0.001, 5, -4, 5\/3?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208 and 520.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 12006312?\nAnswer: 12006331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/19 + -427\/76. Let c = 3 - 5. Find the common denominator of (1\/9)\/(c\/249) and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 50 + 18)*(-57*h**3 - 44*h**3 + 59*h**3)*(-h - 1 + 3 + 4) as k + a*h**2 + i*h + r*h**3 + l*h**4 and give l.\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 85766495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and -0.384565.\nAnswer: 9.614125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/13)*((z*z**(-1\/8))\/z)\/z)\/((z*z**(-15))\/z*z*z*(z\/z**(4\/3))\/z) assuming z is positive.\nAnswer: z**(3977\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 353, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0*o + 0*o**3 - 13\/20*o**5 + 19*o**2 + 0*o**6 + 0*o**4 - 5\/42*o**7 + 0. Find the third derivative of y(w) wrt w.\nAnswer: -600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-4) + -1 + 0 - (-2063 - -2057). Suppose 2*l + 2 = 0, -c - 2*l - 3 = -3*l. Let y be ((-2)\/c)\/(8\/(-6)). Sort -4, y, w, 1\/2 in decreasing order.\nAnswer: 1\/2, y, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*p + 6*q - 10, -5*p = 3*q - 30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/1183 - -339\/1183. What is the nearest to p in 32, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 69715.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 4:58 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 37. Let j(x) = 3*x + 2 + 12*x**m - 11*x**2 + 0*x + 2. Let q(h) = h**3 - 6*h**2 - h + 3. Let w be q(6). Determine j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75665 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 3. Let n(k) be the second derivative of 5*k**3\/6 + 5*k**2\/2 + 2*k + 3. Give 3*n(j) - 5*t(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let n(z) = -z**2 - 3*z. Let u be n(g). What is the units digit of u\/(-1) - (-9 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 8\/15 (b) -4 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Let p = j - 4.5. Let s(q) = -q - 2. Let v be s(-1). Which is the closest to v? (a) p (b) -2\/19 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmn. What is prob of sequence md?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001222 (base 3) in base 6?\nAnswer: -21425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -122. Suppose -2*d = 2*v + 34, -5*d + 0*v + v - 103 = 0. Is d at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 550.34 - 3.34. Let x = -547 + h. Which is greater: x or 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -0.04, -2\/9, -3, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -12. Let u = -0.307 + 1.207. Which is the closest to u? (a) -2 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 17*q - 38. Let t be m(2). Which is the biggest value? (a) t (b) 0.1 (c) 12\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/(18\/(-81)). Suppose -15 = -5*f - q, -q + 4 = -v*f + 21. Factor -f*m**4 - 3*m**3 - m**5 + 2*m**5 - 4*m**2 + 3*m**3 + m + 6*m**3.\nAnswer: m*(m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**3\/2 - 14*b**2 - 123*b. Let a be f(-14). Calculate the greatest common factor of 18 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39740231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312443 (base 5) to base 10.\nAnswer: 10373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2040066 is divided by 5894?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36916 - 36927. Let x = 0.2 - -0.1. Let q = x + 0.1. Which is the closest to o? (a) q (b) 0.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-3)\/(-12))\/((-12)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8172, -8166, -8160, -8154?\n\"Answer: 6*v - 8178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 12 - 21*g - 15\/2*g**2. Differentiate o(w) wrt w.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h + 160 = 0. Suppose -3*z - h = -184. Suppose 15 = g + 3*k - z, 228 = 3*g - 4*k. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 30. Solve 0 = -9*l + 5*l - f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2\/2 + 633*r\/2 + 315 = 0.\nAnswer: -210, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*r + 6089 + 6775. Solve 21*t + r = -93 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(96) - -5*(sqrt(216) + sqrt(24)))\/(3*sqrt(972) + -6*(sqrt(48) - sqrt(12))).\nAnswer: 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 30\/457 (b) 8 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 5 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*m**6 - 53*m**2.\nAnswer: -15240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 48 = 5*w. Let r = -19 - w. What is the remainder when 13 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*h = -17, 0*h + 3*h = 3*s - 21. Suppose -2*x - 6*x + 27*x = 0. Suppose 5*q + f - 162 = x, 5*q - s*f - 159 = -4*f. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 43, 107, 225, 415, 695, 1083, 1597?\n\"Answer: 3*s**3 + 7*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + 2*s**2 - 3*s**2 + (0*s**2 - 5*s**2 + 4*s**2)*(2 + 2 - 3) to the form c*s + w + a*s**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1497 - 29*f + 29*f + 1573 - 6*f**2.\nAnswer: -6*f**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.09645 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1103 divided by 547.\nAnswer: 1103\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 23\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -126591, -126594, -126597, -126600, -126603?\n\"Answer: -3*j - 126588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = -4*i, 3*i + 6 = 2*y + 2. Determine f so that -3*f**4 + 0*f**4 - 646*f**3 - y*f**4 - 5*f**2 + 656*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from khhkeehypche?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 326923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1295 = -2*k, 1295 = 5*m + 2*k - 3*k. Is 1 + 48\/(-6) + m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = 2779146. Let j = -646382 + q. What is j rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3208 and 3664?\nAnswer: 1469264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*j + 2*a + a, 4*j + 5*a + 15 = 0. Let r(h) = h**3 + h**2 + h + 1. Let q be r(j). Let s be 1*(-13)\/(39\/(-12)). Put s, 3, q in ascending order.\nAnswer: q, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 7*y + 3*y)*((4 - 7 - 6)*(15 + 2*y - 15) + (y + 0*y + 0*y)*(4 - 2 - 1) - 6*y + 67 - 67) + 5*y**2 - y**2 - 2*y**2 + y - y**2 - y.\nAnswer: -114*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 6445*m**3\/3 + 3*m**2\/2 + 4*m - 3. Let d be w(-3). What is d rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -5, -0.5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 + 5054*a**2\/3 - 973248*a.\nAnswer: a*(a - 548)*(a + 10656)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -7. Let o(w) = -8*w - 4. Let g(c) = -9*c + 10296 - 3432 - 3436 - 3433. Give d*g(z) + 5*o(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151 - -306?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8317 - -8457. Which is smaller: 162 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1630 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -60. What is the highest common divisor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 15 = -9*p. Suppose -3*r - k = -7, -6*r + p*r + 11 = -k. Solve -r*d = -8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 + 2)\/(-2 - -3). List the prime factors of h - -49 - (1 - 4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444867617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:02 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -14cb93?\nAnswer: -14cb8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 305272151*d**3 + 1460019*d**2 - 19 wrt d.\nAnswer: 1831632906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 16 - 4 = n, 3*n - 4*t = -2. Let r be 3*5\/(-3)*-2. Suppose n*q - r = q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6844 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34969116 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 913667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 618 = 3*b + 5*a, 3*b + a = 630. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-50))\/((-345)\/92*(2\/25)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.342 - -0.242. Let r = 3 + -2. What is the nearest to s in -5, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.49 - -39.51. Let x = -38 + o. Which is the third biggest value? (a) 6 (b) 0 (c) 4\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + 24?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 13*k**6\/60 - 25*k**3\/3 - 7*k**2. Differentiate z(d) wrt d.\nAnswer: 78*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1227*h = -1239*h + 36. Let l(c) = -3*c**2 + 2*c - 6. Let y(r) = 4*r**2 - 3*r + 7. Let w(z) = 3*l(z) + 2*y(z). Give w(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 - 106. Does 37 divide (21728\/49)\/v - (-1)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -129*a + 135*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcay when four letters picked without replacement from {a: 5, j: 1, l: 3, y: 1, c: 1, f: 1}?\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6\/(-10) + (-72)\/180)*-1823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120 - -277. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 9 - 1)*(8*k - 2*k - 2*k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 + 1. Let h be (0 - 6\/9)*(-6)\/16. What is the smallest value in v, h, -2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61246*p**2 + 61246*p**2 + 6*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 90 = 5*o, o - y = -4*y + 22. Let t = -9 + 18. Calculate the remainder when o is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 - ((-100)\/(-36) - -2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(252\/14)\/18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2110221 (base 3) to base 7\nAnswer: 5161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 85065.77 micrograms?\nAnswer: 85065770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1558, -65\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 285122767 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113, 902, 2343, 4418, 7109, 10398?\n\"Answer: -3*g**3 + 344*g**2 - 222*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3835204*3.\nAnswer: 11505612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x - 4*i = -664, 0 = -5*x - i + 850. Suppose 2*w = -w + x. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8085 at most 8092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.041363? (a) -0.2 (b) 2\/3 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54979, 55549, 57115, 60175, 65227, 72769?\nAnswer: 83299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-91055)\/(-35) - (30\/126 + (-3)\/(-9)). Which is greater: 2600 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = 4*v + 65 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7837037053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -55. What is the remainder when 115 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 157*n**2 + 332*n + 162. Let k(y) = 12*y**3 - 1728*y**2 - 3652*y - 1784. Let o(x) = 3*k(x) + 32*l(x). Suppose o(m) = 0. Calculate m.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 17. Suppose 0 = -5*f - 0 + 15, -h + 4*f + 21 = 0. Calculate the remainder when h is divided by q(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80237 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/150 - m**4\/20 + m**2 + 31*m. Let l(d) be the first derivative of b(d). Factor l(j).\nAnswer: 2*j*(j - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 13\/(-2 + 5765\/2885) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 23*j - 1260. Let z be r(55). Suppose 2\/17*w**z + 0*w + 2\/17*w**4 - 2\/17*w**2 - 2\/17*w**3 + 0 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7bb260 - 1?\nAnswer: -7bb261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c - 2. Let w(l) = -31*l**2 - 4. Calculate h(d) - w(d).\nAnswer: 30*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 14*q**2 + 28*q - 16.\nAnswer: 2*(q - 4)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001817 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + (-6)\/(-9). Let t = 53 - 33. Let p be 1\/4 - (-95)\/t. Solve k = 5*r + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (-5 - 4)) - (0 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -296023.\nAnswer: -59204.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8 and -31\/74980?\nAnswer: 149960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -695 bigger than -695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b. Let u(w) be the first derivative of -2*w**3\/3 - 2*w**2 - 8*w + 58. Let z(a) = -a**2 - a - 2. Let g(c) = -3*u(c) + 12*z(c). Determine o(g(k)).\nAnswer: -78*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w**2 + 1. Let j(d) = 12*d**2 - 1. Let m(i) = 6*j(i) + 7*n(i). Determine m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9721 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate z + 29 - 13*z + 12*z - 44*z**3 wrt z.\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -16.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*(-15)\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i**5\/9 + 176*i**4 + 25031*i**3\/9 + 22604*i**2\/3 + 51452*i\/9 + 2368\/3 = 0. Calculate i.\nAnswer: -74, -16, -2, -1, -3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 3, u: 5, k: 3, o: 3, c: 3}. What is prob of sequence ur?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*y + y + 420 = 0, -5*y = 0. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*-2*(-1)\/4. Let s = 3 - m. Solve -4*f + 1 + 20 = t, 3*f = 3*t - s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*j**3 + 393*j?\nAnswer: -210*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 34. Let m(y) = 24*y**2 + 3*y - 1. What is the remainder when m(o) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*5\/((-7)\/(63\/(-9)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900471 rounded to the nearest ten thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 65903186 and -15.\nAnswer: 65903171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 7. Suppose -8*p + 22 = 14. Let o = p - 4. Let b(d) = d + 10. Let k(c) = 1. Let a(r) = -b(r) + 6*k(r). Give o*l(z) - 5*a(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 16 + 14, 0 = 4*y + 4*z - 4524. What is the remainder when y is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.1 - 4.52. Let m = z - -0.02. Let c = 0.08952 - -0.11048. Sort -0.1, m, c.\nAnswer: m, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*z - 10. Suppose -4*m + r + 5 = 0, 3*m + 5 = -2*m + 5*r. Let o be (-11 - -9)*(-33)\/m. Calculate the highest common divisor of o and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 456*v**2 + 15058*v + 253. Calculate z(-33).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - (sqrt(20)\/sqrt(4) + 2))) + 4 + sqrt(5) + -1 + 5 + (sqrt(20) - (-3 + sqrt(20)))**2.\nAnswer: 2*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 8 - 6 - 2*n**2 to s*n + y*n**2 + c and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 4 - ((-2 - 3) + 10 + -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.233 - -10.67. Round z to 2 decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -441 (b) -7.5 (c) 2\/7 (d) -1\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0128 and 6.\nAnswer: 5.9872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3.71, -9\/4 in descending order.\nAnswer: -9\/4, -3.71, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 65 - 23*l**2 - 4*l**2 + l as w*l + h + x*l**2 and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3 + 8820*z**2 + 6482700*z + 1588261500 = 0. Calculate z.\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 1, p: 2, z: 2, q: 2}. Give prob of sequence upz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 21*i - 2*i. Differentiate -16 - 4 + 661*x**i - 787*x**4 wrt x.\nAnswer: -504*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16308\/20 + ((-8)\/(-10))\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6f8 (base 16) to base 15\nAnswer: 7de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, f: 2, c: 1, r: 2}. Give prob of picking 1 c and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 30 = 3. Suppose -5 + 2 = 3*w, 0 = -2*f + 2*w - 42. Let j = i - f. What is the greatest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216398318.\nAnswer: 2, 108199159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -11 + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. What is the third derivative of 5*v**2 + 23*v**4 - 4*v**j - 22*v**4 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.5. Let s = -7 + 6. Let a = -2.8 - -3. What is the second smallest value in a, s, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.36. Let n = -0.5 - v. Which is the biggest value? (a) n (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 457*q - 346*q - 57.\nAnswer: -803*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -187155 minus 0.3?\nAnswer: -187155.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(1 - (-16)\/(-6)). Suppose -6*b = -q*b + 56. Calculate the highest common factor of b and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*d - 27*d + 203. Suppose o = -4*u - 54, -47 = -2*o + 4*u - d. Let c = o + 118. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c = -48*c + 11112. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755899868 a multiple of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -6 - (-6 - -19 - (4 + -4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, p: 8, q: 1, b: 3}. Give prob of sequence pcpc.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -4489, -8504, -12521, -16540, -20561?\nAnswer: -24584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*c - 20 = -4*s, -4*s + 5*c = -14. Let j be (s\/14)\/(3\/21). Solve h = j - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 2*p - 4, -4*p - 12 = 9*j - 8*j - 31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 10) to base 13\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 110. Suppose -2*d - 8 - 4 = 0. Let n be d\/(-8) + p\/(-64). Is n equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*n - 25, 4*n - 34 + 14 = -5*y. Solve -2*z - 12 = -7*x - z, 5*x - z - 10 = y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 98. Give u(232).\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230, -1, 5, -25 in decreasing order.\nAnswer: 5, -1, -25, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (224\/(-2))\/(0\/4 - -1). List the prime factors of g\/(-3*2\/42).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4404.19 centuries in decades?\nAnswer: 44041.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4*a + 0*a)*(-2*a**2 - 2*a + 2*a) - 7*a + 7*a**3 - 4*a**3 + 12*a.\nAnswer: -a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = 96*p - 2420. Calculate the greatest common divisor of 145 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17 - -39) + (3 - 4) - 3 - 9) + 23\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 76 = 2*b - 5*b, p - 5*b = -45. Calculate the common denominator of 35\/4 and (-114)\/p*(-15)\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n - 23*n - 6*n + 52*n - 76. Determine g(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11275*p - 3765*p - 3744*p - 190*p**2 - 3751*p to the form t*p**2 + d*p + f and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 17*v - 50 = 0. Solve 4*w - 1 = 4*b + 3, -v*w + 16 = 5*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 92 - 42*s - 294 + 105.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o**3 - 7*o**2 + 381*o + 385. Determine j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 14*c**3 + 7. Let t(w) = w**3 - 1. What is l(j) + 5*t(j)?\nAnswer: 19*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)*u*(u\/u**(-6\/11))\/u*(u**(3\/8))**4 assuming u is positive.\nAnswer: u**(-219\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 + 10 = -66*p + 422. Let n(u) = u**3 - 5*u**2 + 4*u + 3. Let j be n(4). Solve j*l + 2*l = -p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42180335 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 2 w when four letters picked without replacement from {d: 1, h: 6, w: 2, u: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/36 + (-56)\/9. List the prime factors of 7 - (-3)\/c*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3755400, 3755331, 3755234, 3755103, 3754932, 3754715, 3754446?\nAnswer: 3754119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -1*6\/1. Let l be (2\/(-7))\/((-1)\/7). Suppose -b = -c*b - m + 25, -3*m = -l*b + 24. Solve -4*u + b*u = -15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -5*j**4\/12 - 125*j**3\/3 - 597*j. Factor z(a).\nAnswer: -5*a*(a + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83235\/(-279))\/(-179)*117\/3.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 1170.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 4. Let l = -2 - g. Suppose 5 = -4*d + r + 8, 0 = 4*d - 2*r - 6. Solve -l = 4*n + 3*h, 5*n + 6*h - h + 10 = d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + (4 + sqrt(147)*-1 + sqrt(147))**2)*-2 + -3*sqrt(48)*-3*6.\nAnswer: -32 + 202*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 2. Which is smaller: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 26 + 107 = 21*n - 13*g, 0 = 5*g + 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(((u\/u**3)\/u)\/u*u))*u))**(-18)\/((u*u**12*u)\/u*u*u*u\/u**(-8)*u))**(-3\/23) assuming u is positive.\nAnswer: u**(237\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/8 + 20\/80. Solve 0*x - 2*x + y = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 724*p**2 - 1252*p**2.\nAnswer: -1976*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3))**15*(s*s\/(s**5*s*s)*s*s)\/s**3*(s**(-3)\/(s**(-5)\/s))\/((s**(-2\/5)*s)\/s**(-2\/5)) assuming s is positive.\nAnswer: s**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -545*c + 36. What is m(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7949*z + 7944*z - 22 = -2*c, 5*z + 2*c = -18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 19*x - 23. Let h be b(-7). Let v(w) = -2*w + 26. What is the units digit of v(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1201204 - 1201269.9807. Let k = s + 66. Round k to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7940 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -208933\/282325 + 1\/22586. Find the common denominator of 123\/20 and h.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014423 (base 5) to base 3.\nAnswer: -1122120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 767406434 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 33680 divided by -842\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 10 + 6 - 9 + 4*o as l*o + v and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -2\/25 (b) 16.5123 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 - -397. Let h = m + -99. What is the derivative of -h*p - 35 + 31*p + 25*p**4 wrt p?\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 5*w = -11*b + 32, -5*b - 10 = 5*w. Let l(p) = 3*p + 25. Let j(c) = 1. Let t(g) = 4*j(g) - l(g). Let k be t(b). Solve k*d - 1 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3\/5 + 168*x**2\/5 - 432*x\/5 - 62208\/5 = 0.\nAnswer: -16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1913 + 5084. List the prime factors of m.\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -11*y**2 - y. Let p(j) = -5*j. Give d(p(v)).\nAnswer: -275*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + 0*l + 0*l)*(4 - 4 - l - l + 2*l - 3*l + l + 3*l - 2*l + (0 - 1 - 1)*(-3*l + 2*l + 3*l) + (3 - 2 - 4)*(l - 3*l - 2*l)).\nAnswer: 21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1484, -13, 0.3 in decreasing order.\nAnswer: 0.3, -1\/8, -13, -1484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let b(l) be the second derivative of l**3\/3 - 9*l. Calculate b(r(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*i - 1 + 18 - 2 as a + j*i and give j.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**3 - 9*c**2 - 7*c - 2. Let h(j) = 9*j**3 + 20*j**2 + 15*j + 5. What is -2*h(f) - 5*k(f)?\nAnswer: 2*f**3 + 5*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 155524 (b) -2\/7 (c) 5 (d) -7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*b**5 - 3*b**4 + 15777*b**3 - 116928*b**2 + 6*b - 1 wrt b?\nAnswer: 2220*b**2 - 72*b + 94662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 0 - (-5 - 0). Let a(x) = -9 - 8*x**2 + 11 + r*x**2 - x**3. Is a(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -116, 7.4 in decreasing order.\nAnswer: 7.4, 7, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 46 + -32 + -17\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423153 is divided by 11477.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + 10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 6\/41 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-6)*3*((-266)\/19)\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38313*o**2*t**3 + 3*o**2*t**2 + 3*o**2 + 8*o*t**3 + 4*o - 217*t**2 wrt o.\nAnswer: -76626*t**3 + 6*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**3 + 8*d**3 - d**4)*(-3*d + 2*d + 0*d) + (-14*d**3 - 3*d**4 + 14*d**3)*((4 - 3 - 2)*(2*d - 3*d + 2*d) + d + 0*d + 2*d).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {o: 5, s: 1, p: 9, i: 5}.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 4, a: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1324608 and 4415360?\nAnswer: 13246080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 + 32*g**2 - 16*g + 18. Give t(11).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**3\/3 + 15*h**2\/2 + 6*h + 1849. Calculate q(10).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522385 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12598.\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 r when four letters picked without replacement from iyrhhihhdhhwihrh?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 436.5 + -1163. Let o = l + 727. What is the biggest value in o, -0.051, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/(5\/(-520)*(-5456)\/(-2046))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47960480 divided by -8\nAnswer: 5995060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22924 + -48?\nAnswer: 22898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 - 78284*l**2 - 52844384*l - 105375664 = 0.\nAnswer: -18871, -698, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177276 and 6778200?\nAnswer: 115229400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1028 + -108. Suppose 0 = -4*o - 212 + x. What is the tens digit of (-2)\/(-2 - (-348)\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*4\/6 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6081372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 5222?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 313700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -2*a - 1. Let x = a + 60. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 1. Let t be u(2). Let c(k) = 4*k - 1. Let a(p) be the second derivative of -p**3\/2 + p**2\/2 + 8*p. Determine t*a(v) - 4*c(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -96*j + 7190. Let y be p(75). Which is the closest to 57? (a) -5 (b) y (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/6823535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1 (c) -2\/13 (d) 2\/33 (e) -6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -1 + 2 - -3. Let c = 4 + h. Let z = c - 6. What is the smallest value in 0.07, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/3 - 34*i**4\/3 + 62*i**3\/3 - 10*i**2 = 0 for i.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 124\/(-12) - 15\/(45\/(-4)). Let x(g) = 6*g**2 + 2*g - 2. Let f be (0 - 0) + (-4)\/(-2). Let y(q) = 24*q**2 + 9*q - 9. Give b*x(r) + f*y(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410 (base 8) to base 2.\nAnswer: 100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iniwzdwiizzninin. Give prob of sequence dw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 616. Suppose 0 = 5*s + v - 4. Let l be (2\/(-10)*8)\/(2\/s). What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4891961 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006706 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 1, l: 1, j: 9, f: 1}. What is prob of sequence ljm?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/3435 and 11\/21.\nAnswer: 24045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsy. Give prob of picking 1 s and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/33 and -169\/4080912.\nAnswer: 4080912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1340)\/260 - (-30)\/195\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by (-4 + -7)\/((11 - 5)\/(-48)).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:20 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 33511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/87, 1307, -5, -2, -9, 2\/3, 3?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*z = -1054 - 938 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.150529 in -0.1, -2, -0.2, 1\/5, -58, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = o - 2*t - 675, -t - 2757 = -4*o. Is 3 + o\/(-3)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -5 (c) 128 (d) -0.428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 8. Let p(d) = 42*d**3 + d**2 - 2*d + 1. Let r(k) = 2*k - 3. Let b be r(2). Calculate the smallest common multiple of v(12) and p(b).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503474 is divided by 659.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 4. Let f(k) = 7*k + 8. Let z(w) = 3*f(w) - 5*u(w). Let h(q) = -q**3 - 4*q**2 + 2*q + 5. Let p be h(-4). Let x be z(p). Sort 4, x, -5.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2\/21 + 856*i + 35928\/7 = 0.\nAnswer: -8982, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 11*j**2 - 1142*j - 4643. What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7906, 31591, 71030, 126193, 197050, 283571, 385726, 503485?\nAnswer: 636818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -3060083\nAnswer: 30\/3060083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1571, 3145, 4719, 6293, 7867?\n\"Answer: 1574*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 - 5*w - 12. Let z be p(5). Suppose -z = -3*c + 11. What are the prime factors of 30\/(-40) - (-750)\/c?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-401 - -408).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 20 = -12*f, 4*z + f = 20. Solve 6 = -4*i + 5*p, -i - 2 = -z*p + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38, -41, -44, -47, -50, -53?\n\"Answer: -3*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 10*m**2 + m - 3. Let i be z(10). Suppose -i*t + 68 = -3*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-12)\/(-504) + ((-20)\/50)\/((-644)\/(-40)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675*u - 23969 = 9531 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000641630.\nAnswer: 2, 3, 5, 661, 50461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 117*m - 138*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11170541 divided by -1\nAnswer: 11170541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:01 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/130*6\/((-7)\/((-49)\/(-21))).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 + -0.33. Let i = -6\/145 - -749\/580. Which is the second smallest value? (a) i (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443255669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.774 and 1618.3.\nAnswer: 1617.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2822359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6382717 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117552 divided by -117552?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*k**2 + 0)*(6*k**2 - k**2 - 4*k**2 + 2*k**2 - k**2 + 0*k**2 + (k + k - k)*(-3 + k + 3) + 4*k**2 + k**2 - 3*k**2 + 3*k**2 - k**2 - 4*k**2).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/27 + 5 + (-595824)\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4 take away 18987?\nAnswer: -18974.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cch when three letters picked without replacement from {x: 1, c: 3, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 1\/30*n**5 + 0*n**4 + 0 + 2*n + 4*n**2 + 0*n**3. Factor i(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6227?\nAnswer: -6227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1216, -1175, -1108, -1015, -896, -751?\n\"Answer: 13*v**2 + 2*v - 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -9 in decreasing order.\nAnswer: 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 4*v + 2. Let k be y(4). What is the second smallest value in 1\/3, -3\/5, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/47 (c) 324\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 2, p: 2, q: 2}. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 = -19*j + 2958. What is the greatest common divisor of 111 and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-41)\/(-164) + -10*9\/8. Let x(q) = 26*q**3 + 15*q - 11. Let b(o) = -o + 1 + 1 - 2*o + 2379*o**3 - 2384*o**3. What is l*b(m) - 2*x(m)?\nAnswer: 3*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -11433234033?\nAnswer: 11433234031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 16 - ((30 - 25) + -115)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33396 divided by -8349?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 41 + 49 - 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.1962 millennia to months.\nAnswer: 6986354.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 155.5 and 945101.\nAnswer: 945256.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 3*b**3 - 2*b**3 - 2*b**3 + 2 - 2 + (1 - 1 - 1)*(-3*b**3 - b**3 + 3*b**3).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6\/(k\/((k*k\/((k\/(k*k*k**(-6))*k*k)\/k*k))\/k))*((k**(-5)*k*k)\/k)**(-18) assuming k is positive.\nAnswer: k**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3598954897 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.12768 and -0.1.\nAnswer: 0.912768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4)**(21\/5)*(j**1)**(-29) assuming j is positive.\nAnswer: j**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 4) to base 6.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -1\/12*g**4 - 2*g**2 + 0 + 0*g + 1\/3*g**3. Let j(i) = 3*i - 3. Let o be 13\/(-4) - 1\/(-4). Determine o*j(x) - 5*d(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*-1*0. Let h(i) = -4*i + i + u*i. Let t(q) be the first derivative of -q**2\/2 - 2. What is h(t(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -863.\nAnswer: -5\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/18 + 223*w**3\/9 - 224*w**2\/3 + 83*w - 4. Find r, given that g(r) = 0.\nAnswer: -224, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**5 + 5*w**5 + 3*w**5 + (-w + w - w**4)*(2*w - 2*w - 2*w)*(-5 + 2 + 4).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 0 - 3219*f + 1 + 8 + 5*f - f - 3*f - 2*f + 0*f + 0*f + 2*f + 0*f - f + (-3 + 0 + 5)*(2 - 2 - 2*f) - 2*f + 2*f + 2*f to w + u*f and give u.\nAnswer: -3221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 3.7. Which is the third biggest value? (a) 3\/4 (b) -5\/6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3284328 and -89\/210.\nAnswer: 114951480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.22441961 rounded to 2 decimal places?\nAnswer: 80.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 7210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000068684945 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-162)\/(-90))\/(((-24)\/(-30))\/(-4)). Sort 2\/11, 4, 17\/5, z in ascending order.\nAnswer: z, 2\/11, 17\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2201 and -26\/93.\nAnswer: 6603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 967 = -321. Let h = j + 61. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/14502 and -31\/8.\nAnswer: 58008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342483353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2433 (b) -3\/2 (c) -3\/8 (d) -2\/5 (e) -0.5 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62866765, 125733528, 188600291, 251467054, 314333817, 377200580?\nAnswer: 440067343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 303*k**4 - 3*k**3 + 61*k - 305*k**4 + 211 - 209 in the form s*k**4 + o + p*k + c*k**3 + m*k**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3302, 6606, 9914, 13226, 16542?\n\"Answer: 2*n**2 + 3298*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-15)*(1 + 0). Suppose 0 = -4*j + 2*r + 58, 2*j + 2*r - 13 - 13 = k. Calculate the remainder when 54 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 + 2.49. Let j = -8.2 - w. Let v = 10.7 + j. What is the biggest value in v, 0.02, -0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61.90114 and 156.\nAnswer: 94.09886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 4. Let j be (g + -2)\/(-2) + 0. Let m = -13 - -11. Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 6, q: 4, k: 1}. What is prob of sequence eqq?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 - 3*j**2 + 4*j**2)*(j - 2*j - j) - 2*j**3 - j**3 - j**3 - 5*j**3 + 6*j**3 + 2*j**3 in the form f*j**3 + y*j + a*j**2 + h and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 8?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*1\/(0 - -1). Let j be l + 4*(-12)\/(-16). Let i be (6\/5)\/(j\/(-15)). What is the greatest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1262 by 5125.\nAnswer: 1262\/5125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 810974\/128 + ((-20)\/(-4) - 7). Let x = q + -6335. Find the common denominator of 59\/5 and x.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 m, and 1 a when four letters picked without replacement from {a: 4, m: 6, h: 7}?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v - 192. What is the smallest common multiple of 294 and c(42)?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 22*s - 5. Let p be h(-7). Solve 4\/3 + 2\/3*w - 2\/3*w**p = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 35 = -15*a. What is the common denominator of -2 + 1 + 182\/a and 100\/(-33) - 1\/3?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -11 - 1, -5*h + 29 = 3*t. Suppose h*g = 3*l - 6*l + 2, 0 = 3*l + 3*g - 3. Find the second derivative of -l*n**4 - n**4 + 4*n**4 - n wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**4*r**3 + 148*q**3*r**3 - q**3 - 2*q**2*r**3 + 2*q**2*r**2 + 1426*q*r**3 wrt q?\nAnswer: -72*q*r**3 + 888*r**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (7 + 5 + -3 + -3 - -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222828 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 95 - 23. Let v be o\/22 - (-2)\/11. Let f be (-2)\/9 - 90\/(-405). Solve f = -n - 1 - v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1102?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13143119*u**3 - u**2 + 7265492*u - 2 wrt u.\nAnswer: 78858714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103133 (base 4) in base 13?\nAnswer: -74c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 495 + -1083. Let o = 587.999235 + z. What is o rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139439995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c - 277. Let f be u(20). Solve -f*l = 9, -1 = -4*w + 5*l + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 + -0.02. Let y(w) = 12*w + 81. Let s be y(-7). Which is the second biggest value? (a) z (b) 4 (c) s (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 8*l = -4*l - 133, -5*o - 5*l = -130. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 1 = 2*v. Suppose 3*i + i = -120. What are the prime factors of 77\/5 - v\/i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) 1 (c) 5.045 (d) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfmfmmhfhf. Give prob of picking 2 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - 6*-1*sqrt(99)) + sqrt(99))\/(2*2*sqrt(9)).\nAnswer: 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppfyfyfpyypfy. Give prob of sequence yyyf.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (8 - (4 - 3))) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 65*g - 10741. Calculate u(123).\nAnswer: -2746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13263764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 3, -4, 1417 in increasing order.\nAnswer: -39, -4, 3, 1417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieee when four letters picked without replacement from iieiiiieiieiiii?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:14 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -31. Let q = 11 + k. Suppose q = -4*i - c + 113, -i - 2*c + 15 = -15. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 - 699*m - 448. Give q(100).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 + 13625232*u + 40875660 = 0. What is u?\nAnswer: -3406305, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817439 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1061939 rounded to two dps?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18993149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25\/21, 0.3, -5, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4957196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/(-98)*28\/(-8)*138\/162 and -55\/2912?\nAnswer: 26208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8254723033?\nAnswer: 19, 89, 4881563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10256, 20648, 31040?\nAnswer: 41432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*0\/2. Suppose c = f - 2*f. Let s(n) = -n**3 + 6*n**2 - n + 7. Let h be s(6). Sort h, -4, f in descending order.\nAnswer: h, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53779391 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g**3 - 6*g**2 - 8*g. Let n be x(-2). What is the greatest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -4*n**6\/9 + 16*n**5\/5 - 37*n**4\/6 + 14*n**3\/3 - 4*n**2\/3 - 13. Solve a(s) = 0.\nAnswer: 0, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 24 = 5*l, 0 = -l - l + 4*o. Let j(c) = 55*c**2 - 65*c - 65. Let p(f) = 5*f**2 - 6*f - 6. Determine l*j(i) + 65*p(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 13. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = -4*g + 6, 0 = -3*g + 15. Let i(m) = -m**3 - 7*m**2 - 2*m - 9. Let p be i(-7). Which is the smallest value? (a) q (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-57 + 46 - (0 + -5)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 12\/15)\/(66\/55). Let j(u) be the third derivative of -1\/120*u**6 + 0*u**5 + 0 - 5*u**2 + 0*u - 1\/24*u**4 - l*u**3. Determine j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/4 of a millisecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n*n\/n**(-6\/13))\/n*n**(-10\/3) assuming n is positive.\nAnswer: n**(-34\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + (0 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38, -3, 0.2, -4\/3, 0.4, -296?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 428566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365219 and 2846707.\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 2*f**3 - 3*f**2 + f. List the prime factors of t(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 1\/7 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2369 - -2369.1. Let n = 348 - 4526\/13. Let f = 0.029 + 0.271. What is the nearest to z in 1, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/9 and -4\/49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682564 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 14*f**2 - 18*f + 9. Determine n(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -139 + -12?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**4\/6 + 2*w**3\/3 - 55*w**2. Let v be ((-20)\/2 - -10) + -2 + 4. Let k(m) = -3*m + 3. What is v*b(j) - 3*k(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bebp when four letters picked without replacement from {h: 5, e: 1, p: 1, b: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -76. Let j(x) = -2*x**2 - 2*x + 1. Let k be j(4). Let i = t - k. Calculate the highest common factor of 147 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:03 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32116 + 5?\nAnswer: -32111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**2*m*r**3 + 7*i**2*m*r**2 + i**2*m - 2*i*m - 42*i*r**3 - i*r**2 wrt i.\nAnswer: 6*m*r**3 + 14*m*r**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let w(h) be the first derivative of 7*h**2\/2 - 2*h + 81. Calculate p(w(j)).\nAnswer: 7*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*t - 319 = -329, -2*p - 3*t = -8. Which is the closest to p? (a) 1\/8 (b) 0.4 (c) -0.01 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 85*s**2 + 265*s - 85. Let g be m(88). Solve z - 8*r + 10*r = -6, -5*z - g*r - 9 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 12. Find the common denominator of 1 - 1\/((-4)\/(-13)) and 2 + a - 101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*a**2 + 9 - 13 - 2*a**2.\nAnswer: -382*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 569.7615 minutes?\nAnswer: 34185690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 42, -273 in decreasing order.\nAnswer: 42, 0, -1, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/157705 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77.6455 + 77.6. Round m to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - 1154*t - 16000. Determine v(-14).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.062713169 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-21 + 3 + 21 - (9 - 1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 428 + -427.6. Let j = -3.3 + 3. Which is the closest to -2\/3? (a) f (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22122 by -3687.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/442 (b) 0.4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(121) + 1*sqrt(121)) - (sqrt(121) + -3*sqrt(121)*-5 - sqrt(121)))\/((sqrt(66)*-2*-4)\/(sqrt(6) + -2*sqrt(726))))**2.\nAnswer: 3536379\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0318 + 0.1318. Is -53 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 2*z**2 - 8*z + 18. Let w be b(0). Suppose -w = -59*i + 56*i. Calculate the greatest common divisor of 174 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + (-6 - -2) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -264*h**3 + 276*h**2?\nAnswer: -1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -31*u**2 + u + 55. Let n(c) = -108*c**2 + 3*c + 164. What is 21*h(b) - 6*n(b)?\nAnswer: -3*b**2 + 3*b + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 78162803?\nAnswer: 78162802.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.22050481 + -74.72050757. Let p = -46.5 - d. Round p to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/1*8*(-4)\/96.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.8 and -17363.\nAnswer: 65979.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 665989720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Let r(x) = 62968210*x**2. What is l(r(k))?\nAnswer: -7929990941208200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 - 0)\/(2\/(-10)). What is the lowest common multiple of 6\/(-21) + 7\/((-49)\/r) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 + 2*y + 12. Let c(z) = -z**2 + z + 1. Let q be (-4)\/(8\/(-10)) + 0 + -1. Let a(u) = q*c(u) - o(u). Let m(g) = 1. Determine a(s) + 6*m(s).\nAnswer: s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587307 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -229 + 220 - (0 - 1) - -13. Solve 17 = x - w*s, 23*s - 24*s - 13 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/(-50) - 1545328\/(-1989510). Let t = 2\/2397 - w. Which is the nearest to 0? (a) t (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:37 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101617 by 15.\nAnswer: -101617\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**8\/840 - b**5\/120 - b**3\/6 - b**2. Let d(y) be the first derivative of u(y). Find the second derivative of d(k) wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20101\/2821 + 7\/403. Let n = y + -48\/7. Let x = -84 + 424\/5. Put 3\/2, n, x in decreasing order.\nAnswer: 3\/2, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1188769 + -1188769.01700047. Let t = 0.307 - 0.29. Let f = t + b. Round f to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1) + 0 + 0 - (2 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/150285 and -51\/860.\nAnswer: 601140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(1\/3)\/c))\/c**3*(c*c\/(c**(-1)\/c))**(-15\/2) assuming c is positive.\nAnswer: c**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55836, -223137, -501972, -892341, -1394244, -2007681, -2732652?\nAnswer: -3569157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104971670 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 136?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*q**6 + 32771*q**4 + 7*q**2 + 262*q + 10.\nAnswer: -840*q**3 + 786504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000010011001101101 (base 2) to base 12.\nAnswer: 8573a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + -1 + 23 - (3 - -3)\/3. Let v(k) = 29*k - 231. Give v(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r. Let s(h) = -177*h**2 + 146*h**2 - 2 - 77*h**2. What is c(s(n))?\nAnswer: -324*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3 = -c. Let g = 28 + -20. Let j(r) = 7*r**2 - 8 - 10*r**2 - 8*r - 11*r**2. Let v(n) = -5*n**2 - 3*n - 3. Calculate c*j(k) + g*v(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.008 - -32.992. Let t = 32.99976 - h. What is t rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-8)*j\/(j*j\/(j*j*j**15)))**31*(j\/j**(-1\/3))\/j**(1\/4)*(j**(-1))**(-7\/6) assuming j is positive.\nAnswer: j**(3109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6 + 24. Suppose 0 = 5*t - 2*d + 50, -4*d - d - 25 = 0. Let q = t - x. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - f - 21*f**3 + 23*f**3 to the form x*f**3 + d*f**2 + w*f + a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 7. Let i(z) = -z**3 + 4*z**2 + 7*z + 1. Calculate the smallest common multiple of i(5) and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 1. Let p = -5 - y. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c**2 - 6. Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (341 - 716 - 336)*((-2*n - 4*n + 5*n)*(n + 3*n - 2*n) + 18 - 11*n**2 - 18)*(1 + 2*n**2 - 1).\nAnswer: 18486*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 3*k - 4. Let r(y) = y**3 - 11*y**2 + 8*y + 23. Let w be r(10). Let x(i) = -i**2 + i - 2. Give w*f(b) - 7*x(b).\nAnswer: b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25ab008 (base 13) to base 6\nAnswer: -1101201340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -232?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 + 940. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/45 and 26\/1925.\nAnswer: 17325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1463 and 22102073.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 22. Let u be z(-7). Suppose -7*o + u = 1. Let n = -0.3 + 0.8. What is the smallest value in 5, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1218.\nAnswer: 121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 444, 844, 1174, 1434, 1624?\n\"Answer: -35*q**2 + 505*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 = -2*f - 2*t, -5*f + 29 = t. Sort 1, -5, f in descending order.\nAnswer: f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = -12. Suppose -n*j + 4*g = j - 8, 5*j - 17 = -2*g. Let o = 1231 + -1221. Solve -2*r - r + o = 2*y, 15 = j*y + 4*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**(-5)*z**(2\/9)\/z*(z*(z\/(z\/(z*z**(-4\/7)*z*z)))\/z)**(1\/10) assuming z is positive.\nAnswer: z**(4073\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -h - 0*h. Let a be 0\/(9\/(-6)*-2 - 0). Let b = h - a. Calculate the remainder when 24 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16349*t**2 + 2676*t**3 + 8*t - 8*t - 13368*t**2 wrt t.\nAnswer: 16056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*z + 7043 = 0, 4*j = -z + 23591 + 4563. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -39*a**2 - 5*a + 1. Suppose 6*b + 135 - 111 = 0. Is o(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2847*w**2 - 696*w**2 - 3272*w**2.\nAnswer: -6815*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 - 105. What is the third derivative of -4*u**2 + 26*u**5 - 33 + 41*u**3 + 3*u**2 + 35*u**b - 28*u**5 wrt u?\nAnswer: -120*u**2 + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10020 (base 3) to base 5\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03759 times 5.355\nAnswer: 0.20129445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 51)\/(-13 - -16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485226.\nAnswer: 2, 3, 7, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 3*(-6)\/(-27). Let j = b + -1\/2. Let p = -2 - -2. What is the closest to 0.1 in p, 0.5, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18836 and 561?\nAnswer: 621588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -33?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f**2 - 4. Let m(l) = 23*l - 1476. Let j be m(64). Let k(q) = 66*q**2 + 21. What is j*k(b) - 21*d(b)?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200205 and 2695.\nAnswer: 107910495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 6*b**2 + 9*b - 7. Let o be y(7). Let k(n) = 4*n**2 - 7*n - 9. Let i(g) = 2*g**2 - 3*g - 4. What is o*i(m) - 3*k(m)?\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 312*a - 337*a - 175 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15430, -15239, -15048?\n\"Answer: 191*o - 15621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 5. Let f(x) = x + 3. Let a(o) = 5*f(o) + 3*h(o). Let s(m) = 5*m + 1. Give 6*a(k) - 2*s(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77589722?\nAnswer: 2, 7, 1013, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o*o**(-5)))\/o))\/(((o\/(o\/o**(1\/7)*o))\/o)\/o)*o**(1\/2)*o\/((o\/o**(-6))\/o))\/((o*o**(1\/2))**(3\/13))**22 assuming o is positive.\nAnswer: o**(-2231\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158137 - 25.5895.\nAnswer: -158162.5895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 16*g + 5*g - 6 to f*g + r and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/3)\/(530614\/(-251)))\/((-2)\/7*1)?\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -1.6. Let r = 7 - a. Let d = r + 0.59999986. Round d to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -161. Let f = 128 - -27. Let k = s + f. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(4\/(-5 - -1)). Which is the nearest to 0.2? (a) 4 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1476, -5807, -13024, -23127, -36116, -51991, -70752?\n\"Answer: -1443*r**2 - 2*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -488?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 12 = -f + 3, z = -f - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1079084, 1079087, 1079090, 1079093, 1079096?\n\"Answer: 3*v + 1079081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/18 + 70\/(-20). Sort k, -1, 142 in increasing order.\nAnswer: k, -1, 142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 + 116302*y - 116717*y - 188.\nAnswer: -415*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**2 + 4*i**2 - 22*i**2 - 2*i**3 + 4*i**2 - 80*i as m*i**3 + n*i + p*i**2 + f and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.952806 centuries?\nAnswer: 495.2806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 0*c**4 - 1864*c + 2*c**2 + c**2 + 1944*c - c**4 + 0*c**4 in the form j*c**4 + k*c + u*c**3 + g + z*c**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**33)**49 assuming y is positive.\nAnswer: y**1617","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641323 is divided by 308?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1806608 by 1806608.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/10*(-94 - -99)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/6, 0.774, -3, 0.01?\nAnswer: 0.774","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 3\/7, -5, -3\/5.\nAnswer: -5, -3\/5, -0.11, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12332 - -23179. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/20 + 5*h**4\/12 - 5*h**3\/6 - 7*h**2\/2 - 20*h. Let d(z) = -3*z**2 + 3*z + 4. Determine 5*d(w) + 3*j(w).\nAnswer: 3*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3325 and 875?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 584*k + 3.\nAnswer: -584*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/4 - (-3 - 27\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 149 = 3*p. Let s be 4 + (-1 + p)*(-10)\/(-4). Is ((-1)\/3)\/(s\/(-411222)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from gllgplgoppppgpll?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 4. Let q be j(-17). Let o = 31 + q. Solve 2 = m - 5*i - 3, 5*i - o = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*h + 268*h - 1040 = 0. Calculate the greatest common factor of h and 1264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/6)\/((-2)\/(-3)). Let b(c) = -c**2 - 48*c - 210. Let h be b(-41). What is the first derivative of h - 83 - m*a - a**2 + 2*a wrt a?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -569.36089 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6089102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.9134 litres in millilitres?\nAnswer: 444913.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1938.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.98066 to zero decimal places.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 3\/2, -0.74, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (2 - (-140)\/(-50))*5)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 3*j + j = 270. Solve -72 = j*p - 207 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 25*h - 5 = 0. Sort 0, h, 3, -3 in increasing order.\nAnswer: -3, 0, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y. Let s = -31 - -31. Let p(i) = 4*i - 5*i - 5*i + s*i. Calculate r(p(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (279 - 25 - 72 - 2*r)*(0 + 3 - 2) - r + 0*r + 4*r + (-3*r + 3*r - 2*r)*(3 - 3 - 1) + r + 3*r - 5*r.\nAnswer: 2*r + 182","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 8*f. Let i(d) = -8*d**2. Determine q(i(h)).\nAnswer: 64*h**4 + 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -4, 21, -1\/4, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 330, 314, 292, 264?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.0187 - 0.0187. Let b = -517\/60 - -35\/4. Sort -0.5, g, b in decreasing order.\nAnswer: g, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11531 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31828 and 9592.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 + 13*g**2 + 34*g - 17. What is j(-5)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1710 and 10048872.\nAnswer: 150733080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -u. Suppose -5*p + 10 = -3*x - u, 3 = x. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -542 + 542. Solve d = j + 25*j - 104 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**24\/(l\/l**(9\/4))*(l**(2\/29))**(1\/62) assuming l is positive.\nAnswer: l**(90803\/3596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -2\/3 (c) 1\/126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 1 + 2*m**2 + 2*m**2 - m. Determine p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 323 and 11647.\nAnswer: 197999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(396) - sqrt(396)) - sqrt(396).\nAnswer: -6*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5149 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 14*f - 23, -16*g + 49*f = 54*f + 53 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdd when three letters picked without replacement from dddggddgdggggdgdjgd?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2. Let n be j(1). Let l(v) be the third derivative of v**5\/60 + v**4\/4 + v**3\/2 - 176*v**2. What is l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:17 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 504\/5 in -556, 18, 0.1, 4, 0.4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c - 33. Let s(w) = -3*w + 16. Calculate 2*l(i) + 5*s(i).\nAnswer: -7*i + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -58975.37 to the nearest 100.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 90, 198, 316, 444?\n\"Answer: 5*t**2 + 93*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -5, 381\/13, -0.4, 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -192145398.92.\nAnswer: -192145399.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6817023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222386 rounded to 3 decimal places?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1419457 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n - 4. Let r be w(-6). Let x(d) = 4*d + 3 + 1 - 3 - r. Let a(f) = 7*f - 2. What is 3*a(o) - 5*x(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3072 - 1524 = 5326*y - 19169 - 11239 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1)\/((-1136)\/(-710) + (-1 - 1)). Put 409, 0, v in increasing order.\nAnswer: v, 0, 409","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0*d**2 + 209\/30*d**6 - 1\/6*d**3 + 41\/6*d**4 + 0*d**5 - 21*d + 1. What is the third derivative of l(n) wrt n?\nAnswer: 5016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1 - 2*l + 13*l + 49*l + 6*l. Let m be j(1). Let n = m + -9. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.09 + -0.09. Let c = -3.49 - -21.49. Let g = p - c. What is the biggest value in 5, g, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 18*d**2. Let y(l) = -6*l**2 + 2*l + 231. Give y(z(n)).\nAnswer: -1944*n**4 + 36*n**2 + 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**2 - 186860*w + 8793465 = 0.\nAnswer: -37419, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/43 in 5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1745*f**5 + 3493*f**5 + 1 - 1741*f**5 - 22*f wrt f?\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 45. Suppose -4 = 4*a - u, -6 + 2 = -2*a - u. What are the prime factors of m(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9363765?\nAnswer: 3, 5, 624251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1206282*y + 0 + 1 - 614*y**3 + 1206282*y + 303*y**2 wrt y?\nAnswer: -3684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -71*w + 2416. Let q be j(-122). What is the highest common divisor of 87 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 37*y**2 + 38*y + 6. Calculate t(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/900*310*-1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2\/3 + 20*w\/3 + 88 = 0.\nAnswer: -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78660857\/456 - 172502. Find the common denominator of o and 63\/1216.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*o + 4, -4*h = h - 3*o - 16. Suppose -h = 2*s, -3*u - 2*s + 1045 = -6*s. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*t - 146, -3*t + 292 = 2*h + 2*t. Does 12 divide (-2)\/4 + h\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-2 - -5 - 2). Let u(s) be the third derivative of -s**5\/60 + 5*s**4\/24 + 11*s**3\/6 + 15*s**2. Let d be u(7). Put -5, r, 0, d in ascending order.\nAnswer: -5, r, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8620142 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -34, -62, -106, -172, -266?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:22 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -34*j**6\/5 - j**4\/6 - 23*j**3\/6 + 88*j. Find the third derivative of y(o) wrt o.\nAnswer: -4896*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -1.9 (c) 0.5 (d) 97 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -18 - (-1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i - 0. Suppose 13 = p + i. Solve p = -7*u + 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 2, y: 1, m: 1, n: 3}. Give prob of sequence gy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**5)**28)**35\/(((a*a**(-1))\/a)**(-2\/15)*(a**(1\/5))**(-3\/2)) assuming a is positive.\nAnswer: a**(-17639\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22212, -75781, -165064, -290061, -450772, -647197, -879336?\nAnswer: -1147189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13079 - 208*w**3 - 3*w**4 + 13079 + 2140*w wrt w.\nAnswer: -36*w**2 - 1248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28108837 (b) -0.5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -37\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1222.\nAnswer: -5\/1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-12 - -41) - 13) + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p + 3. Let x be w(2). Let b(g) = -g**2 - 14*g - 3. What is the remainder when 37 is divided by b(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1211*b**2. Let v(n) = -236*n. Give s(v(d)).\nAnswer: -67447856*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0*m)**(4\/21)*m**1\/m**(-3))\/(m*m*(m\/((m\/(m\/(m*m**(-2\/3))))\/m))\/m*(m\/m**(-5\/6)*m)\/m*(m*m**1*m)**(-1\/14)) assuming m is positive.\nAnswer: m**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 78*v**2 - 227*v + 152. Let u be p(75). Solve 5*c - 18 = u*h, 196*h = 197*h + 4*c - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -83, 0.0753, -4\/15, 2, 0, 1?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 2*l**5\/5 - 6*l + 5. Differentiate a(z) with respect to z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 - -4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3101030 + -1231?\nAnswer: 3044244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Suppose z + 5*r = -z + 189, -426 = -p*z + 3*r. Suppose 5*u + 7 = z. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613530 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 + 4*j**2 + 39*j + 54 = 0.\nAnswer: -3, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 654252 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nccn when four letters picked without replacement from {n: 5, c: 8, b: 5}.\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 1)*(-2*x + 4*x - 4*x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 257. Suppose 220 = 4*t + o. What is the highest common divisor of 63 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505 divided by -9555.\nAnswer: 101\/1911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -8)*(-1216)\/(-1520). Let r(n) = 2*n + 1. Let f be r(2). Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1173 and 42.\nAnswer: -49266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 1238 = -150. Suppose -223 = -5*l + 2*q + q, 4*q + k = 3*l. Calculate the remainder when l is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*h**2 - 84*h + 84*h)*(2 - 1 + 2 + (1 - 2 - 4)*(-2 + 8 + 3)).\nAnswer: 672*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*k + 16 + 104, -4*k + 150 = 5*n. Let v = n + -27. Which is bigger: 5 or v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*n + 6*n + 74, -5*v = -3*n + 87. Let r = v + 28. Calculate the remainder when 19 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*((-3)\/6)\/1. Let z(c) be the third derivative of 0*c - 177*c**2 - 1\/24*c**4 + 0 + 1\/2*c**3. Give z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 - 4*h**2 + (-5*h**2 + 4*h**2 + 2*h**2)*(2 + 0 + 0) + 3*h**2 + 5*h**2 - 4*h**2 - 2052*h + 2052*h - 59*h**2)*(-5*h + 2*h + h).\nAnswer: 110*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + (5 - 51 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**4\/4 + b**2 + b - 30. Let v be -2*1 + (-1 - -1). Calculate j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m**3 - 509*m + 1026*m - 517*m.\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (0 - (3 + -10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*p - 5 = -559*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g - 1. Let r be u(-2). Let n = -92 - -96. What are the prime factors of r\/2 - 2\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -233, -0.4 in ascending order.\nAnswer: -233, -0.4, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 21*v - 36.\nAnswer: -3*(v - 4)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 + -4 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/4320 and 37\/48?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 359118445 to the power of 1\/3, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*s + 169 = -2*s, 2*s + 267 = 5*c. Let d = c + -51. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 557.3342 hours?\nAnswer: 2006403120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -389*b + 3. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*l = 16, 8*l = m + 6*l - 4. Suppose -18 = -m*n + n - 4*v, 3*n + 3*v = 12. Suppose -o - 3 = -8. Sort n, o, -2.\nAnswer: -2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/7*(-1)\/1. Let p(g) = 4*g - 5. What are the prime factors of p(z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:11 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.811697 to two decimal places.\nAnswer: 8.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-392))\/(6390\/(-8520))?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3745, -7470, -11153, -14776, -18321, -21770, -25105, -28308?\nAnswer: -31361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99032020?\nAnswer: 2, 5, 23, 461, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -611*z + 209 + 237 + 165 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-270)\/162)\/(5\/(-564)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 20. Let i be w(6). Let z(f) = -f**3 - 2*f**2 + 4*f. Let v(l) = -3*l**3 - 6*l**2 + 11*l. Calculate i*z(y) + 3*v(y).\nAnswer: -y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26503)\/40)\/(1*6). Let d = -1588\/15 - o. Calculate the common denominator of -51\/2 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6818593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 48021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -550324 - -12?\nAnswer: -550312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.96 + 8. Let x = t + -0.07. Let i = x - 0.17. Which is the second smallest value? (a) -3 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/(-1547)*(-182)\/(-35))\/(34\/14).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 u when four letters picked without replacement from {d: 4, r: 5, u: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.9 and 0.8.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 860886672 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 684366.33 to the nearest ten thousand.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 6*z**2 + 2*z - 17. Let v = -86 - -79. Does 2 divide i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.292 + 0.333. What is t rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/240 - 7*s**4\/48 + s**3 + 14*s**2. Factor k(g).\nAnswer: (g - 12)*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/78540 and -181\/309211980.\nAnswer: 309211980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10124 (base 6) in base 14?\nAnswer: -6c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upriirummmupompr. What is prob of picking 1 u and 2 p?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h**3\/7 + 362*h**2\/7 + 788*h\/7 = 0. Calculate h.\nAnswer: -2, 0, 197\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4 - 12148*i**3 + 639612*i**2 - 8953100*i + 15445000 = 0.\nAnswer: -3089, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -2 - 5 - (-70 + 33 - -40).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.2673212416 minus 7.7?\nAnswer: -37.9673212416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -102\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 5:51 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/40*5190\/4671.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35031, 34974, 34917, 34860, 34803?\n\"Answer: -57*j + 35088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -2087, -4719, -8435, -13253, -19191, -26267?\nAnswer: -34499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 27.2. Let z = -7574 - -68164\/9. What is the closest to v in z, 0.1, 5\/2, 1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.14 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 + 0 + -9 + 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241077511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81708 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 18*f - f + 26*f.\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/14 - 4\/(-14). Which is the second smallest value? (a) t (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/475 or -670?\nAnswer: 1\/475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*v - 8*v - 772, -3*c + 3*v + 1155 = 0. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415658 is divided by 41636?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + ((-48)\/1)\/(-4). Solve -2*j - 3*p + 8 = 0, -2*p = 4*j - 4*p - t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 12. Let g(z) = -z**2 + 10*z + 1. Let s(u) be the second derivative of -u**3\/3 - u. Let t(f) = c*s(f) - 2*g(f). Suppose t(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/95920 and 101\/2275920.\nAnswer: 25035120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/2 and 36\/157.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - (-15 + 7 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-103 - -5 - ((-18 - -41) + -15)) + (-1 - 5)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331 - 334. Let x be 2 + -1 - (-21)\/(-1). Let j = 29 + x. Put i, 1, j in decreasing order.\nAnswer: j, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a**3 + a**2 - a - 1. Let o be r(-1). Let u = -11 - o. Solve 3 = -u*d - 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53177727 is divided by 13294426?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 19 = 3. Let r(v) = 9*v - 6. Let j(h) = -28*h + 16. Let o(t) = 4*j(t) + 11*r(t). Let y(i) = -66*i - 11. What is a*o(n) + 2*y(n)?\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591 + 1066. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 2*d + 2. Suppose -6 = 5*j - 2*j. Let u(b) be the first derivative of 5*b**3\/3 - 3*b**2\/2 - 3*b + 828. Calculate j*u(z) - 3*x(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/20 + 1326\/770. Let m = -6\/77 - t. Sort m, -3, 4 in descending order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) 308 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -7968391595?\nAnswer: 7968391569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/32)\/((-9)\/12*2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -38*v**2 + 5*v. Let j(x) = -6*x + 47. Let i be j(7). Let m(u) = 437*u**2 - 57*u. Give i*m(k) + 57*r(k).\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6975?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 65?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1256160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4886\/(-460) + (-58671)\/(-5535).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19785\/4 - 378267\/76. Which is smaller: -31 or o?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 22. Suppose 2*v = 4*v + 5*z - 3, 5*z - l = 4*v. Let o = 5\/18 - 53\/126. Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -25. Let v be ((-12)\/x)\/(10\/(-75)). Let c = 19 - v. What is the remainder when 28 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105.58 - -2.56. Let s = -168 + 66. Let r = s - g. What is r rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497635983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -10.248. Let s = c - -103.248. Let b = s - 102.9999937. Round b to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4 - 2. Let h(m) = -m**2 + 4*m - 3. Let s be h(u). Which is smaller: s or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 650 = 725. Calculate the lowest common multiple of p and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -220, -0.4, -0.1, 17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/256063 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6\/11, 11\/6, 3, 1\/5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -521295 divided by 115?\nAnswer: -4533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 1. Let q(t) be the third derivative of 1\/2*t**4 + 20*t**2 - 5\/3*t**3 + 0 + 0*t. Give -22*g(c) - 2*q(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/781 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1047 + 1.7047. Sort -14, k, 2\/3.\nAnswer: -14, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15149347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb (base 15) in base 11?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -17*k**7\/21 + 11*k**4\/3 - 29*k. What is the third derivative of m(l) wrt l?\nAnswer: -2040*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 478, 486, 494, 502, 510?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 844185, 8\/3, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/24 and -65\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + (-54)\/(-4). Let k(z) = -g*z + 11*z + 4*z. Let b(j) be the second derivative of -2*j**3\/3 - 3*j. Give b(k(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:01 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 + h + 1. Let l(s) = -8*s**3 + 6*s**2 - 10*s - 6. Calculate -l(w) - 6*z(w).\nAnswer: 2*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + f - 2278 = 3*f, -y - 4*f + 460 = 0. Suppose -y*d = -459*d + 2301. List the prime factors of d.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 592.102 years?\nAnswer: 5.92102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 4 (b) 0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1316702 divided by 658351\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115373670 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 590398738 to the power of 1\/2, to the nearest integer?\nAnswer: 24298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Let d be (i\/4)\/((-4)\/(-16)). Solve 2*b - 8 = -5*q, -5*b = 5*q - 3 - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-7 - (-8 + -13)) + 0 + 69.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Let f(n) = -n + 1. Determine f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 1 - 10*z + 2*z + 4*z. What is o(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 11*q + 20. Let y be i(-2). Solve -3*r - 4*k = y + 13, 5*r - 3*k + 19 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (0 - 6)\/(-2). Let h be -4 + -2 - (n - -1). Let l be (-402)\/(-78) + (-6)\/39. Put h, 2, l in descending order.\nAnswer: l, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 976, 1846, 2628, 3322, 3928, 4446, 4876?\nAnswer: 5218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2\/23 - 130*k\/23 - 812\/23 = 0.\nAnswer: -58, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**3\/6 - u**2\/2 - 2*u. Differentiate r(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**4 - 5*x**3 + 645*x**2 + 875*x - 1475. Let z(y) = 2*y**4 + 2*y**3 - 242*y**2 - 328*y + 553. Let f(m) = 13*c(m) + 35*z(m). Solve f(n) = 0 for n.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 17*f**2 + 35*f + 2. Let m(s) = -5*s**2 - 12*s - 1. Determine -7*m(b) - 2*x(b).\nAnswer: b**2 + 14*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -184 - 124. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**3\/u))**(-4\/7))**(5\/7))**(-20) assuming u is positive.\nAnswer: u**(-400\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16218719 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from bsbbsbb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {s: 2, b: 1, k: 1, o: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-2 + -11 - 4). Suppose 0*g + 4*g + p = 5*r, 0 = -4*r + 2*g + 10. Let c(b) = b + b + r*b. Determine c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + -3 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 5:23 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5345730685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 41 - 46. Let h(d) = -2*d**2 + j*d**2 - d**2. Let r(i) = -5*i + 2. Let l(v) = 5*v - 3. Let n(k) = -2*l(k) - 3*r(k). Calculate h(n(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 8*d - 3*d)*(-52 + 134 + 52) + d + 2*d + 0*d to b + r*d and give r.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -679899*a + 3399513. Calculate b(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1*2) + 21. Let i be x\/(-2 + (-9)\/(-6)). Let p be 38\/i - 3\/(-15). What is the smallest value in 2\/7, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -t + 3, -12 = 2*t + 3*w - 4*w. Let b be (t - -5)*2\/(-12)*-2. Let u(r) = 2*r**2 + 7*r + 5. Let n be u(-5). Solve j + 4*j + n = b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 54486 (b) -1.7 (c) -1 (d) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 311877913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200268 + -96788. Round l to the nearest 1000.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 + -132. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-45)\/(-10))\/9*0. Let k = -54.6 - -55. What is the second smallest value in s, -1, 0.1, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*b**3 + 5*b**2 - 10*b + 78?\nAnswer: -696*b + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000494494014 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -53?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2293792 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -51, -101, -151, -201?\n\"Answer: -50*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -286164.794 + 286180.3940067. Let q = 15.6 - d. What is q rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 13333060.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b**2 - 5*b**2)*(2 - 2 - 2*b**2 + (-3*b + 4*b + b)*(5*b + 0*b - 3*b) + 2 - 2 - 90*b**2).\nAnswer: 176*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/12 and (-21 + 6)\/5 - (-34)\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.66278 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2237, 38\/7, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -200, -37, -7, 5 in decreasing order.\nAnswer: 5, -7, -37, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*r**5 - 6*d**3*r**2 + 107*d*r**3 - 88*d - 13*r**3 + r**2 - r wrt r?\nAnswer: 120*d**3*r**2 + 642*d - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (6\/3 - 2). Let t(z) = z**2 - 15*z - 16. Let o be t(-1). Put o, f, 3, -5 in descending order.\nAnswer: 3, o, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -543.9352 to zero decimal places.\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k**3 + 22 + 4 - 40*k**3 with respect to k.\nAnswer: -93*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 2*c**2 - 4*c - 4. Suppose -7*h = -3*h + 12. Let j be m(h). Which is greater: -2\/9 or j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612849092 to the power of 1\/3, to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*u - 632 = 1880, -5*o + u = -6303. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21914 + 6204. What are the prime factors of z?\nAnswer: 2, 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1.5, 3, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11073 divided by 11150.\nAnswer: 11073\/11150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (83 - 73) + (9 - 17 - 11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7061.5 + 6803.691. Let f = 257.9941 + 0.0059. Let n = f + i. What is n rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 - 92*r + 94. Let w be x(1). Which is smaller: 2\/921 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(0*q - 2*q - 2*q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 - 4*z**2 + 10*z + 52. Let p be q(-4). Calculate the greatest common factor of 35 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = y, -2*o - 6 = -4*y - 0. Find the common denominator of (-228)\/27*o\/(-1) and 1166\/(-144) + 4\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2. Let c(s) = -2*s + 14759. What is c(w(l))?\nAnswer: 4*l**2 + 14759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 12\/20)*((-130725)\/14)\/(-45). Which is the smallest value? (a) -10 (b) v (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451938.\nAnswer: 2, 43, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/5, 2, 0 in decreasing order.\nAnswer: 2, 0, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -5*z - 2*z - 2*l + 77, -6*l + 36 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 599.211.\nAnswer: 601.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*50\/(-20)*2\/(-10). Which is smaller: v or -20\/357?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 26205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 14*t + 29. What is x(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 2*o - 3. Suppose 0 = 2*d - 14*d + 2*d. Suppose -4*y - 68 + 312 = d. Let i = y - 63. Calculate h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0 + 0)*(3*h**2 - 3*h**2 - 5*h**3) + (18*h**2 - 6*h**2 - 6*h**2)*(-h**3 + 2*h**3 + h**3).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249279496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84058 - 0.8.\nAnswer: 84057.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -6. Let n = 47.8 + -48. Which is the closest to -1\/5? (a) k (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -66 - 9. Let z(f) = -2*f**2 + 1 - 2*f**2 - 2*f**2 + 5*f**2. Let o(b) = 6*b**2 - b - 5. Let q(m) = k*z(m) + 3*o(m). Factor q(u).\nAnswer: 3*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/504 and -31\/30.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1317 (b) 5\/7 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 7:33 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*f*i**4 - 123*f*i**2 - i**4 + i**2 wrt i.\nAnswer: 1056*f*i - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*3\/2. Find the third derivative of 4*m**4 - 5*m**4 + m**i + 3*m**4 wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5191?\nAnswer: 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -6 - (3 - 10). Suppose -5*v = -b*v - 1847. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1336 - 1336. Suppose -40 = -q - 3*j, 2*j + 20 = q + j. Solve -u - 4*u + q = t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1868.\nAnswer: 560.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1185440 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*d - 10*h - 79 = -15*h, 0*d + 50 = -2*d + 3*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2601638.\nAnswer: 2, 13, 47, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377471694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*r + 98*r + 3*z - 12330 = 0, -3*r = -5*z - 12378. What is the greatest common divisor of r and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -958757541034 and -0.5.\nAnswer: -958757541034.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 7 = -3*o - 2, -o + 7 = 3*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*i - 4, -3*p + 12 = -5*i - 7. Suppose 3 = -a - 3*h, -p*a - 24 = -4*h + 37. What is the units digit of a\/(-20) - (-101)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101021120 - 11?\nAnswer: -2101021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31165007*h**4 + 53989001*h**2.\nAnswer: 747960168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:51 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12*g)\/g**7*(g\/g**(-19))**(-1\/32) assuming g is positive.\nAnswer: g**(43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5137, 10258, 15379, 20500, 25621?\nAnswer: 30742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*l + 64 = 2*l, 3*n - 39 = 3*l. Let y = 23 - n. Suppose 1620 = 3*h + o, 0*o + 15 = -y*o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(176) + -4 + -3)**2 + (-5*-2*sqrt(704) - (sqrt(704) + sqrt(704) + -5 + sqrt(704) + -2))**2)*5.\nAnswer: 2520*sqrt(11) + 178350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1145423, -1, 5, -2 in decreasing order.\nAnswer: 1145423, 5, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = 14*h. Let q(v) be the third derivative of v**4\/24 + 4*v**3\/3 + v**2. Give q(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {w: 7, z: 1, v: 3, g: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31258044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745298594?\nAnswer: 2, 101, 3689597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9 - ((-2)\/(-7) + 120\/(-126)). Solve 3*m + 7*w - 2*w + 7 = r, 2*m + 3*w = -5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 + 4*x + 1. What is a(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*9\/6*335\/(-15) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 24. Let h be (-162)\/(-2)*(-2 - -1). Let t = h + 257. Calculate the greatest common divisor of t and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 513?\nAnswer: 40\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3\/3 + 32*t**2\/3 + 80*t - 192 = 0. Calculate t.\nAnswer: -6, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6067677715?\nAnswer: 5, 11, 3761, 29333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 0, -w + 53 = -3*j + 5*j. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (2 + -3 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) + ((sqrt(68) - (sqrt(68)*2 - sqrt(68) - sqrt(68)) - sqrt(68)) + sqrt(68))*3)))\/sqrt(4) - 5*(sqrt(1700) + -3))**2.\nAnswer: -1560*sqrt(17) + 46193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let r be (-14)\/20*3\/7. Is s less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 10*o = 2*o, o - 30 = -6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - l = 8, 0*p + 5*p - 8 = 3*l. Suppose -4*i = p*k + k + 32, 0 = 3*k. Let g be (60\/(-80))\/((4 - 2)\/i). Put g, -1, -4 in descending order.\nAnswer: g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-2)\/(-4))\/((-5)\/(-150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a**(-3)\/a*a)\/a*a)*a\/(a\/(a*a**(-2\/15))*a*a*a))**(-16) assuming a is positive.\nAnswer: a**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 35.6. What is the closest to p in 0.2, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3660131 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11852*j + 3287*j + 3545*j)*(-2*j**3 + 2*j**3 + 2*j**4).\nAnswer: 37368*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 l when four letters picked without replacement from {t: 5, f: 2, l: 2, r: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 11*o**2 - 7*o - 15. Let f be z(-10). Let t = 50 + f. Suppose -4*b = x - 257, 3*b + 1194 = t*x - 137. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(5) + 0)*-4 + (sqrt(405) - (sqrt(405)*-1)**2))*4 + -4).\nAnswer: -4872 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -165*y**4 + 52821*y**3 + 2303280*y**2 + 23466000*y - 3024000 = 0.\nAnswer: -20, 7\/55, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 12:30 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.87 from 247.\nAnswer: 247.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/24 + 2*t**3\/3 + 8*t**2. Let g be c(5). Let h be (4\/(-3))\/((-6)\/g). Which is smaller: -17 or h?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-35)*w)\/w)\/((w*(w\/(w\/(w\/(w\/w**(-8\/11)))*w*w))\/w*w)\/w)*(w**(-3\/16)*w)\/((w**9*w*w)\/w) assuming w is positive.\nAnswer: w**(-7121\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + n**2 - 2*n**2)*(-2*n**2 + 2*n**2 - n**2) + (n - 5*n + 3*n)*(-3*n**3 - 3*n**3 + 5*n**3) + 2*n**4 - n**4 + 0*n**4.\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 908602 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 - 2*a + 1\/6*a**3 + 1\/3*a**4 + 0*a**2. Find the second derivative of i(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 48629015.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m - 13. Let g(k) = -4*k + 11. Let h(a) = -7*g(a) - 6*z(a). What is h(11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*j, -28 = 5*t + 4*j - 0*j. Which is the third biggest value? (a) t (b) 0.9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(252) + (5*sqrt(252)*-1 - sqrt(252)))\/sqrt(9).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1*(-3)\/9)\/(6\/54) - -6919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -2, -64 in ascending order.\nAnswer: -64, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12 and -0.09714.\nAnswer: 11.90286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3046796.5 to the nearest ten thousand.\nAnswer: -3050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 10 + 26. Let d = 35 - b. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4751122.\nAnswer: 2, 31, 76631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22528 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 + 6*c + 6. Determine o(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13\/10315 (b) -0.06 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(242) + -4))**2 + ((sqrt(242) + sqrt(242) + 2)**2*3 - sqrt(242))*3.\nAnswer: -3641*sqrt(2) + 33348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p - 38. Suppose -30 = -3*v - 9. Let k be u(v). Find the first derivative of -40*z - 45 + k + 15 + 16 wrt z.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6730*w + 13550. Determine m(2).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74.034 + 74. What is r rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {n: 3, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/8)\/(8\/12 + 6\/18). Which is the nearest to w? (a) 132 (b) 1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c - 14. Let k be d(-2). Let v be (-1 + k)*6\/(-9)*-24. Suppose -9*b + 3*b = -v. Solve f - 3*r - 1 + 14 = 0, -b = -4*f - 3*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1644583*s**2 - 7713*s + 7713. Let m(d) = 853*d**2 + 4*d - 4. Let v(j) = -4*h(j) - 7713*m(j). Let p(c) = 12*c**2. Give v(p(y)).\nAnswer: -123408*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/141 - -1264\/705. Let g = t + -122\/65. What is the nearest to -1 in 5, g, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*sqrt(3)*-2*-3)**2*4.\nAnswer: 10795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 169256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = -3*f + 19*b + 38484, -b - 25666 = -2*f. What are the prime factors of f?\nAnswer: 2, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = 15, -2*y + 2*s + 12 = 0. Suppose -6*b + 3*b + 5*n + 11 = 0, 4*b + 4*n - 36 = 0. Suppose -5*p = -b - y. Solve 0*g - p*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42302490233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 5*y + 10. Suppose 3*g + 23*a - 1628 = 28*a, -3*a + 552 = g. Suppose 7*o - g = -32*o. What is the least common multiple of l(7) and o?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-19*x**4 + 19*x**4 + 39*x**5) - 2*x**2 + 86*x**5 + 2*x**2.\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(6)\/((sqrt(2) + sqrt(2)*3 + sqrt(2))*6))**2 - 2*(sqrt(3) - (sqrt(15)\/(sqrt(10)\/sqrt(2)) + sqrt(3))**2)).\nAnswer: -2*sqrt(3) + 6601\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263 - -258. Let p(l) = l**3 + 5*l**2 + 2*l + 3. Give p(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 632*t**2 + 35343*t + 1488. Give d(-570).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**3 + 3*m**2 + 5*m + 6. Let k(d) = -6*d**3 + 2*d**2 + 4*d + 5. Suppose 0 = 5*r + 4*p + 33, -4*r - 2*p = -r + 19. What is r*h(y) + 6*k(y)?\nAnswer: -y**3 - 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2 + 1)*66\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -0.2. Suppose 25*w - 23*w - 700 = 0. Let z = 1034\/3 - w. Which is the smallest value? (a) o (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 553*h + 3. Let t be p(-6). Let z = -1615 - t. Is 13 a factor of 4\/18 + z\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-666*q - 189*q + 72*q + (-4 + 3 - 5)*(4*q - 2*q - 3*q))*(-1 - 2 + 1).\nAnswer: 1554*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 11 = -q + 4*q, -4 = 2*r. Suppose -10*j = q - 21. What is the units digit of 1*(-3*j - -2) - -147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 40. Let n = -4405 + 4405. Are n and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 103*q - 2582. Calculate h(-41).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.941515 and 8.\nAnswer: 103.53212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1108356613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccphphpcp. What is prob of picking 2 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 507776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.2.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 164*v**3 + 10*v**2 - 14*v - 6. What is the tens digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*q**2 + 773828*q + 677124 = 0. What is q?\nAnswer: -7\/8, 24183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38, 62, 96, 146, 218, 318?\n\"Answer: v**3 - v**2 + 20*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 6, h: 1, m: 3, t: 1}. What is prob of sequence mtmv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v**3 + 2*v**3 + 2*v**3.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2581 - 4761 + 24*c + 2223. Calculate j(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4. Let h be ((-6)\/21)\/1*i. Let r be (0 - -3)*(-8)\/42. Which is the second smallest value? (a) 2\/17 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (13 - 2)) + -2053 + 2048 - 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let j(m) = -m**2 - 1. Let o(n) = 7*n**2 - 1. Let h(a) = -j(a) + o(a). Give z(h(p)).\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/17 (b) -1\/7 (c) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**3 - u**2 - 4*u - 3. Let y(j) = -j**3 + j**2 - j - 1. Let t(p) = -r(p) + 5*y(p). Let m be t(-6). Suppose 0 = -n + 11 + m. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187673.\nAnswer: 53, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-2 + 4 - (-19 + (1 - -12))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-42)\/8 - 4\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1 - 5\/(20\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41497 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let s be (3\/9)\/(w\/6). Let y be s\/((-2)\/(-6)*-1). Which is the smallest value? (a) y (b) -2\/15 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45 (b) 3\/4 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/14289 and 62\/9?\nAnswer: 42867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 587, 3, 49, -0.2 in decreasing order.\nAnswer: 587, 49, 3, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 3*h**2 - 6*h**2 - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30936, 61855, 92778, 123705, 154636, 185571?\n\"Answer: 2*t**2 + 30913*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1 (c) -5 (d) 0.08 (e) 27\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 267\/(-63))*39. Let p = d + 87. Let v be -5*(3977\/1025 + -4 + 0). Put v, 1.8, p in increasing order.\nAnswer: p, v, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -4, -227?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 4*w**2 - w - 4. Let d be f(-5). Let o = d - 20. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 695\nAnswer: -208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 378.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/(7\/(3 - 108)). Put 1, m, -3 in decreasing order.\nAnswer: m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2864 - -2852.506. Round p to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 56. Is ((-117)\/n)\/(1\/93) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 439161110?\nAnswer: 3\/439161110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-25830)*-82)\/(7\/((-1505)\/(-2)))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + -1 + sqrt(405) + sqrt(405)))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -36*d**3 + 34*d + 57. Let f(n) = 12*n**3 - 12*n - 19. Calculate -17*f(i) - 6*y(i).\nAnswer: 12*i**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 6*w + 3. Let n be c(6). Suppose 0 = n*o - 51 - 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = -24*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 25 = 5*s. Let y be (s + -1)*-1*1*-1. Find the second derivative of -6*n**y + 7*n**2 - 6*n + 2*n**2 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q. Let d(r) be the first derivative of -r**2\/2 - 3. Let b(w) = -4*d(w) + 2*u(w). Let f(o) = -4*o**2 + 3*o**2 + 2*o**2. Calculate f(b(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 3*u**2 - 24*u - 33. Let a be i(11). Suppose 0*d - 4*d = -5*n - a, 2*n - 10 = 0. What are the prime factors of d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -10*g, 4*g = q. Solve r + r = q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0538 and -13?\nAnswer: -0.6994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -28.8. Let r be 12\/(-20) - 39\/(-15). What is the closest to p in 0, r, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1305\/30)\/(-29)*(-45)\/675. Solve -8\/5 - 17\/10*o - n*o**2 = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 42*z + 34. Let a be h(6). Let b(j) = -7*j**2 + 4*j + 4. Determine b(a).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2233392 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10\/9)*u*u**(3\/7)\/u*(u**(1\/5))**20 assuming u is positive.\nAnswer: u**(209\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2564 - 773. What are the prime factors of s?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 2. Let s be g(1). Solve -4*r - 8 = -2*u, 11 = s*u + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 32*f - 2656. Is 39 a factor of h(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v + 18. Let o be 8\/(4*3\/v). Suppose -o*q + 2 = 5*y - 53, 38 = 4*y + 2*q. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.6. Let g = 0.3 + u. Let m = 3 - 2.9. Which is the closest to m? (a) g (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248640 and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33889 is divided by 323.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**6\/480 - o**5\/48 - o**4\/12 - o**3\/6 - 16*o**2 + 21*o. Let q(l) be the first derivative of d(l). Factor q(i).\nAnswer: -(i + 1)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6*a = 0. Solve 0 = -5*d - a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k + 4*k + 21141 = 0. Let t = -355 - k. List the prime factors of t.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.86 and 0.\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 21*p**2 + 46*p + 9. Let i(g) = -5*g - 72. Let o be i(-19). Let j be w(o). Calculate the highest common divisor of j and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 33*d - 6. What is k(31)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 62. Suppose -17 = -2*k - 3*b - 65, -120 = u*k - 5*b. Let n = 152 + k. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 29*o**2\/2 - 440*o - 2450.\nAnswer: (o - 49)*(o + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 11*x = -27*x. Suppose x = 4*i - 29 - 27. Calculate the remainder when 207 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522943098?\nAnswer: 2, 3, 87157183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 354119*o**4 + 2*o**3 - 5838*o**2 + 3*o + 1 wrt o.\nAnswer: 8498856*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - 3*x**2 + 11*x**2)*((-5 + 17 + 3)*(1 + 3 - 5) - 1 + 4 - 2 + (2 - 4 + 1)*(2 + 0 - 4)) to v*x + j + a*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13759 divided by 3.\nAnswer: 13759\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**5\/5 + 12*j**3 + 104*j + 125. Differentiate u(s) with respect to s.\nAnswer: 4*s**3 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3218 is divided by 1384.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*u + 19*u = 6860 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87558.825 - -176.825. Let y = x - -87311.907. Let k = -70 - y. Round k to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z**2 - 6*z**2 + 6*z**2)*(2*z**2 + 24*z + 736 - 736 + (2*z**2 - 2*z**2 - 2*z**2)*(4 - 2 - 3) - 1 + 1 + z**2 + 3*z - 2*z**2 - 3*z).\nAnswer: -48*z**4 - 384*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2255 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -365*g**2 + 2*g. Let t(z) be the first derivative of 4*z**3\/3 + 418. Calculate p(t(l)).\nAnswer: -5840*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 99576.51 millilitres?\nAnswer: 99.57651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325195.\nAnswer: 5, 13, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 + 2*j**2 + 9*j + 7. Let x be 2 + (8\/4 - 2). Let y(b) = -b**3 + b**2 + 4*b + 3. Let k(v) = x*o(v) - 5*y(v). Calculate k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*-4 + sqrt(10)\/sqrt(2) + sqrt(5) + -2.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -61, 0.1 in descending order.\nAnswer: 2\/13, 0.1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13241414 + 12545?\nAnswer: 13254403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -25129.\nAnswer: -25124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/6 + 10*n**3\/3 + 5*n**2\/2 - 40*n\/3 - 38\/3 = 0.\nAnswer: -19, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from {f: 2, s: 1, m: 2, n: 1, w: 1, u: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 197.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.8? (a) -2\/353 (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -73, 38, 213, 464?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/61495?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20385 divided by 9.\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 628*u - 98541. What is y(316)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 a factor of 17522260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2.1. Let a = -9\/5 - -32\/15. Let f = -0.291 + -4.709. What is the second smallest value in a, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 316 and 300.\nAnswer: 23700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/7 + 104*f**4\/7 + 440*f**3\/7 + 64*f**2.\nAnswer: -2*f**2*(f - 56)*(f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpw when three letters picked without replacement from {p: 6, j: 5, t: 3, w: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w**2 - 6*w + 2. Let b be d(4). Let o = 4642 + -4337. Calculate the highest common divisor of b and o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12968? (a) -2 (b) 1 (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 281 + -277. Suppose -b + u*j = -38, -4*b - 64 = -6*b + 4*j. Calculate the remainder when 47 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r + 7. Let a(g) = -6*g - 8. Let p = -299 - -293. Determine p*s(t) - 5*a(t).\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136 - 26*r**3 - 140*r**3 + 45*r**3 - 13*r**2 + 14*r**2 wrt r?\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/512*((-16)\/10)\/(969\/190).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067469 is divided by 1132.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 6*a**2 - 5*a - 7. Let v be x(7). Suppose 0 = -3*w - h + 24, -5*w = -v*h + 2*h - 40. Let m = 7 - w. Is m less than -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -3.639\nAnswer: -3.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 284 + -284.08392. What is q rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((5 - 10) + (-2 - -9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10913029 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 - 175. Solve h = -0*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -8 + 27 + -7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let i(l) = -l**2 - 2. Let v(o) = 1. Let u(t) = i(t) + 4*v(t). Let g(s) be the first derivative of u(s). What is g(h(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1528519*r**3 + 16*r**2 + 273801003*r?\nAnswer: 9171114*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 53*z + 78. Determine u(15).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3027 + -2932.74. Let x = 94 - d. Round x to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 2*a - 2*a)*(3*a - 3*a - 2*a**2) + (2*a**3 - 4*a**3 + a**3)*(-3*a + 4*a + 2*a) + a**4 + 5*a**4 - 4*a**4 + 36*a**4 - 140*a**4 - 144*a**4.\nAnswer: -243*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -560.7 + 585. Let l = -23.8 + f. Let q = 18\/13 + -67\/39. Which is the closest to -1? (a) 4 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((2 - 3) + 0 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(252) + 1) + sqrt(252) + 3 + 2*sqrt(252) - (sqrt(252) + -6*(-1 + sqrt(252) - sqrt(252)) + 2))*2)**2.\nAnswer: 384*sqrt(7) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 87. Suppose 29*z - 33*z = -b. Let 0 + 4\/3*h**2 + 0*h + 10\/3*h**z = 0. Calculate h.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 + z**2 - z. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 3. Let o = 31244.98 - 31245. What is the closest to m in o, 1, 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 11*q + 1. Let n(f) = f**2 + 10*f - 1. Let m(l) = 6*d(l) + 7*n(l). Let a be ((-6)\/(-1))\/(-3 + 3 + -1). Does 2 divide m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 - -22)*2\/6. Suppose t - 3 = q*h, 3*t = -2*h - 0*t + 9. Suppose 5*b - s - 131 = h, -5*b - 2*s + 127 = s. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 725*s + 35503. Give p(46).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 12688 - 34516. Suppose -2*v + 25506 - 1909 = -3*t, -v + k = t. What is v rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 4, v: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -47*s**5\/20 + 4*s**3 + 13*s. Find the second derivative of p(b) wrt b.\nAnswer: -282*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(10790\/(-40755))\/166.\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 15*q**2 + 28*q - 9. Let j = -771 - -778. What is the tens digit of x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0388 in -1\/4, 1\/5, 0.21, 259?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + 5 - 12) + (4 - (0 + 1 + 2))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 n when four letters picked without replacement from {n: 2, g: 10}.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 + 3.2. Let d = f + -1.59999905. Round d to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5 + -7 - 5) + (5246 - 5299)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2.5. Let f = -2.53 + 0.59. Let y = f - -0.64. Sort 3, y, 0.5, u in descending order.\nAnswer: 3, 0.5, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19932720 and 6.\nAnswer: 19932720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 + 3 - (79 - 67)) - (1 - -40).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 3540?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Let b = -192 + 187. Suppose 6 - 2 = -k. Put k, b, j in decreasing order.\nAnswer: j, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3699887*y**3 - 3397575 wrt y.\nAnswer: -11099661*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6645\/38 or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949126*a - 949154*a + 2548 = 0 for a.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -117, -147, -211, -321, -489, -727?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(80) - (sqrt(80) + 1))*5 + ((sqrt(80) - (sqrt(80) + (5 + sqrt(80)*1 - sqrt(80))))*5)**2 + -2.\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -14 - (1 + 0)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 368830801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 8175075?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 252*k**2 - 251*k. Determine q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c + 150?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -14.10396\nAnswer: 4.231188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 398771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 48. Let n(s) = s + 12. Let j be n(b). Let c(t) = -14*t**2 - 6*t + 1. Let z(v) = -5*v**2 - 2*v. Let d(l) = 4*c(l) - 11*z(l). Determine d(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 6, f: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 1475685?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474020813?\nAnswer: 7, 61, 569, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(252) + 1*(-1 + sqrt(252)) + 5) + -2)**2.\nAnswer: 720*sqrt(7) + 9172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -39 + -43 + 30 + (-2 - 15) - 5\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*3*4\/24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14886 (base 11) to base 10\nAnswer: -21027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 24. Suppose -j = -t + 9. Let g be (9\/(-12))\/((-1)\/t). What is the highest common factor of 84 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -161 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13650505976058+2.8\nAnswer: 13650505976060.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 39*u**2 + 91*u + 176. Calculate v(-2).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39358 or -39357?\nAnswer: -39357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*o - 348*o = -q - 12, -o = -4*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58066 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/7)*a*a*a*a\/a**8 assuming a is positive.\nAnswer: a**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121243345*u**4 + 4*u - 105204439 wrt u.\nAnswer: 1454920140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 5:58 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a - 3*r = -35, 3*a = 2*r + 20. Calculate the greatest common divisor of a and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/15 in 3, -3, 259\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(720)\/sqrt(9) + -2 + 0))**2 + -4 + ((sqrt(245) + 0 + sqrt(245) + sqrt(245))*-4 + sqrt(245))**2*-1.\nAnswer: -27549 - 400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17803 is divided by 1369.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tutt. Give prob of sequence ttu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 1 - -2012 - (-10 + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -3.4. Let p = m + -2.5. Put -3, p, -2 in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 79 + 14. Calculate the highest common divisor of 26 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*c = 73*c + 114*c + 4131 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 47 = -18*q - 143 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycy when three letters picked without replacement from {y: 3, c: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 288 + 109 = v, -i + 5*v = -73. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34819.700004 + -34820. Let q = 0.5 + -0.2. Let w = q + t. Round w to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-52)*(-140)\/(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 15 = -103 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -3 (c) 0.4 (d) -0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7209 and 175689?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6) + (-341)\/(-66).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141819*f**3*g**3 - 28*f**3*g**2 + f**3*g - 6*f**2*g**3 - f**2*g**2 + 2*f**2*g + 108400*f*g**2 - 2*g**3 - 2*g**2 wrt g?\nAnswer: -850914*f**3 - 36*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14132 (base 5) to base 2\nAnswer: 10010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 832?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 25 - 265. Calculate the remainder when x is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/15)\/((-868)\/(-14260)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let p be o(2). Calculate the common denominator of (7\/4)\/((-9)\/28) and p + (-177)\/24 + -1 + 4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - o. Let x be v(1). Let g be (-2)\/(6\/(-9) + 0). What is the derivative of h**3 - 3*h**x + g - 2*h**2 + 5*h**2 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - z**3 + 2*z**3)*(0*z + 4*z - 2*z) + (754 - 754 - 313*z**3)*(2 + 3*z - 2) + (3 - 6 + 1)*(3*z**4 + 3*z**3 - z**3 - 5*z**4).\nAnswer: -931*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50 and -65364090.\nAnswer: -65364040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(128))**2.\nAnswer: 96*sqrt(2) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 17 + (-18 - -19)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -2)*2\/(-46). What is the third smallest value in -0.05, -1, c?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 a when three letters picked without replacement from aarraaare.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1709*t**3 + 204 - 697 - 468*t**3 + 248 + 245.\nAnswer: 1241*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2611223*r**2*x**3 - 426*r**2*x + 10*r*x**2 + 3*r - 10 wrt x.\nAnswer: -15667338*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 931 divide 1654668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4863*l + 4 = 4864*l + 16 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 9. Let s be x(6). Let v be 10\/s + (4 - 3). Let j = 3\/26 - 1\/65. Which is the second biggest value? (a) v (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26001*v**2 + 6*v - 5. Let a be y(1). What is a rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/7 - 172*q**2\/7 + 11323*q\/7 - 11150\/7 = 0?\nAnswer: -223, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -21376.1 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**4 - 5*f**3 + 0*f**3 - 2*f**4 + (10 + 2*f - 10)*(f**3 - 5*f**3 + 2*f**3) to v*f**3 + s*f + k*f**4 + j + m*f**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -27. Let r be (-1)\/2 + 260\/b. Suppose 0 = 3*z - r + 8. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 604549 - 604549.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 1 + q - 2 + (-11 - 35 + 1)*(0 - 2 - 4)*(-2*q + 2 - 2).\nAnswer: -542*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/5*40\/(-16). Suppose -n*r + 2*m = 0, -9 = -2*r - 2*m + 3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0*w**2 + 2*w**2 - 3*w**2. Suppose 4*t = t. Let g(j) = -21*j**2 + 0 + t + 15*j**2. Calculate g(z(c)).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4001\/456 + -94\/57. Calculate the common denominator of r and 31\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, 0.4, 0, 0.1, -3, 2675, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/178045 and 29\/45?\nAnswer: 1602405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**7\/147 + 4*m**6\/105 + 3*m**5\/35 + 2*m**4\/21 + m**3\/21 + 2*m. Let y(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127*y**2 - 108 + 79*y**2 - 1606*y**2 + 1226 wrt y.\nAnswer: -3308*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*(-1200)\/14025*11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 17. Suppose 135*x - 136*x = -h. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*h**2*k**3*o**2 - h**2*k**3 + 28*h**2*k**2*o**3 - 2*h**2*k*o - h**2*o - 23*h*k**3*o**3 wrt o.\nAnswer: 168*h**2*k**2 - 138*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 591*o**2 + 2*o**3 - 592*o**2. Let y(a) = a**2 - a - 6. Let r be y(0). Let k be (-7)\/3 + (-8)\/r. Determine z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y - 200 = 0. Suppose -3*n + q - 3*q = -155, -n - 3*q = -y. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/9)\/(v**(11\/5)\/v))\/(v*v\/(v*v**2)*(v*v**(2\/9))\/v) assuming v is positive.\nAnswer: v**(1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 227*h + 15. Let v be j(-10). Let f = -20266\/9 - v. What is the common denominator of f and 74\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.011\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**2. Let z(t) = -8*t**2 - 304*t. Let q(m) = -7*m**2 - 278*m. Let v(s) = -6*q(s) + 5*z(s). What is v(j(y))?\nAnswer: 128*y**4 + 1184*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8526 (base 11) to base 6\nAnswer: 124121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11000 divided by -42\nAnswer: 5500\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/28 - (-154050)\/(-7280)*2\/5?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -9, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 16*f + 13*f)*(5*f + f + f + (-1 + 1 + f)*(-3 - 3 + 0)).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 269462894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 17.60748\nAnswer: -1.760748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 2\/(-5) + 2. Let p = -8436 + 8446. Is p at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39512187 to the nearest integer?\nAnswer: 6286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*y + 16953*y - 475580 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1440 = 10*z. Suppose -28*u + 40*u - z = 0. Calculate the highest common divisor of u and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20624247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p**2 - 4*p - 13. Let d(r) = 6 - 21*r + 33*r + 5*r**2 - 10*r. Give -9*d(x) - 4*s(x).\nAnswer: -x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -7596 and -7596 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c - o = 27, 45 = 5*c + 2*o. Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -13*b**2 - 7*b + 157. Let z(q) = -7*q**2 - 4*q + 79. Let l(y) = 6*f(y) - 11*z(y). Calculate the lowest common multiple of l(8) and 55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 8. Let c be 3\/y*114\/9. Let x = c - -39\/4. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**3 + 336*s**2 + 7137*s + 6804 = 0.\nAnswer: -84, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/3 - 61189*s\/3 - 795964 = 0. Calculate s.\nAnswer: -39, 61228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d. Let m be h(-1). What is the second derivative of -5*i**m - 3*i**5 + 3*i**3 + 2*i**3 + 2*i wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + f + f = 26, 0 = -4*f + 12. Solve 5*n + 21 = -2*d, -5*n - 5 = b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 880 + -761. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffddcfcfdftfffdd. What is prob of sequence ddt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/(5\/60) + -4. Factor h**4 + 277*h**2 - 10*h**r - 254*h**2 - 6*h + 20*h**3.\nAnswer: -h*(h - 3)*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3221?\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 + 0 = 0. Let w be 0 + -6*m\/6. Solve -w*d = d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2\/5 - 2770912*j\/5 + 2770916\/5 = 0.\nAnswer: -692729, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. Let j be -10*(6 - 4)\/y. Let k(m) = m**2 + 6*m - 13. Is k(j) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16470.3 to the nearest 100.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -30\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 809999.73ns in hours?\nAnswer: 0.000000224999925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19221, -38434, -57639, -76836, -96025?\nAnswer: -115206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8575)\/3430*48\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + 0 + sqrt(80) - sqrt(80)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039452544 + -2454196?\nAnswer: -2454196.039452544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 31, 77, 153, 265, 419, 621?\n\"Answer: o**3 + 6*o**2 - 3*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -29, -43, -59?\n\"Answer: -d**2 - 9*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 296.352\nAnswer: -118.5408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p + 2*p - 1679 = 0. What is the highest common factor of p and 730?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8971?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*5694.3.\nAnswer: 1138.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 7:41 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**7\/1680 - 7*u**6\/720 - u**5\/30 + u**4\/3 - 14*u**3\/3 - 8. Let n(t) be the third derivative of b(t). Factor n(o).\nAnswer: -(o - 1)*(o + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.722 - 0.078. Let f = 12.1 + h. Let q = -2 + 2.1. Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458199 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.7 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g - 4 = 0. Suppose 3 = r - g. Suppose -2*m + r*m = 0. Solve p - 6*p - 15 = m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**4 + 1690*y**3 + 30395*y**2 + 28710*y = 0.\nAnswer: -319, -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u - 84*u - 34*u = 987 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24236165 (base 7) to base 11.\nAnswer: -1246370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbwgwwwwegwwewgg. Give prob of sequence bgw.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - (-4)\/(-76 - 8). Let k = -81\/20 + 17\/4. What is the third biggest value in k, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k)**(-3\/2) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.4. Put 0.4, 2, 3, q in increasing order.\nAnswer: q, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k - 5. Let c(j) be the first derivative of j**2 - j - 4. Let m be c(3). Let d be y(m). Calculate the greatest common divisor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + (-12 - -8) - (102 + -85).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 136322*-871\nAnswer: -118736462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 154.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*(0 + -1) - (-2813)\/1940 and 45\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + o = -14, 0 = -h + 19*o - 21*o - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*p = -1069 + 1039, 0 = -5*q + 4*p + 45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 12*g + 2. Let u be l(-13). Suppose -6*i - 3*t = -i - 9, 4*i = -5*t + u. Solve 2*m - 1 - 3 = i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*d - 7 = 0, f + 54*d - 55*d - 3 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(7*c - 1 + 4 - 1)*(52 + 44 - 83).\nAnswer: 182*c + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 268 - 24697?\nAnswer: -24429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*j = -6*j + 71*j - 1224 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 15*a**2 + 37*a - 17. Give o(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -7*k**5\/20 + k**4\/6 - k**3\/3 + k**2\/2 - 9*k. Determine p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/51 and 41\/164424.\nAnswer: 164424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 54*x**4 + 7*x**3 - 2*x**2 + 5 + 5*x - 52*x**4 in the form r*x**2 + n*x + t*x**4 + u + g*x**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205989755?\nAnswer: 5, 29, 509, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -76.7665.\nAnswer: 307.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -919, 4, -24 in increasing order.\nAnswer: -919, -24, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 283 or -0.4?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -27, -1\/8, -0.1 in increasing order.\nAnswer: -27, -2\/3, -1\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 84.11803?\nAnswer: -82.11803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {f: 2, k: 7, a: 1, s: 3, w: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = 5 - 5. Calculate the common denominator of 67\/12 and u + -1 + 664\/(-64).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -733638, -733514, -733394, -733278, -733166, -733058, -732954?\n\"Answer: -2*g**2 + 130*g - 733766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154*r**2 - 981*r**2 + 754*r + 441*r + 485*r wrt r?\nAnswer: -2270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239531424.\nAnswer: 2, 3, 11, 109, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (sqrt(125) - (sqrt(125) + 3)) - (sqrt(125) - (0 + (sqrt(125)*4)**2))).\nAnswer: -5*sqrt(5) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199508458, -399016919, -598525380, -798033841, -997542302?\nAnswer: -1197050763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 493 + 1.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136423775 a multiple of 2167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c2a01 + -4?\nAnswer: -c2a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0*a**3 - 6*a**2 + 0*a - 1\/24*a**4 + 0. Let u(g) = 6*g. Determine i(u(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.72 + -0.75. Let n = -0.03 - m. Let p = 0 + n. Put p, 1\/2, -2\/11 in ascending order.\nAnswer: p, -2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-2\/7))\/n))\/n**(2\/37))\/(((n\/(n**(-6\/5)\/n))\/n)\/n**8) assuming n is positive.\nAnswer: n**(9106\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1075 and 1376.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3510426101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/117, -15, 5 in decreasing order.\nAnswer: 5, -20\/117, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 11 = 1. Suppose g + 4*l - 15 = -2, -a*g + 3*l = -15. What is the least common multiple of 10 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/60 - 5*z**4\/24 - 5*z**3\/6 - 2*z**2. Suppose -j = -7 + 2. Suppose -c = 2*c + j*m - 23, 5*m - 29 = -4*c. Give i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {g: 4, s: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g - 176 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 12 - 42 - -23.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-40 - (-91 - -36))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 957642 and 11778?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-1 - (-2 - -1)). Let g = -3.6 + 4. Let m = -0.1 + g. Put m, p, -0.4 in ascending order.\nAnswer: -0.4, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - t + 4*t + (24*t - 3*t - 42*t)*(4 - 3 - 3 + (3 - 5 + 3)*(3 - 3 - 1)) + 0*t + 9*t + 12 - 8*t.\nAnswer: 65*t + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2915316 and 1619620.\nAnswer: 14576580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 11) in base 2?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:02 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50210 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or 1630?\nAnswer: 1630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 626077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l. Let x be 14 - -8*(-4)\/(-8). Let n(t) = -t**2 - 2*t. Let p(v) = -3*v - 4*v**2 + v - 7*v. Let s(a) = x*n(a) - 4*p(a). Give j(s(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 206*i + 18. Let r(x) = 207*x + 15. What is -5*r(s) + 4*y(s)?\nAnswer: -211*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*p - 1535 + 1535)*(0*p - 6*p + 2*p - p + 1 - 1 + 5*p - 2*p - p + (5 - 5 - 1)*(-4 + 4 - p) + 4*p - p - 2*p + 0 + 0 + p - 2*p + p - p).\nAnswer: -196*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 526?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3 + 3)*(2*x + 0*x - x)*(-1 + 1 - 1).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 602, 604, 606, 608, 610, 612?\n\"Answer: 2*y + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - -43?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -80175.21 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - p**2 - 7)*(1 + 0 - 2)*(-p - 1 + 1 + (-2 - 2 + 2)*(2*p - p - 2*p) + (-1 + 2 + 0)*(0 - p + 0 + (9 - 5*p - 9)*(3 + 0 - 2) - 3*p - 2 + 2)).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 261, 886, 2105, 4116, 7117, 11306, 16881?\nAnswer: 24040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(288)*2)**2 - sqrt(2)) + -4 - ((-2 + -1 + sqrt(200))**2 - (5 + -1 + sqrt(200) + sqrt(200))**2).\nAnswer: 216*sqrt(2) + 5211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 9*p + 8. Let k be l(-9). Let n = k - -2. Suppose 0 = 3*z - 53 - n. Let f(b) = 10*b + 7. Let a(o) = -3*o - 2. Determine z*a(r) + 6*f(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 24 = u. Suppose u = 24*i - 27*i. Put -5, 5, i in descending order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715877 is divided by 1479.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o = 59*o + 9088. What are the prime factors of o?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-10))\/(5\/(-2)*80\/(-1000))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 853, 1 in decreasing order.\nAnswer: 853, 6, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 0.188 (b) -2\/3 (c) -3\/4 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + 1*sqrt(24)*-1)\/(sqrt(144)\/(sqrt(12)*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*a - 5*a + 122, 5*d - 584 = 3*a. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 5:15 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 2*j - 3. Let w be l(-2). Suppose -2*n - w*a + 44 = 0, n - 10 = -a + 6. Let x = 14 + 9. What is the remainder when x is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9380*b = -9522*b + 2982. What is the remainder when 6319 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by ((-6)\/2)\/(30\/(-80)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 1. Let z be l(-1). Calculate the remainder when 56 is divided by -2 + z + -1 - (-20 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 365477946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/56 and -89\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 2*j + 1. Let g = 6 + -5. Let u be (2 - g)*(7 - 6). What is x(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -11304020043?\nAnswer: 11304020103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6\/125, -5445 in increasing order.\nAnswer: -5445, -4, -6\/125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 6. Let t be i(0). Suppose 2 + t = 4*f. Sort 0, -3, f in descending order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162.4 + 163.4. Let d = -1 + -1. What is the smallest value in 3\/8, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynmo when four letters picked without replacement from omnggngymmn?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 311, 307, 303, 299, 295, 291?\n\"Answer: -4*g + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8845 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30992381.\nAnswer: 7, 89, 49747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - 538?\nAnswer: -51b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 6*g - 3*g)*(0*g**2 - 5*g**2 + 4*g**2)*(3 + 0 + 0 + 15 + 13 - 13 + 3 - 3 + 1 + (0 - 3 + 1)*(0 + 0 - 2) - 1 + 4 - 1 + 6 + 1 + 10).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 - 4*h - 3. Let s(q) = q + 15. Let l be s(0). Let w = l - 12. Suppose -4*f = 3*b - 2*b + 4, -2*f = w*b + 12. Calculate o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + 2 - (2 + -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/987 and 107\/14.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -12. Let r = -11996 - -11996. Which is the smallest value? (a) m (b) r (c) -0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203910944 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -36, -4, 1\/2, 96?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/6*c**3 + 0 + 0*c + c**2 - 1\/6*c**4 = 0. What is c?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luuuyuluuu. What is prob of picking 1 l and 2 u?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/713184 and 29\/65688.\nAnswer: 4992288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.24489 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -247503.9 to the nearest one hundred.\nAnswer: -247500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -505, -1010, -1513, -2014, -2513, -3010?\n\"Answer: d**2 - 508*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-36)*(-5)\/(-4). Let a = -1\/9 - g. Are a and -19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-9)\/6*(-10395)\/2835\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -4, -1436, -79?\nAnswer: -1436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/((-24)\/(-6))*1\/(-2). Suppose 1 = -3*h - 2. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -34*j + 35*j. Let u = 4 + -2. Let r = -0.9 + 1. What is the nearest to j in r, 1, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f\/f**(-1\/2))**(-17\/4))**(11\/2) assuming f is positive.\nAnswer: f**(-1683\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.9. Let r = 0.2 + n. Let d = -1.7 - -1.9. Which is the biggest value? (a) d (b) r (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**4 + 35*d**3 - 60*d**2 + 65. Let f(w) = w**4 - 6*w**3 + 10*w**2 - 11. Let y(a) = 35*f(a) + 6*k(a). What is h in y(h) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9058 and 4199677?\nAnswer: 58795478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82 - -77) + -1 + (-184)\/(-30)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 16*b**3 + 1445164*b**2 + 44423540*b - 11196208 = 0.\nAnswer: -90292, -31, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(sqrt(1300) - (sqrt(1300) - (sqrt(1300) - -2*sqrt(1300))*5)) + -3)**2.\nAnswer: 1200*sqrt(13) + 1170004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*n - 3601 = -3549, 0 = 5*j - 3*n - 74 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 192, 189, 190, 201, 228, 277, 354, 465?\n\"Answer: b**3 - 4*b**2 + 2*b + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*k**2 - 14*k**2 - 27*k**3 - 84*k - 43*k**2 - 24 = 0. What is k?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**3 + 7*g**2 - 8. Suppose 0 = 6*n + 28 + 2. Is f(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*i - 25 + 9, 4*i = -4*u - 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 395, 697, 1029, 1391, 1783?\n\"Answer: 15*u**2 + 257*u + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 11*k - 65. Let i be 28\/4 + 9 + k. Solve -6 = 3*n - 3*y + 7*y, 0 = i*n + 3*y + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 26*c + 11. Let q(o) = -8*o - 14. Let s be q(-5). Let d be x(s). Solve i**3 - 19*i**2 - 25*i**3 + 14*i**5 + 18*i**4 + d*i**2 = 0 for i.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*f - 3, -16*f = -11*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211112102 (base 3) to base 12.\nAnswer: 960b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -44. Let r(u) = 4*u - 6. Let b(a) = 3*a - 5. Let j(p) = -7*b(p) + 6*r(p). Let n be j(z). Solve -1 - n = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c**2*s**2 - c*s**3 - 258*c*s**2 - 7514*s**3 + 2 wrt c.\nAnswer: 16*c*s**2 - s**3 - 258*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2959\/6 at least as big as -492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*(-8)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*c + 3*c, -10 = 4*y + 3*c. Let b(a) = -2*a + 5. Let r(q) = -4*q + 11. Let d(h) = -13*b(h) + 6*r(h). Determine d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -57. Calculate the least common multiple of 6 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g**2 + 36*g + 1. Calculate the remainder when (-18)\/27 + 28\/6 is divided by r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.06 + 1.4. Let a = -12.6 - x. Are a and -1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7443673 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*k + 36 = 0, -5*k = -3*m - 0*m + 4. Suppose -132 = 10*i - m*i. Let b = i + 72. Calculate the smallest common multiple of 27 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + (((sqrt(153) - sqrt(153)*-3) + sqrt(153))*6)\/sqrt(9).\nAnswer: -7 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27941?\nAnswer: 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 21. Let q be 0 + 6\/(-1 + z). Let p(y) = -17499*y**3 + 3*y**2 + 2*y. Let k be p(q). Round k to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*h + 2*h - 4, 2*h - 34 = -3*a. Find the third derivative of a*v**2 + 7*v**3 + 5*v**2 - 8*v**2 + 7*v**2 wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2107858, 2107857, 2107856, 2107855, 2107854?\nAnswer: 2107853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2412415 to the nearest integer?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*d = -3*d + 12, -5*p + 3*d + 30 = 0. Solve p*j = 3*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/2 - 71499*b**3\/2 - 583335747*b**2\/2 - 1744221134721*b\/2 - 470133430641699.\nAnswer: -3*(b + 682)*(b + 7717)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19 - 1340.9234.\nAnswer: -1341.1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-14))\/(-8)*23\/(104420\/(-20))\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 11791446.1?\nAnswer: -353743.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = k - 2*o - 2, -3*k + 30 = 5*o. Let s be 1\/((-3)\/(-18)) + -1. Calculate the highest common factor of k and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - i - 11. Let c be t(-5). Let k = c - 11. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4594, -4596, -4598, -4600, -4602?\n\"Answer: -2*d - 4592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 509029061 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**3 + 7*n**2 + 3*n - 4. Let g(t) = -24*t**3 + 1 + 1 + 13*t**3 - 3*t**2 + 13*t**3 - t. Calculate -7*g(m) - 3*y(m).\nAnswer: m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/5? (a) -3 (b) 5550 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 270*d - 14329. Determine g(53).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*p - 134 = p, 0 = 3*q - 5*p + 130. Suppose 0 = 2*d + 4*c + 14, -1 - 6 = -5*d + 4*c. Let n be (d - -4)\/(q\/(-30)). Solve n*v + 3 = 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -f - 16, -3*f + 709 = 712 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2)**14*d**(-2\/5)\/(d\/(d*d**(1\/6)\/d)) assuming d is positive.\nAnswer: d**(1223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850342.\nAnswer: 2, 227, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 0. Let j(h) = -13*h**3 + 3*h**2 + 4*h - 3. Let i be j(f). Let z = i - 1899. What is z rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u - 12 = 0. Let q(n) = -3*n**3 + 2*n**2 + n + 2. Let o(k) = 4*k**3 - 3*k**2 - k - 2. What is u*q(a) + 2*o(a)?\nAnswer: -a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**21*f**4*f assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 5. Suppose 5 = -w + f. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/43, 29, 0.005 in descending order.\nAnswer: 29, 3, 0.005, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 255*q**2 + 260*q.\nAnswer: -5*q*(q - 52)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 2, g: 1, l: 1, n: 2, y: 1}. Give prob of picking 2 j, 1 n, and 1 z.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458473.\nAnswer: 17, 149, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0050403 months?\nAnswer: 0.00000420025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -20, -12, 0?\n\"Answer: 2*w**2 - 2*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**2 - 98*n + 331. Calculate u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131134439*a**4 + 55298698 wrt a?\nAnswer: 524537756*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.13 + 31.83. Which is the second smallest value? (a) -6 (b) -3\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12856890 and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -52. Let x be (-60)\/(-50) - j\/10. What is the remainder when (172\/(-12))\/(0 + x\/(-3)) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1247460.277 + 13.\nAnswer: 1247473.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*m - 28 = -8*m, 2*v - m - 76 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20110 (base 11) to base 5.\nAnswer: -1420124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*u**3 + 2*u**2 - 26*u**4 + 5 + 2*u + 5 + 22*u**4 to the form q + g*u + j*u**2 + w*u**4 + b*u**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 16*b**2 - 15*b + 34. Let x be h(-17). Let r be (-1*x\/4)\/(-3). Let n = 4 - 18\/5. What is the closest to n in 1\/8, r, 1\/10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y - 19*y - 43*y as u*y + b and give u.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20033 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:58 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -8*m - 6. Calculate the remainder when 19 is divided by ((-4)\/m)\/((-2)\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70591\/16800 - -646\/175. What is the common denominator of 131\/48 and i?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 72, 138, 216, 300?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511269 is divided by 4115?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -34*f**2 + 12*f + 12. Let l(a) = a**2 - a - 1. What is j(q) + 12*l(q)?\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -250*q**3 + 0*q**4 + 252*q**3 - 1 + 17*q + 2 - 3*q**4 - 2*q**2 to g*q + i + t*q**2 + l*q**3 + s*q**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2 - 777*y + 762*y + 1. Let g(m) = m. Let c(s) = -d(s) - 12*g(s). Suppose 4 = 2*p - 0. Let k(a) = -a + 1. What is p*c(q) + 5*k(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.025348mg to nanograms.\nAnswer: 25348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228654, -8\/3, -2\/399 in increasing order.\nAnswer: -228654, -8\/3, -2\/399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 453920079 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.9272ml in litres?\nAnswer: 0.1889272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 17*p - 4704. Calculate k(78).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-2))\/1)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02873048237 rounded to four decimal places?\nAnswer: -0.0287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 + 99 + 88 - 374 - 6*l**2 + 89.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/133? (a) -163 (b) 8\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-5 + 7)) + -5 + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 7*w**2 - 5*w + 2. Calculate h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 55. Calculate the remainder when 253 is divided by (-672)\/35*h\/(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 11. What is the remainder when 75 is divided by i(15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**3*u + 12154*g**3 - 7023618*g*u - 3 wrt u.\nAnswer: 3*g**3 - 7023618*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 - j + 3*j - 3*j.\nAnswer: 21*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 > 213304\/317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*s + 731 = 203 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 20205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -182071?\nAnswer: -182071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -409 - -275. Let g be (0 - -1 - f) + 2. Suppose -1724 = -3*c - g. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*y - 50*y - 268890. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6829, -13771, -20719, -27673, -34633, -41599, -48571?\n\"Answer: -3*c**2 - 6933*c + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20414 is divided by 5055.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111 + 10110000101?\nAnswer: 10011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -2835, -6975, -12771?\nAnswer: -20223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*u + 0)*(2 + 1 - 2)*(-773*u + 347*u + 345*u) + (2*u - 3 + 3)*(2 - 2*u - 2) + 259 - 21*u**2 - 259 to k*u**2 + f + l*u and give k.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 2*m)*(-3*m + 3*m - m)*(-21*m - 61*m + 16*m).\nAnswer: 66*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2)*(-1 + 0). Let k be 3\/(4\/12 - 0). Suppose 3*f - k = -h*f. Which is greater: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -5 (c) -15 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 22*z - 230 + 150 = 228, -11*a + 8*z - 87 - 20 = 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at most as big as 165\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(16)\/sqrt(2)) + (sqrt(112)\/sqrt(4))\/sqrt(4) + -4.\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 17*j**2 - 55*j + 62. Give b(-20).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13714345?\nAnswer: 5, 97, 28277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -160327852?\nAnswer: 160327854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**2*h*r**2 + 841*f**2*h*r + 116*f**2*r**2 + f**2*r + f*r + 43*f + 7*h*r + 1676*r**2 - 4*r wrt r.\nAnswer: -6*f**2*h + 232*f**2 + 3352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(112) + (sqrt(112)*1 + sqrt(112))**2 - sqrt(112))*6 - (sqrt(7) + 2*sqrt(7) + 0 + (sqrt(63)*1)\/sqrt(9))*3.\nAnswer: -12*sqrt(7) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6992 is divided by 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25195.948 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, 1, 4 in descending order.\nAnswer: 4, 1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:02 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/48 and -47\/711102.\nAnswer: 5688816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.129, 3, 1.91, -2, -1.3.\nAnswer: -2, -1.3, 0.129, 1.91, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 - 66*s**2 - 375*s\/2 - 123.\nAnswer: -3*(s + 1)*(s + 2)*(s + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 151, 38, 1\/3, -9, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/41))**(-2)\/(v**(-37)*((v**5\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(1357\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58951 and 67.\nAnswer: -3949717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23\/184 - 11234\/656\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzzttzztztzzpzuuz. What is prob of sequence puz?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 (base 9) in base 5?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 241 = 45. Suppose -7*s = k - 5. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22340932267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2854988 and 728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 205, 411, 619, 829, 1041, 1255?\n\"Answer: q**2 + 203*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7351, 7353, 7355, 7357, 7359?\n\"Answer: 2*d + 7349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d + -1b0712?\nAnswer: -1b0694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740406762 to the nearest integer?\nAnswer: 27210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 11. Let j be i\/(-8)*6\/(-5). Solve -3*a = a + 16, -12 = -j*q + 3*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -11*j**2 + 3. Suppose 0 = 4*y + 170 - 194. Let r(b) = 23*b**2 - 5. What is y*r(c) + 10*a(c)?\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/369 + -80\/369. Let x be (4 + 1)*(3 - 2). Sort z, -1, x.\nAnswer: -1, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 27 = 4*t - q, t = -5*q + 54. Let i(k) = k + 117. Let j be i(0). What is the highest common factor of t and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxxhhhx. Give prob of sequence xhh.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3013113 (base 5) to base 4.\nAnswer: 23230210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/8*2\/(-3). Solve 3*d + 9 = 0, -n*p - d = p + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3\/4 + 249*v**2\/4 - 4869*v\/2 + 12204 = 0. Calculate v.\nAnswer: -113, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1048585cm?\nAnswer: 1048.585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 28*z**2 - 28*z + 30. Let y(q) = 28*q - 236. Let p be y(9). What is the units digit of s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/49427 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**3\/6 + w**2 - 3*w. Differentiate i(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18313, -66304, -143983, -251350, -388405?\n\"Answer: -14844*y**2 - 3459*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 8. Solve -25 = 2*j + 3*j - 5*l, 0 = -o*j + 2*l - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12905314.3 to the nearest one thousand.\nAnswer: 12905000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 9*q = -5. Let x(l) = -2*l**2 - 12*l - 6. Let o be x(q). Solve 5*i = o*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -991, -2138, -3459, -4954?\nAnswer: -6623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(15*k + 21*k**2 + 2 - 43*k**2 - 12*k**2).\nAnswer: 136*k**2 - 60*k - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -252770 or -253783?\nAnswer: -252770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/21 in 2\/53, -5, 0.27, -4?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 5*g**2 + 6*g + 1. Let y be m(-6). Let j = -11 - y. Let l be 5\/(-15) - j\/(-45). Which is the closest to -0.1? (a) l (b) -9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.4 and -0.005?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**23*q*q\/(q*q*q**(-12)*q) assuming q is positive.\nAnswer: q**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 2*q**2 + q**2)*(10*q - 5 + 5)*(-34 - 30 + 66 + 49*q).\nAnswer: -490*q**4 - 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -645.8.\nAnswer: -6458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499.993 weeks in minutes?\nAnswer: 45359929.44","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*d + 112*d = 870. Which is greater: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 3096541?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q = -13*q + 49016. Let t = q + 80239\/36. Find the common denominator of -41\/72 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91002, -181529, -272104, -362751, -453494, -544357, -635364, -726539?\nAnswer: -817906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 83. Let u be n(42). Let v(m) be the first derivative of -10*m**2 - m - 3. Give v(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2097 greater than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {k: 1, t: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100001011 + 1100010?\nAnswer: -11010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*o = 125, o + 4*o = -l + 25. Let v be (l\/2)\/(7\/54). Let q = v - 96. What is the nearest to 0 in -2\/3, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, y: 4, v: 5}. Give prob of sequence syy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26977 and 1018.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.4 + -6. Let c = 0.1 + v. Let x = 71 + -69. Put -1, c, x in decreasing order.\nAnswer: x, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000998 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4380954 is divided by 634.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129238 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 6*n + 7*n + n + 2 to i*n**2 + v*n + o*n**3 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.819 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -182, -190, -212, -254, -322, -422?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26742155 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 - 2 - 1 + 4 - 1 + 1 + 2 + (-2 + 3 - 2)*(-2 - 3 + 6) - 2 + 4 + 0)*(-2*u**3 - 4*u**3 + 3*u**3)*(33 - 16*u**2 - 33).\nAnswer: 288*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + b. Let c(p) = 5*p**2 - 2*p. Let n = -1426 - -1409. Give n*h(g) - 6*c(g).\nAnswer: 4*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50 and -124561.\nAnswer: -124611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185 divided by -35?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20222, 20224, 20226, 20228, 20230, 20232?\nAnswer: 20234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8*i**2 - 3*i**2 - 1.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.7562 - -0.0438. Let t = i - 6.81402. Round t to four decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1190, -2323, -3438, -4535?\nAnswer: -5614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (0 + 1 + 123 + -134)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-75)\/210*7\/(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -980187 (base 10) to base 9\nAnswer: -1753506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -16 - (-21 + 7) - (-4 - 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6)*-1*-22. Let q = -5 - g. Suppose -5*b = -3*b - q. Solve o = 4*o - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 80, 3679, 2.\nAnswer: -5, 0, 2, 80, 3679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -15. Let s be (-4)\/n - 4\/30. Which is the closest to s? (a) -0.2 (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6401 or 6402?\nAnswer: 6402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 42. Let t be j(14). Solve x - 1 = -g - 5, 5*g - 3*x - 12 = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/99 + -118*5\/22\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/17 - -133\/85. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 146 = 149, -3*f - 4*v + 21 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/411 or -230?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324.8 + -324.8. Which is the nearest to y? (a) 2\/543 (b) -7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*q + 266995, 203835 = -4*a + 4*q - 152161. What is a rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 3*k + 2. Let b be s(2). Let w = 73 - 68. What is the second derivative of w*r**4 + 3*r - r**b - r wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 978.1 + -978. Sort 0.27, -4\/7, o in decreasing order.\nAnswer: 0.27, o, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 34 = 5. Solve -2*m + 5 = r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 1180*m + 1184*m + 1 = 0, 0 = 4*x + m - 3*m + 58 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/4 - 91*z**3\/2 + 423*z**2 + 3*z - 297. Factor j(g).\nAnswer: -3*(g - 3)*(g + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1330824978 by -6.\nAnswer: -221804163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12239+32\nAnswer: 12271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f = 3*f + 20*f + 5*f + 286 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 52*d**2 + 10*d + 2671. Let j be v(53). Calculate the highest common divisor of j and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**2\/5 - 161508*r - 807537\/5 = 0.\nAnswer: -269179, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(2 - 1) + 4. Suppose -l*w + 12 = -2*w. Let i = w + -6. Solve i = -y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*o**5*u**3 + 4*o**3*u**3 + o**3 + 3*o**2*u**2 - 5*o**2 - 66*o*u**3 wrt o.\nAnswer: 6420*o**2*u**3 + 24*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*m + 2*m - 252, 5*w + m - 319 = 0. Let h be w\/12*(-45)\/(-4). Suppose k - h = -2*k. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 1. What is the closest to -0.1 in 0.3, o, 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 91b3b?\nAnswer: -91b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + 33\/5 - 44934\/(-10)?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7261 - -7260. Let u = -11 - -32. What is the fourth biggest value in -0.2, -2\/11, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2175978, 2175977, 2175976, 2175975?\nAnswer: 2175974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:01 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l*r*v - l*r + 3*l*v**2 + 12*l + 2*r*v**3 + 366449*r*v**2 - r*v + 16696*v wrt v.\nAnswer: 6*l + 12*r*v + 732898*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a4 - -9586?\nAnswer: 977a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 6*f - 6. Let h(w) = -3*w**3 + w**2. Let p be h(-1). Let y be r(p). Suppose 5*t + 5*x - 535 = 0, 0 = 3*t + y*t - x - 529. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-21) - 3) + (-55758)\/1722 + 33?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 1, l: 8, p: 1, j: 4}. Give prob of sequence pjj.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1429 * -0.01\nAnswer: 14.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 4*u**3 - 1 + 205*u**2 - 49*u**2 + 19*u**2 to the form f + m*u**3 + x*u**2 + z*u and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 303ec9 (base 15) in base 16?\nAnswer: 22f785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5388359*b**3*y + 2*b**2 + 115*b*y + 12*y - 1391 wrt b?\nAnswer: -32330154*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2819.4 * -8.\nAnswer: 22555.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 326000654.\nAnswer: 326000654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.086 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11100101000010001 (base 2) to base 6\nAnswer: -2302521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 32*x**2 - 36*x - 6. Let k be z(-3). Calculate the highest common divisor of 26 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 11. Put -2\/5, 10, q in increasing order.\nAnswer: q, -2\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9324503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.50462 to two decimal places.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 789352607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265.7289924 rounded to 1 dp?\nAnswer: 1265.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 4*r - 8, 3*r + 6 = -2*h. Find the third derivative of 3*d**4 + h*d**4 + 2*d**2 - 3*d**2 wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((8 - 3) + -5 + (2 - 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/4 - 46*z - 185\/4 = 0.\nAnswer: -1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 19849247?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4202424340 (base 5) to base 9\nAnswer: 17226852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 14 = 3*p, -3618*p + 10*i = -3616*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4718b - -2b?\nAnswer: -47160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 7*d + 5*d**3)*(0 - d**2 + 0) + 5*d**5 + 0*d**5 - 4*d**5 + d**5 + d**5 - d**5 + (1 + d - 1)*(-2*d**4 - d**4 + 0*d**4).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 a factor of 309610236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*f + 12 = 0, -157*f = -u - 153*f + 36. What is the highest common factor of 476 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/6 - 5142*a**2 + 123421*a\/6 - 15428.\nAnswer: -(a - 3)*(a - 1)*(a + 30856)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:32 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 709\/1190 + 1\/238. What is the smallest value in -5, c, 15, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -13202230?\nAnswer: 5280892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 53. Let s(k) = -22*k**3 - 2*k**2 + 13*k - 5. Is s(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1742, -1742, -1750, -1772, -1814, -1882, -1982, -2120?\nAnswer: -2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.5507 to one dp.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.054, 0.221, -341 in ascending order.\nAnswer: -341, 0.054, 0.221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 3*c - 5. Let j(v) = -2*v**2 + 2*v + 2. Determine 5*j(i) + 2*q(i).\nAnswer: -6*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*k + 1675*k - 709*k + 1732*k + 53*k.\nAnswer: 3251*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 17*v**4\/12 - 169*v. Let p(m) = -2*m. Determine r(p(n)).\nAnswer: 68*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1524\/(-19431)*(1 + (-132)\/24)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**5 + 2*i**4 - i**2 + i + 1. Let x(l) = 2*l**5 - 4*l**4 - 2*l**3 + 9*l**2 - 8*l + 1. Let r(b) = u(b) + x(b). Factor r(h).\nAnswer: (h - 1)**4*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-35) - (-260)\/28. Suppose m*w - 11*w + 44 = 0. Calculate the remainder when 85 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, g: 1, t: 1, f: 3, o: 1, u: 2}. What is prob of picking 1 f and 3 k?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 19*j**2 - 123*j + 2610. Determine a(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/100, 2\/9, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 97012128*r - 291036375.\nAnswer: -(r + 3)*(r + 97012125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2495 + 305. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6256 divided by 391.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(360)*3)\/sqrt(8) - (0 + sqrt(45) + -2))**2.\nAnswer: 144*sqrt(5) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 5. Let b be v(-4). Let j(t) = 2*t - 17. Let l be j(0). Let s = l + 18. Sort -5, b, s in increasing order.\nAnswer: -5, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2512*j + 1914 - 340 + 929 wrt j?\nAnswer: 2512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 17*x - 675. Give h(36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -29, -6, 39?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2140 = 8*t - 4*t. Let b = 528 - t. Let m(p) = p**2 + 9*p - 1. Give m(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.025 + 0.325. Let s = 2.33 + -0.43. Let u = s - 2. What is the closest to u in a, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 116*f**2 + f - 1. Is 45 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/2 - (-2)\/4. Let i(x) = x**2 - 3*x - 4. Let g be i(6). Let j = h + g. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*m = 23, 3*c - 22 = 4*m + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(-3150)\/105.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*1\/27)\/((-1)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 284, 5, 1\/22, 17\/2 in descending order.\nAnswer: 284, 17\/2, 5, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*x = 33*x + 49786. Suppose -x = -v - 3*p + 2*p, -5*p = -4*v + 3230. What is the greatest common divisor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*j = 42, 4*k + 4*j = j + 39. Suppose -5*l = 0, 0 = -3*p + l - 0*l - k. What is the lowest common multiple of p\/(-6) - (-8)\/6 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2. Let g(n) be the second derivative of 197*n**3\/3 + 8*n + 3. What is j(g(f))?\nAnswer: -310472*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 504053615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*v + 20 = 2*u + 188*v, 2*v = -2*u + 14. Let a(j) = j + 3. Let y be a(5). Solve -u + y = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 take away -7.8?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -308 (b) 5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 751 + -744. Suppose c - 4*m + 24 = 5*c, 2*c - 4*m - 42 = 0. Let r = c + -8. Solve s + h = -3*k, s = -0*s + r*k - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1163*w + 788*w - 1431*w to j + h*w and give h.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-689632)\/(-160) - (2 + 27\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (-1 + sqrt(192))*3 - sqrt(192) - (sqrt(192)*2 + -1) - (sqrt(36)\/((sqrt(84)*-2 + sqrt(84))\/sqrt(7)) + -4)) + 4)**2.\nAnswer: 108*sqrt(3) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(13\/39). Sort -3, 5, 2, z in increasing order.\nAnswer: -3, z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -317, -1270, -2857, -5078, -7933?\n\"Answer: -317*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqvqxqx. What is prob of picking 1 v, 2 q, and 1 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q + 8*q = 174 - 18. Which is the closest to 2? (a) 0.03 (b) q (c) 1\/8 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*d**3\/3 - 72240776*d**2\/3 + 93191581450528*d\/3 + 53252355846272\/3.\nAnswer: 2*(d - 2580028)**2*(7*d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -62. Suppose j = -69*x + 64*x + 575. What are the prime factors of x?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/6 + 8*l + 10. Let z(x) = 8*x**2 + 2. Give k(z(y)).\nAnswer: 128*y**4 + 64*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.724 (b) 0.5 (c) -1\/5 (d) -3\/5 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*d - 10 + 64*d + 16 - 6.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124656 is divided by 7332.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - a - 77. Let s(w) = -4*w**2 + w + 115. What is 7*m(r) + 5*s(r)?\nAnswer: r**2 - 2*r + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000241912 rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 9. Let t = -24\/13 + 242\/117. Let k = -5757.9 - -5758. Which is the smallest value? (a) k (b) t (c) -0.7 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 1, f: 1, z: 3, p: 3, e: 2}. What is prob of sequence fpze?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c\/c**(7\/3))\/c*c*c**(5\/2))\/(c**(-1\/3)*c**(2\/3)*c)*(c**(-9)\/c**(-1\/7))**27 assuming c is positive.\nAnswer: c**(-9925\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) + (1 - -1). Let k = 3 - o. Suppose y - 2*q - 16 = 0, -1 + 3 = -3*y - k*q. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yggylyy. Give prob of sequence yg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - -13)\/(2\/8). Let f be -11*(-6)\/(15 + 3). Is g greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/9 + -128\/63. Let o = 47\/11 + -177\/44. Which is the second smallest value? (a) o (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5852\/19)\/(-22) - -22. Let r(p) = -p**3 + 3*p**2 + 3*p + 2. Let o be r(-2). Solve u = 2*a + o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4.6. Let i = s - -0.5. Which is the nearest to 0.2? (a) 5 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -2342?\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 49. Let c(p) = p + 16. Determine 8*c(l) - 3*n(l).\nAnswer: -l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6303, 6302, 6301, 6300, 6299, 6298?\nAnswer: 6297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpp when three letters picked without replacement from {p: 3, x: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 6104*a**2 + 341068*a - 334960.\nAnswer: -4*(a - 53)*(a - 1)*(a + 1580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k - 3. Let g be m(1). Suppose 0 = -g*h + 4*x - 4, h = -x - 2*x - 2. Let y(a) = -304*a**3 + a**2 + 3*a - 1. Is y(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(1007\/(-342))\/53.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/4, -1.3, -1.4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4 + 8*t**3 - 72*t**2 + 160*t - 112 = 0.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*k**2 - 3 + 2 + 1.\nAnswer: 301*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)\/k*k)**(-1))**15 assuming k is positive.\nAnswer: k**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-2))\/((-12)\/(-236))*-262?\nAnswer: 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -58. Put 2, 0.2, -0.3, v in decreasing order.\nAnswer: 2, 0.2, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.071, 3, 38\/3, -4?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 - 1348*r**4 - 124840*r**3 - 3463152*r**2 + 3589344*r = 0. Calculate r.\nAnswer: -206, -66, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.034 + 0.034. Let y = 0.3 + 0.2. What is the nearest to j in -5, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6692)\/98 - 2\/(-7). Let o = -44 - y. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 18 = -5*k + k, 0 = 3*j - k + 20. Is j + 3 + 12*226\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1\/(-2)*0. Let x(s) = -s**3 - 8*s**2 + 2*s + 21. Let o be x(-8). Suppose -3*t + 11 = -p, 5*p + k*p - o = -5*t. Solve -t*d + 0*d - 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.84 - 7. Let n = 1289021 + -1289021.15999958. Let k = n - j. What is k rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 9*d = 121. Let j = 19 - 12. Calculate the lowest common multiple of j and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19753271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-326)\/815)\/(2*(66\/6160)\/((-18)\/3)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - x**2 - 2*x + 3. Let j(q) = q - 8. Suppose 0 = -5*t + 9 + 1. Suppose 5*s = m - 34 - t, 5*m - 3*s = 70. Let h be j(m). What is y(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*n, 89*n = 5*u + 90*n - 382. Solve -76*q = -u*q - 8 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 29. Suppose -20 = 10*d - 15*d. Suppose 2*i + f - d*f - 39 = 0, -4*f = 5*i - 40. What is the remainder when b is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190 - 224) + 1 + 6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569\/8363 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + k = -35. Let t(f) be the second derivative of 7*f + 3\/20*f**k - 1\/2*f**3 + 0 + 3*f**2 - 1\/2*f**4. What is j in t(j) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57342*k = -57892*k + 23650 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1423.6 - 1421.6. Sort t, 213, 1, -5, -2.\nAnswer: -5, -2, 1, t, 213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.9 + -6.7. Let l = 489 - 490.3. Let m be 6\/(-1)*4\/18. What is the second smallest value in q, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46224758 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21355 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182.1 or 0.1?\nAnswer: 182.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21837*-3.\nAnswer: -65511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggvgggvgggggvgg. Give prob of picking 1 v and 2 g.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 337, 1, 5, 0 in ascending order.\nAnswer: -8, 0, 1, 5, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - -1.3. Let l = -115\/4 + 29. Sort 2\/11, l, n in descending order.\nAnswer: n, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -c, 4*f - 4*c = -0*f + 40. Suppose -2*a - u + 6 = 0, f - 3 = -a + u. Solve a = 8*r + 33 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1819*q**3*v + 254*q**2*v - q**2 wrt q?\nAnswer: 10914*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88845, -177718, -266591, -355464, -444337?\nAnswer: -533210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 + 21135*x**2 + 8426952*x + 33369840 = 0. Calculate x.\nAnswer: -6621, -420, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**7\/2520 + m**6\/144 + m**5\/60 - m**4\/8 - 2*m**2. Let y(j) be the second derivative of x(j). Calculate y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32393229 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 + 5*l**2\/2 - 3*l - 4939. Calculate j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a factor of 65612934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -954, -944, -934, -924, -914, -904?\n\"Answer: 10*o - 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + -37. Let b = 1592 - v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -9. Suppose 0 = -y - 3*y + 8. Suppose -34 = -y*x + 20. What is the remainder when x is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-388)\/(-14) - (-4)\/14. Let m = -19 + d. Solve -5*w + 16 + m = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904147965.\nAnswer: 3, 5, 7, 19, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118.1 + -118. Which is the nearest to -1? (a) -0.04 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.1 (c) 1 (d) -0.7 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aaa2 + 10?\nAnswer: aab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 24*z - 1. Let q(v) = -2*v**2 - 46*v + 1. Let g(x) = -11*o(x) - 6*q(x). Let a be g(0). Solve 4*t = -a*r - 36, -5*t - 29 + 9 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15892547268 to 5 decimal places.\nAnswer: -0.15893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 + -24.6. Let w = 21 + k. Sort -2\/7, -2\/3, w.\nAnswer: -2\/3, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 495 + -500. Let z(b) = 2*b - 3*b**2 - 7 + 0*b + 4*b**2. Does 8 divide z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-4)\/8*1)\/2. Suppose -3*x - 5 = 2*x. Which is the nearest to h? (a) -2 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678049 is divided by 64?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41\/2 of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130480.99 rounded to the nearest 10?\nAnswer: -130480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887521.59 minus 3?\nAnswer: 2887518.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94315791382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90280 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**4\/4 - f**3 + f**2 + 2*f + 3. Let c be n(-3). Let b = 2.7 + -2.5. Put b, -3, c in increasing order.\nAnswer: c, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52414 + -3215?\nAnswer: -100033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 3, f: 1, t: 6, h: 1, u: 6}. Give prob of picking 2 o and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184138779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 263 = g + 260, -5*c + 5*g - 15 = 0. What is the second smallest value in -6, 4\/3, -18, c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30322330 to the nearest 100000.\nAnswer: 30300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*j - 94. Calculate the remainder when 40 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3168 divided by 3\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27356 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:05 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-280)\/(-96))*(-420)\/378.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34073 plus 6673.85?\nAnswer: -27399.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, -1\/184, -1\/8, -4\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703746 divided by 39097.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 177 = 30. Let r = -15 + 32. What is the remainder when b is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65\/584 + 1\/73. Let r = -7.3 - -7.67. Let v = -0.03 - r. Sort n, v, -2 in ascending order.\nAnswer: -2, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*i**3*t**3*v**2 - 745*i**3*t*v**2 + 2*i**3*v**2 + 3*i*t**2*v**2 - 64*t**3*v**2 wrt t.\nAnswer: -714*i**3*v**2 - 384*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z. Let r(j) = 1. Let u(b) = 11*b**3 - 7*b**2 + 2*b + 12. Let k(q) = -6*r(q) + u(q). Let d(g) = -5*k(g) - 35*n(g). Factor d(v).\nAnswer: -5*(v - 2)*(v + 1)*(4*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43350 and 3700?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4 - 1 + 5 - 220*l + 224*l. Let x(m) = -11*m. Let k(d) = -4*d. Let z(r) = -8*k(r) + 3*x(r). Give z(a(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 5 - 4*n**3 + 6*n**3 - 7*n + 6*n to the form p*n + c + a*n**3 + x*n**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443*k**5 + 8412*k wrt k?\nAnswer: 8860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**2 + d**2 + 3*d**2 + (-3*d + 3*d - 3*d)*(d + 2*d - 2*d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 7*r - 4. Let k be j(7). Let p = 7 + k. Let g = 22 - 19. Solve 0 = 3*h + 7*t - 3*t + 12, -g*h = t + p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(240)\/sqrt(192))\/((sqrt(16)*-1)\/sqrt(4)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/19)\/(c**(-5\/4)*c*c) assuming c is positive.\nAnswer: c**(-65\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {m: 6, t: 4, o: 10}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 10*w = 384. Put 0, -3, w in ascending order.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*z - 5*s, -4*z + 1226*s = 1228*s - 5 + 29 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 29*p - 13 = 24*p, -16 = -4*u + 3*p. What is the highest common factor of 238 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -683639\/84870 - 2\/4715. What is the common denominator of 8\/(-32) - (-73)\/(-4) and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4495086 != 4495094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {r: 2, o: 14, j: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.01241 - 11.5995. What is i rounded to 2 dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*k - 10*k - 5*k**2)*(3*k - 5*k + 0*k) + k**3 - k**3 + 6*k**3 + (0 - 2*k**2 + 0)*(3*k + k - 5*k) in the form q*k + y + b*k**3 + d*k**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 51 = -5*t. Suppose -t - 6 = -2*k. Let m = -6 + k. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 + 193 = -74*j + 186*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - f = 2, 4*f + 6 = f. Suppose 2*t = -5*j + 30, 3*t = t + 4*j - 6. Suppose 3*l + 189 = 2*i + 2*l, t*l + 5 = o. Does 35 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108802*z**2 - z - 79493.\nAnswer: 217604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56202965 - -8.\nAnswer: -56202957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -8 - 8) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5855496 to the nearest 10000.\nAnswer: -5860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70922, 70854, 70798, 70760, 70746, 70762?\nAnswer: 70814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -314.627692 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.12 and -39843878397.\nAnswer: -39843878396.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-3) - (0 - -2))\/1. Are k and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.9 and -704924.\nAnswer: -704925.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**5)\/(((t*t**5)\/t)\/t))\/((t**(-13)\/t)\/(t**(-6)*t)) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 4:56 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t**3 - t**2 - t + 1. Let v be g(-1). Let q be (-5)\/20 + v\/(-4). Suppose -q - 3 = -d. Solve -2*m + 5 = -5*n, 3*n - 6*m + 3*m = d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 32 = -3*i, 0 = -2*x - 7 - 1. Suppose 0 = 3*t + 3. Suppose -z + 16 = -5*w, w + 5*z = -2*w - 32. Put t, i, w in decreasing order.\nAnswer: i, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -497 or -505?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 476, 712?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7786, 7785, 7784, 7783, 7782, 7781?\n\"Answer: -b + 7787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 6) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p = 11*p + 16 - 348 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 22*j**7\/105 - 7*j**5\/6 + j**3\/3 + 2*j**2 - 22. Find the third derivative of u(h) wrt h.\nAnswer: 1056*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -182 + 2. Let u(m) = 40 + c - 5*m - 76. Let f(t) = -2*t**2. Give f(u(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.04 (b) -0.34 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 11*z**2 - 12*z - 5. Let y be o(12). Let j = 553\/6 - 181\/2. Let w be ((-3)\/(-66))\/(((-2)\/(-2))\/(-4)). What is the smallest value in j, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -0.4, -127886 in decreasing order.\nAnswer: -0.4, -12, -127886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 376967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-297)\/(-84) - 2\/7 - 618\/(-824). Let n(p) = 2*p - 15. Let f be n(10). Put h, 3, f, 2 in decreasing order.\nAnswer: f, h, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 1, t: 1}. Give prob of sequence htf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3790987 hours?\nAnswer: 1364755.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(140\/(-5)))\/((6\/(-3))\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 37, 47, 57?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2570 and -87\/73502?\nAnswer: 367510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from ckoqoqooc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 16 = -3*p + 2*s, 4*p - s - 26 = 0. Suppose 0*n = 2*n - 72. What is the greatest common divisor of p and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 79*b**2 + 3*b - 34. Let s(d) = -16*d**2 - d + 1. Calculate 5*s(g) + v(g).\nAnswer: -g**2 - 2*g - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -23.102.\nAnswer: -23.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*a + 19*b + 24 = 2*a, -65*a = -74*a + 4*b + 49 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 995 - 995 - 232595*a**2.\nAnswer: -232595*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/sqrt(9))**2 + 1*sqrt(112).\nAnswer: 4*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - -74. Suppose 224*g - 202*g = 44. Suppose 0 = -g*c + 3*w + 104, 0 = -3*c + w + 43 + y. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021607398 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40\/17 - -1914\/799. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 207*z**3 + 4 - 460*z**3 - 131*z**3.\nAnswer: -798*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**6\/1260 - m**5\/315 + m**4\/252 + 2*m**3\/63 - 6*m**2 - 19*m. Let l(q) be the first derivative of i(q). Factor l(x).\nAnswer: -2*(x - 1)*(x + 1)*(x + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/34 + 17\/(153\/18). Let d = -1 - -3. Let w be (-4)\/(-5) - (d - 1). What is the closest to 0 in 2\/19, n, w?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*t**5 - 2*t**3 - 5*t - 5 wrt t.\nAnswer: -140*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -286 + 331. Calculate the remainder when 266 is divided by u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 2227*u - 11106. Calculate q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -192, -5, -2 in descending order.\nAnswer: -1, -2, -4, -5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 532037, 1064069, 1596087, 2128085, 2660057, 3191997?\n\"Answer: -u**3 - u**2 + 532042*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:52 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -47, 2, -6\/17, 4, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (0 + (2 - 15) + (29 - 32))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -52.77, -0.044 in descending order.\nAnswer: -0.044, -17, -52.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -136*f**2 - 112*f. Suppose -k - 8*k = 72. Let q(z) = 205*z**2 + 168*z. Let i(o) = k*n(o) - 5*q(o). Find the second derivative of i(v) wrt v.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*o = -287*o + 77720. List the prime factors of o.\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1828, -0.2 in ascending order.\nAnswer: -0.2, 3\/2, 1828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h**(-1\/4)\/h)\/h*h)\/h)*h\/(h\/(h\/(h*h*h**(1\/3)*h))))\/(((h*h**(-2\/11))\/h)\/(h*(h\/(h*h**2))\/h)))**4 assuming h is positive.\nAnswer: h**(-119\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3330\/(-120)*(-60)\/(-9). Let p be (-407)\/r + 1\/(-5). Let s(c) = 13*c**2 + 5*c - 5. Let b(u) = -6*u**2 - 2*u + 2. Calculate p*s(q) + 5*b(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -1\/10*h**5 - 6*h**2 - 1\/120*h**6 + 1\/3*h**3 + 0*h - 1\/24*h**4 + 0. What is t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 bigger than 17393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 2*t**2 + 0*t**2 to p*t + x + w*t**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = 3*v, v - 1 = 2*c - 0*c. Suppose c*s + 4 = 4*s, 5*y - 4*s = 21. Suppose 2*a - y = -3*a. Solve 0*b + b - a = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7753770072 to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 31. Let b(j) = j + 20. What is the remainder when 58 is divided by b(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438324588805 + 22.5?\nAnswer: -438324588782.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2 - 944*y + 20884. Calculate d(-177).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/11, 0.1, 0.05, 1\/16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -394\/5 - -80. Factor -27\/5*l - x + 33\/5*l**2.\nAnswer: 3*(l - 1)*(11*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*i**4*t + i**4 + 1807*i**3*t**3 + 1296*i**2 + 2*i + 4*t**3 + t**2 wrt i?\nAnswer: -672*i*t + 24*i + 10842*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -21. Let g = -1 + f. Let x = 2661 - 2661. Solve x*p - g = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*k - 5 = -x + 354*k, -69 = 19*x + 3*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1542*s + 150 - 775*s - 765*s.\nAnswer: 2*s + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -21. Suppose u = 4*x - 151. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - v**2 + 0)*(5*v - 4*v + v) + v**2 - v**3 - v**2 + v + v**3 - v + 4*v**3 + 6*v**3 - 19*v**3 in the form t + b*v**2 + k*v**3 + d*v and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7308527 and 35313.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101101000011011101 - 10?\nAnswer: 10101101000011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37169274 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1686195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -86744272.14 to the nearest 1000.\nAnswer: -86744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**5 + 177*x**4 - x**3 + 2950*x - 8 wrt x?\nAnswer: 80*x**3 + 2124*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**4 - 16*t**3\/3 - 8*t**2 + 58. Determine z so that b(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + 2*w + 10. Suppose -9*b + 5 = -7*b + 3*x, 0 = 4*x + 4. Let r(c) = -7*c**2 + 4*c + 19. What is b*r(j) - 9*v(j)?\nAnswer: -j**2 - 2*j - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s - 1. Let h(l) = -l**2 - 3*l + 3. Let q = 2621 + -2620. Calculate q*h(w) + 3*p(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*f**2*l**2 - 3228*f**2*l + 61401*l**2 - 2*l wrt f.\nAnswer: -20*f*l**2 - 6456*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 4. Let o(w) = -834*w - 108. Determine -108*h(q) + 4*o(q).\nAnswer: -3228*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-33)\/9 - -4)*573. Suppose 3*w - 25 = m. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.13 - 0.13. Which is the third smallest value? (a) 2\/7 (b) s (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**3 - 8*n**3 + 1 - n**3 + 4*n**3. Let z(h) = 3*h**3 - 7*h**2 + 10*h + 7. Let m(v) = 4*t(v) + z(v). Is m(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 - -106.002. Let r = i - 0.202. What is the second smallest value in r, -0.02, -2, 1\/10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 0*w + 6*w)*(2*w + 0*w + w) + 4*w**2 + 9*w**2 - 6*w**2 to the form n*w + u*w**2 + f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 >= 1029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -9*g - g + 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 2:22 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151296 and 788.\nAnswer: 151296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8866, 8863, 8858, 8851?\nAnswer: 8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, 123, 416, 835, 1374, 2027, 2788?\nAnswer: 3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7350, -2\/7, -62.4 in increasing order.\nAnswer: -7350, -62.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(126) - sqrt(126)*3 - sqrt(126))\/sqrt(7))\/(sqrt(72)\/((sqrt(192) - sqrt(12))*-3 - sqrt(12))).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287191 is divided by 160?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-320)\/(-30)))\/(1\/(192\/(-18)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -217 - -13806. What are the prime factors of f?\nAnswer: 107, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 3, -2*y = -3*d + 3. Solve -5*x = j - 5, 4*j + 7*x + 12 = y*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(5) + sqrt(5) - (sqrt(405) + 1 - sqrt(405)) - 3*(-2 + sqrt(5) + 2 + sqrt(5)).\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Let a(s) be the second derivative of s**6\/240 - s**4\/3 + 4*s. Let o(l) be the third derivative of a(l). Determine o(c(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 409*u - 203*u + 0 - 204*u + 0. Let b(y) be the third derivative of -y**5\/20 - y**2. What is b(l(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 148920 divided by -49\nAnswer: -148920\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, -4*d - 23 + 71 = -3*z. Calculate the smallest common multiple of 57 and d.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 11 = s. Let j be ((-15)\/10)\/(6\/s). Solve d = -3*d + j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(2*sqrt(2)))\/(sqrt(5) + sqrt(315)\/sqrt(7)) + -2*(-1*sqrt(72)*2)**2*2.\nAnswer: -1152 + sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-10 + 10 - 9*f)*(-2*f - 2 + 2)*(205 + 10*f - 16*f + 4*f).\nAnswer: -36*f**3 + 3690*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = c - 6*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbdbd. What is prob of picking 3 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558350051?\nAnswer: 31, 82527421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 11152 = -3023. What are the prime factors of d?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 + 0*h**2 + 2*h**2 + 3*h**2. Let v(q) = 59*q. Give v(g(b)).\nAnswer: 118*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 348 + -131. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 - 2*k + 2 + 15*k**2 + 23*k**2 + 0*k**2.\nAnswer: 50*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -28*c**3 - 16*c**2 + 16. Let b(z) = 9*z**3 + 5*z**2 - 5. What is -16*b(k) - 5*h(k)?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -89. Suppose h*t = 29*t - 44594. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162 + 174. What is the greatest common divisor of 444 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 - 6856605785*m + 6856605785*m.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1020 divide 686289626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 52 (b) 0.5 (c) -4 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 42.3 times -0.2\nAnswer: -8.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x - 2. Let g(f) = 500*f - 110. Calculate g(s) - 65*z(s).\nAnswer: -85*s + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -560, 0.02, 0.252.\nAnswer: -560, -2\/9, 0.02, 0.252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 600.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17217 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 409774 times -0.2\nAnswer: -81954.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 1, -1, 0 in ascending order.\nAnswer: -82, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t - 3. Calculate the remainder when (-23200)\/(-203) + (8\/(-7))\/4 is divided by d(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 42 = -4*t. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -119*k - 93. Solve -3*p = -k*f + 16, -2*p - 12 = 3*p + 4*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/10)\/((-44)\/(-110)). Let i = -0.82 + 1.22. Which is the closest to i? (a) x (b) -0.08 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -6, -295 in decreasing order.\nAnswer: -6, -19, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n**2 - 16*n**2 - 72*n**2)*(-5*n**3 + 8*n**3 - n**3) - 2*n**5 - n**5 - n**5.\nAnswer: -208*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-76)\/342 - (-3)\/(-108) and (-3 - (-121)\/21)*(-13)\/52.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5330 - -17298. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7763, -7775, -7801, -7847, -7919?\n\"Answer: -p**3 - p**2 - 2*p - 7759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -4*s**2 + 1\/100*s**5 - 1\/20*s**4 - 3\/10*s**3 + 3*s + 0. Suppose u(y) = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -229770*c*o + 4*c - 2826399*o - 1 wrt c?\nAnswer: -229770*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.7 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 126\/(-5)*(-45)\/18. Calculate the common denominator of -27\/7 and (35\/c)\/(1\/(-12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/40 and 19\/252.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16*g**3 + 5*g**2 - 2*g + 1. Give d(2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2)*(-4)\/50*10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*508\/(-6). Suppose 0 = 3*v - 2*f - 60 - 38, 5*f - 25 = 0. Calculate the common denominator of d*(2 + (-70)\/v) and 51\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**2 - 5. Let v be -15*(-6)\/(-9)*((-68)\/8 - -8). Let w(u) = 7*u**2 - 4. Calculate v*w(x) - 4*p(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a0 (base 11) in base 16?\nAnswer: e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*x - 16 + 2, 2*n - 4*x + 12 = 0. Suppose -n*p + 0*y = -y - 104, 0 = -5*y - 10. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + w - 54 = -4*b, -4*w + 62 = 5*b. Let a be 6\/6*(b - (-6 - -3)). Is -3\/2 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53808 divided by 8?\nAnswer: -6726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/789359 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 55*l - 63. Solve -r + 8 = l*h, 3*h + 4 - 16 = -r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5 + 5 + (-19 + 11 - 3)*(-o + 5*o - 2*o) + 5*o - 2 - 3*o - o)*(4 + 1 - 3).\nAnswer: -40*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Let a be g(-1). Sort a, -5, 5.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*k + 82*k + 41*k - 19*k as j + d*k and give d.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7502, 2, -1 in increasing order.\nAnswer: -1, 2, 7502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 30*r**2. Let y(j) = -12*j**2 - 1. Calculate s(y(a)).\nAnswer: 4320*a**4 + 720*a**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f + h + 203076 = 69*f, 0 = f + 3*h - 50769. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v = 96*v - 63*v + 9025. Calculate the greatest common factor of 38 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 72. Suppose -4 = -h - f. Solve -6 + h = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + 2 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3508?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -784 - -1167. What are the prime factors of h?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48*f**3*r**3 + 3767*f**3 - 10*f*r**4 wrt r?\nAnswer: 144*f**3*r**2 - 40*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y + 6. Let k = -42 - -46. Let d(m) = m**3 + m**2 + 2*m + 5. Let s(p) = k*d(p) - 3*j(p). Determine h, given that s(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 greater than 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Suppose -3*q + 2 = p, -w*p - 4*q = -2 - 2. Solve -4*t = -5*j + 2, -5*j + p*t = -0*t + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g**2 - 4*g + 3. Suppose -7560 = -12*j - 7524. Let c(v) = -8*v**2 - 3*v + 2. Give j*i(u) - 4*c(u).\nAnswer: 8*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-171)\/72 + 8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150064721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*b + 82, -14 = -b + 4*a - 2*a. Suppose b = 2*v + 8. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53142 - (-6)\/(-3)*8\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545113 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738585979.\nAnswer: 738585979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 - 8*d**2 - 2*d. Let f be r(3). Suppose 5*y + 4*p - 42517 = p, f*p = 12. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131935157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 2*m - 36. Suppose -m*z + 3100 = 6*z. What are the prime factors of z?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54173)\/(-15))\/(36\/(-9)). Let o = -4484\/5 - q. Find the common denominator of 43\/6 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9973 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*g - 406, d - 1 = -3*g + 410. Calculate the remainder when d is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 1, j: 1, g: 1, x: 1}. What is prob of sequence xj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -22*s + 167. Give y(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 306 = 5*g - 3*f, 2*f - 290 = -4*g. Factor -76*x**4 - 4*x**3 + g*x**4 + x**2 - 3*x**2 + 0*x**2.\nAnswer: -2*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 9*h - 54. What are the prime factors of 641\/7 + h\/(-21)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.7, 3\/13, -30?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5145530?\nAnswer: 2, 5, 13, 39581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.909 + -0.091. Which is the closest to 0.5? (a) 1 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*d + 196 = 0, 147 = -3*g - 0*g - d. Let m = -2159 - -2123. Let p = m - g. What is the remainder when 24 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 3*h**2 - h - 2. Let z be f(2). Suppose 2*p + 4*i = -10, p - 2*p - 3*i - 10 = z. Let g = -49 - -47. Put p, -5, g in decreasing order.\nAnswer: p, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lapglplfpffafalpaflp. Give prob of picking 2 f.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 11. Let x = 8997\/2 - 46747\/10. Let o = x + 174. Which is greater: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 82. Let c be o(0). Suppose -4*f + 130 = 5*j, j - c + 27 = 5*f. What is the derivative of -8*v**3 + j*v - 30*v - 4 wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 602 = -548. Let u(f) = -22*f + 9. Let v(a) = -4*a - 10 + 4*a + 22*a. Let j(n) = w*u(n) + 4*v(n). What is the first derivative of j(c) wrt c?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*3*(-2)\/(-18). Let d be (12\/(-6))\/(1*p). Let j(a) = 9600*a. Let b be j(d). Round b to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - (-5)\/(-8). Let r = -58 + 50. Let b be ((r\/3)\/4)\/((-78)\/(-18)). Are y and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 67*h + 13230. Calculate m(-198).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23518*h + 4639.\nAnswer: 23518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 21*z - 103. Let y be i(5). Solve 5*g - y*c - 2 = 0, 2*c - 3*c + 12 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.75 + 3.4. Let f = 0.75 - o. Which is smaller: -14 or f?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38106 not equal to 38106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 131*l**2 + 56*l - 132*l**2 - 60*l.\nAnswer: -l*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let x(z) = 17*z + 5. Let o(k) = -5*j(k) + x(k). Let t(q) = 6*q + 4. Determine -5*o(h) + 6*t(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = 3*t, -2*t - m = -3 + 10. Which is the closest to -2\/3? (a) t (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5595 by 373.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16527 or 803?\nAnswer: 803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, 0.4, -4 in decreasing order.\nAnswer: 0.4, 0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56, 113, 170, 227?\n\"Answer: 57*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 17978.\nAnswer: 1797.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11544*h + 23*h**2 + 11544*h.\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -4, -2\/9, -70\/3, -0.02.\nAnswer: -70\/3, -4, -2\/9, -1\/6, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 64*c**3 + 62*c**3 + 43*c**3.\nAnswer: 165*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4\/6 + 85*s**3\/3 - 1865*s**2\/6 + 1190*s - 1470.\nAnswer: -5*(s - 14)**2*(s - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480641861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 47*c**2 + 460*c + 20. Let p be q(-10). Calculate the greatest common divisor of p and 4120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81, 163, 247, 333, 421?\n\"Answer: z**2 + 79*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -41*l**2 - 106 - 40*l - 45*l**2 + 51*l**2. Differentiate z(p) wrt p.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g. Let d(w) = -145*w**2 - 792*w + 87. Calculate d(x(z)).\nAnswer: -11745*z**2 - 7128*z + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n - 1. Let h(z) be the first derivative of -7*z**2\/2 + z + 2. What is 5*h(b) + 4*w(b)?\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -1\/4, -32, 1\/55?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/27 and -121\/2142.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) + (-58)\/(-18). Suppose -2 = -n*m + 13. Solve f + 0*f = m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/581 and 19\/28.\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11276 + -721?\nAnswer: 10455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/3, 1, 0.01 in decreasing order.\nAnswer: 1, 0.01, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(396) - (-4 + 1*sqrt(396)) - ((sqrt(396) - sqrt(396)*-3) + 0)) + -2)**2.\nAnswer: -12690 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -2 - (0 + -1). Let y(m) be the first derivative of m**r - 2\/3*m**3 + 0*m + 2. What is the second derivative of y(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 8. Let k(f) = -f + 1. Let t(a) = -2*k(a) + y(a). Let w be t(-6). Suppose c = 4*c - w. Solve -5*n = -20, -n + 4*n - 32 = c*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - 5. Let y(t) = t - 1. Let v be y(0). Let u be -3*v*(-4 + 5). Solve -u*o + 35 = 4*h, 2*h + 3 = 3*o - d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 3, -1355, -4, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 15*c - 26 = 0, -175*l - 3*c + 10 = -174*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12565 = 57*p + 6211 - 11772. Calculate the remainder when p is divided by 309.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1288*s**3 + 17*s**2 + 0*s - 1294*s**3 - 5*s**2 + 0*s - 6*s**2.\nAnswer: -6*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v**2 - 4*v + 550. Let k(y) = 25*y**2 - 9*y + 1102. Give -3*k(b) + 7*u(b).\nAnswer: 2*b**2 - b + 544","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*o**3 - 38047 - 84*o**3 + 173*o**3 + 38047.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-6)*1\/5*6. Let k = 0.46 + -0.06. Which is the third smallest value? (a) k (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10215 and 35447185?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -2\/11, 1\/7, -2\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/89908 and 121\/80444?\nAnswer: 1528436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 4631 = 809. Let t = v + 253. Sort t, -1, 4 in increasing order.\nAnswer: t, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(9\/2)*a**(-20)*(a*a**(-2\/27))**(-38) assuming a is positive.\nAnswer: a**(-2737\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079228 rounded to 5 dps?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnw when three letters picked without replacement from {n: 2, z: 2, l: 1, b: 1, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**3 + 9*b**2 + 6*b + 8. Let h(n) = -4*n**2 - 3*n - 3. Let y be h(-2). Let k = 7 + y. Let x be t(k). Round x to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5555883, -11111757, -16667631?\nAnswer: -22223505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271.5 + 271.8. Let r = 0.18 + -0.18. Let x = 26 + -26. Which is the nearest to r? (a) -3\/7 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*f**2 + 4*f - 126*f**2 + 58*f**2 - 4*f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-15))\/(4\/(-12)). Find the second derivative of -10*t + 2*t**2 + j*t**2 + 3*t wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) 0 (c) -1\/5 (d) 2\/940793\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -608, -1695, -3514, -6071, -9372, -13423, -18230?\n\"Answer: -f**3 - 360*f**2 - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20268 by 12.\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 237 in -41, 1\/2, 0.3, 2\/7, -0.13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:05 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74295 is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2389 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-26) + (-82)\/26. Let y be u - (2 + (-1 - -4)). Let m = -4 - y. What is the remainder when 10 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, 1 b, and 1 s when four letters picked without replacement from sbykygx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150 and 2760?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - w**3 + w**3 + 14*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {x: 3, g: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b**3 + 64*b**3 - 70*b**3 + 77*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33463 divided by 1?\nAnswer: 33463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*r**3*y - r**3 + 7*r**2*y - 25*r**2 + 3*r - 57*y + 2 wrt r.\nAnswer: 42*r*y - 6*r + 14*y - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1744126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/39*-2*(-1)\/20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -1\/60*p**5 + 0 - 1\/24*p**4 + 203\/6*p**3 + 0*p + 6*p**2. Is c(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 282912053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {c: 9, f: 2, x: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -14*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from uyeeoocoyucuc?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -485 + 485.4. Which is the smallest value? (a) -4 (b) 70 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -42. Let k = -21 + 15. What is the remainder when d is divided by (k - -11)*24\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from exexxexxeexxgeg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-6)*(-8)\/10. Let t(b) = -3*b**2 - b**2 + 5*b**2 - h*b**2 - 4*b. Give t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose -3 = -y - 2*z, b*y + z = -3 + 2. Is y less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 254*f + 3421. What is y(-13)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1212)\/505)\/((-2728)\/930).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 11*x**2 + 22*x + 22. Suppose -g + 5 + 0 = -b, -g = 4. Let q be o(b). Let l = -202 - q. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 6*v - v)*(-13*v**2 + 15*v**2 - 14*v**2).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1834\/(-91) + 8\/468*9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5958933*q**2 + 0 + 0 + 5958044*q**2.\nAnswer: -889*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -139. Let c = 50 - -17. Suppose 5*j - a - c = 0. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 18. Determine t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3072 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 27*f - 24*f - 3*b, f - 3*b - 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -18.6. Let u = a + -14.8. Round u to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -74, -44, 30, 148?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 2000*t**3 - 5946*t**2 - 35892*t.\nAnswer: -2*t*(t - 997)*(t - 6)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 21 = -4*a + 73, 0 = -m + 2*a + 14. Suppose 4*z = -k + 12, -2*k + z + m = 10. Solve k*l = -11 + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b - 5*o - 11 = 0, 3*b + 21 = -3*o. Let m = 39 + b. Calculate the highest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + sqrt(95)\/sqrt(5))**2*5 - (-3 + ((-6*sqrt(171))\/sqrt(9))**2).\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -8. Solve 1 = w*n + 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.272 - -4.272. Which is the biggest value? (a) -1\/7 (b) 1 (c) -15\/13 (d) -0.2 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 77. Let v be i(12). Suppose -2*f = f - 141. Let q = f + v. Which is smaller: q or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8269492mm?\nAnswer: 826949.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.36999999407 + 7.37. Round z to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 45*v + 16 = 0. Let f be (-847)\/(-165) - (-4)\/(-30). Suppose 0*m = v*m + 5*h - 454, 586 = f*m - 3*h. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-11)*2 - 1705\/726. Let d(k) = k**2 - 10*k - 98. Let v be d(-6). Which is bigger: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) -1\/7 (c) -5 (d) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23533 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*o + 3. Calculate the greatest common factor of o and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*c**3 + 24*c**3 + 22*c**3 + 203*c**3.\nAnswer: 285*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56136.77 litres in millilitres?\nAnswer: 56136770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = x. Let s(r) = 2*r**2 + 4. Let i(w) = 2*w**2 + 3. Let d(k) = x*i(k) + 3*s(k). Let b(g) = 5*g. Determine d(b(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*m = -71*m + a - 12, 0 = 5*m - a - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*j**2 + 6*j**2 - 8*j**2)*(-21*j - 32 + 32).\nAnswer: 315*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-84))\/((-11175)\/31290)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*z + 5*z. Suppose -w - 4*w + 25 = 0. Suppose -2*i - 53 = -w*r, -2*i + 24 = 2*r - 0*r. Calculate the remainder when r is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244.584 - 0.584. Let g = -244.1 + f. What is the smallest value in g, -2\/5, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (-1 + 0 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*a**4 - 29*a**4 + 394*a**4 + 2*a**3 - 2*a**3 - 2*a**4 + (-a**2 + a**3 + a**2)*(0 + 0 - 2*a) + 0*a**2 + 0*a**2 - 2*a**4 - 3*a + 3*a - a**4.\nAnswer: 326*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73837248 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 34) + 7 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146505 is divided by 447.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v + 4*v**3 - 1\/2*v**2 - 56. Let r(w) = 3*w**2. Calculate r(q(d)).\nAnswer: 432*d**4 - 72*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11920897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3\/5 + 78*v**2\/5 - 1596*v\/5 + 2888\/5 = 0.\nAnswer: 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1940 - 2*q - 4602 + 2662.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14\/5)*o\/(((o*o**(-2\/5))\/o)\/o))**(-2\/7) assuming o is positive.\nAnswer: o**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwlwwwwlwlwwwlwllww?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/9 - 73\/36. Which is the biggest value? (a) v (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3872, -3951, -4030, -4109, -4188?\n\"Answer: -79*l - 3793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c071 (base 15) in base 5?\nAnswer: 14014411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -39. Let z be 2\/(39\/156 + (1 - 1)). Calculate the highest common factor of k and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u - 2*u)*(-2 + 2 + 2)*(-3*u**2 - 4*u**2 + 3*u**2) + (-1 + 3 + 0)*(-u**3 - 3*u**3 + 5*u**3).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.5 (c) 7\/20 (d) -2\/207\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.095 and 0.671.\nAnswer: 0.063745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1795 = -5*l + d, -l - 4*d + 453 = 0. Suppose -2024 = -5*m + 1876. Let u = m - l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 7. Let c be s(7). Suppose c = f - 0*f - 6. What is the derivative of 6*o**2 + 4*o**3 - 6*o**2 - f wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -40316?\nAnswer: 40327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 13. Suppose 6*c = 2*c + 180. Suppose 0 = 2*y - 2*l - 36, -2*y + 0*y + c = -5*l. Calculate the remainder when y is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*t + 22 = 0, -2 = x + 5*t + 13. Let c be (8\/(-10))\/(2\/x). Suppose 9*g - c*g - 20 = 0. Solve -g*h + 0 = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 3*v + 113899 + 217118, 66183 = o + 4*v. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-393)\/18 + 3 and (-453)\/9 - 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28505\/6 + 4730. Calculate the common denominator of 101\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -1. Let f = 51 - 48. Calculate the remainder when f is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46983.9013 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppvathvtvtp. Give prob of sequence ap.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 2, -2\/49 in decreasing order.\nAnswer: 133, 2, -2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/7 or 794?\nAnswer: 794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8876 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4020202 - 4044010 = 372*a for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -250514760 + -3?\nAnswer: -250514763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17080 divided by 3416.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3824937?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l, 5*t = -4*l + 6 + 13. Let y(o) = -o**3 + 3*o**2 + 3*o + 1. Let u be y(-1). Solve r + 12 = u*b, -4*r = t*b - 2*b + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1043 + -4171\/4. Let o be (-38 + 2)*-1 - -2. Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2406?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72566213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 14.3, -1\/8, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 8. Let b(f) = 3*f + 24. Let c(y) = 2*b(y) - 7*n(y). Let i be c(-10). Suppose 12 = i*m + m. Solve -m*o - 12 = q, -o = -2*q - 2*q - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 7*i + 5*k = 179, -114 - 378 = -17*i + k for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-4 - (-16 + 8)) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2\/2 + 3*d + 4. What are the prime factors of q(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 8. Let o(w) = -x + 3*w - 6*w + 2. What is the remainder when o(-3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9266 and 804.\nAnswer: 3724932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 - 104 = 0. Let o = v - -49. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - -0.05. Let n = s + -0.04. Let o = -1.72 + n. Round o to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*j**2 - 3)*(0 + 1 - 2*j + 0).\nAnswer: -4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1560, -2\/67, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83\/318 - -7489\/954. Let x = -749953441\/3447 - -217567. Let l = x + 78044\/37917. What is the common denominator of l and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 39 = 26*p - 97 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhohhffflllflflfll. Give prob of picking 1 o, 1 h, and 2 f.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16129*i**2\/2 - 508*i - 8.\nAnswer: -(127*i + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 - 319300*g**3 - 6797045520*g**2 - 48236365522160*g - 96445545416560 = 0.\nAnswer: -21286, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43, 33, 21, 7, -9, -27, -47?\n\"Answer: -s**2 - 7*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667 + 1289 - 622 - 239*n**3 + n**2.\nAnswer: -239*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5, 5*r - 5*g + 3 = 28. Calculate the highest common divisor of 20 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) -341 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1249*k - 14977. What is v(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -108*l + 320. Give x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c + 4*a + 40, -5*c + 4*a = -48. Let f = 12 - c. Suppose f*l - l + 2 = -4*x, x - l - 3 = 0. What is the third biggest value in 0.5, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3\/3 + 4630*r**2\/9 - 1947632*r\/9 + 216232\/3 = 0.\nAnswer: -1074, 1\/3, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -56?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 969436113 to the power of 1\/3, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6962936 or 6962938?\nAnswer: 6962936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y = -30*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18*h**2 - 69. Let s(y) = y - 10. Calculate s(g(j)).\nAnswer: -18*j**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 45.2 * 117041\nAnswer: 5290253.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 28 = -p. Let t = p - 5. Solve -f - 7 + t = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - 0.6. Let g = 1 + -2. Let v = g - -0.7. Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/25))**(-24\/11) assuming r is positive.\nAnswer: r**(24\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - ((-144)\/(-35) + 126\/(-315)). Sort j, -483\/2, -3\/4 in ascending order.\nAnswer: -483\/2, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11676 - 9522. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 7. Let q be o(-7). Let m = 12 - 8. Calculate the smallest common multiple of m and (-2)\/((2\/q)\/1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 + 32\/(-3))\/(40\/(-6)). Suppose t = -3*h - 2*h + 19, -2*h = 5*t - 3. Is t less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = 0, 4*j - 5 = u + 3. Suppose -4*s + 5*c - 2435 = 0, -3*s - 5*c - 2511 + 641 = 0. Let m be s\/(-45) + (-4)\/6. Solve j = 4*o - m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-18)\/66)\/((-246)\/(-328))?\nAnswer: -84\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -232.5857062 to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Let d(k) = k**3 + 9*k**2 + 8*k + 16. Let v be d(-8). Calculate the greatest common factor of v and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-2 + t + 2)*(3546*t**4 + 1972*t**4 - 34757*t**4 + t**2).\nAnswer: -58478*t**5 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 14, 19, 40, 83, 154, 259, 404?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -185, -190, -197?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v - 6 = 0. Suppose -v*w = -w + 364. List the prime factors of (w\/21)\/((-4)\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 9. Suppose 0 = -4*w + w + 12. Let y be n(w). What is the hundreds digit of y*(-1)\/(5\/134)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1 + (4 - 4 - 2)*(1 - 5 + 3))*(1896 - 2*o + 2170 - 3864).\nAnswer: 4*o - 404","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(648))\/(2*sqrt(4)*4).\nAnswer: -9*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -140, -185, -228, -269?\n\"Answer: q**2 - 50*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose 12 = 2*h + 2*h. Let q = h - 5. What is the third biggest value in q, c, -1\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 544219*-0.1\nAnswer: -54421.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 522102 - -240?\nAnswer: 522342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 24. Let k be (l\/9)\/((-12)\/18)*-6. Solve 5*n - k - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -4*c. Let l(o) be the first derivative of -4*o + 0*o**3 - o**2 - 1 - 3\/4*o**4. Let f(v) = -7*v**3 - 4*v - 9. Determine c*f(x) + 9*l(x).\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*q**2 - 17*q**2 - 37 + 8*q**2 + 39 + 3*q**4 to a*q**3 + j*q + z + y*q**2 + f*q**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 21. Let v(i) = -31*i**3 + 2*i**2 + 2*i + 1. Let s be v(-1). Calculate the greatest common divisor of s and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**9\/1008 + t**6\/360 + t**3\/3 + 1. Let f(v) be the third derivative of y(v). What is the third derivative of f(g) wrt g?\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 - -144 - (49 + 6 + -10)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 4*n. Let a be y(2). Let s(g) = -a*g - 1 - g**3 + g**2 + 4 + 3*g**2 - g. Suppose 0 = -b - b + 6. What is s(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8567?\nAnswer: 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49302, 49329, 49372, 49431, 49506, 49597?\nAnswer: 49704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2707, -5469, -8229, -10987, -13743, -16497, -19249?\nAnswer: -21999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 25290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275721871.\nAnswer: 139, 30760589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 = -3*r + 25, r - 2*g - 5 = 0. Calculate the greatest common divisor of r and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-4*sqrt(440) - sqrt(440)))\/sqrt(8)*6)\/(-1*1*sqrt(180)*5).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*o - 9 - 5, 5*o + 13 = -s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/117, 11, 2, 0.7 in increasing order.\nAnswer: -8\/117, 0.7, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.89 and 151516116.\nAnswer: 151516115.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -4040\/37?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68785 by -5.\nAnswer: -13757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -63, -2, 4, 5 in decreasing order.\nAnswer: 5, 4, 2, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/(-56))\/((-9)\/8). Suppose 2*y = -2*h - h + 6, 0 = -h + 2*y - 6. Which is the third biggest value? (a) 0.3 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 7. Let u be j(13). Let p = -1 + u. Which is smaller: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5164740 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 1. Suppose -4*g + 108 = 3*s, 23 = s - 0*g - 3*g. Calculate the remainder when s is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**2 - 5. Let y(l) = 19*l**2 - 5 + 11 - 29*l**2. Calculate 3*y(j) + 4*z(j).\nAnswer: 10*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (1 + -4 - 2) - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -700.1 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = 2*l - 5, 5*l + 10 = 0. Let t be (-1 + -1)*(-8)\/(-1 - p). Suppose f = 4*g - 11813, 5099 = t*g + 3*f - 6710. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -17. Let m be -1*(-92)\/6*(-63)\/(-14). Calculate the highest common divisor of m and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 109930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 2*o - 6. Suppose -2*s - 3*s = -15. Let i = -9 + s. What is the remainder when 34 is divided by m(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -135, -72, -9, 54, 117?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = a + 3*a - 20, -5*j = -4*a - 7. Let g be (-10)\/(-14) - (-2)\/7. Suppose -3*o = 3*o - 73 + 103. Sort j, g, o in ascending order.\nAnswer: o, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**4*m**2 - 359*i**3*m**3 - 307*m**3 wrt i.\nAnswer: -8*i**3*m**2 - 1077*i**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248069413 rounded to the nearest one million?\nAnswer: -1248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 207*i\/2 - 14595.\nAnswer: 3*(i - 139)*(i + 70)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (525\/(-10) + -4)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {y: 13, s: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p**2 - 20*p + 326. Calculate the remainder when o(9) is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -630*l**2 + 2267*l - 5. Let n(m) = -951*m**2 + 3401*m - 8. Let q(g) = -8*k(g) + 5*n(g). Find the second derivative of q(v) wrt v.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(4302\/(-4) + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 426\/11 + -2647\/55. Suppose -7*o = -2*o + 1660. Find the common denominator of 1\/(-2)*o\/12 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - 170.07. Let b = -0.372 - -0.042. Let t = b + d. What is the third biggest value in t, 1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 783522, 783514, 783508, 783504?\nAnswer: 783502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*q + 81361 = 105203 for q.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5097397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*n - 4)*(-2 - 2 + 5) - 1 - 8*n + 0*n + 15*n.\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 2*v + 1. Calculate the smallest common multiple of 4 and n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Let a = 19 - 16. Let d = a - p. What is the nearest to d in -1, -0.2, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1.8. What is r rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31 + 27*r + 3*r**2 + 133*r + 503 + 8 - 49*r.\nAnswer: 3*(r + 5)*(r + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 663448 and -0.087.\nAnswer: 663447.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 5. Let z(j) = j - 1. Let i be (2\/7)\/((-4)\/(-28)). Let d be 0 - -1*i\/(-1). Let s(w) = d*z(w) + b(w). Calculate s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -3, -15, 31.\nAnswer: -15, -3, 0, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/20572 and 57\/26132.\nAnswer: 966884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) 0.02 (c) -0.81 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50ce (base 16) in base 2?\nAnswer: 101000011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1223711956 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 2. Let c = 6 - h. Suppose 21 = 3*r - c. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z - 44 = -3*w, 0 = -3*w - 2*z + 37. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32457363 is divided by 1893?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -135, 7, 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 494\/35 + -134\/35. Let 16\/7 - 18\/7*w**3 + j*w - 4\/7*w**2 = 0. Calculate w.\nAnswer: -2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 22*j - 17*j - 10*j.\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g = 49*g + 95. Solve 4*w - 2 = g*d, -2 + 1 = w - 2*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa9 (base 13) in base 7?\nAnswer: -5222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c = 3*o + 50*c + 10249, -c = -4*o - 13637. Is o > -3408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/4 - 1)*-34. Suppose -n = -3*t + u, 255 = t + 4*t + 3*n. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1536, 3085, 4652, 6243, 7864?\nAnswer: 9521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11561.\nAnswer: 11, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12404640 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 1. Let j(c) = -30*c**3 - 12*c + 9. Let t(h) = j(h) + 9*u(h). What is the second derivative of t(r) wrt r?\nAnswer: -234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 27*k**5\/80 + 3543*k**4\/16 - 592*k**3 + 1185*k**2\/2 + 284*k - 1. Factor f(i).\nAnswer: 3*(i + 395)*(3*i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((1640\/(-14))\/5 + (81 - 69)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16200 + 6054?\nAnswer: 25254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 less than -36185?\nAnswer: -36187.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 153782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*25\/12*20616\/(-3436)*6.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29293 = -1539*y - 6208 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -1 + -3 - (17 - 46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**3 - 3*d - 5. Let g(r) = -3*r. Give h(g(j)).\nAnswer: 27*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9970069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2108 - -2.7892. What is the fourth smallest value in -5, 1, i, -27?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s - 5*y + 2, 4*y = 2*s - 2. Let o(d) = d**3 + 6*d**2 + 5*d - 2. Let q be o(-5). What is the units digit of 5 + s + (0 - q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a + 8 = -2*n, n - 4*a = -4. Suppose -3*v + 2*t + 2*t - 5 = 0, -5*t = 3*v + 14. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39469\/156 - -3444\/13. What is the common denominator of x and 61\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 10*y - 7. Let u be a(-11). Suppose 5*s - 4*s = u. Suppose -7*v + s*v + 12 = 0. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 420170800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*m + 6, 17 = 9*m - 5*m + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.84 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 minus -1457?\nAnswer: 1456.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/9 - 3764*z**4\/9.\nAnswer: 2*z**4*(z - 1882)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 - 214*b + 609. What is w(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 8*o**2 + 9*o + 3. Let x be b(9). Find the third derivative of c**3 + c**3 + 5*c**x - 2*c**2 wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 20 = -3*a + 3*o, 3*a - 4*o + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.9992 + -15. Round v to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 - 4*s - 18. Let w be b(3). Sort w, -154, -5, 0 in increasing order.\nAnswer: -154, -5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 6217, 2, 5 in increasing order.\nAnswer: 2, 5, 8, 6217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63744683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -725, -1231, -2133, -3431, -5125, -7215?\nAnswer: -9701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 601, 1133, 1679, 2251, 2861, 3521, 4243?\n\"Answer: 2*b**3 - 5*b**2 + 533*b + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1365*w - 322 + 163 - 4869*w + 159 to the form u*w + p and give u.\nAnswer: -6234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*k**2 + k**4 - 20*k**2 - 22*k**4)*(-2*k + 2*k + k).\nAnswer: -21*k**5 + 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -32 (c) 4 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 122. Let b be 2\/(-11) - l\/(-11). Is 4 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 20 = -r. Let g = 27 + r. Calculate the least common multiple of g and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) 1356 (b) 5\/7 (c) -2\/3 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 2164 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4\/5)*f)\/f**6*(f*(f*f**(-2\/3)\/f)\/f*f)**(-8\/7) assuming f is positive.\nAnswer: f**(-544\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1613*u - 5834 = 4947 - 4328 + 11290 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.339 - 10.139. Sort 37, 4\/5, w, 1 in descending order.\nAnswer: 37, 1, 4\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/6)\/((-87)\/18 - -5). Let l be z\/15*(-1300)\/4. Calculate the highest common divisor of 39 and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c - 5*c + 5*c**4 + 26 + 7*c with respect to c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v. Let o be t(0). Is 12 a factor of (-2 - (-1 + o))\/((-1)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**5 - r**4 - 2*r**2 - 3. Let w(m) = 262*m**5 - 3*m**4 - 346*m**2 - 9. Let j(x) = 3*g(x) - w(x). Find the third derivative of j(c) wrt c.\nAnswer: -15540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -162*k**3 + 19*k**2 + 39*k - 4. Calculate s(-2).\nAnswer: 1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 6*b + 5*b + 23, 2*b = 6. Suppose 5*s + 4 = 3*z + 5, 0 = 2*z - 5*s + x. Solve -y = 4*m + 8, 3*m = y - z*y - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166693717 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80\/101 in 2, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 12*g**2 + 12*g + 16. Let z be b(-11). Suppose 3*m - 117 = z*a, -170 = -m - 3*m + 2*a. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0 - 1\/6*l**3 + 14*l + 0*l**2. Give d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49\/4 - 7\/2*l - 1\/4*l**2.\nAnswer: -(l + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 191\/(42020\/1760) + 63\/(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 34 - 349. Suppose -d = -4*a + 3*a. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1\/5, 2, -0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*k + 4*v - 295, -v = 3*k + 156. Let s = 52 + k. Is (-3 + s)\/(44\/(-1078)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, -50, -140, -268?\n\"Answer: -19*t**2 + 5*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 582\/(-24) + 1\/4. Let l = b - -34. Suppose -65 = -3*n - 5*h, -2*h = 3*h + l. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(80)*-5)**2 - (-3*-2*sqrt(5))**2 - ((sqrt(50) + (1*sqrt(50) - sqrt(50)))*-3)\/(sqrt(100)\/sqrt(40))) + 5.\nAnswer: 6*sqrt(5) + 1822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/o**13)\/o*o)\/o)\/((o\/o**(-1\/16))\/o*o)*(o**(-4))**12 assuming o is positive.\nAnswer: o**(-977\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) - (3 + sqrt(208) + 0)**2 - (1 + sqrt(1872) + 1).\nAnswer: -219 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 8. Let z(f) be the second derivative of 0*f**5 - 1\/6*f**y + 0*f**6 - 1\/42*f**7 + 0*f**2 + 0 + 0*f**3 + f. Find the third derivative of z(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, 0.4, -1165 in decreasing order.\nAnswer: 0.4, -4\/15, -1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 6010 = -5*u + 6066, 2*b = -15*u + 184 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26015 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.3 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2973.9525 + -2974. What is b rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**4 + l**3 + l**2 + 2*l + 1. Let x(n) = 6*n**4 - 118*n**3 - 1066*n**2 - 4372*n - 6154. Let q(p) = 10*d(p) + x(p). Solve q(o) = 0 for o.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49576?\nAnswer: 2, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*1 + sqrt(1100) - ((sqrt(2816)*2 - sqrt(2816)) + sqrt(2816)))\/((sqrt(4) - 3*sqrt(4)*1) + sqrt(252)\/sqrt(7)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 372927567 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2 take away -20.738?\nAnswer: 34.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5112\/5 + -5114\/5. What is the biggest value in -198, -1, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/20174 and -43\/6?\nAnswer: 60522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 655956709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = t + 9, -3*n + 4*t = -8. Suppose -40*o + 625 + 935 = n. What is the remainder when 113 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/641630 and -39\/48260?\nAnswer: 162974020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1876993 and 0.011.\nAnswer: -20646.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5032, 10088, 15144, 20200, 25256?\n\"Answer: 5056*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Let o be (64\/24 - 2\/3)*1. What is the third smallest value in l, o, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uutkkuttukddfkduuk. What is prob of picking 2 t, 1 d, and 1 f?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x + 3. Suppose 5*t = 1 + 19. Suppose -2*f = 14 - t. Sort f, x, 3 in decreasing order.\nAnswer: 3, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y + 4. Let r(b) be the first derivative of 2*b**2 + 3*b + 1. Let u(k) = 4*o(k) - 6*r(k). Differentiate u(x) with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-328 - 1830 - 7296 - 303 - 2098)*(1 - 2*b - 1).\nAnswer: 23710*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -6, 21, 66, 135, 234?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(1\/3))\/s))\/(s**(3\/4)*s)*(s**13\/s)\/(s*s**9*s))**(4\/9) assuming s is positive.\nAnswer: s**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -19 - (-27)\/(-297)*99\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 109 + 2*i - 106 + 0*i + i**2. Give v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*(-100 + 1344). Factor -94*z**3 + 4331*z - w*z + 3060*z**2 - 104*z**3 + 3*z**4 + 3227*z.\nAnswer: 3*z*(z - 34)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2190*p**2 + 2126*p - 36. What is v(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:46 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f + 60. Let j be 1 + -4 + f\/(-3). Let w(c) = -c**2 - 7*c. Let q be w(-7). Put q, -3, j in decreasing order.\nAnswer: j, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3203373\/5 bigger than -640674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/49 and 3036\/(-230)*20\/(-2632).\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2239276, -2239397, -2239518, -2239639?\nAnswer: -2239760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396141791 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 233, 228, 223, 218, 213, 208?\n\"Answer: -5*l + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 11132*c - 11130*c - 12, 12 = 5*c + 3*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - -0.19. Let p = -99.11 + 100. Let w = y + p. Which is the third biggest value? (a) w (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 2 - 8 - 5*p**4 wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 22. Is -5 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*2716\/(-1743) - (18 + (-12)\/3)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 3. Let g(z) = -z - 2. Let u(h) = 4*g(h) + 3*x(h). Let b(c) = 3*c**2 + 7*c + 7. Let k be b(-1). Determine u(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = v + 2*v - 372, -236 = -4*p + v. Factor -p*u**4 - 15\/2*u + 75\/2*u**3 - 3\/2 + 15\/2*u**2 + 24*u**5.\nAnswer: 3*(u - 1)**3*(4*u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - 171\/(-27). Let l = j + -2. Suppose 5*k = 2*k + 2*u + 10, -l*u = -k + 10. Calculate the smallest common multiple of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 1, d: 1, q: 1, e: 1}. What is prob of sequence www?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43108*y**3 + 21557*y**3 + 21549*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.109 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*n = 16, -3*t + n - 4 = 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17484 and 27072.\nAnswer: 839232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5 + 1. Let q be (-5 + 4)*j*1. Suppose 5*k + q = -3. Is k less than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let q(v) be the second derivative of -v**4\/12 - 5*v. Determine k(q(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 0*l**2 + l**2 + (l - 2*l + 3*l)*(-2*l + 3*l + l) + 27*l**2 - 15*l**2 - 13*l**2 + 23 + l**2 - 5*l + 5*l.\nAnswer: 2*l**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1408077 and 55539.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from {f: 3, o: 2, p: 10}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5335 + 5345. Suppose 0 = p - 2*p + 9. What is the remainder when l is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 432\/5. Let v be 2\/(-7) + 16\/105. What is the nearest to 0.1 in 5, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 - 305*a**2 - 73*a + 211. What is b(-76)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51687 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 8) + 12 - -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = -52*j - 53 - 19 - 114 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 2*i + 2*i + i.\nAnswer: i + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**4 + 3416706*k**3 - 972765238467*k**2 - 33076980450936*k - 281162727221808 = 0.\nAnswer: -17, 569468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*z - 234*z - 2541 = 0. Let y be 6\/8 + 3 + -4. Do z and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Suppose 2*u - w = -0*u. Suppose 0 = u*h + 3*s - 7, 3*h - 4*s = s + 20. Solve -m + 7 = -a, h*m - a - 30 = 3*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -9*u + 108. Let t = u - -20. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 15)\/(-6) - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/20 - -2)\/1. Let x = -68 + 478\/7. Which is the closest to g? (a) -2\/3 (b) -2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 20 = -3*u, -46*u + 29*u = 16*h - 21*u - 80 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 4*g + 3*g)*(4 - 5 + 0)*(19*g - 70*g + 18*g) as i + f*g + o*g**2 and give o.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-1 - -3) + (-8 - 1) - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 1205*h**4\/4 - 81*h**3 + 23. Find the third derivative of w(v) wrt v.\nAnswer: 7230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 5 - 3 + 0.\nAnswer: -9*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 7*s - 3. Let o be t(8). Let q = o - 1. Suppose -q = m + m. Which is the second smallest value? (a) 5 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2 + 12191*y + 12190 = 0.\nAnswer: -12190, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (147\/(-35))\/((-2)\/(-10)). Let n = s - -51. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196241\/6 + -32456. Which is smaller: 252 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 + 15*q**2 - 11*q**3 + 5 + 4*q - 17*q**2. Is k(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (229\/(219840\/(-1152)))\/((-6)\/(-20)*1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)*a\/a**(1\/3))\/((a*(a\/(a\/(a\/a**2))*a*a)\/a)\/a**4))\/((a\/((a**1\/a)\/a)*a*a*a*a**(-1\/5))\/(a**(4\/5)*a**(-2\/15)\/a)) assuming a is positive.\nAnswer: a**(-59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -2, 5, -0.1, -29, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 471999.7 weeks in microseconds?\nAnswer: 285465418560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-102)\/68*(-1)\/((-3)\/(-4)). Suppose 2898 = k + 7*f - 9*f, l*k - 5792 = 2*f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747345353 to the nearest integer?\nAnswer: 27338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 1.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*(18 - (-7 - -13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (319 + -316)\/((-52)\/10 - -1)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 4*y)*(-2*y + 3*y - 3*y) + 20*y**2 - 15*y - 11*y**2 - 11*y**2.\nAnswer: -4*y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 13, -1, -2, 2, 1\/2 in descending order.\nAnswer: 13, 2, 1\/2, -1, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 20 = 14*w + 5*h, -2*h + 5 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-12)\/(-8))*(-15)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/(1080\/288*160\/350)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(117) + 1 - sqrt(13)*1*5) + (sqrt(156)*1 + sqrt(156))\/sqrt(12) + 3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47846992 and 167104.\nAnswer: 48014096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*v = -0*b + 46248, v + 57790 = 5*b. Let d = b - -2238. Let m be 2 - (d + 1)\/(-2). What is m rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from sxlslesosesox?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1388*g + 3808. Does 148 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4101\/(-65616)*(-7)\/(1\/(-1))*2.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 253 + 65. Let h = c - 163. Solve h*f = 21*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 37 = 5. Let q = -9 - n. Let c be ((-3)\/9 - 0)\/(5\/15). Sort -3, q, c.\nAnswer: -3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*i - 128*i - 862*i - 211*i - 929*i + 1095 wrt i.\nAnswer: -2230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 150*g. Let w(c) = -2*c. Calculate w(l(t)).\nAnswer: -2*t**2 - 300*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*g + 15 = 0, 4*g = -4*v + 3*g. Let o be 3\/4 + v\/(-4) + 1. Solve -3*q + 4*z = -1, -o*q = 4*z - 2*z + 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgdrrdx. Give prob of sequence ddr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -135, -134, -133, -132, -131?\n\"Answer: z - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8125\/(-425) - (4 + 70\/(-17))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 - 2*m**2 + 6*m. Let s(k) be the second derivative of k**5\/20 + k**3\/6 + 4*k. What is r(w) - 6*s(w)?\nAnswer: w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-24)*(-590)\/(-10325)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27251, -108975, -245171, -435839, -680979, -980591, -1334675?\nAnswer: -1743231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-56321)\/(-68) - 15\/(-20) is divided by 139?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -444 + 446.3895. Let l = 2.4 - i. What is l rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003 (base 12) in base 4?\nAnswer: -312003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1477777*n**3 + 3*n**2 - 6. Let t be k(-3). What is t rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 4. Let j(a) = -a + 1. Let t(d) = -4*j(d) + l(d). Let z(o) = -o. What is z(t(k))?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**5 - c**5 - 4*c**5)*(-4397 - 1996 + 3513 - 14147 - 3439).\nAnswer: 20466*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14356441 + 9926441. What is k rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 436\/314891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05122? (a) 0.03 (b) -4 (c) -3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -335*4.1\nAnswer: -1373.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*-3)**2 + (0 + sqrt(176))**2 + -1.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3433661?\nAnswer: 7, 11, 19, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 45. What is the highest common divisor of 182 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8697448, -17394894, -26092340, -34789786?\nAnswer: -43487232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 30*z + 64. Let y be l(32). Solve 2\/7 + 2\/7*g**4 - 4\/7*g**2 + 0*g + y*g**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 19 - (3 + -3 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z - 15*z + z as c*z + x and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 18) + 30 - 90.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 6*v + 5. Let p be r(-6). Let q be (-15)\/((-50)\/10)*7\/3. Solve p*l + 8 = q*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125302 * -2\nAnswer: -250604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 2:35 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.6690528 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = 150. What is the greatest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -477. Let q = -284 + t. Let p = q + -144. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*q**2 + 253*q**2 - 7212*q + 211*q**2.\nAnswer: 44*q**2 - 7212*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.7805 rounded to one dp?\nAnswer: 150.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 605467 and 2225?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 470730 and 659022.\nAnswer: 3295110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 13*z**3 - 107 + 2*z**4 + 25*z**3 - 36*z**3 + 7*z**2 - 3*z**2 to the form o*z**2 + w*z**3 + n*z**4 + s + g*z and give s.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684\/(-22) + -3 - (-41)\/((-41492)\/(-552))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 319*l**3 + l**2 - 7*l + 5. What is the hundreds digit of n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-27) - (-188)\/(-180). Let l = 2.1 - 1. Which is the second biggest value? (a) -1 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112\/24*1629\/6 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1393, -2848, -4303, -5758, -7213, -8668?\nAnswer: -10123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 7*d - 6. Let u(r) = r**2 - 6*r + 6. Let h(l) = 2*c(l) + 3*u(l). Let b be h(-5). Is 1 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 15 + 3 + -28 + 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85739*s**3 + 25*s - 25*s - 85688*s**3.\nAnswer: 51*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -1\/9, 1\/4, -0.9, 201.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euueeuuueeuemem. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5)*(-9*g + 7*g + 17*g)*(4*g - 5*g + 13*g)*(g**2 + 0*g**2 - 3*g**2)*(-3 + g + 2 - 2*g).\nAnswer: -1800*g**5 - 1800*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226937 to the power of 1\/2, to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l - 2*k, -5*k = 4*l - 4*k - 8. Let m(r) be the third derivative of 5*r**4\/24 - r**3\/3 - r**2. What is the least common multiple of m(l) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3217051 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -15, -5, 215 in descending order.\nAnswer: 215, -1, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -1\/8*n**6 - 15\/8*n**2 + 3\/40*n**5 + 0 - 1\/56*n**7 + 25*n - 1\/8*n**3 + 5\/8*n**4. Determine g so that v(g) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*i - 400, 3*j - 5*i = -2*j - 1030. Let f be j\/(-33) + (-8)\/44. Factor 2*d**2 + 2*d + 2*d**3 - 4*d**2 - f*d.\nAnswer: 2*d*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -688, -690, -692, -694, -696?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 8:59 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - 0 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let u(n) be the first derivative of 2*n**3\/3 + 19. Determine p(u(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 11*i = 0. Which is the fourth biggest value? (a) 0.4 (b) -2\/5 (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3) + -4 + -1. What is the common denominator of ((-10)\/(-5))\/(3 - (-948)\/(-356)) and (j\/120)\/(4\/(-58))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(1 - 2 + 2)*((2*m - 4*m + m)*(0*m + 2*m**2 + 0*m) - m**3 - 5*m**3 + 4*m**3) to the form p*m**3 + h*m**2 + x + z*m and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 23 = -2*k - h, 0 = 5*k - 4*h - 13. Suppose 5*t - 4*l = 23, -3*l + 8*l - k = -5*t. Let j(v) = 6*v - 7. Let r be j(t). Which is smaller: r or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 + 1112?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 538049*s**5 - 11867*s**2 - 1 wrt s.\nAnswer: 32282940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1775*z + 1776*z = 5*i - 1, 2*z = -4*i - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1010\/9 - 112. Let r = -0.26 + 0.16. Let p = 0.2 + r. Which is the third biggest value? (a) p (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4*a + 3*w - 8, 0 = 3*a + 5*w + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) - 58\/18. Let v be 3292\/(-600) + 4 + 0. Let s = v - 1\/75. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = -r. Suppose d + 2*d + r = 0. Do -2 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39 and -0.1642.\nAnswer: 6.4038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 11*k - 76 = 0. Let u be (-7)\/(7\/(-20)) - 2. Which is greater: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -679.9 - -680. Which is the closest to f? (a) -10 (b) 5 (c) 0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**3 - 101*r**2 + 1947*r + 25657. Calculate x(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b\/(((b**(-2\/49)\/b)\/b)\/b))*b*b*b*b**(-5)\/b*b**(6\/11)*b**(2\/11) assuming b is positive.\nAnswer: b**(-2325\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 14235768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4132*f + 1. Let m be h(-2). Suppose 5*t + 3*v = 13809, -v = -3*t + 4*v + m. Calculate the common denominator of 59\/16 and ((-4)\/10)\/((-32)\/t).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, -190, -11849, 5 in decreasing order.\nAnswer: 5, 1, -11, -190, -11849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (2 + -8) - 5 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-28) + 103\/7. Suppose -h + 2 = -1. Suppose 5*u = t - 23, -t + 2*t - n = h*u. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400335.4 decades in millennia?\nAnswer: 4003.354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*d + 1 - 1 - 443*d.\nAnswer: 88*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:18 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 21*(2\/(-3) - 0)*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + h = 85 + 14, 15 = 5*h. Let d = -446 - -422. Let x = t + d. Is 6\/13 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000033721 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -20*a. Let n(r) = -r. Let w(z) = -d(z) + 25*n(z). Let t be 2 + 4805\/(-15) + (-4)\/6. Let v = t + 321. Determine w(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 8 = 9*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1616273115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -669*y - 58. What is the units digit of c(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -96907 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5 - 3840*q**4 + 126875*q**2 wrt q.\nAnswer: 60*q**2 - 92160*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -0.22\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -358395*k**2 - 239095*k - 110.\nAnswer: -5*(3*k + 2)*(23893*k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3889, -15, 4\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 2) to base 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/19140)\/((-3)\/44925*-2). Let z = p + -1\/696. Find the common denominator of 0\/(-2) + 73\/(-8) and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58198183.\nAnswer: 58198183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 100956.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19305, -77292, -173937, -309240?\nAnswer: -483201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + n - 4)*(4551 - 319*n - 9103 + 4537).\nAnswer: -319*n**2 - 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1535208 and 123\/6396700.\nAnswer: 38380200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 12*r - 44, -31 - 5 = 2*r + 124*n - 128*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4*d*n**2 - 43*b**4*n - 26*b*d + 2*b*n**2 - b + 2*d*n**2 wrt b.\nAnswer: -24*b**2*d*n**2 - 516*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**4 - 5*q**3 + 5*q**2 - 16*q + 640. Let a(c) = c**4 - 6*c**3 + 6*c**2 - 21*c + 641. Let t(m) = 5*a(m) - 6*d(m). Differentiate t(g) wrt g.\nAnswer: -4*g**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21912)\/4565 + 5529\/1155\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 7d1a4?\nAnswer: -7d1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-5)*(-120)\/(-13860)*165.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 80. Give i(-25).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 10*l + 3. Is c(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -r = -3*s + 1, -5*g - 4*s + 24 = 0. Suppose -3*x = -15, -2*j - 3*j + 245 = -g*x. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117368229 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -29. Suppose -7*c + 3*c = -2*b + 2316, 0 = m*b - 5*c - 3476. Suppose 3*u - 1727 = -2*t, -2*u + b = 8*t - 4*t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729033000 rounded to the nearest one million?\nAnswer: 2729000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 331721 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 3)*(-5*z + 10 - 10) to the form f*z + s and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 7:34 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -154*t + 153*t + 2*r - 370954, 2*t = -4*r - 741932. What is t rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47276 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280631?\nAnswer: 13, 21587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507648293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.75 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 + 3*q - 6. Let j(p) = -131*p**3 - p**2 - p. Let s be j(-1). Suppose -6*x - s = -4*c - x, 4*c - 2*x = 146. Let a = -35 + c. Give z(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let a(i) = 9*i + 1. Let q be -2 + (-26 - -8) + -6. Let j(y) = 2*y. Let w(z) = q*j(z) + 6*a(z). Determine 4*n(p) - w(p).\nAnswer: 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/4 + 110731*l**3\/4 - 369073*l**2\/4 + 110721*l\/4 = 0. Calculate l.\nAnswer: 0, 1\/3, 3, 36907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 - 13 + t**2 - t - t - 4*t**2 to the form c*t + v*t**2 + y and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703515 is divided by 1644?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f**2 + 280*f - 466. Let z be b(-18). Factor -12*n**z + 20\/3*n**3 - 4\/3*n**4 + 28\/3*n - 8\/3.\nAnswer: -4*(n - 2)*(n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -35*g**3 + 2*g**2 + 2. Let z(i) = -5809*i**3 + 333*i**2 + 333. What is 333*l(c) - 2*z(c)?\nAnswer: -37*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2964)\/(-143))\/76*(-11)\/(-19)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*q - 7*q = 228, 4*q = -2*n - 114. Let c = n - -57. List the prime factors of (6\/21 - 1174\/(-7)) + c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 516888 and 0.087.\nAnswer: 44969.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 (base 15) in base 13?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*l**4*t + 2*l*t - 3*t - 26 wrt l?\nAnswer: 128*l**3*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 275850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/((-1)\/141). Let p = -24 - a. Suppose 4*c - p = -3*g, -2*c + 5 - 1 = 0. Solve -17 = s - 4*j, 3*s + 3*j = j + g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**9\/1512 + t**6\/120 - 2*t**3\/3 - t. Let q(z) be the second derivative of g(z). Find the third derivative of q(p) wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.211497.\nAnswer: -0.634491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22001201120 (base 3) to base 5\nAnswer: -20034341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 258*q - 552. Determine t(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/16)\/((-2)\/(-32)). Let s be y + (-4)\/(-2) + 1. Find the third derivative of -s*p**6 + 11*p**2 - 8*p**6 + 5*p**6 wrt p.\nAnswer: -1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, s: 5}. Give prob of sequence ss.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -426 - 47*h + 49*h + 448 - 1 + 1 - 9*h + (-1 + 0 - 1)*(-4*h + 4*h + 3*h) to p + g*h and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284*p**2*s**2*x**2 + p**2*s*x + p**2*s - 2*p**2*x**2 + 2*p*s**2*x**2 + 2*s**2 - 22*x**2 wrt s.\nAnswer: -568*p**2*x**2 + 4*p*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-18))\/(5\/(-90)*-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**4 - b**3 + 283*b**2?\nAnswer: -96*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102788 and 132156.\nAnswer: 925092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, 2\/11, -1, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1077014149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -15, -2733.3?\nAnswer: -2733.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2619, -7072, -14487, -24858, -38179, -54444?\n\"Answer: l**3 - 1487*l**2 + l - 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5360 + 1080. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/169712 and -83\/42428?\nAnswer: 169712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 7*c**2 + 3*c. Let j be k(-3). Solve j = 29*z - 24*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1046 + -890. Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1731 + -890. What are the prime factors of (-12)\/(-16) - d\/(-4)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {x: 2, k: 2, m: 11}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102257683?\nAnswer: 11, 29, 131, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = 0, 3*r - 5*w = -w + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/8*(-4)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 7:27 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 13*v = -10*v - 9, -4 = 2*d - 2*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-48)\/28 + (-20)\/70?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-76\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 4*i**2 + 10*i + 26. What is r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*r - 18 = -2*v, 0 = -4*v - 4*r + 44. Let l(u) = u**2 - 7*u + 7. What is l(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 686 - 400. Let d be (-57)\/h - (-18)\/117. Sort -0.3, d, -1\/3.\nAnswer: -1\/3, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:03 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 250981358 + -417120904. Let l = x + 166139546.170000166. Let v = l - 0.17. What is v rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5\/4 (b) 68 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44566 by 22283.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**8*c)*c*c**0\/c)\/(c\/(c**(-2\/11)\/c*c)*c*c*c**(4\/5)*c*c) assuming c is positive.\nAnswer: c**(56\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.56 - -2.89. Let n = b - 2.38. Which is smaller: 11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 6. Let l be n(2). Let o be (-58635)\/(-60) + (1\/l - 0). Suppose -266 = -c + o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 39\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010021022 + -2020?\nAnswer: -1010100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 5*g + 1. Let n be w(-4). Find the third derivative of 2*t**6 + 9*t**n - 9*t**5 + 3*t**2 wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 322.93 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351782 (base 9) to base 6.\nAnswer: -4310202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*sqrt(171))*-5 + 5 - (1 + sqrt(1900) + -4*sqrt(76)\/sqrt(4) + sqrt(190)\/(sqrt(1440)*1 - sqrt(10))))**2.\nAnswer: 4704*sqrt(19)\/11 + 252172\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 8 = 0, 40 - 10 = 4*k - 5*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 30 - 5935*o**2 - 20 + 11 to the form l*o + r*o**2 + i and give r.\nAnswer: -5935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -56. Let k be (-4)\/6 + a\/24*4. Suppose -3*w = 2*l - 217, -4*l + k*w + w + 427 = 0. List the prime factors of l.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74)\/40 + (-6)\/(-3). Let x(s) be the second derivative of 1\/10*s**6 + 1\/14*s**7 + 0*s**3 - 1\/4*s**4 + 0*s**2 + 0 + 4*s - f*s**5. Solve x(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 2. Suppose i = 5*i + 4, y + 4*i = -10. Let z(k) = -6*k - 11. Let g(a) = y*z(a) - 39*v(a). Is g(-10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 0, -5, 1\/3, 0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 - 223.235. Let n = o + 0.635. What is the closest to -5 in -2, -0.2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11431*y + 11498*y + 11445*y + 1 - 1 - 34303*y.\nAnswer: 71*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15552\/(-2304))\/(6\/16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - v - 6. Suppose -3*b + 33 = -5*c, 2*b - 4*c = -3*b + 42. Let t be f(b). Calculate the greatest common factor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 208*h + 836. Let s be n(-4). Solve -2*x + 2 = -2*g, -2*x = s*g - 7*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:42 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2228 - -2230. Solve 5*z - 2 = -b - b, -r*b = 2*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000103 + -12032?\nAnswer: -1012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, -4, -2449, -758 in ascending order.\nAnswer: -2449, -758, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34407, 68814, 103223, 137634, 172047, 206462, 240879?\n\"Answer: f**2 + 34404*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12371, 0.0784, -0.4?\nAnswer: 0.0784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -100 + 9*t + 143 + 6*t**2 - 3*t**2. What are the prime factors of b(-6)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1427 divide 26933198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -291*i**3 - 33*i**5 + 291*i**3 + (4*i**3 + i**3 - 4*i**3)*(-3*i**2 + 2*i**2 - i**2) - i**5 + 4*i**5 - 2*i**5 + (1 - 2 - 1)*(i**5 + 5*i**5 - 4*i**5).\nAnswer: -38*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 148. Let g be l(-29). Which is greater: 12\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 73*x = -77*x + 1, -48*l = 5*l + 2*x + 55 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 - -3.7. Let s be ((2*-1)\/(-4))\/2. What is the third smallest value in w, s, 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -0.01339?\nAnswer: -3.01339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12*((-3)\/12 - 2\/8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1920\/9)\/5*(-3)\/2. Let m be 11\/(110\/6) + w\/(-10). Let v(b) = 15*b**3 - 3*b**2 + 6*b + 10. Let t be v(m). What is t rounded to the nearest one hundred?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)\/s)**44*s**1*s\/((s\/(s\/(s*((s*s\/(s\/(s\/(s**(-9)\/s*s)))*s)\/s)\/s))*s)\/s) assuming s is positive.\nAnswer: s**(-309\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 3*d + 3. Let y(s) = s**2 + 2*s + 2. Let g(b) = -2*v(b) + 3*y(b). Let k(u) be the second derivative of 32*u**3\/3 + 1828*u. Determine g(k(l)).\nAnswer: 4096*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 5*s - 13. Suppose -7*g + 14 = -9*g. Let c be k(g). Let l be (2*2\/(-24))\/(-12). Are c and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2. Let m = 5 - 2. Let i(d) be the second derivative of -1\/6*d**4 + 0 + 0*d**m + 0*d**2 - 2*d. Give u(i(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 8*n + 5. Let m be h(8). Does m = 15\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 28793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10571 by -226.\nAnswer: -10571\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -67. Solve 3*o + a - 18 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 259900302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1283 divided by -21\nAnswer: -1283\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2236 and 8?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8128512 to the nearest integer?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -334207390 - -81397390. What is z rounded to the nearest one million?\nAnswer: -253000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 553.4975011 + -574.13244. Let c = 32.3650759 - j. Let q = c + -53. Round q to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*(-20)\/(-5375)*-5. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35728684549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078317 plus -33?\nAnswer: -32.921683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*f - 3012 = 549 - 613. Solve -4 = -f*w + 42*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/9 - 7*x**3\/9 - 2*x**2\/3 = 0?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 53*g + 317. Let n be j(-6). Which is the biggest value? (a) 13 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 24*w - 84 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 561140339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -298*6\/(-16) - (-4)\/16 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 6. Let g = 43 + -52. Let l = 10 + g. Let k be (3 - l) + -9 - -1. What is i(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -10*q + 5*q - 20, 0 = 3*i + 3*q + 12. Which is the closest to 0.2? (a) 5 (b) 3 (c) 1.9 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34445955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 5*s + 1. Let w = 33 + -24. Suppose -w = -5*m + 11. Determine g(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5086 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t - 2. Let h be y(-4). Let s(b) = b**2 - b - 9. Let f be s(-4). Suppose f*l - 100 = 9*l. Calculate the greatest common factor of h and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1380 and 111\/73608280.\nAnswer: 220824840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 25*t**2 + 67*t + 34. What is z(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -s + 7, 1 = -3*s - 4*h + 2*h. Let u be 2\/(-2)*(-245 - s). Let d = 351 - u. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(2 - (8 + -1)). Is (t\/(-1) - -3) + 2788 + 12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6827*g**2 - 21*g + 207.\nAnswer: -13654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 180.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 9:56 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 58*g**2. Let u be n(-1). Let j be (-81)\/(-36)*8\/6. Suppose 4*d - 64 = -j*p + p, u = 4*d - p. What is the greatest common factor of d and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Suppose 0 = -5*d - j + 251, d + h*d - 267 = 3*j. Suppose -c + 81 = c - s, 3*s = -c + d. 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: In base 15, what is 0 + -b5?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763753217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 31230 = 17*n. Let i = n + -3029. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - -b573?\nAnswer: b597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2. Suppose 12*x = 11*x. Let a(t) be the third derivative of 3*t**2 + 0*t**3 + 0*t + 5\/24*t**4 + x. Calculate a(p(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 199.\nAnswer: -67\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18721 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5\/3 + 2444*m**4\/3 - 105456*m**3 + 15326272*m**2\/3 - 255906560*m\/3.\nAnswer: -4*m*(m - 455)*(m - 52)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/480 + 3*h**5\/40 - 9*h**4\/8 + 17*h**3\/6 - 16*h**2. Let r(z) be the first derivative of a(z). Let r(v) = 0. Calculate v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5372099101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**4\/7 - 234*f**3\/7 - 6222*f**2\/7 + 37210*f\/7 = 0.\nAnswer: -61, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10002201 (base 3) to base 12\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h\/(h**(-5)\/h*h)*h)\/h)\/h)**(-5\/19))**(-8\/11) assuming h is positive.\nAnswer: h**(240\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 637.6 in 9, 1\/10, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -106. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 8*j**2 - 8*j + 11. Is t(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291129 divided by 2.\nAnswer: -291129\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/446 - -455\/4014. Which is the smallest value? (a) -919 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 109*a + 112*a + 11, y = 5*a + 17 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1022*b**2 - 4*b**3 + b - 2 + 2030*b**2 - 1017*b**2. Let l(w) = -w**2 - 3*w + 6. Let n be l(-5). What is the hundreds digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -413c + 153?\nAnswer: -3cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 2*y**8\/7 - 2*y**6\/15 - y**5\/20 - 7*y**4\/4 + 65*y**3\/6 + 3682*y**2. What is the second derivative of u(g) wrt g?\nAnswer: 1920*g**3 - 96*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -24, 4, 48, 114, 208, 336?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.5. Let r = 5.3 - c. Let t = -0.3 + 0.2. What is the third biggest value in -1\/2, t, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -742177 (base 10) to base 4\nAnswer: -2311030201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 3, j: 3, s: 6, x: 7}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 180.11099.\nAnswer: 184.11099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -211\/10. What is the common denominator of z and 23\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-701493.6.\nAnswer: 42089.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 67*k**2 - 13 - 17 + 33.\nAnswer: 67*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 14*w**5\/11 + 6082*w**4\/11 + 94122*w**3\/11 - 841210*w**2\/11 + 968632*w\/11 + 52440 = 0.\nAnswer: -418, -23, -3\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 90)\/(-2*(-1)\/2) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 48*d - 595. Let u(l) = l**3 - 18*l**2 + 29*l + 49. Let j be u(d). Solve 9 = -5*a - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14056?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567 + 67 = 50*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, q: 3, k: 1, v: 2}. Give prob of picking 3 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:54 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 18*i - 62. Let h be m(-6). Solve h*l = 3 + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45454 is divided by 9070.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 60 = 6*m. Let p = 13 - m. Let x = p - 21. Solve -x = 4*a - 2*a - 4*b, 5 = -5*a - 2*b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 798974242 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -7, 2 in ascending order.\nAnswer: -156, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18921 = -156*q - 3*i - 19095, 0 = -3*i - 18 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4783*d + 3*u = 4778*d + 24, -3*u + 6 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 5*v**2 + 4. Let c be t(5). Suppose 0*n = -c*n. Let y = 18 - 14. Solve b - y*b = n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-35))\/(1952\/546560)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (1\/1 - 0). Let f(m) = -m**3 - m**2 + 9*m + 4. Let j be f(-4). What is the remainder when 4*j + (-6 - w) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*a + 4. Suppose 0 = -4*c + 3*c + a. Let 0*h**5 - 2*h + 4*h**2 + 4*h - 2*h**5 - c*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6797466*v**3 - 6507*v**2 - 99 wrt v.\nAnswer: 40784796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 279 - 267. Let i = 48 - -35. Calculate the remainder when i is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4430*m**2 - 70*m - 24. Let y(w) = -885*w**2 - 15*w - 5. What is 3*p(i) - 14*y(i)?\nAnswer: -900*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-45)\/12)\/(-3) - 2. What is the second biggest value in d, -0.1, 26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1146712 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001702 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383876 is divided by 26638?\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735655 + 0.018?\nAnswer: 3735655.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 - 115*n**4*w**2 - 2*n*w**2 + n*w + 947*n wrt n.\nAnswer: 20*n**3 - 1380*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.339077 kilometers to nanometers.\nAnswer: 8339077000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -44655?\nAnswer: 44664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -923.\nAnswer: -369.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-12)*21\/(-14)*32. What is the biggest value in 5, 0.5, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15263 is divided by 425?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2 + 23*d - 93. Give l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 45240 = -36*i. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 2)*(13*x + 21 - 21) + x - 3 + 3)*(-1 - 2*x**2 + 1).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33296303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and 1377?\nAnswer: 206.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2889785774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 497 + -496. Let k(d) = d**2 + 5*d - 32. Let u(m) = -m**2 + 1. Let g(p) = z*k(p) - 5*u(p). Find the first derivative of g(r) wrt r.\nAnswer: 12*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7666, 7656, 7646, 7636, 7626?\nAnswer: 7616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 19*a**5 + 18*a**5 + 7*a**4 - a**3 + (-2*a**3 + 5*a**3 - a**3)*(a**2 + 3*a**2 - 3*a**2).\nAnswer: a**5 + 7*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((90\/4)\/15)\/(10\/(-4))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.074 + -1.926. Suppose 0 = -b + 5*x, -5*b - 46 = -5*x - 6. Let v = b + 15. Sort -1\/3, d, v in descending order.\nAnswer: v, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.09 (b) -3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 - -1 - (4 - 2). Let k(v) = v - 3. Let i be k(5). Put i, q, -1 in ascending order.\nAnswer: -1, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 2 - (2 - (-4)\/(-1)). Suppose -4*l = s*l - 50. Solve -l = 6*y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)*l\/l**(-7)*(l*l**16*l)\/(l\/l**(2\/57)) assuming l is positive.\nAnswer: l**(1028\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 757170*u**2 + 378587*u**2 + 378586*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4.0417*-17\nAnswer: 68.7089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/15 - q**2. Suppose 0 = 5*k - 3*k. Let y(n) = k*n - 3*n + 2*n. Calculate y(o(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 89, 174, 315, 524, 813, 1194, 1679?\nAnswer: 2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 107705118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194189919.\nAnswer: 3, 7, 11, 67, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -51*k. Let y(i) = -15*i**2 + 2*i**2 + 0*i**2 + i**2 + 29*i**2. Determine y(b(x)).\nAnswer: 44217*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/11776 + -138269\/388608. Find the common denominator of 137\/30 and l.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6*b**3 + 14)*(-4*b + 5*b + 2*b + (0*b + b + b)*(-5 + 5 + 1) + 15 + 5*b - 15).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -0.07, 2, -112, -1\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Let m be (-12)\/(-8)*12\/(-63). What is the smallest value in m, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q - 211*q - 6618 = -1776 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -17 - 8. Suppose -p - 113 = -2*b + 57, -5*p = -4*b + 352. Put -1, b, f, -2 in descending order.\nAnswer: b, -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3805, 225, 0.3, -1?\nAnswer: -1\/3805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12097 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 99\/4 of a micrometer?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46765 and 470?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8375618?\nAnswer: 2, 19, 220411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 122. Give k(21).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2 + v + 6. Let w be x(-3). Find the common denominator of (w\/88)\/((-6)\/94) and -51\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 3. Let o be u(2). Let s(k) = -3*k**3 - 10*k**2 - 5*k + 9. Let c(i) = i**3 - i. Let g(y) = o*s(y) - 2*c(y). Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 17*i + 2. Let v be 2\/10 + 5\/(100\/336). Let q be g(v). Suppose -45 = -2*l + 3*p - q*p, 5*p - 120 = -5*l. Is 24 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:31 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 8*d**2 - d - 9. Let b be y(-8). Let f = 21.7 + -22. Put 0.3, b, f in descending order.\nAnswer: 0.3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 175*o - 725. What is the remainder when 447 is divided by n(5)?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 - -165. Suppose 6*q = 1397 - b. What is the greatest common factor of q and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.3 (c) -0.132 (d) -0.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*(((i*i*(i\/((i*i**(5\/7)\/i*i*i)\/i))\/i*i*i*i*i*i)\/i)\/i)\/i*i))\/i)\/i)\/(i*i*i**(-1\/13)) assuming i is positive.\nAnswer: i**(-656\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, -3, -24, -39, -42, -27?\n\"Answer: w**3 - 6*w**2 - 10*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*x - 304 = 0, 4*p + 0*x = -x + 1174. Let m = -94 + p. Let o = m + -123. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3317?\nAnswer: 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0 (c) 386\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*u + 3*p + 2286, -4*u - 5*p = -4594. What are the prime factors of u?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.416769 to three dps.\nAnswer: -0.417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.85 - 0.85. What is the smallest value in z, -8, 1\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 11) to base 13.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 42*c - 4*c in the form m*c + b and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156.5 + -156.5. Which is the nearest to 1? (a) 2\/173 (b) 4 (c) -0.2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 7. Let c(f) = -f + 2. Let d(o) = -21*c(o) - 6*v(o). Let s(j) be the second derivative of j**4\/12 - 2*j. What is d(s(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 0*a**3 + 0*a**3 + (-2*a + 0 + 0)*(2*a**2 - 3*a + 3*a) - 481*a**3 + 276*a - 276*a - 229*a**3 to o*a**3 + f*a + b*a**2 + i and give o.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(2\/9)*(i**0)**(4\/9))\/(((i\/((i*i\/(i\/(i\/(((i**(-2\/3)\/i)\/i)\/i))*i))\/i*i*i))\/i)**(-9)*i\/(i\/(i*i**(-8)*i*i))*i*i**8) assuming i is positive.\nAnswer: i**(-989\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.795268 rounded to 3 decimal places?\nAnswer: 0.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = -5*u + 335 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82274372?\nAnswer: 2, 31, 41, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2403, 9606, 21617, 38442, 60087, 86558, 117861, 154002?\nAnswer: 194987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -5, 0.1, 4 in ascending order.\nAnswer: -5, 0.1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 + s**4 - 2*s**3 + 5 to f*s**3 + t*s + p*s**2 + z + x*s**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 2, a: 4, z: 1, i: 5}. Give prob of picking 1 e, 1 i, 1 z, and 1 a.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 9*l - 1. Let a be u(-8). Suppose h - a = -17. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1525 - -641433?\nAnswer: 643261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 4, n: 1}. Give prob of picking 2 x and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -18. What is the remainder when 67 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4431 - 3213. What is the greatest common factor of f and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -1\/20 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juxxjqxxxjxxj. Give prob of picking 1 x and 1 j.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 584 + -570. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21967 and -3051.\nAnswer: 670.21317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**2 - 2127*g + 4916. Determine t(234).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llm when three letters picked without replacement from mlmmmmmmlmm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2049235+-31803\nAnswer: -31802.7950765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5895649?\nAnswer: 431, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/300)\/((-5292)\/(-2700))?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let u(y) = -2*y**2 + 2*y + 1. Let r be u(2). Let i be 15\/7 + r\/21. Let q(a) = 2*a - 5*a + i*a. What is t(q(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1373194976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + -4 + 0 + sqrt(135)\/sqrt(3) + (sqrt(125) + (-1*(sqrt(125) + 2)**2 - sqrt(125)) - (sqrt(125) + 0)**2*-3)).\nAnswer: -102*sqrt(5) + 1446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 34. Let h be t(14). Let p = 48 + h. Suppose 0 = -5*l + 3 + 12. Solve 2*d + 2*r = 0, p = -5*d + l*r - r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 11 (b) 2\/15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-6) - (-2)\/(-3). Suppose 2*y - f*o - 190 = 0, -o - 76 = -2*y + 113. Calculate the remainder when y is divided by ((-7)\/2)\/((-217)\/4464*3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (19 + -12)) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13430 - -13436. Solve j*k + 157 = 175 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, 0.1, 4\/7.\nAnswer: 2\/33, 0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4043, 8080, 12109, 16130, 20143, 24148, 28145?\nAnswer: 32134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/321822 and -5\/35901032.\nAnswer: 323109288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/11 - 52*n**4\/11 + 865*n**3\/11 - 3942*n**2\/11 - 972*n - 5832\/11 = 0. Calculate n.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3253\/25 - -2293221\/800. Let o = -2736 + z. Find the common denominator of -11\/8 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3822451?\nAnswer: 113, 33827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-755*v**2 + 55 - 51 + 635*v**2)*(-2 + 3 - 3).\nAnswer: 240*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 198.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**3 - 232*j**2 - 397*j - 14050. What is z(-46)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373032.1 microseconds to seconds.\nAnswer: 0.3730321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 901 and -0.13?\nAnswer: -117.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10))\/(21\/(-35))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -268290.373.\nAnswer: -268288.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4981 + 10233*r - 4981)*(3*r + 5*r - 5*r) to k*r + m + c*r**2 and give c.\nAnswer: 30699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -3*y - 146. Let s = -3 - -6. Factor 5*z**3 - 3*z**s + 4*z - 7*z**2 + 13*z**y.\nAnswer: 2*z*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/20)\/(((-30)\/25)\/(-1))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + g**2. Let j(f) = 4*f**3 + 14*f**2 - 9. Let k(z) = j(z) - 3*r(z). Give k(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c = -71*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 2*h**3 + 2*h + h + h**3 as a + n*h**2 + m*h**3 + o*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*v - 15 - 9)*(2*v**2 - 2*v**2 - 2*v**2).\nAnswer: -8*v**3 + 50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 1\/15*o**5 + 0 + 2*o**2 + 0*o + 0*o**3 + 0*o**4. Let t(r) = -3*r**2 - 3*r**2 + 5*r**2. Determine t(y(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(3328) - (sqrt(3328) + 1)) + sqrt(3328))**2 + (sqrt(832) - (1*sqrt(832) + sqrt(832))) + 4.\nAnswer: -200*sqrt(13) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56391 - 1?\nAnswer: 56390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 9, -0.51, -1, -19, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 divided by 13?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(19)*-3 - sqrt(2793)\/sqrt(3).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2152366849 is divided by 1261?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y**2 - 2*y**2 + y**2 - 14*y + 8 - 5*y**2 - 3*y**2. Give w(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 19. Suppose 0 = f - u*f + 6. Let -2 - o**f + 5 + 6 + 4*o**2 - 12*o = 0. What is o?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2107.20273 to one decimal place.\nAnswer: -2107.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.61+-0.168725\nAnswer: 1.441275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11323 + -2?\nAnswer: 11321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (-31 - -19) - -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4942 and -683?\nAnswer: 3375386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-178)\/14)\/((9360\/420)\/(-52)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 p when three letters picked without replacement from {r: 1, p: 1, j: 6, t: 4, o: 1, x: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = o + 3*x, 0 = -3*o - x - 1. Suppose -o = -m + 1. Which is bigger: 4\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 0.9, 6, -0.06, 4 in descending order.\nAnswer: 6, 5, 4, 0.9, 0, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 + 207. Let h = -71.2 + x. Let m = 0.4 - 0.2. Which is the third biggest value? (a) h (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - -168. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -481 + 5*v - 67 - 2*v**2 - v - 2*v to the form k*v**2 + b*v + o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -12, 1 in ascending order.\nAnswer: -12, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35553 (base 8) in base 13?\nAnswer: 6c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64459 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + -67. Let k be 36\/(-8)*(-2)\/3. Suppose 2*g - k*n = -5*n + 18, g - 5*n - h = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a. Let w(l) = l**2 + 57*l - 184. Let f be w(-60). Let h(m) = -1. Let i(o) = 3. Let t(v) = -4*h(v) - i(v). Let n(s) = f*t(s) + d(s). Give n(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 231670.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4860929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -14\/59 in ascending order.\nAnswer: -4, -2, -14\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 240, -2.\nAnswer: -2, 4, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -230, -237, -246, -257, -270?\n\"Answer: -r**2 - 4*r - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-105207)\/(-5) + (172\/20 - (28 - 20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/34 + 4*r**3\/51 + r**2\/17 - 6. Solve m(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -6. Let p be (-16)\/(-8) + (t - 0). Solve -4*i - 3 = p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, -0.06, 3, -10.2 in descending order.\nAnswer: 3, 0.5, -0.06, -4, -10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 29755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzddzzzppzzzdzzzdpzz. Give prob of picking 1 z and 3 d.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g + g - g**2 + 16*g. Let i(c) = -2*c. Determine t(i(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3843*s**4 - 9*s**2 + s**3 + 893*s - 3*s**3 + 2*s**3 - 3860*s**4 wrt s.\nAnswer: -204*s**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:40 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + y - 2. Let i = 0 - 3. Let f be x(i). Let o be (3 - 2)*(-2)\/f. Which is the smallest value? (a) -2\/11 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 1:47 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-152))\/(-1 + 0)*6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 647702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/5))**(-42)*((f\/(f\/f**(-1\/10)))\/f)\/(f**(2\/21)\/f*f*f) assuming f is positive.\nAnswer: f**(-7517\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 1. Calculate k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152048 is divided by 19003?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2007694 and 1209.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.1. Let y = 3938701.1999991 - 3938701. Let n = y - x. Round n to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543317513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/885285 and 42\/9815.\nAnswer: 1737814455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/2 (b) 2\/9 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -80 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4371c5 (base 13) in base 6?\nAnswer: 54001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 8*r - 10. Let g be z(4). Let a be (-576)\/(-2684) - 0 - g\/33. Let b = -5153\/976 - a. Find the common denominator of 11\/16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 3, 24, 65, 132?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2294*d + 11750. Calculate x(-5).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -4*o**2 + 0*o**4 + 0*o**6 + 0*o - 1\/420*o**7 + 0 - 1\/12*o**3 + 1\/60*o**5. Suppose n(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1) + -3 + 3. What is the units digit of (0 - -1)\/(q\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 16*o + 123. Let h be v(22). What are the prime factors of h + 1939 - (-7 - (0 + -2))?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(-33))**(-34) assuming r is positive.\nAnswer: r**(-374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 8. Let g = 41.0001219 - k. What is g rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s**4\/5 + 1613*s**3\/5 - 12914*s**2\/5 + 16659*s\/5 + 4086 = 0. Calculate s.\nAnswer: -454\/7, -3\/4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36173635, 0.7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5)*4 + (sqrt(5) - (sqrt(80) + -5)))**2 + (-2 + sqrt(5) + -2 - (sqrt(10)\/sqrt(2)*3)**2).\nAnswer: -109*sqrt(5) + 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b + 0*b + 15*b - b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -3*i + u - 13, -5*u - 25 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004744 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 9:04 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 3:02 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 a, and 1 x when four letters picked without replacement from {d: 2, x: 4, o: 1, h: 2, k: 1, a: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 31740.2454 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/266 and 59\/342.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9855)\/18)\/((-4)\/40*5). Calculate the greatest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -58. Let d = 16.4 + -16. Let r = d + 0.6. What is the nearest to r in x, -1\/4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + q + 3*q - 11*q + 7*q - 11.\nAnswer: 2*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 110 = 5*a, -5*a + 9 = j - 11. What is the least common multiple of j and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 40911 - 40899 + 81810.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 220*h**3 + 825*h**2 - 1010*h + 400.\nAnswer: 5*(h - 40)*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 41. Let t = 28.99891 + b. What is t rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - -0.09. Let s = b + -0.41. Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567 and 90247941?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/17 + 41\/119. Let a = 16 - 16.2. Let o = 0.11 + -0.51. What is the second smallest value in a, o, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (19 + -70)*(-2)\/6. Is 2694\/2*d\/51 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 3:04 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 861\/82 - (-45)\/(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 27. Let j = p - -15. Solve 0*x - 2*x - j = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**5 - 12*d**4 + 44*d**3 + 204*d**2 + 248*d + 96 = 0?\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12227*b**2 - 12217*b**2 + 230*b + 25*b.\nAnswer: 10*b**2 + 255*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045409865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12381048 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fflv when four letters picked without replacement from {q: 2, l: 1, o: 2, s: 1, f: 2, v: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**4\/24 + 7*u**3\/6 + 17*u**2. Let x(p) = -30*p**2 + p - 1. Let v be x(-1). Let n be (5\/3 - 0)*(v + 35). Determine c(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -15*h + 11. Let o(j) = -3*j + 2. Let v(y) = -2*c(y) + 11*o(y). Let m be v(4). Let q = m + 29. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjx when three letters picked without replacement from jjxjjjjjxj.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.316 + 0.307. Let h = -0.008873 - o. What is h rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r + 310. What is the remainder when 576 is divided by x(-19)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sags when four letters picked without replacement from gfffsggsaffsf.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/(3\/(-102)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 2, x: 2, d: 1}. What is prob of sequence drd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1909 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7200) - sqrt(7200)*-2) + sqrt(50))\/sqrt(10) + -4.\nAnswer: -4 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*-18*4\/(-8). Let i(j) = 2*j - 6. Let g(f) = 5*f - 13. Give d*i(o) + 4*g(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.394*0.148\nAnswer: 0.058312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.482 + 25.8. Let x = j + 0.062. Let a = x - 0.34. What is a rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9*w = -792. Suppose v + 0*v = -f + 77, 5*f - v - 391 = 0. Let z = f - w. Calculate the least common multiple of 2 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/17 or -0.4?\nAnswer: -47\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*(j**6*j)\/j)*(j\/j**(1\/6))\/j*(j**(-1))**16 assuming j is positive.\nAnswer: j**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1, 2*v = -5*p - v + 1308. Suppose -6*w = -p + 39. Let s = 40 - w. Solve 0 = -2*d - s*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/3 + 13*b**2\/2 - b - 3. Let t be h(8). Let k be (8\/3)\/(13\/t). Calculate the greatest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 72*d + 37. Let z be h(72). Let l(c) = 8*c**2 + 5*c + 3. Let y be l(6). Let j be 6*(2 + y\/6). What is the highest common factor of j and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5755, 5756, 5757, 5758, 5759?\nAnswer: 5760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8*w**3 - 2)*(-w + w - 2*w - 5).\nAnswer: -16*w**4 - 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**3 - 8*t**3 - 9*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/29)\/((-780)\/5655))\/((-2)\/56)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (-1364)\/(-22) + -26*(-3)\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 31*q. Let o(y) = -9*y + 5. Let x(n) = -22*n + 12. Let f(j) = 12*o(j) - 5*x(j). Determine s(f(a)).\nAnswer: 62*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2476 + 772 = -96*q + 600 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -32632 equal to -32629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-5) + 1)*5. Let b(u) = 4*u - 18. Let n be b(5). Let q be (0 - (-3 + 0))*n\/(-8). Is q smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**4 - 16*c**3 + 84*c**2 - 92*c + 20. Let t(o) = o - o**2 - 4*o**3 + 1 + 4*o**3 - o**3. Let u(a) = 12*t(a) + z(a). Factor u(v).\nAnswer: 4*(v - 2)**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - z + 1, -2 = p + 2*z - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*b - 98*b = -16*b - 6251 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g + 3. Let x(k) = 399*k - 119. Let u(i) = -238*s(i) - 6*x(i). Let j(h) = -11*h. What is u(j(t))?\nAnswer: 154*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155536 = -17*v - 245970. Let s = 44767 + v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45623323*g**6 - 228*g**2 + 163*g - 75?\nAnswer: -5474798760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*1.9.\nAnswer: 43.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 923 + -918. Which is the third smallest value? (a) -5 (b) 4 (c) -12 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1460 + -1352. Solve -24*s + p = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.92199 + 0.14101. Let m = 0.063 - d. Put m, -0.2, -1\/2 in ascending order.\nAnswer: m, -1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*m**4 - 28*m**2 + m*v + 39*m + 4*v - 5985 wrt m.\nAnswer: -20*m**3 - 56*m + v + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 578680?\nAnswer: -289340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggu when three letters picked without replacement from {u: 4, g: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668627 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 45. Let l be i(-23). Suppose -t - 71169 = -l*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(-5 - (-14420)\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5*r + 4429*m**4*r**2 - m*r**2 + 2*m*r + 214*r**2 wrt m?\nAnswer: -20*m**3*r + 53148*m**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175\/192 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11321 + 5375 - 10959)*(0 + g + 0) to a + k*g and give k.\nAnswer: -16905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 63*v = -67*v - 1367996, 5 = 5*v. What is x rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4523 is divided by 279?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880901 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 558 = -17. Let d be f\/(-46)*(-6)\/(-5). Suppose 3 = 5*m + u, 0 = -4*m + 5*u - 2 + 16. Put 4, d, m in decreasing order.\nAnswer: 4, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 653, 963, 1273?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - sqrt(396)*2) + 3 + sqrt(396).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (0 + -7 - 1). Let p be ((-58)\/(-10) - 5) + (-4)\/(-20). Sort 3, q, p in increasing order.\nAnswer: p, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*n - 10 - 16 + 26 to d*n + f and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h + 694. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6216 divided by 12\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((120\/14)\/(-3))\/((-390)\/1365). Solve -4*v - 3*m - 7 = -4*m, 0 = 3*v + 4*m + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1567619 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10192200 rounded to the nearest ten thousand?\nAnswer: 10190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60913871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 + 3592\/(-144))\/((-9)\/18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 10734209, 1 in decreasing order.\nAnswer: 10734209, 1, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 377*v - 1783. Give r(5).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15958 - -16242. Calculate the remainder when 285 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + -17 + 95 + -68?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*v - 52, -3*k + k + 36 = v. Solve -3*q + k = -c, q - 5*q = -5*c - 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/15 + 2*a**3\/3 + 2*a**2. Find z, given that i(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5164 = 4*u, -3*v + u = -7*v + 5164. Suppose c - 3*p = -2*c + 771, 5*c - 2*p = v. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -24.8851488763?\nAnswer: -18.8851488763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 3146.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (58\/(-3))\/(12\/18). Let s = -7 - q. Suppose 0 = -3*l + 3 + 15. What is the remainder when s is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -156, -370, -670, -1056, -1528, -2086?\n\"Answer: -43*u**2 + u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:14 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -40*d - 20. Let n be b(-6). Round n to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 12592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a - 5*a + a**4 - 3*a - 3 + 3*a**2 - 3*a**4 as m*a + u*a**2 + f + p*a**4 + r*a**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 283512 + -102895. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94460, 188755, 282886, 376853, 470656, 564295?\n\"Answer: -82*y**2 + 94541*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-16753556\nAnswer: 13402844.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)*z**(-2)*z)**21 assuming z is positive.\nAnswer: z**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 3*b**2 - 4*b + 3. Determine t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/27 + (-4)\/(-18). Suppose -s*v - 7 = -3. Let g be (-1 - v)\/((-1)\/(-2)). Solve 2*r + g = -4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3746970184.\nAnswer: 2, 468371273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2557*u - 8895 wrt u?\nAnswer: 2557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((-2)\/(-2))*5\/(-50)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2779953*j**2*v**3 - 7*j**2*z + j**2 + 47*j - 57*v**3*z + 22380*v wrt v.\nAnswer: 16679718*j**2*v - 342*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 111. Suppose k + 2 = 6, 4*n + r*k = 9928. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*s - 353*s = -286*s + 4114 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (73 - 68 - 25)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 - j**2 + j - j**3 + 0*j + 3 + 6*j**2 - 4*j**2. Let g(u) = u**3 - 2*u**2 - 9*u + 1. Let y be g(4). Let t be f(y). Which is bigger: -2\/89 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -9. Let d be -2*27\/6*r. What are the prime factors of d\/(-2)*20\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 11*a**2 + 11*a - 14. Let w(y) = -2*y**3 + 4*y**2 - 4*y + 5. Calculate 4*n(g) + 11*w(g).\nAnswer: -2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:50 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4 - l - 4*l**2 - 1 + 5*l**2. Let y be d(0). Suppose -v + 15 = -5*n, 0*v + n + y = 2*v. Solve -3*o + 2*p + 14 = -8*o, v = -4*o - 4*p - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 14 = 5*z, 5*q + 1 - 4 = -3*z. What is the second derivative of -3*f**2 + q*f**2 + 305*f**5 + 38*f - 271*f**5 wrt f?\nAnswer: 680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**5 - 675*q**4 + 29415*q**3 - 421325*q**2 + 757080*q - 364500 = 0. What is q?\nAnswer: 1, 25, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 12. Suppose 3*r = g + 26. What is the least common multiple of r and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-648)\/(-63) + -8 - 2\/7. Solve 0 = -g*w + 5 + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-145)\/203*-7*(-1368)\/665?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20588 = 10*g + 20758 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 124?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 3*r - 230 - 13*r**2 + 196.\nAnswer: -13*r**2 - r - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*u - 350 = 45, 5*c - 2*u - 502 = 0. Calculate the greatest common divisor of 980 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743885.\nAnswer: 5, 37, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 718575 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*d + 18, -5*d + 8*p - 258199 = -258243 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(484) - (sqrt(612) + 3*sqrt(612)) - (((sqrt(17) - (sqrt(17) + -1))*2 - -1*(sqrt(17) + -2)) + 4))**2*3.\nAnswer: 6576*sqrt(17)\/11 + 3834684\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.15486 (c) 5\/6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6561070 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(2\/(-8)). Suppose 5*i = 3*i + 40. Suppose -2*l - 14 = 3*g - 6*l, 4*l - i = 0. Solve v*j + j = 12, 0 = -2*d + g*j - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -67. Let k = w + 83. Calculate the remainder when k is divided by ((-407)\/22)\/((-2)\/4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59\/16 + 669\/112. What is the closest to 1 in 4, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**5 - 8*b. Let p(d) = d. Let u(k) = m(k) + p(k). What is the second derivative of u(f) wrt f?\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnqqmqqoqhrqqrhor. What is prob of picking 2 q and 2 r?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4155*x + 4150*x = -4*a + 21, -3 = -5*x - 2*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*w - 5172 = 3*w, -4 = 4*w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 + (-12194)\/(-201))\/(-4 + 3185\/795).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 111 + (6 + -3 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -628934, -2515774, -5660506, -10063130?\n\"Answer: -628946*f**2 - 2*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 2, q: 2, x: 8, r: 1}. What is prob of picking 1 r and 1 w?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 1. Calculate n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -0.2, 48200?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111000102220 - 10?\nAnswer: 111000102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2989 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((36\/54)\/(5\/15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 305 = 1859. Suppose 2*x - 40 - 34 = 0. What is the greatest common divisor of h and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let s be (-6 - h)*(-22)\/8. Let p = s + -43\/2. Which is the second smallest value? (a) p (b) -5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33425000 (base 6) to base 16\nAnswer: -f7b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) + 8\/45. Suppose 3 = -2*y + 11. Let m = -0.07 - 3.93. Which is the nearest to -2? (a) y (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 54.\nAnswer: 35\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-1)))\/(o**10*o))\/((o\/(o*o*o**(6\/7)))\/((o*o*o*o\/o**(-11\/5)*o)\/o)) assuming o is positive.\nAnswer: o**(-138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 2*m**3 - 6*m**3 + 1116*m - 1116*m + 2*m**3.\nAnswer: -6*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/17 in 2, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:43 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/120 + 7*k**5\/60 - k**4\/4 + 2*k**2. Let o = 1 - -3. Calculate the remainder when u(o) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1179 divided by -2.\nAnswer: -1179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -886 + 886. Which is smaller: d or 4\/105?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o + 6 = -27*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.3, -2, 2, 187, 0.511, -5\/3, -2\/3?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 9 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237089242 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 5*x**2 + 8*x - 5. Is i(-5) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*r + 14717241*i**2 + 197*i*r + 165*i + 2*r + 33 wrt i.\nAnswer: -6*r + 29434482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 2 - 1)*(-3*q**2 - 3*q + 3*q) - 3*q**2 + 0*q**2 - q**2 to m*q**2 + u + v*q and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 + -88. Let p be ((-196)\/(-12) - w)*(-9)\/(-6). What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8402734 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 375208963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:27 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 581*t - 51325. What is c(87)?\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 - 10 - (-23 + (1 - -1)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12908992 and 512.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 4, t: 7}. Give prob of sequence tltl.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**4*u + 127*s**4 - s**2*u - s**2 - 41*s wrt s?\nAnswer: -72*s*u + 3048*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a9f1c - -2?\nAnswer: -a9f1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 7 = -2*r, -67032*r + 19 = -67034*r + 3*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (-12)\/(-42)*7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(sqrt(396) + 0) - (2 + (sqrt(396) - sqrt(396)*1)))**2.\nAnswer: 144*sqrt(11) + 4764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, -3, 2, 3\/8, 3\/5 in decreasing order.\nAnswer: 154, 2, 3\/5, 3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -666, -998?\nAnswer: -1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 886117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17181 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 7:41 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose -2*l - h*l + 5 = -a, -2*a = 5*l - 5. Solve l = c - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 252*y**2 - 24657*y + 7246. Calculate i(-142).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 5. Solve -2*m = -0*m + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 569 + -569.04079. Let p = -7.94221 + c. Let t = p - -8. Round t to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 1960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 2\/9, -0.3 in decreasing order.\nAnswer: 2\/9, -2\/21, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 961251*u + 5767513. What is b(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*x + 4*u = 67, 3*x - 25*u - 41 = -27*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npno when four letters picked without replacement from {o: 7, n: 5, p: 7}?\nAnswer: 245\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (sqrt(11) + 0)*5 + 4))**2 + 5*(2 + (sqrt(11) + -1)**2 + -3*sqrt(22)\/sqrt(2)).\nAnswer: 215*sqrt(11) + 1314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p - 52. Let o be g(-4). Suppose o*t - 1976 = -700. Suppose 2*k = -2*k + 116. What is the highest common divisor of t and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:53 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 5*t - 8. Let j be h(-7). Let a(z) = -3 - 2*z + 4 + 5*z**2 + 10*z - z**3. Let k be a(j). Solve 5*q + f = -10 - k, 5*q + 2*f = -26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*0.05\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26078664981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1606 + -1442. What is the remainder when q is divided by 143?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*g**3 - 154*g**3 - 1183*g**3 - 581*g**3 + 116*g**3.\nAnswer: -2023*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160 + 1611*c**5 - 12*c**2 - 17 + 441*c**5 wrt c?\nAnswer: 123120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 587 = -5*s, 4*m + 1420 = -m - 3*s. Let y = -196 - m. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 5*u. Let h be q(-5). Suppose 0*t - 2*t + 116 = h. Let s = 1137 + -1117. Calculate the remainder when t is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (1 - 22) - (6 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 bigger than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.656 in 21, -1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2 - 3930592*n + 11791785 = 0.\nAnswer: -3930595, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89677 by -7.\nAnswer: 12811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 1680.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22320787 and 805.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295050 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 31*h**3. Let g be k(-1). Let z be (1 + g)*66\/(-18). Suppose 0 = 7*u - 2*u - z. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 220 - 80. Suppose 0 = w - 2*s - 14, 2*s + s = -9. Let q be o\/w*(-8)\/(-10). What is the greatest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39960911, -79921815, -119882719, -159843623, -199804527, -239765431?\n\"Answer: -39960904*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1214 - -1443?\nAnswer: 2660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4 - 11. Suppose 0*u = 2*u. Suppose u*t + 12 = 4*t. What is the greatest common divisor of q and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 31*g - 16*g - 413. Which is smaller: -6 or g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-3 + 6 + (-10 - -8)) - -4 - -47\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 7. Let v(k) be the second derivative of -2*k**3\/3 + 161*k. Give v(l(j)).\nAnswer: 12*j**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -30*u**2 - 1480615*u + 5922940 = 0?\nAnswer: -296147\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288863239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5254 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 129910*i**2 + 779305*i + 649400 = 0. What is i?\nAnswer: -25976, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {o: 2, g: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 204, -5\/2, 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o - 2. Let f(d) = 46*d + 10. Let x(h) = h**2 - 49*h + 558. Let p be x(32). Give p*s(q) + 3*f(q).\nAnswer: 12*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 736148 divided by -3?\nAnswer: -736148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*b**5\/11 + 10*b**4\/11 - 102*b**3\/11 + 14*b**2\/11 + 8*b - 24\/11 = 0. Calculate b.\nAnswer: -3, -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 890896 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: Let s = 5 - 1. Suppose 6 - 18 = -s*g. Let c be (-6)\/(-10)*(-2)\/3. Put 1\/12, g, c in decreasing order.\nAnswer: g, 1\/12, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/28 + (-11)\/(-36). Let m = 11 + -7. Suppose m*s - s = 0. Is s >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10896\/8*(-2)\/(-6). Let y be a\/14 - 6\/14. What is the highest common factor of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1728, -500, 744, 2010, 3304, 4632?\n\"Answer: s**3 + 2*s**2 + 1215*s - 2946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*h - 1 = 0, -569 = -3*z - 2*h - 1141 + 568 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -103, -12, 9 in ascending order.\nAnswer: -103, -12, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1280001*b + 1. Let l(m) = -2*m - 35. Let k be l(-18). Let g be z(k). What is g rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**4\/12 - 5*y**3 - 97*y**2. What is o(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317962 - -5\nAnswer: -317957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73004 (base 10) to base 8.\nAnswer: 216454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 142579?\nAnswer: 427737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4209 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29439 and 8177500?\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {r: 8, z: 2, q: 2, k: 4, m: 1, g: 3}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-1)\/(-8)). Let i(c) = -20*c**3 + 2*c**2 + 2*c + 1. Let v be i(-1). What is the units digit of (-1)\/f - v\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*k + 14. Does 5 divide (1\/(-1))\/(k\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o**3 + 15*o**2 + 10*o - 9. Let z(n) = 3*n**3 + 2*n**2 + n + 1. Let r(b) = -m(b) + 4*z(b). Calculate r(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 170 = 6*c. Suppose -31*r + 51 = -c*r. Let d be -2*1*r\/2. What is the highest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2680928 divided by 1340464\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 11) to base 15\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -35. Let w = -16 - o. Is 2 a factor of w\/(-7) + (-6)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805064253 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/120 + n**5\/15 - n**4\/24 - n**3\/3 + 2*n**2. Let u(b) = -4*b**2. Let g be u(-1). Let p be l(g). Sort -0.2, 0.2, p.\nAnswer: -0.2, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, -2\/11, 5, -288892, 1\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 3*u**2 - 2*u + 1. Let w be -2 - 3 - (-2 + 0). Let q be r(w). Suppose q*m = 3*m + 20. Let o(n) = -n**2 + 5*n - 7. Calculate o(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74928 is divided by 43?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**10\/211680 + x**9\/105840 - 5*x**4\/12 - 17*x**2. Let o(a) be the second derivative of y(a). Factor o(c).\nAnswer: c**4*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 6. Let j = x - -7. Suppose -8 = 2*h, -2*g + 0*h + 52 = -h. Solve 0 = -0*i - j*i + 2*z - 22, 4*z - g = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243096775 a multiple of 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2954, -5626, -8298, -10970, -13642?\nAnswer: -16314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -76 and -11573.\nAnswer: 879548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 3*r**2 - r**2 + (0*r + 5*r - 3*r)*(-2*r - 2 + 2) - 49 + 49 - 21*r**2 to the form o*r**2 + i*r + k and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**3 - 3*s**3 - s**3 + (74*s**2 - 154 + 154)*(s - 1 + 1))*(10*s - s - s) as d*s**3 + g*s + f*s**2 + t + y*s**4 and give y.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6245946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -13. Let y = 3 - -2. Suppose -2*i = -y*v + 13, v - 4*i + 1 + 0 = 0. Solve 0 = -3*d + 4*s - 25, l = -4*d - 0*s - v*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.1 (c) -13 (d) 1 (e) -4 (f) 128.7 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 16*m**3 - 29*m**2\/2 + 44. Find the second derivative of b(j) wrt j.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Suppose 6 = 3*s, a - 41 = 2*s - 5*s. Suppose 0 = -10*d + 5*d - 4*y + a, 0 = 4*d - y - 28. What is the remainder when d is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11190 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttggttgtgt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 539 = -5*t + 4*m, -m = 4*t - 492. List the prime factors of t.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17710637 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = 5. Suppose 22 = -t*f + 5*w - 11, 0 = 3*f + w + 20. Let u(s) = s**2 + 7*s + 9. What are the prime factors of u(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = l + 38, -4*a - 36*l + 33*l + 19 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 + 2944*s**2 + 248640*s - 119858688 = 0. What is s?\nAnswer: -444, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**31*(i**2)**(11\/6)*i*i\/i**0*i*i*i*i**(-6)*i*i*(i*i*(i**(6\/11)*i)\/i*i)\/(i**(2\/9)\/i) assuming i is positive.\nAnswer: i**(890\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -4*d - 8*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 2*y. Let f(q) = -3861*q**2 - 1285*q. Let p(j) = -f(j) + 4*m(j). Find the second derivative of p(i) wrt i.\nAnswer: 7738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10659*y**4 + 3*y**2 - 402*y + 4?\nAnswer: 255816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(112) + 4)*1 + -5 + -5).\nAnswer: -24*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1257088*x**3 - 2330*x**2 + 38*x.\nAnswer: 7542528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -935, -934, -933, -932, -931, -930?\n\"Answer: p - 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**12)**(-1\/17)\/(o\/(o\/((o*o**(-6)*o)\/o))*o*((o\/o**(-10))\/o)\/o)**(-6) assuming o is positive.\nAnswer: o**(506\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*f + 25, 3*n - 10 = f + 3. Suppose 0 = y + k - 0*k, y = 2*k + n. What is the remainder when 3 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 m, and 1 y when three letters picked without replacement from {m: 7, n: 2, y: 1, r: 1, j: 4, e: 2}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986881.\nAnswer: 7, 140983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 + 67. Let m = -24 - h. Suppose 4*i - 20 = -4*o, -5*o - 4 = -4*i - 2. Solve -l - 2*f = i*f + 30, m = -3*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 60811997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - -39. Let t = 73 - y. Put 0, t, -2 in ascending order.\nAnswer: t, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -275*f**2 - 536*f**2 - 1345 + 442 wrt f?\nAnswer: -1622*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*q**2 - 92*q**2 + 120*q**2 - 4*q to k*q**2 + o*q + r and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/2 + 2109*n**2 + 423360*n = 0. Calculate n.\nAnswer: -192, 0, 4410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 2*x**4 - 2*x**3\/3 - x**2\/2 + 16. Suppose 53*a = 48*a - 5. Determine y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 5*v**7\/7 - v**3\/3 + 2. Find the third derivative of s(a) wrt a.\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4696 = -3*u + 5675. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4*z - 89*r**4 + 7*r**3*z + 5*r**3 + 3*r**2 + 69*r*z + 5*r wrt r.\nAnswer: 48*r*z - 2136*r + 42*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3 + 221*a**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-497)\/(-35) + -5 + 120\/25.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334492489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (21 + -20 + (1 - -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6431*q - 720 = 6521*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*r - 42*r. Suppose 4*k - 20 - 20 = r. Let f(v) = -v + 17. Let p be f(k). Which is the second smallest value? (a) -0.5 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84759, 84765, 84777, 84795, 84819, 84849, 84885?\n\"Answer: 3*b**2 - 3*b + 84759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683203213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 1:12 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-3 - 3)) + (5 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 3*t + 1497. Give v(28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/20 + h**4\/3 - 3*h**3\/2 - 6*h**2 - 3*h. What is the remainder when 21 is divided by n(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 123*k**3 + k**2 - 2*k - 1. Let y be g(3). Suppose 2*i - 1657 = 5*n, 4*i + 4*n - 5*n = y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 5*f**3 - f**3)*(-4 + 5 + 0) + 4*f**3 - 3*f**3 + f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359648 is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -9) + -4 + (1 - -21) - 24.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 13) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54344 and 3294605.\nAnswer: 26356840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddqqdd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -738? (a) 1 (b) -0.03 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5*h + 4*s - 64 = 0, -4*h = -5*s + 53. Let r(u) = -4*u**2 + u + 1. Let q be r(-1). Put q, -5, h in increasing order.\nAnswer: h, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153602 (base 7) to base 14.\nAnswer: ada9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:22 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*y**3 + 78*y**3 + 33*y + 1 + 5*y as s*y**3 + n*y**2 + q + b*y and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 5 - 8*i**3 - 5.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12016 minus -0.8?\nAnswer: -12015.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1221533, -2443133, -3664731, -4886327?\n\"Answer: y**2 - 1221603*y + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4*q - 551*k**4 - 113*k**3*q + k**3 - k**2*q - 541*k**2 + 3*k*q - 10*k wrt k.\nAnswer: 48*k*q - 13224*k - 678*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 76.06. Which is smaller: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from rrrjrqqqrrjjqqjzq.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*w = -w + 296, -5*w + 622 = 4*q. Calculate the remainder when q is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804*d**3 + 862*d**3 + 135*d**3.\nAnswer: 1801*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 160*d**5 - 1260*d**4 + 486*d**3 - 54*d**2 - 1416. Factor k(j).\nAnswer: 2*j*(j - 6)*(20*j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125414161 to the nearest 100000.\nAnswer: 125400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2*3 + sqrt(153) + ((2*sqrt(153) + sqrt(153))*1 - sqrt(153)))\/(3*(sqrt(99) - 2*sqrt(99)*4)\/sqrt(11)).\nAnswer: -3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22011 + -646115?\nAnswer: -1001126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 11\/2, -627, 2\/3, 3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 4 (c) 0.02606 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 7719, 3 in increasing order.\nAnswer: 3, 6, 7719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -27\/11, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13560 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*x**2 - 29*x**2 - 83*x**2 + (1 - 1 + x)*(-1 - 2*x + 1) + x**2 + 1 - 1 + (0*x - 3*x + x)*(-2*x - x + 2*x).\nAnswer: -198*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5708 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + sqrt(171)*-1 + sqrt(171) + sqrt(171))*-2)\/(sqrt(1089) + sqrt(1089)*1 + sqrt(1089)) + 2*(1 + sqrt(475))**2*3.\nAnswer: 658*sqrt(19)\/11 + 2856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 4) in base 2?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*(sqrt(19) + -1))*-4 + (-2*sqrt(133)*3)\/(sqrt(21)\/sqrt(3)*-1))**2.\nAnswer: 240*sqrt(19) + 2044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45387251719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394304698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*v - 94*v + 466*v - 60*v - 140*v - 54*v.\nAnswer: 50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 20*c**2 + 34*c + 34. Calculate p(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 21*q - 31. What are the prime factors of a(7)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8333\/4 + -2083. Is f less than -0.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3385450542?\nAnswer: 2, 3, 31, 71, 269, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m**2 - m + 3. Let j be a(0). Suppose 212*v - 28 = -53*v + 237. Solve -3*f - v = g, -g = j*g - 5*f + 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -97*r + 490. Let z be k(5). Suppose n - 4*x - 6 = 2*n, -2 = -4*n - 3*x. Suppose -z = -n*g + g. Calculate the remainder when 17 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -8) + -1 + -1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78223 divided by 8.\nAnswer: 78223\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -7, -1, 2 in increasing order.\nAnswer: -40, -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -9.9\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y**2 + 468905*y - 156300 = 0. What is y?\nAnswer: 1\/3, 31260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d7 (base 16) in base 13?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5036725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76.245 - 76. Let v = 3.52 + -5.135. Let c = v + i. What is c rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2197081 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94 + 992.\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 21*q + 325 = -89, 4*t = 3*q - 69 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61454467829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1087 - 1082.21. Let p = s + 0.21. Which is the second biggest value? (a) -2\/7 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1. Let k(h) = 11*h + 225. Let r be k(-20). Suppose 0 = r*f - 0*f + 210. Let c(y) = 14*y**3 - 42. What is f*i(n) - c(n)?\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11171 a factor of 1380961639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 38619?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddedednredebde. Give prob of picking 1 b, 1 n, and 2 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/7 + 16*p**2 + 1300*p\/7 + 1184\/7.\nAnswer: -4*(p - 37)*(p + 1)*(p + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 4, n: 10}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1807 = 4*v + n, -3*v = 2*v - 2*n + 2249. Which is greater: -452 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.19*5.\nAnswer: -70.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -9*g**4 + 163*g**3\/5 - 219*g**2\/5 + 129*g\/5 - 28\/5 = 0.\nAnswer: 28\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2 - 4*z**2 - 1 + 5*z**2. Suppose -4*m - 5*f + 2 = 0, 0*m + 16 = 4*m - 2*f. Let t be d(m). Solve -20 = -5*s + 3*p, -2*p - 17 = -s - t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-34))**27*(l*l**(-22\/5))**38 assuming l is positive.\nAnswer: l**(-5236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w. Let a(u) be the second derivative of -10*u**3 - 5*u + 28. Give k(a(o)).\nAnswer: -720*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.017 - -13. Let u = p + 4.017. Which is the smallest value? (a) 1\/8 (b) -2\/11 (c) -1\/5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13968 - 13964. Calculate the highest common divisor of 97 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131330763659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 922 + 0*v**3 - v**3 - 326*v**2 - 922 as g*v**2 + k + h*v + m*v**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20224731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**6\/21 - 18*z**5\/7 + 285*z**4\/7 - 2900*z**3\/21 + 195*z**2 - 126*z + 13907. Factor h(n).\nAnswer: 2*(n - 21)**2*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195776 or 195772?\nAnswer: 195772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/120 - r**5\/10 - 7*r**4\/24 + r**3\/6 - 17*r**2. What is u(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61453b (base 13) to base 12\nAnswer: 913416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -399 - -756. Let q = k - 357.3. Let t = -233\/840 + -1\/120. Which is the closest to t? (a) 8 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*3\/54 - 305\/(-45). Let d(j) = -j - 3. Let p be d(u). Let h(n) = -1 + 2 - 9*n**2 - n**3 - n**2. What is h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108990 and 66432.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -4*p**5\/15 - p**4\/3 - 8*p**2. Find the second derivative of v(s) wrt s.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 5*c + 10. Suppose 0*y - 5*y + 90 = 0. What is the remainder when g(6) is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25 and -78.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-761 - 3)*(-4)\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 8a755b9?\nAnswer: -8a755c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 102. What is the lowest common multiple of 144 and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b - 9. Let y(r) = -r + 1. Suppose 4*o - 67 = 5. Let f(h) = o*y(h) + 2*s(h). Let k(n) = -8*n. What is k(f(i))?\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*i**6*o - 3*i**6 + 19*i**2*o - 5*o wrt i?\nAnswer: -3240*i**3*o - 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43061773 at most as big as 43061774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 8 = 4*o + b, o + b = -1. Suppose 8*y = o*y. Suppose 3*w = a + 32, -2*a = 3*w - y*a - 35. What is the remainder when 21 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**0*k*k*k\/(k**(2\/5)\/k))\/(k\/k**0)**(-28) assuming k is positive.\nAnswer: k**(163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 6 - 2 + 12*a wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(325) + 0) + 0 - (-3*-1*sqrt(325) - (-2 + -1 + sqrt(325))))**2.\nAnswer: -60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/30 - 23*x**4\/12 + 7*x**2. Let v(b) = 2*b - 248. Let u(t) = -t + 155. Let a(j) = -8*u(j) - 5*v(j). Determine a(g(m)).\nAnswer: -4*m**2 + 92*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsunjnunnjsjudzuzjd. Give prob of sequence uunz.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 (base 10) in base 11?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*v**3 - 91*v**2 + 3 - 3 + 180*v**2 - 90*v**2 - 502*v**3.\nAnswer: 65*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, p: 2, g: 1, h: 1, z: 3}. Give prob of sequence zzz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-6) - (-10)\/(-15). What is the highest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 2, t: 2, n: 1, l: 1, q: 1}. What is prob of sequence ql?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 - 26*b**2 - 6*b + 30. Let a(p) = 3*p**3 + 26*p**2 + 5*p - 31. Let t(s) = 6*a(s) + 5*g(s). Does 56 divide t(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = -6*p. Suppose 3*a - 11 = -3*f + 43, -p*f - 19 = -3*a. Solve -5*i - 2 = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -6. Suppose u - 3 = 2*g, -4*g + g + 3 = -3*u. Put u, 4, 5, w in descending order.\nAnswer: 5, 4, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 762*j**4 + 3*j**3 - j**2 + 38060.\nAnswer: 3048*j**3 + 9*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*m**4 + 3*m**3 - 37*m**4 + 280*m**4 + 2005*m + 355*m**4 - 934*m wrt m.\nAnswer: 6228*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/120 - 13*g**5\/60 + 2*g**4\/3 - 17*g**3\/6 - 3*g**2. List the prime factors of j(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 0*h + 6*h**2 - 4 - 2*h**2 - 3*h**2. Let j be n(-4). Solve 4*l + 2 = 2*c - 0*c, j*l - 4*c = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*a, a + a = 3*r - 10. Let d(q) = 5*q + 2*q**2 - 2*q**2 - q**r. Suppose -b + 17 = 3*y, -3*y + 2*b + 0*b + 2 = 0. Calculate d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-17))\/a)\/a**(1\/15))**(1\/12) assuming a is positive.\nAnswer: a**(269\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-99)*(7353\/(-114) + 26).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*b = 245, -3*y - 57 + 287 = -5*b. Let i = -82 + y. Solve i*h = 2*r - 7 - 12, -4*r + h = -13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7392.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/(88\/(-32)) + 6)\/2. Sort 4, c, -3, 1 in decreasing order.\nAnswer: c, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 27, 372, 2, -5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2 - 6*j - 3. Let s(g) = -g**2 - 2 - 6*g - 6*g + 4*g**2 + 8*g. What is 8*s(o) - 5*z(o)?\nAnswer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from yppwjwpyzypwppcjyp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*10\/125 + (-3)\/(-15). Which is greater: -2\/11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 363800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132566.\nAnswer: 2, 7, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -677\/5 + 135. What is the nearest to 4 in -3\/2, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 312 - 309. Let f(g) be the first derivative of 4*g + 0*g**2 - 10 + 11\/3*g**a. Differentiate f(u) with respect to u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 + 3*f - 5. What are the prime factors of d(-7)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -506727, -2026911, -4560551, -8107647?\n\"Answer: -506728*p**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256124*l**2*m**2 + 16*l**2 - 190057712*l*m**2 wrt l?\nAnswer: -512248*m**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 94 (b) -0.2 (c) -2\/17 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053204 + -9.\nAnswer: -8.946796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (3 - 5 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {x: 4, i: 2, q: 1, f: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -27.3. Let c = -4.7 - m. Let o = 2\/99 + -1\/9. What is the nearest to 0.1 in c, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 0.06 (c) 1 (d) 0.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225342233 - 0.19?\nAnswer: 2225342232.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 40767.95 litres?\nAnswer: 40767950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -479.5 + 479. What is the nearest to -1\/3 in 5, -2, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*x - 64*x + 189. What is the least common multiple of 72 and x?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = -3*q + 5 + 7, 7*b - 2*b - 290675*q = -290673*q - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldlllllldl. What is prob of picking 3 l and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s - 90*s - 41*s - 8*s - 3*s to p*s + d and give p.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*n - 37*n - 3075 + 30*n - 177*n.\nAnswer: -353*n - 3075","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 92*v**3 - 2*v + 1. Let h(f) = -3*f. Let g be h(-1). Suppose g*a = a - 2*w - 8, -29 = -4*a + 5*w. Is z(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -28*n + 303. Calculate h(15).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjkbjrjbrjjfkbj. What is prob of picking 1 j, 1 f, and 1 b?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*q. Let b be 2*(0\/2 - -1). Suppose q*w + b*w = 38. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q - 2*q)*(8 - 5 + 2) + (0*q - 2*q + q)*(-1 + 1 - 1).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158250, 158203, 158118, 157995?\nAnswer: 157834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, -446, 358 in decreasing order.\nAnswer: 358, -101, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*n - 10 = 37, 5*n + 10 = 0. What is the remainder when (13*2)\/(4\/4) is divided by (-130)\/y*18\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 + 13 = 0. What is the closest to 0 in c, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-2)*(3 + -5). Let u = -1 - q. Suppose 0 = -2*z - 4*p + p + 45, 5 = z - p. Solve -4*b - u*x = -0*x - z, -5*x = -b - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -q - 6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12591025 is divided by 299786.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -14*b + 2. Let m(l) = l**2 - 6*l + 3. Let a be m(5). Let p be w(a). What is p rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 10) + 10 - 2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/44 and -87\/154?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -48*m**2 + 1249*m - 17. Let c be g(26). Let d(w) = 5*w**3 + 3*w**2 - 2*w + 4. Let y(l) = 19*l**3 + 12*l**2 - 9*l + 17. Determine c*d(j) - 2*y(j).\nAnswer: 7*j**3 + 3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*y + 1 - 78*y + 6 - 2*y**2 + 7 in the form c + f*y + x*y**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-51))\/((-3)\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002127127 rounded to six dps?\nAnswer: 0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*l - 5644 - 224*l**2 - 3*l**3 + 19*l - 105*l + 222*l**2 wrt l.\nAnswer: -9*l**2 - 4*l - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-0.13.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5, 0 = w + o - 10 + 9. Which is bigger: 2.3 or w?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 3*v**2 - 2. Let y(s) = -2*s**3 + 2*s**2 - 1. Suppose -15 = -6*g - 39. Determine g*h(a) + 5*y(a).\nAnswer: -2*a**3 - 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o. Let h(i) = -8*i**3 - i**2 - 43*i + 3. Determine h(t) + 6*u(t).\nAnswer: -2*t**3 - t**2 - 49*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499 - -511. Find b, given that l - 11 + 3*b**2 - 33*b - 1 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + 9 - (-1 + -13). Suppose 4*m - l = 3*b - 40, -b - 5*m + 28 = 0. Solve -3*x - 4 + 10 = 3*f, 5*f = -2*x + b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1)*(-16)\/(-12). What is the third biggest value in z, -2, -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 63.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a factor of 2263170624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5 + 34*j**4 - 106*j**3 - 538*j**2 + 1908*j - 1296 = 0.\nAnswer: -4, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/11)\/(k**8\/k))\/((k*k**(-6\/5)*k)\/(k*k*(k**(2\/11)*k)\/k)))**(-10) assuming k is positive.\nAnswer: k**(598\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656095328 to the power of 1\/2, to the nearest integer?\nAnswer: 40695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 4*n**2 - 2. Let u be s(-4). Let m = u + -4. Let r be m\/(-2) - (-4)\/2. Solve -r*k = -4 + 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/2))**(-17)\/(u**(-2\/23)\/(u\/u**0)))**(-23))**(-6\/11) assuming u is positive.\nAnswer: u**(1323\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:47 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*n = 78*n - 24. Let a(p) = 22*p**2 + 56*p + 6. What is the hundreds digit of a(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*j - 5*d + 103, -5*d = 5*j - 165. Let y be (44\/(-8))\/(4\/(-8)). Calculate the highest common divisor of y and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -x, 19*x - 15*x = 5*j + 87. Calculate the greatest common factor of 6858 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -b91c86a?\nAnswer: -b91c868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -9) + 39*2. Suppose 0 = 4*k + 5*p - c, 4*k - 2*k + 2*p - 42 = 0. Calculate the least common multiple of k and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.1 - 7.2. Let t = r - -2.1. Let z = t + -19. Sort 4, 1\/3, z in ascending order.\nAnswer: z, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167073370.\nAnswer: 2, 5, 163, 102499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(1\/2)*o)*o\/o**(1\/9))**(-10)\/((o**(3\/5)\/o)\/(((o\/o**(-3\/5))\/o)\/o))**(10\/3) assuming o is positive.\nAnswer: o**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u + 113. What is q(14)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 437825\nAnswer: -19\/437825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 588, 1201, 1852, 2559, 3340?\n\"Answer: 3*w**3 + w**2 + 589*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u + 17*u**3 - 4*u**2 + 4*u**2 - 15*u as j + r*u**2 + h*u**3 + p*u and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3 + 0 - 4*a - a**2 - a. Let s(r) = r + 17. Let y be s(-6). Let m = -16 + y. Determine c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9087507064 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2322))\/(-4 - (-126)\/27). Let n = -9868\/387 + p. What is the common denominator of n and 85\/116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 6:20 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2776 and 10.\nAnswer: 13880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -12, -68, -180, -366?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(6\/8278))\/(-5 - -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6116160.3 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 162*x.\nAnswer: -x*(x - 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (1 - (-35)\/(-10))*-46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-48)*10\/(-50)*2*(-18)\/51?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20276338.\nAnswer: 2, 10138169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2414)\/(-153) + -13 + -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2\/11 (c) -5 (d) 2\/25 (e) -74 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*b + 2*b**3 + 2 + 438*b**2 - 439*b**2 + (0*b + 0*b + b**2)*(-6*b + 2 - 2).\nAnswer: -4*b**3 - b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 9) to base 3.\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 452*w**5 + 172*w**3 - 916314*w**2 + 1.\nAnswer: 27120*w**2 + 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1457749*b**2 - 4*b + 73627.\nAnswer: -2915498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*a + 16, 3*u - 18 = u + 4*a. Suppose -5*v + 2*v - 24 = 0. Let t = v - -20. Solve -u*o + o = t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0\/(-1) - -11. Suppose -w + 4 = -y. Is 9 a factor of (0 + y)*(-42)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1145.12 + 1145.417434. Let y = g - 0.3. Round y to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5708 + 7.5708. Which is the closest to q? (a) 0.1 (b) 23 (c) -5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*0.71203\nAnswer: -0.640827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82456 by 8.\nAnswer: 10307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11416, -14259, -17100, -19939?\n\"Answer: j**2 - 2846*j - 8571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = 341 - 539. Suppose -309*g = -320*g + b. Find h such that -6\/13*h**3 - 2\/13*h**4 + 0 + 8\/13*h + 0*h**g = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7980a - -10?\nAnswer: 7981a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 531 and 1298.\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 783 - (-56)\/8*(-8)\/(-14). Let y = 790 - h. Solve -t - 7 = -0*p - y*p, -3*p - 5 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(-2*sqrt(726)).\nAnswer: -sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 34 = -5*h. Solve 0 = h*w - 26*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Suppose z*m - 3*d - 4 = 0, 2*m + d - 8 = m. Suppose m*s - 215 = -s. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 64*d - 83*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/((-40)\/(-154)) + (3 - 3) and -2 - ((-16)\/(-11) + 0).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8594053.46999926 - 8593970.47. Let h = c + -83. Round h to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 55 = 41. Solve -k = 12 - j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 18 - (-7 - -12 - (3 + -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -28, -58?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - n**2 - 5)*(48*n - 4*n + 2*n)*(2*n + 4 - 4) + 3*n**4 - n**4 - 3*n**4 + n**4 - n**4 - 4*n**4.\nAnswer: -97*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -5, 1.1024, -3, -0.064?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa496a (base 12) in base 5?\nAnswer: -1143011340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 386612 and 18?\nAnswer: 3479508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*x - 1)*(-3*x + 2*x + 2*x + 3).\nAnswer: -4*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from jbdiihihbgb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**2 + 82*d**2 + 50*d**2 + 57*d**2.\nAnswer: 170*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 - 484*v**3 - 10156*v**2 + 1529476*v + 28885320 = 0. What is v?\nAnswer: -45, -19, 82, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 + 4*w**3 - 10*w - 9*w**2 - w**3 - 4. Is 6 a factor of x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*h - 736 + 2080 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2511*d**3 - 50*d**2 + 20*d + 5. Let n(l) = -2*l**3 + 3*l**2 + 3*l + 1. Let i(c) = 5*n(c) - x(c). Find the third derivative of i(r) wrt r.\nAnswer: 15006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = -0*i, 4*x = -2*i + 82. Differentiate x + 33 - 58*f + 82*f - 44*f wrt f.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10833, 10853, 10887, 10935, 10997, 11073?\nAnswer: 11163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-274)\/(-4))\/((-1)\/2). Is 3\/(-2) + w\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rbrrbbrorbbrrbxrb?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsi when three letters picked without replacement from sittisvqss?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a factor of 149452369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k + 3*r + 7, 0 = -k - 5*r - 16. Let g be (-1 + -2)*(-36)\/27. Solve 3*m - 11 = z, -k*z + g = 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8655, -14476, -20297, -26118, -31939, -37760?\nAnswer: -43581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.634308km in millimeters?\nAnswer: 8634308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 1864*q**4 + 2*q**3\/3 + 2175*q**2 - 5751. Find the third derivative of m(r) wrt r.\nAnswer: 44736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, 1\/3, 2, -5 in descending order.\nAnswer: 2, 0.36, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m - 117*m + 13*m + 55*m + 37*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -10*j + 209. Let v = j + 19. Solve -2*k = -h - 3, v*h = -4*k + 5*h + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33155 - -1330?\nAnswer: -31425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.5278 - 0.5278. What is the smallest value in -0.01, c, 1\/19?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -281\/5 + 56. Sort 1\/10, -61, l.\nAnswer: -61, l, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -48*z - 20. Let b(p) = -7*p - 3. Let q(h) = -20*b(h) + 3*m(h). Let s(n) = 5*n. What is s(q(t))?\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**5*n + 6*l**5 + l**4 - 15*l**2*n + 1923*l*n wrt l.\nAnswer: -300*l**2*n + 360*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 6*u**2 - 7*u + 4. Let o be b(-7). Suppose 0 = l - 3*k + k - o, 2*l - 3*k - 8 = 0. Suppose 7 + 9 = l*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -2460143?\nAnswer: 2460137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyk when three letters picked without replacement from jxchcxcxyky.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 2*w + 48. Let d = 14 + w. Suppose 0 = -d*s + s + 2*o + 105, -5*o + 25 = 0. What are the prime factors of s?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(6\/5)\/v*v**2*v*(v**(-6))**31 assuming v is positive.\nAnswer: v**(-914\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2737 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2 + 10*i - 10. Let o be x(8). Let h = -63\/208 - 362519\/1456. Let l = h - o. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, -1, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1372 (base 8) to base 11.\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/120 + m**5\/15 - m**4\/4 - 2*m**3\/3 + m**2. Let j(f) = f**2 - 12*f - 5. Let v be j(12). What is the units digit of k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.41 and 15450.\nAnswer: -52684.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + -1 + sqrt(891) + sqrt(891) + sqrt(891)*1 + 5)**2.\nAnswer: 324*sqrt(11) + 8055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*r - 74 = -2*j, -5*r - 180 = 5*j. Let x be (-7)\/j + 20002\/(-28). Let z = x - -3529\/5. Calculate the common denominator of z and 15\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:02 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2830982?\nAnswer: 2, 7, 11, 31, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*n + 4916*n + 4950*n - 2833*n - 607108 = 0 for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*z**2 - 3)*(-2817*z - 10454 + 10454 + (3 + 1 - 2)*(6*z - z - 3*z) + 6*z - 2*z - 3*z).\nAnswer: 5624*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713007096 a multiple of 917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*s - 16*s + 38*s + 42*s + 118*s.\nAnswer: 297*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -22. Let n = -10 - h. Suppose -u - n*u - 27 = 0. Is u <= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 42*b + 1477. Calculate the lowest common multiple of r(-29) and 259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 31 = -t - o, -3*t - 3*o + 75 = 0. Let g = -5 + t. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026\/(-270) + (14 - (-629)\/(-51)) + (-14)\/(-6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c + 72. Let k be x(-10). Let m(a) be the second derivative of -a**3 - 4*a + 1\/12*a**4 + 0 + a**k. Determine m(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 1, b: 2, d: 1, e: 4}. Give prob of sequence see.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -55, -88 in increasing order.\nAnswer: -88, -55, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1290 + 2439*f**2 - 139*f**2 + 1292 as w + m*f**2 + j*f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1913743.94 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0.5, -404.\nAnswer: -404, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2355197, -9420792, -21196787, -37683182?\nAnswer: -58879977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - -3 - -2 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 10*p. Let i(t) = t. Let z(g) = -1. Let l(v) = -i(v) + z(v). Let n be l(5). Does 12 divide m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/((-40)\/6)*2*2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7650 + -7654. Put -1, -1\/2, 9, j in decreasing order.\nAnswer: 9, -1\/2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v + 176001 = 32352 + 678921. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 - -2.48. Let z = d - 2.5. Let x = z + -0.9. Is x not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -241, -355, -473, -595, -721, -851?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 689920 divided by -172480\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-47)\/235 - (-17)\/35. Let c = 31.05 + -31. What is the closest to 1 in y, c, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 143722, 4, 0 in increasing order.\nAnswer: -3, -2, 0, 4, 143722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 107*h - 1333. Calculate l(12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -7805.1611\nAnswer: 546.361277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 205.1449 years?\nAnswer: 20.51449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1 - 6. Let x = -3 - p. Let j be (-8)\/(-14) + 0\/(-3). Sort 3, x, j in increasing order.\nAnswer: j, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 12*a**2 + 2*a - 9. Let n be s(6). Suppose i - 3*i + 2419 = 5*q, -n*i - 9 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1.2 (c) 0 (d) -0.3 (e) 19 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -3 + (-1)\/(-1). Let z(t) = 22*t**2 - 3*t - 2. Calculate the remainder when z(i) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24545, -24511, -24471, -24431, -24397, -24375, -24371?\nAnswer: -24391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0007 + 3.3307. Let c = x - 3.329853. Round c to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/60 + 23*r**4\/12 - 125*r**3\/6 - 109*r**2. Let j be n(43). Sort 0, j, -5 in descending order.\nAnswer: j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -17*r + 111. Calculate w(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10721 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10252*r**2 + 4757*r. Let p(b) = -1708*b**2 - 793*b. Let q(o) = 4*f(o) + 23*p(o). Find the second derivative of q(s) wrt s.\nAnswer: 3448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 485 (c) 175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20219 (base 12) to base 14\nAnswer: 11325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 + 41250*i - 82520 = 0 for i.\nAnswer: -8252, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 393341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 920\/46*(14*(-13)\/(-546))\/((-8)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8724894 plus 22?\nAnswer: 14.1275106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 3:36 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5901.262ml in litres?\nAnswer: 5.901262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 41 = -n, -15*n + 17*n + b - 92 = 0. 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: Subtract 138 from -0.17.\nAnswer: -138.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2936 to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -0.7. Let t = -0.3 - n. Sort t, -4, 3 in increasing order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*3.22.\nAnswer: -5.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. Suppose 0*y - 2*y + 3*u + 45 = 0, -3*u - 15 = v. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:04 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b. Let c = -13445 - -21926. Let o(q) = 4*q - c + 8481. What is o(j(n))?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107735?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23584, -23598, -23612, -23626?\nAnswer: -23640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 3*b**2 + 19*b - 2. Let z be v(-3). Sort z, 3, 5, 58 in decreasing order.\nAnswer: 58, 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -541, -1800, -4255, -8308, -14361?\nAnswer: -22816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 + 117 = -28*q - 30*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-12) - (-71)\/2. Suppose -5*n + y = -170. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -605345 divided by 1807\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 4, q: 3, g: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 127. Let o be 1\/j + (1 - 1) + 11. Let i(l) = o - l - 5 - 4. What is i(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6225888 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 624 - (-1)\/2*(-5 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = n + 5*y, 10*y = -4*n + 7*y + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*((3 + 2*sqrt(7))*-2 - (-5 + sqrt(7)*-1 + -3))*-4)**2.\nAnswer: -4800*sqrt(7) + 26801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -40. Let i = -1\/979 - 91045\/1958. Calculate the common denominator of (154\/s)\/((-12)\/(-10)) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 - 2*i**2 - 8*i + 13. Let l be h(6). Factor 12*s**l + 643*s**2 + 11*s + s - 607*s**2 - 45*s**3.\nAnswer: 3*s*(s - 2)**2*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 14*d = 17*d + 42449, d + 42443 = 5*j. What are the prime factors of j?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819536 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12205*u**2 + 35*u - 35. Let q(z) = 1017*z**2 - 3*z + 3. Determine -35*q(s) - 3*w(s).\nAnswer: 1020*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = -22*l + 223941. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 22. Suppose 6*v - 3*v + g*b = 55, -58 = -4*v + b. Let q = 45 - 0. Calculate the highest common factor of q and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -21*p + 528. What is j(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 108900 rounded to the nearest 1000?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 14*q + 2. Let b be t(-14). Calculate the remainder when (b\/(-3))\/((-30)\/855) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-96)*(-18)\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 93 (b) -0.2 (c) -4 (d) 5 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18063, -36290, -54517, -72744?\n\"Answer: -18227*f + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - 12*m**2 + 14*m + 20. List the prime factors of w(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872))**2*2.\nAnswer: -96*sqrt(13) + 3752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-3 + (-11)\/(-3)). Suppose -g*p + 1 = -1. Let k = p + 27. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*y + 46*y - 35 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48523.93l?\nAnswer: 48523930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from ysscsssssysc.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from {t: 7, a: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from wiwxxwxxxcxxixxw.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:51 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*40 - (-2 - 0) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9679127 to the nearest integer?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 943188 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2688? (a) -10 (b) 1\/5 (c) 3 (d) 11\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + (-6 - (-8 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3884?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cej when three letters picked without replacement from jejccjjjjjcejeec.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(8)*-2)\/(-3*sqrt(64) + sqrt(4)).\nAnswer: -8*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5179 + -5166. Solve -9*x + t = -8*x - 5*j, 2*x = 3*j + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-28)*k**46*(k*k**11)\/((k*k**(-6)*k*k)\/k))**27 assuming k is positive.\nAnswer: k**918","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 980*u + 2299. Let s(x) = 3920*x + 9194. Let q(b) = 9*h(b) - 2*s(b). What is the first derivative of q(d) wrt d?\nAnswer: 980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - -3 - (8 + 1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 782, 1580, 2376, 3170, 3962, 4752?\nAnswer: 5540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12*36\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 3:31 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 t, and 2 s when four letters picked without replacement from fsototostgstsoo.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and 706?\nAnswer: 220272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 22*g**5\/5 - g**3\/3 - g**2 + 6*g + 2. Find the second derivative of h(v) wrt v.\nAnswer: 264*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.3957 - -0.0157. Let y = -6.7 - o. Let b = y - 2.2. Round b to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.1. Let u = 0.11 + -3.11. Let x = -2 - u. Which is smaller: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 111010?\nAnswer: 110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Suppose -k*f + 2*w + w + 9 = 0, 3*f - 4*w - 6 = 0. Let l(z) = -z**2 + 12. Calculate the least common multiple of f and l(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 5*b**3\/3 - 39348. Let i(p) be the first derivative of 2*p**3 - p - 1. What is -4*i(r) + 5*l(r)?\nAnswer: r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*m + 121*m + 6670 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1411 is divided by 54?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/(((-8)\/(-48))\/((-10)\/75))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*h + 8*h = 4, 2*x - h + 4 = 0. Let q be x\/(8\/(-6)) + -10 + 10. Solve 2*g = -q*z + 1 - 5, -4*g + 10 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -269, -1441, 5, -1.\nAnswer: -1441, -269, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 17679.1 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a - 550632*a**3 - 21*a.\nAnswer: -550632*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 473*u**2 - 475*u**2 + 0*u + 0*u. Let s(q) = -10*q**2. Give d(s(c)).\nAnswer: -200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38282 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6 - 88210440*c**4 - 48882719*c**2 wrt c?\nAnswer: 240*c**3 - 2117050560*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**4*v*v*v*v*v**11*v\/v**(-11\/3)*v*v*v*v**(-3\/4))**(2\/73) assuming v is positive.\nAnswer: v**(347\/438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1.4 (b) -1\/32 (c) 2\/9 (d) -6\/13 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 - 8*a - 1. Let q(f) = f + 1. Let u(i) = l(i) + q(i). Find the second derivative of u(n) wrt n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63081581 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 71*m**2\/2 - 744. Let p(s) = 2*s. Determine p(v(c)).\nAnswer: 142*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 44 = 68. Suppose -2*v + 4*z + u = 2*v, -64 = -5*v + 2*z. Find the third derivative of -6*s**2 + v*s**2 + 13*s**5 - 4*s**2 wrt s.\nAnswer: 780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -120*y**2 - y - 2. Let q(r) = -59*r**2 - 1. Give -5*q(k) + 2*t(k).\nAnswer: 55*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/35)\/(2\/7). Let q be 32 - 0 - 0\/2. Solve -4*d + n = -4*g, -4*d - 4*g + q = -g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, -0.078, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*z + 5 = 0, -4*i + 8 = 4*z - 8*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -8 - (5 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 150, -376, -1112, -2058?\nAnswer: -3214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717112473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -92. Let v = -32 - -17. Let a = 21 + v. What is the remainder when s is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*c - 35 = 0, 2 + 0 = 2*a - 2*c. Suppose 1 = 6*z - a. Suppose -3*y - z + 0 = 4*l, -y - 7 = 3*l. Solve -y*w + 0*w = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjajaajjjjaaa.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 + -231. Let v(c) be the first derivative of 1\/30*c**4 - 1\/45*c**6 + 0*c**2 + 6 + 0*c**5 + 0*c**3 + x*c. Suppose v(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/30 + 19*u**4\/24 - 8*u**3\/3 + 74*u**2 - 7*u. Calculate k(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*y = 2800, x + 128*y = 127*y + 709. Let n = x - 703. Factor 0*r + 1\/4*r**n + 0 + 1\/4*r**3.\nAnswer: r**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0*w + 0*w**4 + 0*w**5 - 1\/2*w**3 + 0 + 1\/1260*w**6 + w**2. Let u(o) be the first derivative of v(o). Solve u(l) = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -30693637*r. Let u(l) = 2*l. Determine u(m(y)).\nAnswer: -61387274*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 = -2*v. Let f = v - 11. Suppose f*y = -2*y + 10. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24551432, 24551420, 24551408, 24551396, 24551384?\nAnswer: 24551372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) + 141\/27. Suppose -s*i + 16 - 41 = 0. Let w = -3849 - -3849. Which is the nearest to -3\/2? (a) w (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9494429 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 3016152822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/5, -1, -0.2 in descending order.\nAnswer: 1\/5, -0.2, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -39. Solve y + r = p, 4*y - y = p + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 30*n**2 - 5*n - 2. Determine y(-2).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 39. What is the remainder when 81 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**5*p)**(1\/31) assuming p is positive.\nAnswer: p**(-3\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056763 to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15840*r = 15833*r + 163576. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*g + 5*l + 99, 1 = 2082*g - 1040*g - 1038*g - l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 1)*(-5*y**3 + 2*y**3 - y**3) + 1114 - 1114 - 9*y**3 as i*y**3 + m*y**2 + a + w*y and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*(-11)\/1089*(-6105)\/(-222)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/12 + 7*c**3\/6 + 7*c**2\/2 + 71*c. Determine d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1266, -3, 0.1, 2, -0.13, -0.5?\nAnswer: -1266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75070 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -905, 3.036?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79909, 159567, 238975, 318139, 397065, 475759?\n\"Answer: k**3 - 131*k**2 + 80044*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4954 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(21\/6)*16. Let h = 193\/6 - z. Find the common denominator of 7\/33 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.15 (b) -951531.8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*n - b, -22 + 6 = 27*b - 23*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 595 = 17*x. Calculate the greatest common factor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 279, 465, 665, 873, 1083, 1289, 1485?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/12 + 15*f**2\/2 - 45*f. Let h(j) = j. What is n(h(y))?\nAnswer: -y**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:37 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6 - -3.6. What is the third smallest value in 3\/8, -3, o, 19?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1082 = 207. Let n = -585 + z. What is n rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 14815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477524574?\nAnswer: 2, 3, 23, 1153441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1920\/(-1152)*(-6)\/5. Let t(g) be the second derivative of -28*g + 0 - 5\/3*g**4 + 0*g**z + 2\/3*g**3. Find the second derivative of t(k) wrt k.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -45. Solve 3*y - 8 = 4*s - 1, -h*s = -4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -99 - 17 - (-3 + -29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -44*m**3 - m. Let a(t) = -t**3 + 2*t**2 + t - 3. Let b be a(2). Let x be h(b). Are x and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((-80)\/(-42)))\/(216\/(-720)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -432, -714, -996, -1278, -1560, -1842?\n\"Answer: -282*d - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*t**3 + 11466\/5 + 1974\/5*t + 22*t**2 = 0 for t.\nAnswer: -21, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - x = -7. Sort -1, 7, x in descending order.\nAnswer: 7, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 14*n**2 - 74*n + 76. Let k be z(18). Solve -10 = 6*p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let y(t) = t**3 - 2*t**2 - 5*t + 3. Let j be y(b). Let d(z) = -z**3 - 5*z**2 - 3*z. Determine d(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 17. Let n be l(-16). Let b be n\/(4*2\/1104). Let w = b + 251. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -3, 30, -0.08?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 392\/(-1470)*4\/((-96)\/9).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - -0.0499987. Round i to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 2*b. Let z(p) = 3*p - 4*p - 9*p**2 + 0*p - 8*p. Let m(a) = 21*g(a) - 5*z(a). Find the second derivative of m(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 122, 491, 1106, 1967?\n\"Answer: 123*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w - 1. Let a(l) = 7*l**3 + 1. Let f(k) = -a(k) - 2*n(k). Let x(z) = -5*z**3 - z + 1. Determine -3*f(p) + 5*x(p).\nAnswer: 2*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 316123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**3 + 19*t**2 - 26*t - 18. Let a be z(8). Let l be a + (-5 - 2) + 8. What is l rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 6*b + 5*b = 12, b + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -1\/3*l**3 + 1\/7*l**7 + 0 + 11\/4*l**4 + 0*l**5 - 20*l**2 + 0*l**6 + 4*l. Find the second derivative of u(g) wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -5398?\nAnswer: -539c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p - 15. Let c be 1 + 2 + 1 + -2. Solve 1 = c*f - p*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 9 = s, 3*s - 19*g + 4034 = 4035 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w + 0 + 9 + 5*w**2 - 7 - 3 as u*w + a + z*w**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-12)*2\/(-50). Let h be (-77)\/220*4\/(-6). Let j = v - h. Is -0.3 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96450 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54048?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 13091731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 0*f + 4*f**2 - 3*f**2 + (-f**2 - 4*f**2 + 3*f**2)*(1 - 3 + 3) - 76*f**2 + 23*f**2 - 43*f**2 + 0*f + 0*f - 3*f**2 + 2*f**2 + 2*f**2 - 2*f**2.\nAnswer: -98*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from xwxwww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-35 - -27)) + -15 - (1 - -8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6184 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*j - 27118, -5*j + 10*j = -10. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 63 = 5*g, -g = -x - 4*x - 211. Let f = x + 67. Let o be (-2)\/f - 1\/4. Which is the third smallest value? (a) -3 (b) 5\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*6)**2*-3.\nAnswer: -29376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-3)\/12). Suppose -2*q + 18 = -5*n, -n - 2*q + 12 - 6 = 0. Calculate the remainder when (32\/(-10))\/(o\/(-20)*n) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, w: 7, u: 5}. What is prob of picking 4 u?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -38. Solve h*p - 5*p + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 393840*k**3*m + 3*k**3 - k*m**4 - 3*k*m - 36*k - 83345 wrt m.\nAnswer: 393840*k**3 - 4*k*m**3 - 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225545 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-3*s**2 + 4*s**2 + s**2) + (s + 4 - 4)*(-3*s + 6*s + s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + 2.5. Let i = l + -3.3. Let j = -7\/2 - -81\/22. Which is the nearest to -1? (a) i (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/5)\/(6\/80). Suppose -4*g + 4*q + u = q, -3*q - 20 = -5*g. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) - (2 + sqrt(567))) + sqrt(7))*2)**2.\nAnswer: -16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247.5275 rounded to the nearest 10?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 14*v + 32. Let t be p(11). What is the common denominator of 103\/22 and (-285)\/48 - t*3?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.02 (b) 350 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 77 (b) -3\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-45))\/((-8)\/790) and -101\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265 + -260. Let p = 108\/133 - 10\/19. Which is the second biggest value? (a) j (b) p (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/(-171)*(-69)\/943?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2537 and 15163.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-25))\/((1836\/(-1071))\/(10\/(-217))).\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 9*l**3 + 11*l**3 - 31*l**3 + 25*l + 9*l**3 to p + m*l + n*l**3 + s*l**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4355 (base 8) to base 7\nAnswer: -6443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 22, 2 in ascending order.\nAnswer: -1, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (47 - (-53 - -50))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 168 = 2*x + 3*r, 239 = 4*x + r. Let j = 123\/2 - x. Let t = -4.2 + 0.2. What is the biggest value in -2\/23, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -0.2, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 7683?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80, -81, -98, -143, -228, -365?\n\"Answer: -2*p**3 + 4*p**2 + p - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t + 378. Does 26 divide y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -119248, 1, -1, 3 in descending order.\nAnswer: 9, 3, 1, -1, -119248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/(-22) + 2 + 6118\/253 and 280.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1 - 2 + 2. Let q(f) = f + 6. Let w(p) = -p**3 + 5*p**2 + 7*p. Let m be w(6). Let b(k) = m*x(k) - q(k). Let r(h) = 3*h. Calculate b(r(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28645551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4 - 40420*j**3 - 967092*j**2 + 6894324*j - 10887480 = 0. What is j?\nAnswer: -10081, -30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-18) + (-1313)\/(-6). Let q = j - 146. Is 44 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*o**2 - 109*o**2 + 320*o**2 - 110*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4554 (b) -45 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 29*n - 152*n in the form c + w*n and give w.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/7 - 35540*s**2\/7 + 16753508*s\/7 - 1924917324\/7.\nAnswer: -4*(s - 227)**2*(s + 9339)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(171))\/sqrt(9))**2*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4549826.70000058 - -4549827. Let v = 0.97 + -1.27. Let j = n + v. Round j to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:29 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007049 rounded to 6 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)**(6\/19)\/(a**(-6\/7)\/(((a\/a**2*a)\/a)\/a)))\/((a**(-1\/5))**(-8))**(-34) assuming a is positive.\nAnswer: a**(35626\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 20. Let r(h) = h + 10. Let l(i) = -2*q(i) + 5*r(i). Calculate the lowest common multiple of l(4) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 15}. Give prob of sequence tt.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -19*z. Let b(s) = -3*s**2. Give q(b(j)).\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + o - 6*o - o**4 + 17*o**4 + 4*o**4 - 8*o**4 + (2*o - o - 3*o)*(2*o**3 - o**3 + o**3) in the form d*o + k*o**4 + u + w*o**2 + r*o**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n - 2 + 6 - n. Let s(o) = -6*o + 2. Let g be (-24)\/(-40) - ((-204)\/(-15) + -8). Determine g*s(b) + 2*j(b).\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/((-378)\/1764)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14*z**2. Let g(f) = -3*f**2. Let b(c) = 3*c**2. Let h(s) = 6*b(s) + 5*g(s). Calculate h(r(w)).\nAnswer: 588*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 782, 3500, 8062, 14468?\nAnswer: 22718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:03 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7239523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2\/8)\/(4\/24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y**2 - 105*y + 287. Calculate d(7).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 289 + -125. Let v = c + 316. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 15*b + 2635*b**2 - 5174*b**2 + 43 + 2540*b**2. What is f(-14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*x + 93 = 100, 5*x + 30 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -0*z + 5*c + 16, -4*c = -5*z + 26 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 4*x = -81. Suppose -101 = 20*s - 781. What is the remainder when s is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -2*u**5\/55 - 3*u**4\/22 + 4*u**2\/11 - 1124. Factor r(h).\nAnswer: -2*h*(h - 1)*(h + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -2*a**4\/3 - 2*a**3 - 2*a**2 + 253*a. Factor k(v).\nAnswer: -4*(v + 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-16)*13\/(39\/(-6))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6 = 4*t, -f + t = -4. What is the lowest common multiple of f and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, -2, -5, -4, 126 in decreasing order.\nAnswer: 126, 3, -2, -4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -220*p**3 - 382.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2752*l + 375*l**3 + 2738*l - 284*l**3.\nAnswer: 91*l**3 - 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k - 14. Let u be i(-6). Let z(c) = -2*c**2 + 68*c + 33. Let r be z(u). What is the highest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-9))\/(1\/(-21))*364*(-1449)\/307671?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*c - 70*c = 8*k - 56, -5*k = -35 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**6\/120 + 7*k**5\/60 - k**4\/24 + k**3\/6 + 2*k**2. Let r be a(-7). Let i = 15 - r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7470 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3747434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 - 11*x + 23. Let m be l(11). Let d = m + -271. Let o = -22 + d. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (298 - 285 - 2*9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813 + 2347 = -20*s. Let z = 152 + s. Let i(g) be the first derivative of g**3\/3 + 3*g**2 - 6*g + 1. Calculate i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/8)\/(v**(-5\/4)\/v))\/((v*v*v\/(v*v*v**(-4\/5)\/v*v))\/(v\/v**(2\/7))))\/((v\/(v\/(v*v**0)*v))**(8\/3))**(2\/29) assuming v is positive.\nAnswer: v**(221\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6330891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - c - 1. Let q(b) = -12*b**3 + 192*b**2 + 140*b - 80. Let g(i) = 8*f(i) - q(i). Let g(h) = 0. Calculate h.\nAnswer: -1, 1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + (-1 - (-1 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99006?\nAnswer: 2, 3, 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r**3 - 7*r**2 - r - 5. Let x(q) = -17*q**3 - 11*q**2 - 2*q - 8. Let b be (10\/8)\/((-2)\/(-8)). Calculate b*x(v) - 8*w(v).\nAnswer: 3*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9018274 and 1022?\nAnswer: 63127918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -10 + -1 - -4 - -25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1720 from -0.1.\nAnswer: -1720.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 2*w)*(1347 - 680 - 587).\nAnswer: 80*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 - 123. Let r(o) = 3*o + 7. Let a be r(t). Is 2 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144100 divided by 5764.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*v - 0*g + 4*g, 7*v = -9*g + 60 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 8 = 8*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2701297 to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6589 - 6587. Which is the second smallest value? (a) o (b) -20 (c) -2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*f = 26, -3*f = 4*s - 38 + 18. Put 4, s, -19 in decreasing order.\nAnswer: 4, s, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -23*a. Let v(d) = 3*d**2 - d - 267. What is c(v(p))?\nAnswer: -69*p**2 + 23*p + 6141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -76. Let w = 27 - k. Let b = w - -25. Solve -b = h - 5*j - 27, -h - 23 = 4*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -1651, -3701, -6561, -10225, -14687, -19941, -25981?\nAnswer: -32801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 127 = -21*p. Sort 40, p, 0, 6 in descending order.\nAnswer: 40, 6, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l = 15. Let b = 36 + -24. Find the first derivative of -l*w**3 + b*w - 12*w + 1 wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1714937916288 + -2.\nAnswer: 1714937916286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x - 2151 = -63*x + 2*j, 4*x - 3*j = 1732. What is the remainder when x is divided by 148?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.19 - 20. Round b to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 55 - 235. Find the common denominator of 4 - 9*2\/x and -57\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/(-12))\/(-3))\/(8\/(1216\/95))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -15. Let t = -29 + h. Solve 2*a + 12 = -2*g, -3*a - 16 = g - t*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z + 7. Let w be f(-6). Let o = w + -1198. Let v = -812 - o. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5. Let t = -1.6 - -2. What is the nearest to o in 2, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 253, 251, 249, 247?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:46 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14100 - -7410. Let q = j - -354582\/53. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -45.2, 0.1, -2049, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 154138 + 4?\nAnswer: 154142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -147\/2*v**4 + 2 + 21*v + 259\/4*v**3 + 143\/2*v**2 - 343\/4*v**5 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112806 divided by -4?\nAnswer: -56403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 + 473*r - 633. Give n(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0 - 1\/24*j**4 + 0*j + 0*j**3 + 1\/60*j**5 - 9*j**2. What is the lowest common multiple of s(-1) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 divided by -9?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3425*q**2. Let u(a) = 205*a**2 + 429*a**2 - 631*a**2. What is u(c(f))?\nAnswer: 35191875*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 1558?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 451042579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.3 (c) -5\/11 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-4)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 3329?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -43, -95, -167, -259, -371?\n\"Answer: -10*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 195*b - 2193. Give w(11).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 + 22*j**2 + 268*j\/3 - 112 = 0. Calculate j.\nAnswer: -28, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -489 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {n: 1, c: 1, l: 2, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 c when four letters picked without replacement from tmiititmmci.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164*26\/(-8)*(64\/52)\/(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or 87125?\nAnswer: 87125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 12735731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*d = -301919, d = -5*f + 287829 + 89575. Suppose 4*j + 212519 = -f. Round j to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9168.235 centuries in millennia?\nAnswer: 916.8235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 11*g**2 - 4002*g + 4. Let h be o(-58). Solve 106*l - 4*a = 109*l - 5, -h*a = 2*l - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-2 - 0)\/1. Let x(j) = -j**2 - 4*j + 6. Let n be x(-5). Let m be (4\/(-108)*-3)\/(4\/(-12)). Which is the nearest to n? (a) m (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = a + 12998 - 13000, -2*a = 5*r + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14309, -13878, -13447, -13016?\n\"Answer: 431*h - 14740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7070000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**3\/6 - 5*y**2 + 3*y - 8. Calculate x(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20628*u - 20630*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 6*c**2 - 9*c - 2. Let a be -8*2\/(-14)*(-42)\/12. Let b be d(a). Suppose -7*o + 720 = -b*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 14*f + 9. What is the remainder when 112 is divided by c(7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -30166 and -110688015.\nAnswer: -110718181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 871560 minus 67327120?\nAnswer: -66455560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:56 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -149 - 2*m**2 + 78 + 71. Let x(n) = n**3 - 4. Let q(h) = -h**3 + 1. Let k(d) = 2*q(d) + x(d). Let u(g) be the first derivative of k(g). Give u(s(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8077177*b*i - 685951414*i wrt b?\nAnswer: 8077177*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 19 + 13*h - 9*h to v*h + b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30941 times 1.029\nAnswer: -31838.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/6 + 15*f**2\/2 + 3*f + 3. Let s(k) be the first derivative of p(k). Let b be s(-12). Solve 0 = -b*q + 2*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956229069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3 = 15 + 16 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 107 = 7. Let t(b) = -b. Let n be t(-3). Suppose m = x + n*x. Solve x*q + 5 = 2*g, -2*g = -2*q + 6*q + 22 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13776b4 (base 13) to base 5.\nAnswer: 3034012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -68*d**2 + 3810*d + 40. Calculate f(56).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(78) + (sqrt(78)*1 - sqrt(78)))\/sqrt(6) + -3).\nAnswer: -2*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33799988 = 4*y - 4*n, -27*y + 24*y = -4*n - 25349988. What is y rounded to the nearest 100000?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*s = -52, -302 = -3*g - 2*g + s. Factor -2*m**3 + g + 118*m - 53*m - 2*m**3 - 157*m + 36*m**2.\nAnswer: -4*(m - 5)*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 483 - 213. Suppose 5*o - 3*a + 8*a = q, 0 = -4*o + 3*a + 209. Let h = o - 50. Let y(u) = -u**2 + 3*u - 1. What is y(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + 0*m**2 - m**2 - 149560*m + 149562*m + 51 as g*m**2 + c + u*m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -44, -115, -216, -347, -508, -699?\n\"Answer: -15*q**2 + 4*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-64)\/(-28))\/4)\/(2088\/(-4060))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1526)\/52 + (-4)\/26. Let f = -29 - l. Let b = 0.04884 - 34.04884. Put b, -1\/5, f in decreasing order.\nAnswer: f, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-2)\/4*3. Which is the nearest to 0.1? (a) f (b) -2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 26*k - 35. Let y be x(10). Let l = 4 + -6. Sort l, 9, y in decreasing order.\nAnswer: 9, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -2 + (-23 - -25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 294 - 3017. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 6157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1060, 1062, 1064, 1066, 1068?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y + 9. Suppose -y*m + 2 = -2*m. Let t(u) = 2*u**m - u**2 + 5 + 5*u + 0*u**2. Calculate t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 39 = -4*k + y, 0 = -4*y - 12. Suppose -k*z + 8*z + 188 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124 + (57 + -6 - 61)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) -1.2 (c) -1\/29 (d) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.03 - 5.1. What is r rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021050941 rounded to 7 dps?\nAnswer: 0.0002105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = l, -n - 5*l = -7*l + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.58631 rounded to 2 dps?\nAnswer: -18.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54412.\nAnswer: 2, 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5281 (b) -64 (c) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136404.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 56. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137 by -6.\nAnswer: -137\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5154, -19953, -44612, -79131?\n\"Answer: -4930*w**2 - 9*w - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -38 (b) -7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23300 + 5564?\nAnswer: 32164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from {y: 15, e: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000279813842 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 130348 = -4*p + 53*h, -3*p + 97761 = -4*h. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 99.67?\nAnswer: -97.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 16. Let k = 3 + -6. Sort i, 0.3, k in descending order.\nAnswer: i, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/(-6) + 2)*-2. Suppose 4*q - 6 = f*g, -4*q - 8*g + 20 = -4*g. Let p be (-1)\/(-4) - q\/6. Is -1 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*o - 39 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6648 and 4432?\nAnswer: 13296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 + 1207?\nAnswer: 122a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*w + 37 = w, 24 = r + 2*w. Let c be (-6558)\/(-21) + r\/(-49). Suppose h = 3*h - c. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) -2 (c) 37 (d) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l**4 + 3*l**3 + 2*l**2 - 3. Let v(t) = -12*t**4 - 4*t**3 - t**2 + 4. Let u(y) = 3*v(y) + 4*x(y). What is the third derivative of u(w) wrt w?\nAnswer: 384*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63701582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66 from 0.08.\nAnswer: 66.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323770897 to the nearest integer?\nAnswer: 17994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1174*y**2 - 2360*y**2 + 1181*y**2. Let q(c) = 6*c**2 - 9*c + c**2 + 9*c. Give -8*b(s) - 5*q(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**2 + 35*p + 10. Let y(q) = 5*q**2 + 17*q + 5. Let u(f) = 4*k(f) - 9*y(f). Let i be u(7). What is the highest common factor of 34 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-1 + 0))\/1. Which is the closest to t? (a) -0.4 (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than or equal to -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + (-119)\/14)\/(1\/2027862). Suppose -6*q - d - 815469 = 0. What is q rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 7. Let g be t(3). Suppose g*k = k. Suppose v + 3 - 7 = k. Is 8\/3 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d5bd (base 16) to base 12.\nAnswer: 59711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 2*q + 128 + 1210*q**2 - 50 - 36 - 44.\nAnswer: 1210*q**2 - 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -105. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 25*r**2 + 26*r - 45. Calculate q(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-9)\/(-6)) + -3. Let y be (2\/(-6))\/(o\/3). Let z = -4.3339 + 41.3339. What is the third biggest value in 2\/9, y, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3 + 4. Let h = -0.56121 + 0.16121. Let v = 0.4 + -0.3. Which is the second biggest value? (a) v (b) 0.2 (c) h (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 - 6 = 0. Let n be (-100)\/(-6) + 2\/(-3). Let x(l) = -1 - n*l - 5 + 14*l. What is x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*f*w**3 + 130*a + 2*f*w**4 - 35*f*w**2 - 2*f - 1423*w**6 wrt w.\nAnswer: -12*a*f + 48*f*w - 170760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let f(s) = -s**2 - 6*s. Let p(y) = -f(y) - 6*w(y). Let n(c) = 2*c. What is n(p(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 21580402*o - 116428437620401.\nAnswer: -(o + 10790201)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 7*i**2 - 3*i - 5. Let h be k(-7). Suppose 4*q = -0*q + h. Let p = 10 + q. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 186. Let j(i) = -46 + 3*i**h + i + 0*i + 42 + 4*i**2. Let d(t) = 6*t**2 + t - 3. Suppose -l + 12 = -4*l. What is l*d(g) + 3*j(g)?\nAnswer: -3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 165*p. Let c(w) = -20*w**2 - 9*w + 9. Let t(n) = 9*n**2 + 4*n - 4. Let y(k) = 4*c(k) + 9*t(k). Determine y(v(z)).\nAnswer: 27225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:54 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121988?\nAnswer: 2, 11, 29, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0681 to three dps.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/((-35)\/(-10)))\/((-14)\/(-4)). Let v = 0.14 - -0.86. Let z = 0.07 + -0.07. What is the second smallest value in v, -0.6, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-403831780)\/(-3190) - (-2)\/(-58) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/84*-2*4\/(-8).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 1. Let z(y) = -y**2 + 19*y - 63. Let u(f) = -2*c(f) - z(f). Let w be u(3). Let a be (0 + 1)*2\/4. Are a and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - i - 23 = -0*i, -3*i = -4*w - 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2114*j**3 + 17*j**2 - 74*j.\nAnswer: -12684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s - 46*s - 21 = u, -5*u - 9 = s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrdddddrddrdd. Give prob of sequence rd.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(80)*-1 - sqrt(80))\/((sqrt(270)\/sqrt(9))\/sqrt(3))*-4.\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165 - 139. Suppose j = -11*w - 128. Let d(k) = -k - 7. Calculate d(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -656339, -656338, -656337, -656336?\nAnswer: -656335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 - 8*m + 25*m - 2*m**2 - m**3 - 4*m**2 to q*m + i*m**2 + v*m**3 + f and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*(-13)\/((-13)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 22266*a**3 + 1071840*a**2 - 17165824*a + 91594752.\nAnswer: -2*(a - 16)**3*(a + 11181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (11 - 9 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 8 + -12)*(6 - (-33)\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2517451 is divided by 167806?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*v + 4 + 2, -3*v + 14 = 4*r. Find the second derivative of 7*x**2 - 17*x**2 + 35*x + 8*x**2 + 11*x**r wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (2 - (3 + 19))*(-115)\/230 and 1950?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 50. Let o be (-3)\/s*208\/24. Let d = o - -84. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*z + 1 - 1 as r + w*z and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = n. Let s be 1*-1*(0 + n). Sort s, -3, 0.\nAnswer: -3, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 4*z + 4. Give j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eesissssseesss. What is prob of picking 1 e and 2 s?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or 13\/276?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2863 is divided by 1457?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43303, -43258, -43215, -43174, -43135?\nAnswer: -43098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 131*v**2 - 214*v + 97. Let f be x(18). Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-72)*(16 + -76)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**3 + 209*n - 255. Calculate g(0).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3753341 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 - 55. Suppose -c = -b + 35. Suppose -c*x = -x - x. Put 4, -4, x, -1 in increasing order.\nAnswer: -4, -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:02 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/311681 and 29\/1870086.\nAnswer: 1870086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17249d3 (base 14) to base 16\nAnswer: adb4fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 403*f**2 + 3546*f.\nAnswer: f*(f - 394)*(f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18842358 is divided by 54774.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -602155 + -7?\nAnswer: -602163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*p**2 - 12*p + 1 wrt p.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59584.51 microseconds to nanoseconds.\nAnswer: 59584510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*s - 30*s + 651*s + 1239*s.\nAnswer: 2672*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -2. Let s = -0.049 - 12.551. Let l = -13.6 - s. Which is the nearest to -7? (a) l (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-2)\/1 - -1. Find the second derivative of 26 - 26 - 3*q - m*q**4 wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.99 - -43.99. Which is the fifth biggest value? (a) 1 (b) 10 (c) -4 (d) s (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4617 and 342.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5572*s**3 - s**2 - 3210*s?\nAnswer: 33432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4290 - -3034. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**4 - 8*s + 8*s + s**4 - 4*s**3 + 4*s**3 + (-5*s**2 + 5*s**2 - s**2)*(-4*s - s**2 + 4*s) as i*s**2 + p + d*s + z*s**3 + f*s**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7857*n**4 - 1398*n**2 - 5*n - 2.\nAnswer: 188568*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8))\/(5*10\/200). Let z be 180\/95 + 0 + u + -1. Which is smaller: z or -0.01?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -126, 0, 8, -6, -1\/5, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 371144*i**2 + 6 - 4 + 0.\nAnswer: -371144*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 - 3.5. Let q = 111 + -74. Let p = q - 36.5. Which is the closest to v? (a) p (b) -2\/3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 4*o - 6. Let v = 555 - 331. Calculate the remainder when u(-4) is divided by 2304\/v + (-2)\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:26 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 30. What is d(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102c (base 14) in base 15?\nAnswer: c59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/73944 and 17\/790?\nAnswer: 369720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9*(-1 - -1). Find the second derivative of -3*b**5 + b + d*b + 0*b**5 wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/7)*j)\/j**(-1))**11)**(-2\/9) assuming j is positive.\nAnswer: j**(-242\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71534389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.61519 + 2.613. Round v to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 7 - 4, 3*i - 5*k = 24. Suppose -i*n - 5*t + 21 = 0, 2*n + 2*t + 0*t - 18 = 0. Calculate the remainder when 18 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1150 - -575741078.\nAnswer: 575739928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/15 + i**5\/20 + i**3\/3 + 31*i**2. Find the third derivative of j(y) wrt y.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 132.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27080, 48000, 68916, 89828?\n\"Answer: -2*l**2 + 20926*l + 6156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*1\/5 + (-6)\/(-1). Suppose 9*a = t*a - 8. Let n be ((-50)\/20)\/(2\/a). Solve n*y + 9 + 16 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-442)*(-1556)\/(-15). Let n = v - 88\/15. Suppose 10\/17*x - n + 104\/17*x**2 = 0. Calculate x.\nAnswer: -1\/4, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/11 - 12570*p**4\/11 + 26283700*p**3\/11 - 18178473460*p**2\/11 - 221655848310*p\/11 - 18495552598 = 0. Calculate p.\nAnswer: -11, -1, 2099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.1, -63, -997\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 - s + s)*(1 + 3 - 7).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-120)\/(-21) - (-14)\/49 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3506, -7072, -10744, -14528, -18430, -22456, -26612, -30904?\nAnswer: -35338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27d62 + -1a8?\nAnswer: -27f0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Suppose 55 = 4*n - 5*b, n - 6*b + 2*b = 0. Let h be (n\/12)\/(44\/(-12) - 5). Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111049 divided by -3?\nAnswer: 111049\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from zzgzgggzzzgggz.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**4\/6 + 19*d**3\/6 - 11*d**2. Calculate m(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 280410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + p - 150, 4*p = 3*b - 5*b + 100. Suppose z = -5*q - 0*z - b, z = 5. Let r = -7 - q. Solve -r*a + 3*g = 8, -3*a + 2*g - 4*g - 23 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/(k*k\/(k\/(k*k\/(k*k\/k**(1\/10))*k))))\/((k*k**(-6))\/(k*(k\/k**7)\/k*k)) assuming k is positive.\nAnswer: k**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11960 + -12062.22. Round m to the nearest integer.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391461.\nAnswer: 3, 7, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.708 in 84, -2\/19, -5, 0.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 4*g + 15. Let f(l) = 244*l - 3 + g - 247*l. Let x(a) = -6*a. What is f(x(m))?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/20 + 20\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829168.4g in nanograms?\nAnswer: 829168400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -3*s**5\/5 - s**4\/12 - 9*s + 18. Let v(k) be the first derivative of m(k). What is the third derivative of v(r) wrt r?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + f**2 + (-3 + 3 - 1)*(-f**2 + 3*f**2 + 0*f**2) - 727*f**2 - 6*f + 409*f**2 + 4*f.\nAnswer: -319*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -281536\/7 + 40300. Let i be (-1 + 50\/(-4))\/((-15)\/90). Let g = d - i. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -604.9 times -0.16\nAnswer: 96.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Let z(x) be the second derivative of 91*x**4\/12 + x**2\/2 + 64*x. Calculate j(z(a)).\nAnswer: -16562*a**4 - 364*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -255312 divided by 3\nAnswer: -85104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, k: 2}. What is prob of sequence kgk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/391064193 and -34\/345.\nAnswer: 1955320965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Suppose 2 = -2*z + 3*z. Let c(v) = -3 + 2 - 1 + z*v. Give c(i) + n(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50786066 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1542*o = 3681*o + 3669*o - 383328 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -346.8 + 347. Which is the nearest to 0.2? (a) -0.1 (b) -4\/19 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 5*s + 4. Let l be n(-5). Suppose -i - 4*h = -16, 0*i + l*h + 16 = i. Let c = -164 + 164. Solve c = -6*f + 2*f + i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o + 23. Give t(-7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -9 + 3 - -14. Suppose 6*f + 204 = 5*i + 3*f, -5*i = -f - 208. Calculate the greatest common divisor of s and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17152 + 17154. Let z = 283 - 597\/2. Let n = z + 65\/4. Sort k, 17, -1\/2, n in ascending order.\nAnswer: -1\/2, n, k, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3300916mm in nanometers?\nAnswer: 330091.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1041, 4171, 9391, 16701, 26101, 37591, 51171?\nAnswer: 66841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 12) to base 7.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178.037 - 1874.058. Let z = -1700 - o. Let k = z - 0.021. Which is the second smallest value? (a) k (b) -5 (c) -0.3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 1860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27586900 divided by 40450\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 - -164. Let s = 3431 - 3550.2. Let i = s - q. Put i, 6, 0.1, 5 in increasing order.\nAnswer: i, 0.1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.135 in -1, 93, 0.131?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6243*c + 240880 - 18061 = -85344 - 509670 for c.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**3 - 53772*z**2 - 107572*z + 161340 = 0 for z.\nAnswer: -3, 1, 13445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/7, 3, 0.0962?\nAnswer: 0.0962","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*sqrt(102)*1)\/(3*sqrt(6)*5).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 375892 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011011 (base 2) to base 7.\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 2*x + 1. Let q(p) = p**2 - 6*p - 10. Suppose 35 = 2*m + 3*m. Let s be q(m). Let z be j(s). What is the highest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21004*b + 15562 with respect to b.\nAnswer: 21004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4818285 divided by 963657.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/5*(0 + 5). Let o = s - 2. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/13 + 7\/78. Let t = -0.3 + 0.1. Let g = 0.3 + t. Which is the nearest to 1\/2? (a) g (b) -6\/11 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -229654 + 2117599. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -10. Is 2\/x + 102\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 - -96. Is -42 + 46 + q*(0 + -54) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2299\/952 and -29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15377, 30833, 46395, 62117, 78053, 94257?\n\"Answer: 9*j**3 - j**2 + 15396*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -1 + 1 - -13. Let a(f) = -f**3 - 6*f**2 - 8*f - 4. Let b be a(-5). Suppose 5*p - 5*n = s, 3*p - b = 4*n - 3*n. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 4\/9, 27, -6, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76, 160, 244, 328, 412, 496?\n\"Answer: 84*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. What is the units digit of (n - 3\/3) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-465)*(8\/12)\/((-6)\/(-315))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wavwmba. What is prob of picking 1 m and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-36))\/(7\/(-14))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 28744\/26773?\nAnswer: 28744\/26773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -56*t**4 + 2*t**3\/3 - 3*t - 193. What is the third derivative of f(p) wrt p?\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47253.4 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*-8*(-4)\/(-9))\/(1372\/(-882)).\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + c + 5*c + 6)*(22 + 21 - 41)*(4 - 3 + 1) to b*c + h and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 10*a = 182*a. Solve -3*q - q - 5*n + 3 = a, 3*n = -3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2477847, -0.2 in descending order.\nAnswer: -0.2, -5, -2477847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) 1 (b) 2 (c) 181 (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110432 (base 5) in base 7?\nAnswer: -14163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 + 2)*(-9 + 9 - 10*r + 2*r - 3*r + 2*r + (-2 - 1 + 2)*(2 - r - 2) - 2*r - 4*r + 5*r).\nAnswer: -108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 4*w**3\/15 + 82*w**2\/5 - 168*w\/5 + 813. Determine s, given that k(s) = 0.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -192, -385, -578, -771, -964?\n\"Answer: -193*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.6451 - 0.0549. Which is greater: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-7)*(-1)\/2. Let v = 9 - p. Calculate the greatest common divisor of 40 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 = -z, 0 = -4*z + 3*s - 25 - 10. Sort 4, -1, z in descending order.\nAnswer: 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*v**6 + 1492*v**4 - 22908*v**2 wrt v.\nAnswer: 1800*v**3 + 35808*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2233.277cm to millimeters.\nAnswer: 22332.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120878*n + 7132749.\nAnswer: -120878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6522704072?\nAnswer: 2, 103, 7915903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1107\/10, -4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/2, 10\/3 in descending order.\nAnswer: 10\/3, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*q + 9. Which is the third smallest value? (a) -0.1 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60 - -3?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 3153768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1608 + 1698. Solve -u = -7*m - 23*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2923 - 1440. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31575*s + 31567*s - 63144*s - 342.\nAnswer: -2*s - 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - (-21)\/(-9) - (-420)\/(-306) and (6 - 4)*2\/40.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 194*o - 10165 - 7489. Solve 0 = 262*p - 249*p - o for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -770796 smaller than -770798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1918385, -7674307, -17267511, -30697997, -47965765, -69070815?\nAnswer: -94013147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nupyb. Give prob of sequence nuby.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*d + 45*d - 40 + 38 + 7*d - d + 4*d + d + 0 + 0 + (2*d - 4*d + 4*d)*(-5 - 1 + 4) to p*d + c and give p.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 + 2*y + 1. Let n = 3 + -4. Let l be c(n). Suppose f - 32 = -x + 3*f, l = 3*x - 4*f - 94. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 15, 13*c - 11*c = -2*x + 736. Put 2\/5, 2\/3, -5\/3, x in descending order.\nAnswer: x, 2\/3, 2\/5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345 divided by -3?\nAnswer: 1345\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + m**2 - 8*m - 63 + 131 - 70. Let p = -27 + 26. Let t be (-164)\/(-28) + p\/(-7). What is s(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + g + 7392, 22*m = 23*m + 5*g + 1829. Is m greater than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*(-36 + (-2035)\/(-74)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 5 + 10*q + 0*q**4 + q**4 + 66452*q**3 - 66453*q**3 as t*q**3 + z*q + a*q**4 + y + f*q**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(3\/4)\/s*s)*(s\/(s\/(s\/(s\/(s**(-5)\/s)))*s*s))\/s)\/((s\/s**(3\/5))\/(s**(-6)*s)) assuming s is positive.\nAnswer: s**(-283\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 412 = 3*c. Suppose -2*v + 34 = a - 21, 5*a = 4*v - c. Let t = v - 4. Calculate the least common multiple of t and 6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 4*f - 25 = 0. Suppose 0 = -2*u - 4*p + 238, -405 = -f*u - 3*p + 218. Is u 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) -7 (b) -3\/7 (c) 1\/10 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5083*u**3 - 17588*u**2 - 7137*u - 360 = 0. What is u?\nAnswer: -3, -120\/299, -1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3 + 276716*v**2 - 4785872396*v + 4785595684 = 0.\nAnswer: 1, 34589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 4893.65\nAnswer: -489.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 15317\nAnswer: 91902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-612)\/(-1020) - 18\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 417.4387 - 9.4612. Let p = h + -408. Round p to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*l + 30, 2*l + 7 = 4*l - 3*r. Suppose l*g = -h + 102, 7*h - 3*h - 72 = -4*g. Let j = 32 - g. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 140. Suppose -29*t = -28*t - a. Does 31 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*g**2 + g**3 - 115*g**2 + 0*g**3 + 224*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 2)**2 + 2.\nAnswer: 16*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 102704, -1743, -3 in decreasing order.\nAnswer: 102704, -3, -1743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-576)\/(-70) + (32\/(-154))\/((-4300)\/11825)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/10, -4, 102?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84820601 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = 4*m - 15, 4*m = -o + 14. Suppose -9 = -4*t - z + 7, 3*t - 12 = o*z. Solve -t*l - 2*j + 3 = -5*j, 3*j - 12 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/406 + -4768\/1015. What is the common denominator of q and 145\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-384)\/(-468) - 4\/26. Is a at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1960 and 770.\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 19 - 9. Let k be ((-5)\/35)\/(r\/(-10)). Is 50 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/12 - p**3\/2 - p**2 - 10. Let o(x) be the second derivative of j(x). Calculate o(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103535, -207065, -310595, -414125, -517655?\nAnswer: -621185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144991 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 + 1. Let j(t) = 21*t. Let n be j(-1). Suppose 0 = 5*r - 13 + 113. Let x = n - r. Give v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llllllelllellel?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11071 (b) 2 (c) 0.1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*c + 13, -c - 5 = 5*u + 4. Let a be -7 + ((-32)\/(-40))\/(u\/(-5)). Put a, 5, 3 in decreasing order.\nAnswer: 5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7873, -7927, -8019, -8155, -8341, -8583, -8887, -9259?\nAnswer: -9705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:17 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 6)\/(3\/(-42)). Suppose -k*n - 16 = -18*n - p, 5*n - 4*p + 1 = 0. Factor 0 + 0*h + 3\/2*h**3 - n*h**2.\nAnswer: 3*h**2*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:18 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and -24354557791502.\nAnswer: -24354557791501.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*n**3*t**2 + 9*n**3*t - 5429*n**3 + n**2*t**2 - n**2*t - 2*n*t**2 - 973060 wrt n.\nAnswer: -672*t**2 + 54*t - 32574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.064624*0.9\nAnswer: -0.0581616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from dmdddddmddddmmdm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (1 - 9) - (-592 - -599)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r**(-13)*r))*r*r*r**(3\/2))\/(r**(-21))**(-2\/97) assuming r is positive.\nAnswer: r**(-1539\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let l(m) = -20*m - 3. Let z(j) = l(j) + 3*o(j). Let r be z(-1). Solve -2*x - 2*x = r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352042 + -251?\nAnswer: -352323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 2, b: 1}. What is prob of sequence nu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1500*k**3 - 4*k**2 - 6*k - 264619 wrt k.\nAnswer: -4500*k**2 - 8*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/((300\/72)\/(-25)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 40 + 73 + -91?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25693.296 and 23.8.\nAnswer: 25717.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18572199 is divided by 559?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ippi when four letters picked without replacement from {i: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -44. Suppose 0 = r + k*r + 12, 3*z = -3*r + 390. Suppose 4*v - z = 19. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 610 and 13430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153 and 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -26 + 18 - (2 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*z**3 + 3480721*z - 14671728 wrt z.\nAnswer: -12*z**2 + 3480721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80541313 to the power of 1\/2, to the nearest integer?\nAnswer: 8974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2836*w - 34040. Determine l(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706693273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2 + 9*y + 13. Let f(s) = -3*s**2 - 4*s - 6. Let k be (-3)\/((3\/9)\/(-1)). Suppose 2*b = -2*z + 16, 2*b + 0*b - 4*z = -8. What is b*i(a) + k*f(a)?\nAnswer: -3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 565317 and 621?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7163 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-25) + ((-23274069)\/175)\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0*c**3 - 3*c + 0 + 2*c**2 - 450001\/20*c**5 - 1\/4*c**4. Let o be n(-2). Round o to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 4*m. Let j be p(-3). Let d(f) = f - 2. What is the lowest common multiple of d(j) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*q)*(2 + 1 + 0) - 4069 + 1501*q + 4069 to b + n*q and give n.\nAnswer: 1495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351 is divided by 124.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 8. Let x = 3.5 - 0.8. Let m = x - 3. What is the closest to u in m, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 4 - 16 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csxscwsqlqxcwx. Give prob of picking 1 c, 2 w, and 1 q.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*k + 2, 17 = -3*k - 0*k - 4*u. Let f = -6.8 - -6. Let x = f + 4.8. Which is the third biggest value? (a) x (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 2*m - 2. Let y be i(-2). Let n be y\/21 - (-356)\/(-28). Is 13 a factor of (-20)\/130 + (-509)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68516 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-64)*(-40 - -39)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*l + 28 = -3*a, a - 4*l - 23 = 0. Factor -3*z**3 - 17*z**3 - 51*z + 4*z**4 - 12*z**a - 45*z + 88*z**2 + 36.\nAnswer: 4*(z - 3)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.13 and 0.875.\nAnswer: 0.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -6. Let u = 53 + -49. Which is the nearest to 0.2? (a) d (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 332 - 92. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) -4\/3 (c) -1\/7 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1905*q**2 - 44537*q + 44537*q + 338*q**2.\nAnswer: -1567*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376242253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1010 - 1007. Solve x - 3*y = 5 - 4, 2*y = h*x - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Let w = a - 1. Is -359*(-1 - w)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 3, f: 1, z: 1, r: 1}. What is prob of sequence azh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**2 - r + 2. Calculate m(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c. Let k(z) = z - 9. Let q(n) = 11 - n + 0 - 1 - 6. Suppose 20 - 2 = 2*h. Let d(r) = h*q(r) + 4*k(r). Calculate x(d(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084821743 rounded to 6 decimal places?\nAnswer: 0.000848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*l - 1 = -3*l, 2*l - 5 = -3*k. Let r = -18 + 3. Let t be (-5)\/2*12\/r. Put -3, k, t in descending order.\nAnswer: k, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 3562?\nAnswer: -3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10948986*-3.\nAnswer: -32846958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-5))\/((-336)\/(-8877680)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115484, 230790, 346084, 461360, 576612, 691834?\nAnswer: 807020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -41318.\nAnswer: -14\/20659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -84?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*u = -50367, -42*u + 44*u - 50409 = -5*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(((-15)\/57)\/(45\/(-18))). Is l smaller than -367\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 18 = 3*t, -h + t = -2*h - 4. Suppose k - h = 5. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 34*s**2 - 91*s + 10. Let r(z) = 34*z**2 - 114*z + 19. Let b(l) = -5*m(l) + 4*r(l). Let q(i) = -2*i. Give b(q(c)).\nAnswer: -136*c**2 + 2*c + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 312787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(44)\/(sqrt(11)*-2)) + -2 + sqrt(2)*2 + sqrt(2) + sqrt(4)\/sqrt(2)*-6 + 2.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3540859186 to the nearest integer?\nAnswer: 59505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1630856.4 hours to days.\nAnswer: 67952.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 674074 and 606.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12282975 a multiple of 1400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1212 and 684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9779 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/900 - y**5\/100 - y**4\/30 + y**3\/6 + 6*y**2. Let w(k) be the first derivative of u(k). Factor w(q).\nAnswer: -2*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/7*(-6)\/((-60)\/(-35)). Suppose -2 = -3*h - 8, 0 = -2*s - c*h + 136. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**3 + 8*u**3 - 9*u**3 + (-u + 0 + 1 + 0)*(-3*u**2 + 2*u**2 + 7*u**2) to m*u**3 + r*u + p*u**2 + q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:08 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -21*r - 14*r**2 + 4*r**2 + 4*r**2 + r**2 - 10 + 4*r**2. Calculate v(-19).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from mmgrmmgmmmmmgggmmgm?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**14)**9 assuming a is positive.\nAnswer: a**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than -13.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:21 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:16 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:14 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13887*t**3 - t**2 + 4*t**2 - 3*t**2 + 4589*t**3.\nAnswer: 18476*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*224021.\nAnswer: 896084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255861.\nAnswer: 41, 55021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s. Let n(x) = 10*x - 1. Let y be 8 - -6*(-9)\/54. Calculate y*v(z) + 2*n(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(567\/(-66)))\/((-1)\/7).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0071 + 5.0071. Which is the closest to 0.18? (a) y (b) -3 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 = -80\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7618817, 7618812, 7618807, 7618802, 7618797, 7618792?\nAnswer: 7618787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 24*t - 627. Determine r(14).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6*f - 208 = 2*f, 132 = 2*d - 4*f. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -33156*b. Let t(p) = -4*p. Determine t(z(k)).\nAnswer: 132624*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -3. What is the third biggest value in 0.1, r, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(605) + 1.\nAnswer: -22*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280976 is divided by 2066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 5*w + 2. Let x be p(3). Suppose m - x*z = 46, -3*m + z + 98 = -4*z. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-2)\/(-5) + (-28)\/40). Suppose 2*r - 729 = 3*s, -l*s + 5*s + 371 = r. Calculate the remainder when r is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5355433729.\nAnswer: 97, 1879, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -765, -2620, -6235, -12198, -21097, -33520, -50055?\nAnswer: -71290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 9*y**2\/2 + 2*y - 12. Determine g(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12307*z + 526. Is b(1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110110011111 (base 2) to base 3\nAnswer: 121000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -200*t**5 + 720*t**4 + 4182*t**3 + 4046*t**2 = 0.\nAnswer: -17\/10, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lklllllklk. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k - k)*(-3*k + k + k) + (11 - 11 + 15*k)*(7*k - k - 2*k).\nAnswer: 61*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-4 - (-7 - -11)) + 7\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) + (-328)\/(-18). Suppose 5*n - 3*i - b = 0, -i = -2 + 3. Let z be n - 1\/1 - 1. Solve -2*g + 3*f - 21 = 0, -9 - z = -5*g - 5*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/44*(-4)\/24*-2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b + 2. What is u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k - 25. Let i be q(-3). Suppose 0 = -5*y + y + 984. Suppose -i*p = -3*p - y. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -15*s**3 + 290*s**2 + 1285*s - 460 = 0?\nAnswer: -4, 1\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**3*n**3*x + 3817121*k**3*n**3 + 16021*k**2*n + 185*n**3 - 4*x wrt k.\nAnswer: -48*n**3*x + 22902726*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1976, -3921, -5874, -7841, -9828, -11841, -13886?\nAnswer: -15969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1573018, 5, -9 in increasing order.\nAnswer: -1573018, -9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112919*c**2 + 56460*c**2 + 56460*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((506\/(-69))\/22)\/(1*3 + (-180)\/27)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*1\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:52 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:43 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)\/(2 + -3). Suppose 0 = -6*b + 2*b + 2*h, d*b = -h. Is -6*-3*(b - -1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 1, u: 7}. Give prob of sequence tuwt.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15)*-1)\/(49\/(-35)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 5 + sqrt(9)\/sqrt(3))*-1 + (-4*sqrt(192)*1 - sqrt(192))**2.\nAnswer: -2*sqrt(3) + 4795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*p = p + 5332, 2*o + 5*p = 10661. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -5.\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 197 = -51. Calculate the remainder when 73 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95200605?\nAnswer: 3, 5, 199, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.68 - 0.68. Put a, -0.3, 5 in increasing order.\nAnswer: -0.3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493860 (base 12) to base 13.\nAnswer: 327b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.47 and -176.\nAnswer: -82.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2. Let v(u) = 6516755*u. What is k(v(l))?\nAnswer: -254808574380150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eai when three letters picked without replacement from uwffawieu.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*s + 1772874, -5*s - 443232 = 1166*y - 1167*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.128 + -0.028. Let r = j - 5. Is -0.1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4573991.4 - 17.6049\nAnswer: 4573973.7951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*i - 16 = -7*i, -3*i = 2*y - 23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23617273003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**2 - 36*j + 30. Let k(f) = -3*f**2 + 12*f - 10. Let y(n) = 5*d(n) + 14*k(n). What is the remainder when 28 is divided by y(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64 + 148 + 78*k**2 - 105*k + 3*k**3 - 60*k.\nAnswer: 3*(k - 1)**2*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/5, 18, 52\/5761?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241 - 12?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50743661\/1907699 - 145\/39334. Let v = -10\/97 - i. What is the common denominator of v and -133\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4332*h**2 - 13002*h**2 + 4337*h**2 + 4334*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798 = -6*k - 66. Calculate the remainder when k is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g + 17. Give j(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**3 + 2*p**3 + 2*p**3)*(-p**2 + 2*p**2 + 0*p**2) + 3*p**5 + 0*p**5 - 2*p**5.\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 195315, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/4 - 2*c**3\/3 + 5*c**2\/2 + c + 2. Is l(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 0*u - 90. Let z(p) = -6 - u + 15 - 10*p**2. Let f(a) = 2*a. Give z(f(g)).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**2 + 11*y + 1. Let j(p) = -11*p**2 + 23*p + 1. What is -7*g(w) + 4*j(w)?\nAnswer: -2*w**2 + 15*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x = -4. Solve -4 = b - x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 14*l - 5*j = -12, 3*j - 11 = 5*l. Find the common denominator of l\/(10\/(-90))*(-2)\/(-16) and 95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-287*48\/(-3936))\/(9\/(-3)*1\/6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -439\/1106 + -5\/158. What is the third biggest value in r, -1, -4, 2\/37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, -11423, -4.\nAnswer: -11423, -4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*q - 12228, -5*r - 1547 = -4*q + 22904. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/19*p**3 - 6\/19*p**2 - 6\/19*p - 2\/19.\nAnswer: -2*(p + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128.65345 - 17?\nAnswer: -1145.65345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 20 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(2736)*-4 + sqrt(2736) - sqrt(2736))**2 + 3 + ((sqrt(19) + 3 + -5)*-5 + 5)**2.\nAnswer: -150*sqrt(19) + 1576639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4 and 71\/330220?\nAnswer: 330220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 292760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = h - 2*b, 0 = h + 4*b + 2. Find the third derivative of -744*u + h*u**2 - 10*u**5 + 744*u wrt u.\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -18.4?\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s + 3. Suppose v = -4*v - 4*y + 11, 0 = -s*v - 3*y + 9. Is v + 391 + 4\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 5 = -z, -50*y = -52*y + 3*z - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**3 + 3 + 4*m**2 - 5*m**3 + 2*m**3)*(3 - 2 + 2)*(4*m - 5*m + 2*m) in the form j*m**2 + o + l*m**3 + t*m + v*m**4 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 255820991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -450034 (base 7) in base 15?\nAnswer: -1873d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209271 is divided by 64?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -1003?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 12:52 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 2, h: 1, z: 6}. What is prob of picking 1 h and 2 c?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35894711 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 7:43 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 11:57 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24959210 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 993, 1013, 1049, 1101, 1169?\n\"Answer: 8*b**2 - 4*b + 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-11380.\nAnswer: 22760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/8 (b) -1\/25 (c) -51\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let u be (0 - 5)*-1 - k. What is the remainder when 2 is divided by (-2)\/u + (-5)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -17*m**3 + 17*m**2 - 9*m + 113. Let y(h) = -8*h**3 + 8*h**2 - 4*h + 56. Calculate 4*q(d) - 9*y(d).\nAnswer: 4*d**3 - 4*d**2 - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-35))\/(3\/3*2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*w**4 + 3486*w**3 + 23439*w**2 + 32868*w + 13068 = 0. Calculate w.\nAnswer: -11, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:05 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqyyqyyqyqqyqyyqqqyy. What is prob of picking 2 y?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/22 - (4798\/(-110) + -9). Let k = y + -2909\/55. Sort k, -48, -2\/13 in increasing order.\nAnswer: -48, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 1. Let i be y(-3). Let p = 157 + -155. Let k = -41.16 + 41. Which is the second smallest value? (a) p (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 595.00682+197\nAnswer: 792.00682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywy when three letters picked without replacement from {w: 3, y: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 23. Calculate the remainder when j(13) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594889 is divided by 198294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 104 = -x + 4*x, -93*j - 246 - 1810 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8931.8 - 8932. What is the nearest to -24 in 0, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, p: 11}. Give prob of picking 2 p and 1 v.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5485673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2412 and 121\/1608?\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(21\/52) - (-7500)\/17500?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 593649 and 398209?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -12*u - 1\/36*u**4 - 5\/3*u**2 + 11\/18*u**3 + 5. Factor z(j).\nAnswer: -(j - 10)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -x + 4*x + 3*p, 17 = 5*x - 3*p. Calculate the smallest common multiple of ((-21)\/x)\/((-54)\/216) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56950*o - 16776*o**2 + 56950*o.\nAnswer: -16776*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39480507*b**3 + 55*b - 55*b + 39480495*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9940 and 3555680.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 53 + 13 = 0. What is the third derivative of -s**2 - 8*s - 7*s - 4*s**3 + 0*s**4 - 5*s**4 - o*s + 4*s**4 wrt s?\nAnswer: -24*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/10))**(-14)\/(s**19\/(s\/(s**(6\/25)*s)*s)) assuming s is positive.\nAnswer: s**(-841\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161693.\nAnswer: 7, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4638 - -1.1\nAnswer: -4636.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/3)\/((-238)\/(-357)))\/((-21)\/(-2373))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*(2*a + 2*a - 2 - 2*a).\nAnswer: -10*a + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 12*v + 15. Let b be a(-11). Suppose -b*h = -h - 27. Suppose -h - 21 = -3*s. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177 is divided by 103?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -403 + 106. Let k = m + 283. Sort 1, k, 2\/3, 0.3 in decreasing order.\nAnswer: 1, 2\/3, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -3)\/(61\/(-305)). Which is the closest to -1? (a) -106 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/(p\/(p**5\/p))*p))\/p*p)**(1\/19))**(-9\/10) assuming p is positive.\nAnswer: p**(9\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/m**10)))\/(m**(-2\/13)*m)*m**(-15)\/m*m\/m**7)**(-19) assuming m is positive.\nAnswer: m**(7619\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*z - 1950. What is the highest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6)**(-41) assuming f is positive.\nAnswer: f**(-246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 16261 + 16261.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3. Let q be -3*(-21)\/(-63)*3\/(-5). Which is the closest to x? (a) 1\/5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7 = 2*q - 0, -3*q + 17 = -x. What is the second smallest value in q, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:48 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 9*j**2 - j - 4. Let n be z(-9). Suppose 2 = n*q - 3. Let a(d) = -5 + 1 + 0 + q - 2*d. What is a(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48050521?\nAnswer: 3257, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (-57)\/((-33)\/110 - 51\/(-220))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44359, 45312, 46265, 47218, 48171?\nAnswer: 49124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/7)\/i)\/i**(3\/4)*(i**(2\/5))**(-30))**(-2\/5))**(3\/17) assuming i is positive.\nAnswer: i**(1191\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-198))\/(18\/(-81)). Let a(u) be the first derivative of -1\/22*u**4 + 1 + 2\/33*u**3 + q*u**2 + 0*u. Determine s, given that a(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2252 = -s - 3*s - 4*u, -5*s - 2*u = -2815. Let v = s + -331. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-3 - -3 - -2). Suppose -3*s = k*w - 10, -3*w - s = -w - 6. Suppose 8 + 13 = 4*i + 3*x, i - 5*x = -12. Solve w*c - 5 = -i*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Suppose -4*q = -h + 10 + 8, 2*q + 10 = o. What is the remainder when (-104)\/h*15\/20 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7)\/(n\/(n**(-11)*n*n*n)))\/(n**(-7\/3)*n\/(n*n*n**(3\/5))) assuming n is positive.\nAnswer: n**(-547\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + -6. Let i = 31.3 + b. Let s = 478.4 + -478. What is the nearest to -6 in s, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 3338583995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -68903 (base 11) in base 6?\nAnswer: -2045014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -4\/9, -4\/17, 1\/4, 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*u + 8 = -44*u + 4*j, 0 = -u - 5*j + 21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k + 25. What is the remainder when y(-5) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 43*k - 42. Is 11 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63\/(-2) + 55\/110. Let m(w) = 2*w + 97. What is the units digit of m(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**4\/4 + u**3\/2 + u**2 + 105*u. Calculate r(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2702*g - 2464*g = 3204*g + 133920 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*p - 185 + 185)*(70 - p - 41 - 41) as t*p + x*p**2 + b and give t.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*i - 20 = -78, 4*i = 2*g + 40. Let p = -37 + 23. Let b = p - g. What is the highest common factor of 3 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -604741 plus -47808694.9?\nAnswer: -48413435.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/13)*z**24)\/(z\/z**18)**(-26) assuming z is positive.\nAnswer: z**(-5428\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 10) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -843 + 860. Is x at most 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90208753963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 6*n**3 + 4011*n**2 + 35*n + 1590 wrt n.\nAnswer: -12*n**2 + 36*n + 8022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10868037 at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*m - 4 - m + 3*m - m + (2 - 5 - 9)*(-6*m + m - 4*m) + (6 - 3 - 4)*(-3*m + 6*m - 2*m).\nAnswer: 106*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 9:49 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 0.4 (c) -0.5 (d) -0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793103*n - 4414194*n - 375851*n - 3656363*n.\nAnswer: -9239511*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(0 - (-6)\/2). Let h = 56 - 104. Let s be (-52)\/h - 1\/y. Which is the second smallest value? (a) -1\/6 (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1290 = 143*b - 138*b. Find the common denominator of b\/(-264) - 2\/(-8) and 143\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 230*z**2 + 38410*z - 1. Calculate p(-167).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690970 and 4795?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/120 - d**5\/12 - d**4\/12 + 7*d**3\/6 - d**2. Is n(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065273085 to six decimal places.\nAnswer: 0.000653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Suppose -r*n + 1147 = -2*l - 2*l, -2*l - 687 = -3*n. Suppose -u = 2*p - n, -4*u + 43 = 5*p - 526. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14987 + 15290. Which is smaller: i or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**10\/p*p**9)\/(p**(-4\/7)*p**4))**(-2\/11) assuming p is positive.\nAnswer: p**(-204\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -80 (c) -1\/2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 0.022 (c) 0.04 (d) 2\/7 (e) 1\/2 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 9*u**6\/40 + 17*u**3\/6 + 21*u**2. Differentiate m(o) wrt o.\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012 + -20?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 5*d**3 - 1 + 2*d**3 + d**3 to t*d**2 + i + o*d**3 + y*d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232100003 (base 4) in base 11?\nAnswer: 448267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3219*t + 193 = 2*j + 3224*t, 2*j - 185 = 3*t. Which is the closest to -1\/3? (a) -1\/5 (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*g**4 - 42*g**2 - 9*g - 102312.\nAnswer: 52*g**3 - 84*g - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122566 is divided by 23699.\nAnswer: 4071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*t - 235001 + 41573. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - ((13 - 5) + 9)) + 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + -6.87. Let h = 6 + q. Let v be 27\/5 - 6\/15. Which is the second biggest value? (a) 0 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 25 = 1, 5*g - 5*x = 65 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 29*s**2 - 26*s + 94. Give f(-28).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-36)*35\/(-40). Which is greater: u or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8104*g**2 - 632*g + 13.\nAnswer: -16208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -6\/113, -1\/7, -1\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/70*(-2)\/(-8). Let y = -1\/14 + p. Let o be (-2)\/(-11) - (-128)\/22. Which is the nearest to -0.1? (a) o (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 10. Calculate a(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4064*s**4 + 7352*s**2 - 74036754?\nAnswer: -16256*s**3 + 14704*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-9)\/24). Suppose 5*o - 55 = -l*x - 14, 3*o - 11 = x. Let j = 0 + o. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 9) in base 3?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -106*l + 46*l - 40 + 48*l. Does 25 divide y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260701 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**6\/15 - w**3\/3 - 4*w. Find the second derivative of a(z) wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -30. Suppose 8*c + z = -12. List the prime factors of (-3 - c)\/((-7)\/490).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51525*i**4 - 9*i**3*x**2 + 69*i**2 + 464*i*x**2 - 5*x**2 - 160*x - 16 wrt i.\nAnswer: -618300*i**2 - 54*i*x**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1389103 and 997215?\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 709, 699, 675, 631, 561, 459, 319?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2506 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 37*y**2\/3 - 93*y - 81.\nAnswer: -(y + 1)*(y + 9)*(y + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -0.5 (c) 2\/9 (d) 881 (e) 6 (f) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let l(i) = 37962*i**2. Determine x(l(b)).\nAnswer: 37962*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -219.54 + 222. Let j = -0.54 - w. Is j greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 354\/5. What is the closest to c in 2\/21, -3\/4, 0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4546, -0.3, 29\/12?\nAnswer: 29\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:07 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 5, -5011, 2.\nAnswer: -5011, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1305 = 5*o - r, 270 = 2*o - 5*r - 275. Suppose -17*j + 18 = -16. Suppose j*d + 2*d = o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 1. Let p(x) = -7*x - 7. Does 8 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8457 - 9562.1. Round k to the nearest ten.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443935, -1775588, -3994951, -7102012, -11096759?\nAnswer: -15979180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*z + 50, 2*z - 11*m - 26 = -15*m. What is the least common multiple of 6 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 38 - 0. Let m = -25 + w. Let v(s) = 6*s**3 - 17*s**2 + 17. Let t(y) be the first derivative of y**4\/4 - y**3 + 3*y - 1. What is m*v(n) + 34*t(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0013 (b) 11\/6 (c) 2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1163 = 8*f - 141. Let d = f - -102. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*y + 78*y + 2808 = 164*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 26*z + 30. Let p be n(27). Suppose 0*m + b - 630 = -4*m, -p*b = 3*m - 477. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 15*l + 13 + 12*l)*(-5 + 3 + 1).\nAnswer: l - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -4)\/1 - -7. Suppose 5*d + 2*o = -10 + 28, -3*d - 14 = -s*o. Suppose -d*t + 3*a + 8 = 7*a, 0 = 3*a + 15. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2589 + 2121 = -13*p. What is the remainder when 426 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5340, 21361, 48056, 85419, 133444, 192125?\n\"Answer: -b**3 + 5343*b**2 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1249, -2501, -3753, -5005?\nAnswer: -6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:24 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31111011 (base 5) to base 8.\nAnswer: -757671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*f = 6333, 18*l + f = 14*l + 25323. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z. Suppose 2*c + 5*s - 19 = 0, -c + 5*c + 5*s - 23 = z. What is the least common multiple of c\/(((-1)\/1)\/(-2)) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292 or 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13976 - 0.13976. Which is the nearest to 0.1? (a) -7 (b) y (c) -4\/3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)\/v*v)\/(v\/v**(2\/11)))\/((v*v**(-15)*v*v)\/(v\/(v\/(v*v*v\/(v\/(v**(-8\/3)*v)))))) assuming v is positive.\nAnswer: v**(215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - a + 14 = a, 2*u + 4*a = 22. Calculate the least common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 12*j**2 - 8*j - 5. Suppose -6*f + 55 = -f. List the prime factors of c(f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/((-1)\/(9946\/(-29832)) + 90\/(-30)) and 22?\nAnswer: 109406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 138 = 37*a. Suppose 1677 = 2*j + 5*d, -a*d - 1675 = -2*j - 9*d. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2141098*c*i + 10641445*i wrt c.\nAnswer: -2141098*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 290970*r**2 + 6689775*r - 6398810.\nAnswer: 5*(r - 58171)*(r - 22)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**3\/9 + 104804*a**2\/9 - 1784558*a\/9.\nAnswer: 2*a*(a - 17)*(5*a + 52487)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -119290000 rounded to the nearest one million?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*z - 4*z + 9*z)*((-1 + 1 - 1)*(-2 - 4 + 4) + 2 + 2 - 2)*(-23 + 0 - 3) + (4 - 4 + 4)*(0*z + 2*z - 6*z) as a*z + h and give a.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 259 or 258?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 8*s - 6*s)*((-1 - 1 + 0)*(-2*s - 2 + 2) + 2 + s - 2).\nAnswer: -65*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.13287 decades to years.\nAnswer: 241.3287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 4*b + 50, -161*t + 5*b - 64 = -158*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3109008 and 2849924.\nAnswer: 34199088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xxeevvxeevx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/25)\/((-72)\/(-120))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 7*k**2 + 6. Let r be x(6). What is the smallest common multiple of 32 and 24\/10 + 12\/r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 41 = 4*h. Let d be (-4)\/h + (-24)\/(-156). Suppose k = 3*o + 12, 3*k = -d*o + 3*o + 60. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 18*d**2. Let x(s) = 102*s**2 + 6*s + 4. Let a be x(-1). Let h(m) = a*m**2 - 211*m**2 + 93*m**2. Calculate r(h(b)).\nAnswer: 5832*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m + 1480918. Let r be x(0). Suppose 4*g + 2*y + 2639446 = -484224, 0 = 3*g + 2*y + 2342752. Let f = g + r. Round f to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 3*k**2 - 6*k**2 - 10 - 2*k.\nAnswer: -9*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*-4*126\/(-392)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 minus 18020968?\nAnswer: -18020968.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43836713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -169, -2\/19, -20, -3, -0.04, -3\/7, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6910 + 2383952\/345. Let k be 2\/(-5) - (-6)\/15. Does o = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3013022 + -21231?\nAnswer: 2331131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23273 and 440522.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20980 = -3*r + 5*h, 4 - 20 = -4*h. Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1247*d + 1. Is f(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*f + 5*z - 753, 0 = -4*f - 4*z - 1492. What are the prime factors of ((-5 - f) + 4)*1?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - x + 114, -n - x + 120 = -6*x. Suppose -4*r - 29*r = 9*r - 2898. Calculate the greatest common factor of r and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (4 + -5 - -12 - (73 + -56)) - 37?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1228 - 3668 + 1223 + 1215 + 565*h + h**2.\nAnswer: h**2 + 565*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -29\nAnswer: -42\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 565125 - p - 563946 + 0*p as f*p + q and give q.\nAnswer: 1179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21 - (0 - 3)) + 3. Let b be 4 + -2 + h\/(-3). Calculate the least common multiple of 4 and 2\/b + (-304)\/(-14).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431195, 431187, 431169, 431135, 431079, 430995, 430877?\nAnswer: 430719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 2*c + 3*q + 2*q, -c - 102 - 938 = -c + 65*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*k - 148*k = 3. Let m(h) = -2*h - 12. Let x(g) = 6*g + 36. Calculate k*x(a) - 8*m(a).\nAnswer: -2*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-126))\/(30\/63))\/((-3)\/(-2))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2.3 (c) -4\/9 (d) -9\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*z**2 + 131*z + 1 + 141*z - 361*z + 2*z**4 + 88*z as d*z + k*z**2 + f*z**4 + t + u*z**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 12) to base 4.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 + 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 980 - 1040 = 0. What is the closest to 5 in m, -61, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3*w = 26 - 9, -2*f - 2*w - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -118*s + 716. Let n be q(6). Solve 4*b - 12 = 2*t, 3*b - 4*t - n - 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d*d**(3\/4)))**(-29) assuming d is positive.\nAnswer: d**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-225)*(-25)\/10. What is the closest to 0 in z, 3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -6)*(-13)\/(182\/36). Suppose -o + 3*c = -r, 2*o - 9 - 15 = 3*c. Let d(n) = n**2 - 6*n - 6. Determine d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9972 - 225.2395\nAnswer: -227.2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - t + 5. Let r be -5 - -8 - (-2 - (-9 - -1)). What is m(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6070 divided by 4?\nAnswer: -3035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393662.9 centuries to decades.\nAnswer: 3936629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22 + -15 - 4) + -48 - ((0 - 3) + -5)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/255 + -1783\/510. Find the common denominator of h and -3 + (93\/7 - 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -31 - -39 - (-58)\/(-6). What is the third smallest value in 3, -3\/7, -0.4, b, -1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24966.\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 8*k - 7. What is c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122022 (base 4) in base 2?\nAnswer: 11010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 4. Calculate the remainder when (-11*(-7)\/2)\/(67\/134) is divided by o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136572966.\nAnswer: 2, 3, 843043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5364 and 6795294?\nAnswer: 40771764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {g: 1, a: 2, v: 2, l: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7030 = -98*r + 54*r - 141*r for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293 + 196*w**3 - 29*w**3 - 289.\nAnswer: 167*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -1\/2*r**2 - 1\/2*r**4 - 24*r + 1\/6*r**3 + 0. Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from addadd. Give prob of sequence addd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:42 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 3:38 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from eygxwywyuy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 3. Let l be r(0). Let i = 0 + l. What are the prime factors of (-2 - 1)\/(i\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 493451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18*(-1 + (-20)\/(-8)). Let r be -1*(z\/1 - 3). Let c = 51 - r. Solve -c = -3*x - 2*p - 0, 5*x + 2*p = 31 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p + 43*p - 29*p. Let x(y) = -357*y**2 + 168*y**2 + 199*y**2. Give x(r(b)).\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 60*t**2 - 259*t - 145. What is w(5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 50*g - 85. What is j(-14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*n = 105 - 27, -24*b + 26*b - 104 = -9*n for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -346 - -352. Solve 0 = -l*x + 2*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-950)\/(-798) + 12\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 298586, -1 in descending order.\nAnswer: 298586, 132, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, -2\/7, -32.\nAnswer: -32, -3.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3380397597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {v: 5, b: 3, i: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1 - -1) - (-108 + 2906). Is q\/((-8)\/10*(-5)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304015.2*2.\nAnswer: -608030.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 3605*(68\/(-28) - 1). Calculate the greatest common factor of c and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamcccwhcwmcw. What is prob of sequence mc?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (0 + -1 + -4). Suppose b = -3*b + 12. What is the smallest common multiple of b and (100\/35)\/(v\/(70\/4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(4 + (-44)\/8). Suppose 5*h - h = -4*w + 144, a*h + 151 = 4*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -135899.\nAnswer: 135898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*i - 9, -i - 4578 = -2*h - 4585 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-4)\/(-8))\/((-6)\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7635005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 10*k + 432. Let d = -21 + k. Suppose d*z - 37 = 59. Solve 2*f - 5*u = 5 + 6, u + z = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j + 92 - 92.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 10*f - 8. Let r(q) be the second derivative of -q**4\/2 - 3*q**3\/2 - 7*q**2\/2 + 2316*q. What is 5*n(m) - 6*r(m)?\nAnswer: m**2 + 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 - -19373300.\nAnswer: 19373301.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 - -29.25. Let z = w - 29.0032. What is z rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 6*u - 4. Let c be -3*(-14)\/12*4. Let y = c + -11. Give d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 606501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 4*p - 29. What is the lowest common multiple of 68 and b(-15)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5927535 and 6712.\nAnswer: 47420280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5 + 61*g**2 - 6*g + 28*g**2 - g - 90*g**2. What is b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 2. Let s be y(-4). Let f be 60\/(-18)*(-3)\/s. Suppose 15 - 5 = f*m. Solve 2*b - m = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291010 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -107, -208, -309, -410?\n\"Answer: -101*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(2\/(-56))\/(528\/154).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*h + 64, -h = -11*s + 8*s + 63. Solve 40*n - 21*n = s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 819537992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23837 + 55917. What are the prime factors of x?\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 6*j + 95 = 0, 0*j = 4*q + 3*j - 219 - 222 + 478 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 2)*(-u**3 - u**3 - 6*u**3) - 2434*u + 2434*u - 928*u**3)*(4*u - 2*u + u + (2 + 0 - 3)*(-2*u + 5*u - 5*u)).\nAnswer: -4560*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 40*l + 9*l. Solve l = 9*f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 1452703479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6*r - 2 = 0, 0 = 3*c + 4*r - 13. Solve -3*v = -2*v - c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24225 divided by 3.\nAnswer: 8075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g. Calculate the remainder when l(-3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 65 = 0. Let p = 56 + -223\/4. Which is the third biggest value? (a) p (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28873352 is divided by 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492568 = 144*k + 40*k. Is k at most -2677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 3. Let s(r) = 0*r - 4 - 5 - 2*r + 9 + 2. Suppose 3*o + 2*o = -25. Determine o*s(z) + 3*y(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**3*n**4 - 1403*j**3*n + 2*j*n**3 + 153*n**2 wrt n.\nAnswer: 48*j**3*n**2 + 12*j*n + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/8*16*(-18)\/(-11664).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = w - 24, -4*o = -0*o - 2*w - 22. Find the third derivative of 28*h**2 - 13*h**o - 27*h**2 + 3*h**5 wrt h.\nAnswer: -600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:45 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/96 - j**5\/30 - 19*j**4\/96 - j**3\/4 + 32*j**2. Suppose b(u) = 0. Calculate u.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.5 + -36.5. Let k = 1846 - 1849.956. Let y = v - k. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - 99.05. Let r = -0.05 - z. Which is the smallest value? (a) -5 (b) 2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20882, -18336, -11542, 1624, 23286?\nAnswer: 55568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 517659157 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.58 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -17*z + 127. Let d be ((-6)\/(-9) - -1)\/((-6)\/(-18)). Let u be s(d). Calculate the highest common factor of 140 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3026 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366411 is divided by 211.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5711.5 - 5712. What is the fourth biggest value in f, 2, -1, 24.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-4))\/(2061\/1374))\/(2\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -744401740 and -0.012904.\nAnswer: -744401740.012904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from uuuuuuwppupuwupwuuuu.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.163931 and 0.06?\nAnswer: -0.00983586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bca6c (base 13) to base 14.\nAnswer: 1480c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.33, 2\/9, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 492 - 348. What is the greatest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -928397\/22594 - 1\/2054. Let l(y) = -y**3 + 14*y**2 - 16*y - 2. Let h be l(13). Let b = h - j. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111210?\nAnswer: 2, 3, 5, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*g = -21, 5*g - 14 - 16 = -4*u. Let l(i) = 2*i**2 + i - 7. Does 16 divide l(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 + 1944*g**3 + 79268*g**2 - 2119680*g - 2197008 = 0.\nAnswer: -438, -66, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 562 = 562. Sort 37, k, -5 in descending order.\nAnswer: 37, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11044, 22083, 33122?\nAnswer: 44161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760 + 3041 = -396*i - 4055 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47*a**3*o**2 + 12*a**3 + 5*a**2*o**3 - 5*a wrt o.\nAnswer: -94*a**3*o + 15*a**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 258*f - 1 - 44 + 0 + 27.\nAnswer: 258*f - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5192*a**2 - 36*a - 1. List the prime factors of z(-1).\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -20 - (-3 - -7 - 21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 4*r - 2. Let b be i(-3). Does 4 divide 3\/(3*b\/(-105))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2256\/84*15\/(-90)*21\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1.4 (b) -1884 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-4)\/10*20\/8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -4 (c) 2.8 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 111*n**2 - 36328*n - 1964.\nAnswer: (3*n - 982)*(37*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 264 = 82*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -346+-1590673\nAnswer: -1591019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 232 in -2, 51679, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3267 - 65323\/20. Calculate the common denominator of q and 23\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 + 55. Let x(q) = -q**2 + 4*q - 2. Let j be x(8). Let r = j - f. Sort -3, r, 4 in decreasing order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1815 = -22*a + 143. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 - 222. What is the derivative of 3*w**j + 10*w**4 - 5*w**3 + w**3 + 62 - 6*w**4 wrt w?\nAnswer: 28*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1029 and 9205434?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10015 (base 6) in base 15?\nAnswer: -5c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40104664043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 28*y - 12. Let k(c) = 9*c - 4. Determine 2*i(o) - 7*k(o).\nAnswer: -7*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7967198951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 6*c**2 + 5*c. Let b be 7\/(-2) + (-34)\/(-4). Give k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -0.7, -0.2, 2\/3, -782?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.123 and -457?\nAnswer: 456.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - n - 1 + (3*n + 3*n - 21*n)*(-2 - 5 + 6))*(-2*n - 6*n + 5*n).\nAnswer: -42*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/994 and 73\/11218.\nAnswer: 78526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5070*s**4 + 1923 - 3566*s**4 + 3771*s**4 with respect to s.\nAnswer: 21100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/110 and -93\/100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 14 + 4 - 44*y in the form w + p*y and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 120.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 11*d**3 - 2*d**2 - 3*d - 11*d**3 - 5 - 6*d**3. Let x(f) = f**3 - f**2. Let n(c) = -v(c) - 5*x(c). Give n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -8*j**4 - 34*j**3 + 34*j + 8 = 0.\nAnswer: -4, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*c - 3*z, -c + 3*z - 1 = z. Let a = 82.9 + -88. Let p = a - -1.1. Sort c, 5, p in descending order.\nAnswer: 5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.088589 millennia?\nAnswer: 8.8589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (4 + 0)) + 11. What is the third derivative of -18*c**2 + 11*c**3 + 8*c**5 - l*c**3 wrt c?\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211\/9 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 5\/2*z**2 + 0*z**3 - 2*z + 0 + 1\/12*z**4. Give h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 4. What is l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21206593 to the nearest integer?\nAnswer: 4605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 29 = 79. Let m = -16 + s. Let l = 7 - 4. What is the remainder when m is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1630 (base 7) to base 14\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(40)\/sqrt(8) + sqrt(5) + -5 + sqrt(15)\/sqrt(3) + sqrt(5))**2.\nAnswer: -80*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + z**2 - 15*z. Let g be a(0). Solve -4\/3*j**2 + g + 8\/3*j = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 12, -3255, -30, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 23*m - 7*m - 1 as x + p*m and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 9*u - 6*u. Sort -4, 3, u in descending order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1. Let g(r) = -r + 5. Let s be (3 + -2)\/(1\/(-6)). Let x(m) = s*i(m) - g(m). Let f be x(-3). Which is the third smallest value? (a) 3 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-4 + 9 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278104 is divided by 68083?\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1082272435 and 2355?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 3*r - 5*r - 3885 = 0. Solve 776*v - r*v = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 2*q**3\/3 + q**2\/2 + 6*q + 4. Let d be g(-3). Let h = 81 - d. Calculate the greatest common factor of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**3\/5 + 33*m**2\/10 - 84*m\/5 + 4361. What is t in h(t) = 0?\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/12 - z**3 - 4*z**2 - 101*z. Give b(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from xvezj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3864477288 to the nearest integer?\nAnswer: 62165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101110101 (base 2) to base 15.\nAnswer: -874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 - 0) + -2)\/(-1). Let m = 4 + j. What is the first derivative of m*x + 4*x + 2 - 5*x + 3*x wrt x?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(176) + -4 - (-2 + sqrt(176)*2)) + 4)*-3)**2 + -5.\nAnswer: -216*sqrt(11) + 1660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 15*n = 4, -5*a - 4*n + 48 = 0. Calculate the highest common divisor of a and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10898 - 5451 - 5*w - 19*w - 5451. Calculate u(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -428 (b) -1\/23 (c) 14 (d) 5 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -745550 (base 8) in base 4?\nAnswer: -330231220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221163047 divided by -1139.\nAnswer: 194173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*m**2 + 6*m - 3*m**2 - 8*m**2)*(-10*m + 4*m + 12*m).\nAnswer: 30*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 2. Let n = 3 + 9. Let m(v) = 10*v + n*v - 28*v - 6. Suppose -2*w = -0*w - 20. Calculate w*u(a) + 3*m(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*g**3 + 0*g**2 + g**2 + 8*g - 20*g + 190*g**3 + 11*g - 1 to c + v*g**2 + d*g + o*g**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-88)\/10 + (-36)\/180. Suppose a - p = 2*p + 5, -a - 13 = 3*p. Sort 3, b, a, 4 in ascending order.\nAnswer: b, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:07 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*h - 32 - 33, -2*n + 22 = -h. Let f = n + -11. Suppose -2*y - t = -9, -5*y + 5*t + 4 = -26. Put f, y, -4 in increasing order.\nAnswer: -4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:39 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31925, 127493, 286773, 509765?\nAnswer: 796469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) - (sqrt(133) + 2*sqrt(133))))\/sqrt(7).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*n - 4*d, 5*n + d + 6*d = -41. Let y(u) = 7*u**2 - 2*u + 2. Let m(z) = z**2 - z + 1. Calculate n*m(b) + 2*y(b).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3755, 7821, 11885, 15947, 20007?\n\"Answer: -p**2 + 4069*p - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78953 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 425, 596, 507, 158?\n\"Answer: -130*s**2 + 561*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a - 162 + 117 = 53 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -7. Let j be (-2)\/6*d + 0. What is the derivative of 3*b + b - j - 5 + 2 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1992*g = -1871*g + 2662 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15202937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*-1*sqrt(180)*3*6 + 0)**2.\nAnswer: 4320*sqrt(5) + 933145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 71760*t + 430364. What is r(-6)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 3*u**2 + 4*u + 1. Let i be j(4). What is the highest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.3 (b) 0 (c) -2 (d) -138746\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:57 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2 - (-2)\/4). Suppose -14 = -a - 6*a. Suppose -t + 8 = a*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 411 by 6643.\nAnswer: 411\/6643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 3)*(-4880*b + 3607 + 1580*b - 3607).\nAnswer: 33000*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023582 is divided by 144540?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*h - 6 = 0, 40*b - 35*b = -4*h - 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 2)*1*-2. Suppose 0 = u*j - j - 3. Solve 5*h = j - 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.971164 rounded to two dps?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4457914630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 624238*c*p**2 + 11628*c*p + 12 wrt p.\nAnswer: 1248476*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 631 = 181. Suppose p = 14*n - 4. What is the smallest common multiple of n and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3 - -1) + 1 + 5 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255.518051 + 140.492874. Let m = 0.108177 + t. Let o = m + 115. Round o to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3 - 7. Differentiate -1 + 4*w + 5*w - b - 5*w wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18037200 divided by 6.\nAnswer: 3006200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -244*y**2 - 1010 wrt y?\nAnswer: -488*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/375)\/(-16)*2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 1, v: 1, k: 1, n: 1, q: 2}. What is prob of picking 2 e and 1 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 479655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 93 = 13. Let o = -125 + d. Is 28 a factor of (28\/6)\/((-12)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - (-4 - 12\/(-45)) and 70\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1089699 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*n - 660 = 156*n - 92*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/((16\/((-256)\/(-24)))\/(3\/(-6)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 14*y**2 - 16*y - 32.\nAnswer: -2*(y - 4)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.07 - -0.07. Let k = -0.4 + 0.2. Let x = -0.3 + 0. Which is the nearest to -1? (a) x (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23504 divided by 5\nAnswer: 23504\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**2\/4 - 42255*a\/4 + 2664375\/2 = 0.\nAnswer: -14210, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by -1987.\nAnswer: 106\/1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:29 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33712853 is divided by 1037.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98.6696 - 10.6618. Let h = -88 + g. Round h to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + -9 - (3 - (6 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 (base 16) in base 15?\nAnswer: 16e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -1510*(-15)\/(-15). Put w, 0.4, -3 in decreasing order.\nAnswer: 0.4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**3 - 2*m**4 + 3*m**2 + 2790*m - 3 - 10*m**4 + 0*m**2 + 10*m**4 - 2784*m as j*m**2 + o*m**3 + r*m**4 + u + g*m and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035487 rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = x - 26686, -4*y - 133310 = -29*x + 24*x. What are the prime factors of x?\nAnswer: 2, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwwabagaajgaahg. What is prob of sequence ga?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzibjgjghjjb. What is prob of sequence bzi?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/16 and 31\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(-4*sqrt(12)\/sqrt(3)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*q - 24. Let s(f) = 8*f - 299. Let r be s(47). Let d be (-48)\/(-22) - 0 - 14\/r. Solve d*a = 5*a + q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 40 = -3*r - 2*q, 3*q = 5*r - 61. Let u = -6 + r. Let t(o) = 2*o - 1. Let d be t(4). Solve h + u*x - d - 16 = 0, -2*x + 4 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Four letters picked without replacement from {c: 2, a: 2, b: 1}. What is prob of picking 1 a, 2 c, and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.81 <= 10353.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, 1 a, and 1 b when four letters picked without replacement from fafffccubaa?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2. Suppose 407 = -z - 2*m, 5*m + 1642 = -4*z + 4*m. Let u = -410 - z. Determine y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10b27 + -15?\nAnswer: -10b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56611, -56811, -57011?\n\"Answer: -200*l - 56411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 956 divided by 4?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4911958 or 4911959?\nAnswer: 4911958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hththohht. Give prob of picking 1 o and 1 h.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 6.68. Let s = 7 - a. Let t = s + 0.02. What is the nearest to 1 in t, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (63\/6)\/(1\/(-2)). Let w = -232 + 138. Let z = f - w. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73907.37mg to kilograms.\nAnswer: 0.07390737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380694268?\nAnswer: 2, 67, 1420501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295251 and 1265?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/7 - 53320*z - 60412392\/7 = 0.\nAnswer: -186458, -162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**3 + 2*n**2 - 162082*n - 335540?\nAnswer: 6*n**2 + 4*n - 162082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*f - 67714, 1 + 3 = 4*f. List the prime factors of c.\nAnswer: 2, 3, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yccyc. Give prob of picking 1 y and 3 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 4*u + 152 = -6*s, -7*s + 361 = 3*u. Solve 0 = 43*i - 17*i - s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*o + (0 + 2 - 4)*(-o - o + 5*o) - 3*o + 0*o + 2*o + 0*o + 2*o + 2*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8471*-0.086.\nAnswer: 728.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*n = 6153 + 6103 - 2213 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, 2, -2, 4 in ascending order.\nAnswer: -2, 2, 4, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -1397.2326653974?\nAnswer: -1395.2326653974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.97 + -0.03. Let t = 2.21 - 3.31. Let v = t - -1.5. Which is the nearest to h? (a) v (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*5*((sqrt(176) - sqrt(11)) + sqrt(11))*2 + (4*(sqrt(132) - sqrt(132)*2))\/(-1*sqrt(48) + sqrt(48) + sqrt(12)))**2 + 4.\nAnswer: 457775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/39 and 32\/3915.\nAnswer: 50895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00751752899 to seven decimal places.\nAnswer: -0.0075175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 9. Let a be g(-9). Suppose -5*w + 30 = -a*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17227087 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z**2 - z + 700. Let r be v(0). Suppose -4*c + 4*u - r = -0*c, 185 = -c - u. What is the units digit of 3 - (-7)\/((-35)\/c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 12. Suppose 148 + 49 = 2*n - l*q, 5*q = -4*n + 339. Round n to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 24 = -2*b. Let l be ((-88)\/(-5))\/(5\/25). Suppose -b*w + l = -4*w. Calculate the highest common divisor of 88 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 12:40 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/28)\/t**(-1\/20)*(t*t*t\/(t\/(t**(-29)\/t)))\/t*t**(13\/6) assuming t is positive.\nAnswer: t**(-2801\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*l + 9309 = -534*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 + (5 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(-9 + -10 + 6) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43\/2 of a kilometer?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 12. Let y be ((-12)\/10)\/((-2)\/5). Let c be (6\/(-4))\/(9\/(-6)). Solve a - v*w = y, -a + c = -5*w + 3*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 4*g - 39 + 15 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 - g**2)*(1 - 2*g - 1)*(5*g - 7 + 7 + (1 - 1 + 5*g)*(1 + 3 - 2) + 0*g - 5*g + 4*g - g + 0 + 0).\nAnswer: 26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 318 = 5*r - 316, 3*f - 2*r - 599 = 0. Suppose 4*c + f = -89. Let v = -65 - c. Which is smaller: 11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5320 = -4*j + 4*f, 16 = f + 13. Calculate the greatest common divisor of j and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2 + 11. Let x(g) = -1763 - 3*g**2 + 1775 - 5*g**2. What is 6*k(n) - 5*x(n)?\nAnswer: -2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3049, 3066, 3069, 3058?\nAnswer: 3033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + 2*h - 4. What is the units digit of w(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 9*l + 13. Let p(o) be the third derivative of 1\/60*o**5 - 2*o**2 + 0*o + 0 + o**3 + 1\/6*o**4. Let j = -17 - -8. Calculate j*p(c) + 4*m(c).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-20368)\/1104) + 14 - (19 + -6)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 5, 1\/7, 10, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1029 = -77. Let n(j) = 235 + 243 - 4*j - v. Let f(b) = -1. Calculate 4*f(r) + n(r).\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6370, 25243, 56670, 100651?\nAnswer: 157186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - 865\/275 - (-2)\/(-5) and 35\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1272 divided by -6820.\nAnswer: -318\/1705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37113951 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103273 = -4452*a + 58098 - 132905 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683086 is divided by 85370.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9289 and -2.\nAnswer: -1.0711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10\/25*(-1945)\/(-18672)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19850000 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*1 + (-14)\/280?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4545834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 7. Let u be q(-5). Let y be 36\/16*(-16)\/3. Let h(m) = m**2 + 13*m + 16. Let z be h(y). Sort -2, u, z in ascending order.\nAnswer: -2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71188255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48373 by -4.\nAnswer: -48373\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 13*q**2 + 44*q + 9. Let i be h(-16). Find the third derivative of -90*g**3 + i*g**6 - 2*g**2 - 6*g**2 - 5*g**2 - 138*g**6 + 64*g**6 wrt g.\nAnswer: -120*g**3 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2 + 16. What is the least common multiple of -6*(4 + -5)\/(12\/8) and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 divided by 573?\nAnswer: 1562\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4\/((c*c**14*c)\/c))**(-4\/7))**6 assuming c is positive.\nAnswer: c**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*m = -269*m - 4752. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643091?\nAnswer: 227, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291.6*-0.12.\nAnswer: 34.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8456 divided by -229?\nAnswer: 8456\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/7 - 9503*z\/7 - 9504\/7.\nAnswer: (z - 9504)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b + 2. Let d(f) = 15*f + 3. Let h(x) = -2*d(x) + 5*r(x). Let g(o) = -4*o - 3. Give -4*g(c) - 3*h(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 4:13 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002252 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (3 + -3*sqrt(3) + sqrt(3)))*5 + sqrt(192) + sqrt(12) + -5)**2.\nAnswer: -1000*sqrt(3) + 2275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 5) in base 10?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4 = 11*c - 6*a + 3, -c + 7 = -3*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, -3, 2 in increasing order.\nAnswer: -9, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23860)\/3579*(-3)\/35?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -49. What is the greatest common divisor of k and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 7*d**2 - 2*d - 4. What is the remainder when k(-7) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -23. Solve 0 = 2*n - 3*d + 19, 3*n - 5*d = -m*d - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1256904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 2751, 21 in descending order.\nAnswer: 2751, 21, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5980863622 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 3*k**2 - 5*k. Let a be -24*(12\/9 - 2). Let s = 12 - a. Let m be i(s). Solve -m*d - 9 - 11 = 2*z, -5*d - 18 = -z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450111225 - 0.278866?\nAnswer: -1450111225.278866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18344*w**4 + 29714*w**2?\nAnswer: -440256*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, c: 7, l: 7, x: 3, y: 1}. Give prob of picking 1 y and 1 i.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k + 5. Suppose 4*s + 1 = 33. Let v = s + -16. Let p be 4\/14 + (-37)\/7. Let a(z) = 5*z - 8. Determine p*a(r) + v*n(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4592428*u**3 + 884660*u?\nAnswer: 27554568*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 264*h. Let b(i) = -32898*i + 6. What is y(b(t))?\nAnswer: -8685072*t + 1584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 609*z - 609*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 3. Let v be j(7). What is the greatest common divisor of 36 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.86 (b) -0.1 (c) 2904 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3 + (-5 - -8))\/(-1))\/(-2). Suppose 4*q + 5*h + 0*h - 2504 = u, 0 = 3*h. What are the prime factors of q?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003502 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/9 - (0 - 0). Let q = -0.5 - -0.9. What is the third smallest value in t, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29f - b285?\nAnswer: -afe6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - (-1534)\/130)\/(4\/10). Solve -c*v - m - 3 = 0, 8*m = -v + 7*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -c + 25, 5*c + 3344*y - 3326*y = -103 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6008 divided by -3.\nAnswer: -6008\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -10. Suppose -4*f + 11 = 5*b - 11, -4*f = -2*b - d. Is (-1)\/f - (-424)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let p(c) = -6*c**4 + 37*c**2. Let m(x) = -6*b(x) - p(x). What is the third derivative of m(o) wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*q + 3 + 32, -4*q + 47 = 3*f. Calculate the least common multiple of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n - 60. Let w = n - 10. Let s = -20 + 30. Calculate the greatest common divisor of s and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2.88?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4039 divided by -4?\nAnswer: -4039\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwd when three letters picked without replacement from {t: 4, i: 1, d: 8, w: 1, q: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 5. Let d = -524 - -322. Let b be (-2)\/8 + d\/(-8). Solve 0 = k*y - y - b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 16*u**2 - 14*u - 6. Let i be k(15). Let v be (-7)\/((-42)\/i)*254. Let h = v - -36. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8761003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*k**3 + 279*k + 350*k - 626*k + 2 - 3*k**2 as z*k**2 + a*k + g*k**3 + p and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*l - 12. Suppose -l*r - 51 = 81. Let p = r - -52. Solve -p = -w - w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/12)\/q)\/(q*q**(2\/3)) assuming q is positive.\nAnswer: q**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m - 3731 - 8816 = -44*m - 3749 for m.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.7, -3\/7, -2, -2\/23, 11 in decreasing order.\nAnswer: 11.7, 11, -2\/23, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a**3 - a**2 + 1\/24*a**4 + 0*a**5 + 0*a - 1\/30*a**6 + 0. Find the second derivative of v(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*l - v - 130, 5*l + 3*v = -335. Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168\/24 + (-4)\/6 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:30 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 15, d: 5}. Give prob of picking 2 d.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -21*u**2 - u + 4. Let f be z(-2). Round f to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/11639?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/14 and -43\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2 - (-328)\/180)\/(50\/(-1250))\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41.801 and -3.84852?\nAnswer: 37.95248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187044 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k + 0*k**3 + 3*k**3 - 12*k - 43 - k**3 in the form d*k**2 + s*k + p*k**3 + z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53847975 times 0.4?\nAnswer: 21539190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -13. Let o = -18 - v. Is 0*(-4)\/o - -751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 2, o: 1, m: 4, t: 2}. Give prob of sequence kko.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5432.351175 to the nearest integer.\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -174335580 divided by 3258\nAnswer: -53510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -431*h**2*z**3 + 17*h**2*z**2 + 21*h**2*z - h*z**3 wrt z?\nAnswer: -2586*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10736972 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 1 - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87\/5 or 2709?\nAnswer: 2709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9503101*x - 11892101.\nAnswer: 9503101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 11*w + 20. Suppose 0*p + 4*q = -2*p, -4*p = 2*q - 18. Let x be z(p). What is the highest common divisor of x and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 90*y**3 - 351*y**2 - 4860*y - 8748 = 0. What is y?\nAnswer: -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times 0.279?\nAnswer: -58.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 0.32, 2 in decreasing order.\nAnswer: 2, 0.32, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394714 at least 1394718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -43*r + 185. Let j be q(4). Solve 8*t - 3 = j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 4168966?\nAnswer: -17\/4168966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1699.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/32 + 29\/32. Let c be (2 - (-3 - -2))*(-16)\/(-6). Let y = -20 + c. What is the smallest value in y, 4\/5, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5980 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 274622196 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 23652*q - 378419. Determine y(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 15. Calculate the remainder when (18825\/375 + -52)\/(6\/(-710)) is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) + 0)**2) + (sqrt(44)*-2)**2 + -1 + sqrt(99)*2 + -1.\nAnswer: -530 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) - -2*sqrt(3))*1 + -1 - (sqrt(45)\/sqrt(12))\/sqrt(5)*-3.\nAnswer: -6 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 - 17*b**2*g**3 - 2*b**2*g - 3*b*g**3 - 149*b wrt b?\nAnswer: -6*b - 34*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36467305 to the power of 1\/2, to the nearest integer?\nAnswer: 6039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/66? (a) -2 (b) -6 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*p + p - 189 = 0, 2*p = 0. Suppose -2*r - r = -z. What is the remainder when (-9)\/(-15) - 13\/((-130)\/814) is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:05 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s - 11. Let l(o) be the second derivative of -2*o**2 + 1\/3*o**3 + 0 - 27*o. Give 4*i(y) - 11*l(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 53323379.\nAnswer: -25\/53323379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0*h + 0*h**2 - 1\/2*h**3 + 0*h**4 + 0 + 1\/2*h**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 234*r - 10777. Give y(47).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 - 4. Let t = 11 + -9. Put x, t, 0 in decreasing order.\nAnswer: t, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*s - 68, 4*k - 34*s = -37*s + 63. Solve -21*y - k + 54 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65494.85ug in grams?\nAnswer: 0.06549485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (-4 + 0 + -2*sqrt(1216) - ((sqrt(1216) - (sqrt(1216) + 1))**2 + sqrt(1216) + -3 + 1)))*3.\nAnswer: 36 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 - 3*n - 3. Let j be h(2). Suppose 31315 = -j*p + 16*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 688.398 + -690.947095. Let c = u - -2.55. What is c rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 779800, 780189, 780578, 780967, 781356?\n\"Answer: 389*q + 779411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 - -93.99999906. What is i rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.37341937 and 1283?\nAnswer: 1279.62658063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 139. Suppose 0 = -4*u - 3*q + w, q + 110 = 4*u + u. Find the common denominator of -145\/6 and u\/(-7)*(-6)\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/29)*d**(-11))\/((d\/(d*d**(4\/3)))\/d)**(4\/15) assuming d is positive.\nAnswer: d**(-13633\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*p - 54*p + 45. Put -4, p, 0 in increasing order.\nAnswer: p, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from snnnnnsnqnnsnnnnnnqn.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 2. Let t be k(-4). Let n = -88 - -83. Is t bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = -6*k + 11*k - 10*r + 136, -4*k - 5*r + 67 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 + 2. Let i be k(0). What is the third derivative of 0*n + 3*n**3 + 0*n**3 + 0*n - 2*n**i wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -15207144 = -15207139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (-317 + 309 - (-5 + (1 - 0))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 + 10*g + 12. Let z(n) = -n**2 - n - 1. Let i(k) = r(k) + 6*z(k). Let b be i(4). Calculate the greatest common factor of b and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45989*c*f*l**2 + c*f*v**2 - 3*c*f + 11852292*c*l**2*v**2 + 2*c*l**2*v + c*l**2 + f*l*v - 2*f*v**2 + l**2 wrt v?\nAnswer: 2*c*f + 23704584*c*l**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvdtxvavvvtj. What is prob of sequence da?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**3 - 40*y**2 - 50*y - 4. Suppose 0 = -p + 5*p - 12. Let v(j) = -j**3 + 8*j**2 + 10*j + 1. Let s(g) = p*c(g) + 16*v(g). Factor s(t).\nAnswer: 2*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7204 and 5.\nAnswer: -7199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152257 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*k + 1030 + 650. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237601337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 9*a = -33. What is the greatest common divisor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*p**2\/3 + 231457*p\/3 + 66130\/3.\nAnswer: (p + 33065)*(7*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = -2*q, 4*q + 11 = 5*h - 5. Let f(m) = 2*m**2 - m - 3. Let a(i) = i - 1. Let r(k) = 4*a(k) - f(k). What is r(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 1. Suppose -8*g + g - 49 = 0. Calculate n(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 + 296*r**2 + 2*r + 571 wrt r.\nAnswer: 12*r**2 + 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -347.\nAnswer: -4\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -78. Let s = 5 - 5.4. What is the biggest value in s, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -6 (c) 1 (d) 3\/14 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b66a1 (base 13) in base 9?\nAnswer: -550547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6504 - 58609\/9. Calculate the common denominator of (-92)\/(-132) - ((-15)\/(-5) + -2) and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 171767 (b) 3\/7 (c) -1\/7 (d) -6\/187\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3303 * -2\nAnswer: -0.6606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/297 and 5\/2904?\nAnswer: 26136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674 a factor of 32394629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*j. Let r(b) = -b + 1. Let x be r(j). What is the least common multiple of (2\/(-5))\/(x\/(-55)) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825100 is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*(a*a**(3\/4)*a)\/a*a)*a)\/a**(2\/5))**(5\/6))**9 assuming a is positive.\nAnswer: a**(-189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8732 divided by -74\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 71d6 (base 15) to base 3\nAnswer: 1012222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 2*r + 9, -5*o - 5*r = 15. Suppose -s - 9 = -4*s. Suppose 0*m + s*m = -12. Is o != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 1:18 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 24979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 74*i + 2*i**3 - 3*i**2 - i**3 - 77*i. Suppose -12*f + 10*f = -14. Is 15 a factor of u(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a meter in centimeters?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrrrhhrhqqhjqrdd. Give prob of picking 1 d and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259060674?\nAnswer: 2, 8747, 71971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**9\/90720 + s**4\/4 - 6*s**2. Let v(f) be the second derivative of a(f). Suppose v(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72180 and 1203?\nAnswer: 72180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/89917 and 5\/8.\nAnswer: 719336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -15 - 17. Suppose -w - 63 = -u - 4*b, -4*u + 327 = 5*b. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12809.6 rounded to the nearest one hundred?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 109162 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*h**2 + 68*h.\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 877 + -797. What is the smallest common multiple of 142 and t?\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3131222?\nAnswer: 2, 1565611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(-2\/13)*y*((y*y*y\/(y**6\/y*y))\/y)\/y*y*y\/y**4*y*(y**(-2\/11)*y*y**(-3))**(-32) assuming y is positive.\nAnswer: y**(27829\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 3*g - 4. Let m be r(-4). Let p(l) = m*l - l - l + l. Let k be p(-5). Solve -6 = k*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkmkxmkkmxxcxkk. Give prob of picking 1 m and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*f - 5 + 576*f + 1 + 536*f.\nAnswer: 896*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 11:25 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + a - 3*a - 2. Let p be o(5). Let j = -4 - p. Solve -k - 5 = 5*t - 6, -3*t = -3*k + j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -23*w**6\/720 - w**5\/120 + 3*w**4\/4 + 4*w. Let t(c) be the third derivative of y(c). Does 11 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {t: 1, w: 3, f: 12}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 33*h + 689. Give n(-19).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 193a - -66?\nAnswer: 19a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/3493060 and 79\/196659278.\nAnswer: 1966592780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129 + -9)\/(-12) + (-697)\/(-17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y. Let l(n) be the first derivative of -n**4\/12 - n**2\/2 + 7. Let v(k) be the second derivative of l(k). Calculate d(v(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-8)*2*5926\/(-9). Let x = v + -976. Determine z, given that 5\/3 - 25*z**4 - 15*z**5 + 70\/3*z**2 + 10\/3*z**3 + x*z = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 45, -5*l + 293*o = 295*o + 38. Suppose 3*t - 3*u = -3, 2*u - 5 = -5*t + 5*u. Which is the nearest to t? (a) l (b) -3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3756887 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1409 - -1412. Sort o, 1\/2, 7, -0.01 in descending order.\nAnswer: 7, o, 1\/2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let w = -261 + 258. Which is the closest to -0.1? (a) 5 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69348231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*n**2 - 21*n + 178*n**2 - 5 + 4 - 344*n**2 to the form i*n + o*n**2 + w and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -5. Let t(h) = -3*h**2 - 33*h + 5. Let c be t(-11). What is the nearest to -3 in c, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224 - 224.000003205. What is a rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.06, 74?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/6 in 5, -113, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-22) - 1925\/(-605). Suppose -4*a + m*w = -27, 2*w + 18 + 7 = 5*a. Sort a, -1, 4, 6 in ascending order.\nAnswer: -1, a, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 0.1, -3, 3, -4\/293?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -246*a + 105. Does 6 divide r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/9929241?\nAnswer: 4\/9929241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 303 + 87 = -4*j, j = 5*w + 54. Suppose j = -5*d + 7*d. Let u = -25 + d. Solve z - 3*z = -u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 divided by -9294.\nAnswer: -127\/9294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 256186638 - 5?\nAnswer: 256186633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 41*m + 441 = 69 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -523, -522, -521, -520, -519, -518?\n\"Answer: t - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 77.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 57, 49, -13, -147, -371?\n\"Answer: -3*s**3 + 49*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, 73, 75, 79, 85, 93?\n\"Answer: r**2 - 3*r + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14579 - -1439.\nAnswer: -13140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 304980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**4 + l**3. Let m be (-2)\/8 + 6\/(-8). Let r(v) = -6*v**4 - 2*v**3 + 2*v**2. Let w(a) = m*r(a) - 2*x(a). Find the third derivative of w(g) wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-11)*-2*(0 - 12 - 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 11:01 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*r + 7*r. Suppose r*g = 2*g. Let j be 16\/16 - (g + -15699999). What is j rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q**2 - q + 14. Let y(s) = -3*s - 4. Let r(l) = l + 2. Let w(f) = 10*r(f) + 4*y(f). Let d be w(2). Does 7 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -179265 + 4?\nAnswer: -179261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 53 + -48.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*g + 119 = 19*g, 84*c = 89*c - 3*g - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Express -137*o**2 + 155*o**2 - 3*o - 8 + 6 + 0 as x*o**2 + b*o + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/181488 and -1\/162.\nAnswer: 4900176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*y - 13 = 0, 1 = y - 2. Let n(b) = -8*b**2 - 3*b. Let o(s) = 15*s**2 + 5*s. Let h(g) = m*n(g) + 3*o(g). Let f(d) = 3*d**2. Give h(f(i)).\nAnswer: 45*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8\/1*(-8)\/16\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7255 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -45. Calculate the remainder when 19 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-15) - -4) + 12\/(-3). Are o and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.536 + 0.536. Let p = 0.13 + -4.13. What is the nearest to -0.37 in 2\/5, v, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49063 + 2260?\nAnswer: 2260.49063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1521*w - 151*w - 1539*w + 390*w - 112*w - 2038*w.\nAnswer: -4971*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6069 divided by -3\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10418435 - 4\nAnswer: 10418431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 1 + 13. Let g = 6 - b. Suppose 6 = 3*i, -4*m - g*i + 48 = -i. Solve -3*h + 0*h + u - m = 0, -3*u = 4*h - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = v - 6157, 4*r = 5*v + 12321. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55376729, 55376725, 55376719, 55376711, 55376701, 55376689, 55376675?\nAnswer: 55376659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/6 + 166*t. Let c(y) = 472*y. Determine a(c(s)).\nAnswer: -445568*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.055 * -5.\nAnswer: -20.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*4\/8*-4. Let u(a) = -2*a**2 - 4*a + 5. Determine u(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 44. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 5*s - s + (2 + 1 - 1)*(2*s + 0*s - 4*s))*(-2 - 6 + 2).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 - 29*f**4*i*q + f**3*i**3 - f**2*i - f**2*q - 2*f*i**3 + 50*f*i**2*q wrt f?\nAnswer: 120*f**2 - 696*f*i*q + 6*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*c - x + 14, -2*x + 15 = c. Suppose 3*s - 7*s = 8. What is the common denominator of c\/4*s - -2 and -43\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.237 + -950547.371.\nAnswer: -950562.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o - 26 + 3*o + 0*o.\nAnswer: 21*o - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21200 + -13773. What are the prime factors of y?\nAnswer: 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 9:56 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1813*g**4 - 41*g**2*n - 104942*n wrt g?\nAnswer: -7252*g**3 - 82*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18144849 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let f be d\/84*174\/(-8). Let l = -3\/8 - f. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 - 712\/(-5). Suppose 17*s + 24 = 21*s + 4*w, -4*w + 16 = 0. Suppose -q + c = q + s*j, 5*j + 320 = 4*q. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4416432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 859731.1 to the nearest 100.\nAnswer: 859700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 311796.02065 minus 647?\nAnswer: 311149.02065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -3*(-2)\/6. Suppose a*b = -5*b + 100. Let j = 25 + -15. What is the least common multiple of b and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 5.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(0*h**3 + h**3 + h**3) + 10*h**3 - 20*h**3 + 28*h**3.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 4*p**2 + 4*p - 1. Let c be z(-5). Determine l so that 60 + 2*l**3 - 4*l**2 + 7*l + 7*l - c*l**3 - 68 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p - 47*p = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28036983?\nAnswer: 3, 13, 718897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4446 and 3249792.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77.92901968704 + 0.5.\nAnswer: -77.42901968704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -708, -2980, -6724, -11898, -18460, -26368?\n\"Answer: 7*z**3 - 778*z**2 + 13*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*a - 6. Let v(f) = f**2 - 2*f. Give v(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.6 + 46.8. Let q = s + -58. What is the smallest value in q, -1, 2\/17, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9638 - 19*y - 19182 - 3*y - 2*y**2 + 9608 as m + z*y**2 + c*y and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(396) - (-3 + (2 + sqrt(396) - sqrt(396))) - (sqrt(396) + -3)*6)**2.\nAnswer: -1140*sqrt(11) + 10262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10854458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Solve 0 = o + o + v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -12*w - 6 + 22*w + 1 + 0 - 5*w**2 - w**3. Let t(r) = -2*r**3 - 8*r**2 + 15*r - 8. Calculate -5*t(s) + 8*z(s).\nAnswer: 2*s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2359, -4611, -6757, -8797?\n\"Answer: 53*i**2 - 2411*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 0 + sqrt(175) + 3.\nAnswer: 3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*i - 6 = 0, -21*i + 19*i = k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68715 divided by -5.\nAnswer: 13743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -100011110111110010110101?\nAnswer: 100011110111110010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 1. Let f(p) = -8*p**3 + 7*p**2 + p + 10. Let n(l) = -f(l) + y(l). Let k(v) = 4*v**3 - 4*v**2 - 5. Let t(r) = -5*k(r) + 3*n(r). Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**3 + 40101*a**2*o + 89507*o wrt a?\nAnswer: -9*a**2 + 80202*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 13) to base 3.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - ((-207)\/27 - -8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -7*l - 4*l. Sort -4, 13, l.\nAnswer: -4, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 6392 - 6366 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053933304 to the power of 1\/2, to the nearest integer?\nAnswer: 45320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/228 and (4\/6 - (-1416)\/(-144)) + -6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 21*t - 33. Let r be m(-19). What is the third derivative of -3*s**6 + 27*s**4 + 1 - 16*s**6 + 20*s**6 + r*s**2 wrt s?\nAnswer: 120*s**3 + 648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1161*s - 387*s - 213*s + (3 - 3 - 2*s)*(1 - 4 + 1) + 2 - 2 + 6*s.\nAnswer: 571*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/8 + (-26)\/(-4). Let c be 4\/(-4) + b + -1. Differentiate 5*p**c - 5*p**3 - 5 + 10*p**4 - 5 with respect to p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/198*(-5057 + 3 + 2). Let s = -306 + v. What is the second biggest value in -0.3, s, 16, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2786119468?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5242299 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354343 times 0.5?\nAnswer: -1177171.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 471 - 2086 = 0. Let s = 1894 + g. Suppose -3*o + 279 = 3*p - 903, 4*o - s = -3*p. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 381, 460, 415, 240, -71?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 13. Let b(q) = q. Let o(p) = 2*b(p) + k(p). Let y(v) = -2*v - 6. Let g be (-122)\/(-14) + (-16)\/(-56). Determine g*y(t) + 4*o(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -24, -37, -50, -63, -76?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/5? (a) -5 (b) -5\/2 (c) 0.1 (d) -2\/17 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + p**4 - 13 - 7*p + 2 - p**3 + 4 to the form q*p**3 + s*p**4 + j + h*p**2 + g*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/t)\/(t**(-31)\/t*t) assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*o = -383, -4*n - 96 = -5*n + o. Calculate the remainder when 473 is divided by n.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-194 - -180 - (-5 - 0)) + 3 + -1 + 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 + 1.3. What is the biggest value in i, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z - 14. Let n(s) = 3*s + 8. Let a(d) = -11*n(d) - 6*r(d). What is a(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s + 9. Let p = 40 + -46. Let m(c) = 8*c + 10. Let t(y) = p*m(y) + 5*i(y). What is the first derivative of t(r) wrt r?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010021 (base 3) to base 2\nAnswer: -101110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + (-1 + sqrt(1872))**2*-2.\nAnswer: -3746 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.16388 + 1.184. What is j rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 2 + sqrt(5) + -2.\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) - (-42)\/5. Suppose 4*l - 3*l = 4*g - 1, l - 2*g - t = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -944*k - 702*k - 71767 = 22055 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5724, -22956, -51694, -91938?\nAnswer: -143688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 1.3. Let t be 8\/60 + (-14)\/30. Which is the nearest to -1? (a) r (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-18)\/(-21) - (-1265)\/(-161)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x + 1. Let i be j(2). Suppose 58 = 5*a - a - 3*c, -a + 5*c = -23. Let f = i + a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 1. Let p(w) = 6*w**2 - 5*w**2 + 5 + 9*w**2 - w**2. What is p(r) + 5*s(r)?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 672497, 2689986, 6052465, 10759934, 16812393, 24209842?\n\"Answer: 672495*d**2 + 4*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -11*v**4\/24 + 4*v**2. Let i(x) be the third derivative of -6*x**2 + 0 + 1\/60*x**5 + 0*x + 0*x**4 + 0*x**3. Give f(i(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4288209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a**3 - 10*a**2 - 22*a - 90. Let j be i(-4). What is the greatest common factor of 468 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*-65*(-96)\/(-1872).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-390)\/30)\/(3\/((-6)\/(-2))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8546200 or -8546202?\nAnswer: -8546202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(468)*-6)\/(-2*sqrt(432)))\/(-3*sqrt(972)*-1).\nAnswer: -sqrt(13)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/13*u**4 + 16\/13 - 8\/13*u + 2\/13*u**3 - 20\/13*u**2 + 2\/13*u**5 = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 + -136.7. Let k = m - 10. What is k rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*h = -112*h + 1440510. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1351 divided by 938?\nAnswer: -193\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 888. Suppose 99 = 5*b - 6*d, 55*b - 4*d - 63 = 52*b. What is the remainder when m is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 640\/9, 2, 1\/6, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3213220 (base 4) in base 11?\nAnswer: -10157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 740230 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 16650172?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.1 + 40.1. Let d = 87.1 + -87. Let b = -3.96 - 0.04. What is the nearest to 0.3 in t, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 48330150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 22950 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -58. Let d = 3 - r. Suppose x + 10 = d*i - i, x - 2 = 0. Solve 2*s = -5*g + 4, -i*s = -g + 7 + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2. Let u(y) = 97*y. What is n(u(p))?\nAnswer: 28227*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 3*w = -40. Is 270\/w*((-130)\/15 + 6) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d + 5*w, -15785*d + 15780*d + 25 = 11*w. Factor -192\/5*k**2 - 6\/5*k**d - 48*k**3 + 0 + 256\/5*k - 68\/5*k**4.\nAnswer: -2*k*(k + 4)**3*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - -5) + -10 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5, 0.29, -2 in increasing order.\nAnswer: -5, -2, 0.29, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 4 + 0\/(-1). What is the third derivative of -k**q - 7*k**2 + 63*k**4 - 2*k**2 - 4*k**2 wrt k?\nAnswer: 1512*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 52 = -5*k, 3*k + g + 10896 = 10865 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 30 - (7 - 0)) + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/29)*o)\/o)\/(o\/o**(-1\/19))*o**(6\/11)*o**(-8)\/o)**(-2\/47) assuming o is positive.\nAnswer: o**(114410\/284867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 2 + 4)*(-2*s + 3*s - 2*s) - s - 2*s + 5*s in the form p*s + i and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7 - (-2946)\/(-3276)) + (264\/(-52) - -5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 153*b - 839. What is y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 18*v**4 + 33*v**3 - 16*v**2.\nAnswer: v**2*(v - 16)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1813186 and 289.\nAnswer: 1813186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6091 or 5965?\nAnswer: 5965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*g - 29, 2*c + g + 10 = -13. Let k be (-3)\/c*12\/(-2). Is -2 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -54*b**3 + b**2 - b. Let w be c(1). Suppose -4*m + l + 18 = 30, -3*m + 4*l - 9 = 0. Find the common denominator of -20\/3 and 12\/m - w\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -667*s + 384*s + 415*s - 3 + 3 as o*s + n and give o.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 239 = 3*j, 5*j + 413 = -5*y + 8*y. Let h = j - -136. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*g + 62*g + 89768 = -590*g - 1377*g for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139140 by 13.\nAnswer: 139140\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/1087 + 18487\/4348. Let n = 1833 + -1828. Is j at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*p - p + 10988, 2*t - 5506 = p. List the prime factors of t.\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 15*f - 11 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 101210 (base 9) to base 12\nAnswer: 2a839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26117 + 52235\/2. What is the smallest value in -0.024, -2, n, 0.091?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 6:23 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592.13 rounded to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4\/11625 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by (((-21)\/(-2))\/3)\/(21\/12138*17).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/3 - (-4)\/(-6). Let c = -2.3 - 22.7. Let l = c - -26. What is the nearest to -1 in -2, l, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-18) + 10\/(-45). Suppose 0 = -5*j - 2*x + 21, x - 4 = -v. Solve b + j = 0, -2*u - 5*b - 15 = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6056670, -6056673, -6056676, -6056679, -6056682?\n\"Answer: -3*i - 6056667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2. Let i(l) = 55*l**2. Give d(i(v)).\nAnswer: 6050*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 15 - 2*c**5 + 29)*(-8 + 0 + 2).\nAnswer: 12*c**5 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14093 by -4311.\nAnswer: -14093\/4311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*j, j - 5*j = 3*f - 8. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2 + (0 - 3 + 6)*(-7 + 2 - 1) - 1 + 5 + 1)*(-4*q**4 + 129 - q**3 - q**4 - 126).\nAnswer: 55*q**4 + 11*q**3 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*x - 0*x. Let c = -8 + x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 404 = -2*u + 300, -2*f + 3173 = 9*u. Which is the nearest to 0.1? (a) 3 (b) 4 (c) -2\/3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0, -12\/2251, -5, 68.8 in descending order.\nAnswer: 68.8, 2\/9, 0, -12\/2251, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let s = -8 - -5. Put s, 1, p in decreasing order.\nAnswer: 1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 12657198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8638460 times 35?\nAnswer: 302346100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*i - 18. Suppose 4*x = 3*x + i. Let h = x + 139. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1010 + -1013. What is the nearest to n in 0.3, 2, -2\/297?\nAnswer: -2\/297","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2135 and 4331?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127879.\nAnswer: 41, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818345169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6575.501 minutes to seconds.\nAnswer: 394530.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t + 7474 = 7425 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**6*x\/(x*x\/((x*x**(1\/8))\/x*x)))**12 assuming x is positive.\nAnswer: x**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/3 - (2 + 0). Let x = 5\/7 + -29\/21. What is the biggest value in -3, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c**2 + 3*c + 2. What is q(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 4*z**2 + 2*z**2 + 6*z + 3*z**2 as d*z + b*z**2 + v and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248574?\nAnswer: 2, 3, 17, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3622 is divided by 278.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-90)\/(-20) + 6\/(-4). Suppose 5*u = -3 + 13. Let o(l) = 0*l**u + 2*l - 4*l**2 + 2*l**2 + 1 + 2*l. Determine o(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 9. Suppose 12 = -2*h - m*v, 3*h + 4*v = 4*h - 16. Suppose 16 = -4*o, -4*j + h*o + 76 = o. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -277, 5, 2 in decreasing order.\nAnswer: 5, 2, -15, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/47 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -174*q + 2. Let f be d(-2). Let h = f - 165. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1985978525 to the nearest integer?\nAnswer: 44564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45091 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgtq when four letters picked without replacement from {t: 4, n: 1, q: 2, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 874a - 402?\nAnswer: 8348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-14)\/z**12 assuming z is positive.\nAnswer: z**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 + -99. Let s = 183 - i. Let z = -4 + 8. Which is the third smallest value? (a) s (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.054 - 37.946. Let y = -35.9 - h. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -13, 25 in increasing order.\nAnswer: -22, -13, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 375 = -5*n, -2*n + 5*n = 2*o + 225. Suppose -4*h + n = h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2040 divided by -40\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-20)\/(-5))*(-4)\/44*1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -76*w + 2982. Suppose -s + 6 = -10. Calculate the remainder when u(38) is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - g + 14*g - 3*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341 or -258?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140 = 14*k - 33*k. Let i be (-4)\/24 - 14890\/k. Calculate the highest common divisor of i and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24211*a*v**2 - 27192*v**2 with respect to a.\nAnswer: 24211*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00081578381 rounded to five dps?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -2571 + 2594. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378963.\nAnswer: 3, 13, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -386*j - 408*j - 1051*j - 487*j as f + z*j and give z.\nAnswer: -2332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1376 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -19052732?\nAnswer: -1\/4763183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g**3 + 26*g**3 + 19 - 7*g**2 - 12*g**3 - 4*g**3 - 4. Determine h(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q**2 - 3*q)*(-2 + 2 - 1)*(67 - q - 169 - 85).\nAnswer: q**3 + 187*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-9)*((5 - 17) + 21). Solve 3*d - 14 = 3*t + c, 1 = 3*t + 2*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (41 + -16 + -38 + -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-744)\/18228 + 1376\/98. Solve -11*p = 5*l - x*p + 23, 3*l - 5*p = -17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 8001.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**4\/7 - 268*b**3\/7 + 1712*b**2\/7 - 1856*b\/7 - 3840\/7 = 0.\nAnswer: -1, 4, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -27. Let g = -1027 - -1033. What is the remainder when q is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + -5)**2 + (sqrt(34)\/sqrt(2))**2*6.\nAnswer: -10*sqrt(17) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 5:38 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*f + 16 - 37, -2*v + 3*f + 3 = 0. Suppose q - 5*y + 7690 = v*q, -4 = 2*y. What is q rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*q**3 - 22*q**3 + 37*q**3)*(-2*q**2 + q**2 + 3*q**2).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 5 + -8 + 7. Sort -5, 8, g, 2 in ascending order.\nAnswer: -5, 2, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 35. What is p(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (650\/(-125))\/((-4)\/30). Let z = s - 189\/5. Factor -z*o**3 + 0*o**2 + 6\/5*o + 3\/5 - 3\/5*o**4.\nAnswer: -3*(o - 1)*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12241817 to the power of 1\/2, to the nearest integer?\nAnswer: 3499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*b = -2*b + 8, -5*n + b = -5. Suppose 0*o - n*o = -12. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 107192898890509 and 4.\nAnswer: 107192898890513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*z + 11 = 0, -b + z = -5*b + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 7*h**2 - 3*h + 7. Let z be q(5). Let n = 59 - z. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 91 = r, 4*r + 3*y + 51 = 109 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8 times 297896.5?\nAnswer: 2919385.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*a - 10 - 22, -4*a - 8 = z. Let o be 3 - z - (-2 - -1). Solve o = 5*w + j + 24, w = -4*j - 4 - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -16*l + 8\/5*l**5 - 1\/3*l**6 + 90 - 1\/2*l**4 + 20*l**2 - 28\/3*l**3. Determine t so that w(t) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1363 > -79070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-43 - (5 + 39 + -190)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850295005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-12238532.\nAnswer: -6119266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from gmfmgfmfffffgg.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 31. Solve -d*h - 3*t - 5 = 2*t, h - 5*t = 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -282\/113 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653092987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 + 17*q + 21. Let k(s) = s**3 + 4*s**2 + 2*s + 3. Let n be k(-5). Let j = -14 - n. Calculate the least common multiple of g(5) and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c - 455 = -1881. What is the remainder when 171 is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0 + 0)*1)\/(12 - 11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -118. Let q = -18.65 - o. Round q to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -628 + 628. Let y(k) be the second derivative of 0*k**2 + q - 5\/6*k**3 + 5*k. Let h(o) = -2*o**2. Give h(y(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002147411588 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*k - 209, 4*v - k - 227 = -0*k. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15ab7 (base 14) in base 12?\nAnswer: 27495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -248d - -2?\nAnswer: -248b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.8266 and -105902?\nAnswer: 105901.1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0.3. Let z = k - 0.5. Let m = z + 1. Sort m, -1\/3, 0.4 in ascending order.\nAnswer: -1\/3, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 - 6*k**2 + 8*k - 21. Is l(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38758 = -1683*i + 23513 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 375*v**2 - 9402*v - 128. Determine r(-27).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 23 - 264 + 48 + 41 + 2511*q - 2513*q.\nAnswer: -2*q - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*o - 7*o**2 + 12*o**2 - 2*o**2 - 958*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3398, -7230, -13600, -22508?\nAnswer: -33954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:11 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-117)\/(-6))\/((-3)\/(-8)). Differentiate -r*d + 3 - 54*d + 106*d + 8*d**3 wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 8. Suppose -4*p + 3*t = -220, -4*t = u*p - t - 92. Suppose 2038 = -37*o + 6848. Calculate the highest common factor of p and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4 + 7*o**2 + 22*o + o**2 - o**3 + 23*o - 43*o. What is the lowest common multiple of w(6) and 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 77*r**2 + 4*r + 1. Let c be 620\/(-14) - (-1 - (-15)\/21). Let o = c - -46. Is b(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7579020?\nAnswer: 2, 3, 5, 126317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.032 equal to -0.0174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60.21128 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 357, 500, 643?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 620*k + 1423. Is i(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - w**2 + 7 + w**2 - 40*w**3.\nAnswer: -40*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 + q. Let a(p) = 109*p**3 + 5*p**2 + 4*p - 1. Let m(x) = -a(x) + 3*o(x). Let f be m(-1). What is the tens digit of 2 + 1 + 0 - (-19 - f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 21) + -28 + 17\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 3*k**2 - 4. Let j be -21 - 0 - (6 - 8). Let p be j\/(-114) + 58\/12. Let i(f) = f**3 - 6*f**2 + 5*f + 4. Let a be i(p). Calculate c(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 7. Suppose 0 = 3*s - 87 + 33. What is the remainder when n(-6) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 236464\/11 or 0.6?\nAnswer: 236464\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155.2 + -154.8. Sort -3, -1\/2, 9, l, -2\/109 in ascending order.\nAnswer: -3, -1\/2, -2\/109, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -6)*17\/34. Solve 3*i - 4*b = -t - 1, 5*i + 16 = 2*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(5)*1) + sqrt(13))**2*6 + ((-3 + sqrt(325))*-1)**2.\nAnswer: -30*sqrt(13) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + s - 128 = 0. Let u(f) = f**3 + 21*f**2 - f - 13. What is the least common multiple of s and u(-21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6) + (-1)\/((-30)\/(-20))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/2 - 3*v**2\/2 + 6*v. Find the first derivative of g(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8*x + 915000 = 3*u, -3*x = 0. Round u to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06353? (a) 0 (b) 0.393 (c) -1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**(11\/5)*x\/(x\/x**(-1\/7)*x)*(x**(-2)\/x)\/(x*(x\/x**(-16\/3))\/x*x) assuming x is positive.\nAnswer: x**(-764\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 22 = -8. Put -0.8, a, -4, 0.1 in decreasing order.\nAnswer: 0.1, -0.8, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2096606016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -2203?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -2\/3, 0.6.\nAnswer: -2\/3, 0.6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16873600 rounded to the nearest 100000?\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.06129237 - -0.06130637. Let g = -8 - j. Round g to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9)*u\/(u\/(u\/(u*u*(u*u**(2\/21))\/u))))\/(u**(6\/11)*u**(7\/5)) assuming u is positive.\nAnswer: u**(-8996\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/172880729 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r - 25, z - 3*r + 10 = 0. Solve -z*j - 4 = 2*q - 16, -q = -j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 3. Let x(m) = 5*m + 10. Let k(r) = 16*r + 34. Let o(b) = 3*k(b) - 10*x(b). What is -10*o(a) - 6*p(a)?\nAnswer: -10*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -37.980293\nAnswer: 227.881758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/12 (b) -6 (c) -4\/5 (d) -1 (e) 1512039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a - 13*a + 2*a + (-3 + 3 + a)*(72 - 170 + 1471) as p + g*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -1\/678 (b) -4 (c) 3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 32 = 24 - 80. Solve 15 = 5*d, -3*d = 2*b + d - x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-876)\/(-7592) - 725\/(-26).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-804)\/603*8\/(3720\/45)\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172083604 and 12529?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-1517*k - 1270 + 2549 - 1275).\nAnswer: -3034*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/6 (b) -4\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 6*p = -2*d + 3870, -4*d = p - 7712. Calculate the highest common divisor of d and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 9\/1108789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = 454. Let d be r\/(-4) + 0 - (-21)\/42. Suppose m - 5*u - 471 = 0, m - 389 = -3*u + d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 20575510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**3 - 30*d**2 - 55*d - 32. Let y(a) = -22*a**3 - 90*a**2 - 165*a - 97. Let n(l) = 7*j(l) - 2*y(l). Factor n(k).\nAnswer: -5*(k + 1)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175551 + 121*w**3 - 175556 + 351111.\nAnswer: 121*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 1. Let l(f) = 5*f - 2. Let w(m) = 3*l(m) - 4*o(m). Suppose 0 = -4*z + 5*j - 25, z + 14 = 3*j - 1. Calculate w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 79. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = 5*v, 0 = -5*j + 4*j - 2*v + 2. Suppose -j*r + 17 - 5 = 4*g, 0 = 5*g - 2*r - 43. Calculate the highest common factor of 77 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-14))\/((-3)\/((-105)\/5)). Let o(q) = -677*q + 4. Let l be o(n). Round l to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**2*w*x**3 + 3*i**2*x - 38*i*w*x**3 - i*x**3 - x - 168 wrt w?\nAnswer: -2*i**2*x**3 - 38*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4 - 1548*z**3 - 256698*z**2 - 4250232*z - 18574920 = 0.\nAnswer: -546, -210, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4695 + 120*z**2 - 4695 + 2*z**4 + 36*z**6 wrt z?\nAnswer: 4320*z**3 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 9. Suppose 59 + 4 = -7*k. Let x be u(k). Solve x = -t - 5, 0*d - 3*d = -2*t + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 6*t**2 + 0*t**2 - 18*t - t**3 + 10*t**2 - 4*t**2 - t**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p**2*p)*p*p*p*p*p)**(1\/13))**(-5)*(p\/p**1*p)\/((p*p\/p**(-2))\/p*p)*(p**3\/p)\/(p*p\/(p*(p**(2\/7)\/p)\/p)) assuming p is positive.\nAnswer: p**(-513\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 5*q**2 - 6*q - 3. Let l be t(-4). Suppose 0 = x - 3*b - 30, -l*x + 2*b = 21 - 145. Calculate the greatest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -75*a - 25. Let l(y) = 25*y + 8. Let u(p) = -3*c(p) - 10*l(p). Is u(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*d + 13 = 2*c, c - 2*d + 23 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7123 - 85357\/12. Find the common denominator of 24 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 1\/3, -327, -4, -2\/11, 77?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -26468\/3663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9872.22um to centimeters.\nAnswer: 0.987222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 20, 17, 10, 4, 1.\nAnswer: 1, 3, 4, 5, 10, 17, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.6 and 5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 6. Let t be o(4). Suppose 3*u = 2*n + 97, -t = 5*u - 2*n - 165. Calculate the remainder when 83 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 2608.\nAnswer: 28688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 + 7*i**3 - 73203 + 73203 + 7*i. Let v(d) = -6*d**3 - 5*d**2 - 7*d. What is -6*v(h) - 5*x(h)?\nAnswer: h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93\/14 - 139\/7. Let s = -30 + 4. Let g = s - k. Which is smaller: g or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407813 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/34 + 252\/408)*0. Suppose t = -9*x - 10*x + 4883. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*y = 56*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -758.\nAnswer: -151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 10:53 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 22*o = 1005. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q + 122 = -2*a, q = -2*a + 61. Calculate the highest common factor of 17 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 2*v**2 + 2*v**3 - v**3 + 4*v as t*v**2 + u*v**3 + y + n*v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = -5*v, -2*v = -6*v - h + 4. Sort 5\/2, v, 2, 3 in decreasing order.\nAnswer: 3, 5\/2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 158. Let m(n) be the first derivative of 3*n**2\/2 - n + 1. Determine m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2190033348 and -1.4.\nAnswer: 2190033346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - -79 - (-3 - -2 - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*n + 15, -43*h + 72*h = -7*n + 31*h - 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s + 74. Calculate v(-46).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*g**5\/5 - 84*g**4\/5 - 22*g**3\/5 + 12*g**2\/5 - g\/5.\nAnswer: -g*(g + 1)**2*(7*g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 1\/60*m**5 + 0*m + 0 + 2\/3*m**3 - 2*m**2 + 1\/24*m**4. Suppose k = -3*k. What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(-4))*u**(-10))\/((u\/(u*u*u\/u**(3\/10)))\/(((u\/(u**(-2)\/u))\/u)\/u)))**5)**44 assuming u is positive.\nAnswer: u**(-2266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/18 and -2\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28914921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**4 + 5*s**4 - 5*s**4)*(-7*s + 7*s + 11*s) - 3*s**5 + 10*s**5 - 2*s**3 + 0*s**3)*(4 + 7 - 3).\nAnswer: -32*s**5 - 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/2 - 23919*c**2 - 47836*c = 0.\nAnswer: -47836, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/6)\/((-6)\/(-8)). What is the second derivative of 17*r + 2 - 18*r - 2 - r**g wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 471970 and 26705?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103950 and 51975?\nAnswer: 103950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576388 is divided by 115277.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = -3*i + 2, 0 = -i - 4*b + 6. Solve -6 = -m + 4*a - 2, -4*a = i*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054 + -7.8680626?\nAnswer: -7.8140626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -115324, 2, 1 in decreasing order.\nAnswer: 2, 1, -2, -3, -115324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 94, 151, 212?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108566 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 729 and 3483?\nAnswer: 31347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - -14 - (0 + -1)*1. Solve l*r + 45 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)*m)**(-16))**(-14) assuming m is positive.\nAnswer: m**(672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.16 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffv when three letters picked without replacement from {v: 6, n: 6, f: 5, c: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3774 + 5412. Find the common denominator of (-15)\/(-63)*38\/(-10) and (-2)\/(-13) + (7 - 13265\/z).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24236 + 5?\nAnswer: 2423b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7*b + 9)*(2 + 1 - 1).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f - 841. Let a be r(-46). Which is smaller: a or -475?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13745, -13723, -13691, -13643, -13573, -13475, -13343?\n\"Answer: y**3 - y**2 + 18*y - 13763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - 3*y + 3. Let a be h(-3). Suppose -33 = -4*i - a*g, 2*i + 2*g = 3*i - 22. List the prime factors of 0\/(0 + -3) + i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*p - 18 = r, -r - 3*p = -17. Let v be (-3)\/15 + (-93)\/(-15). Suppose 0 = 8*b - 10*b + v. Calculate the greatest common factor of b and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(8\/14 + (-15748)\/(-3556)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2)*(q*(q**(2\/23)\/q)\/q)\/q*q)\/((q*(q*q**(-4)*q*q*q)\/q)\/q*q*q**(-2\/7)*q)*((q**(-1)*q)\/q**(1\/10))\/(q\/q**0)**(10\/3) assuming q is positive.\nAnswer: q**(-29273\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*c*n**3 + 2*a**2*n**3 + 14*a**2 + 2*a*n**3 - 10*c*n**3 with respect to c.\nAnswer: -4*a**2*n**3 - 10*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4 - 0. Let q(l) = 4*l + 4. Let d be q(4). Suppose -d = -3*t + 1. Calculate the greatest common factor of r and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.7 + 6.699999071. Round x to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -188101875.545 and 0.134.\nAnswer: -188101875.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/1 - (-1 - 1). Let w be ((-16)\/(-140))\/(b\/(-5)). Let n = -454.7 - -450.7. What is the closest to 0.1 in 0, w, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-6))\/((-1)\/((-1)\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l - 827 + 71 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2752*k - 2759*k + 6518*k - 2225*k to s + t*k and give t.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 + 2*u**2 - 2 + 3 - 7*u**2. Let m(o) = 2*o**2 - 1. Determine -c(s) - m(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.036 - 35.036. Let g = n + 35.00082. Round g to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1444*d - 769*d + 1.\nAnswer: 675*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202210202 - -1002?\nAnswer: -202202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127741717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3097*c**2 + 40*c - 7728. Let a(v) = 3097*v**2 + 60*v - 7727. Let x(r) = 2*a(r) - 3*l(r). Find the first derivative of x(h) wrt h.\nAnswer: -6194*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34322 divided by -17161.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 48*u**2 + 1303*u - 9. Give r(-27).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41562 by -13854.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*o - 55, 3*o + o = -5*d + 51. What is the third derivative of d*y**6 + 25*y**2 - 45*y**2 + 24*y**2 wrt y?\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 42. Let f be (3 - 3 - -1)\/p*-1. What are the prime factors of (0 - f\/(-2))\/((-37)\/5476)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56, -109, -170, -239, -316, -401, -494?\n\"Answer: -4*z**2 - 41*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + 3 + -5 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44528 and 1213388.\nAnswer: 4853552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1045 - 540. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24630 and 121?\nAnswer: -2980230","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4860*h**2 - 2765*h**2 - h**4 - 2532*h**2 - 438*h**3.\nAnswer: -h**2*(h + 1)*(h + 437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10013220 + 31310122?\nAnswer: 101330002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/424 and -63\/148.\nAnswer: 15688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -871, -3491, -7857, -13969, -21827, -31431?\nAnswer: -42781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*p**3 + 127*p**3 + 7*p**2 - p**2.\nAnswer: 205*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*x - 8, -2*x - a - 9 = -6*x. Let y(r) = 10*r + 7*r + 6*r + x - 9*r. Is 13 a factor of y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335836, 335834, 335824, 335800, 335756, 335686, 335584?\nAnswer: 335444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -94713103 greater than -94713101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -0.37. Let s = 3.6 - k. Let p = s - 4.5. Which is the second biggest value? (a) p (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2163112 by 38627.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, -1, 98.\nAnswer: -4, -3, -1, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212463024 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 35*x**3 - 3*x**2 - 68*x + 138. Let c be b(2). Calculate the highest common factor of c and 3870.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48716475 and 2261.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 280, 312, 364, 442, 552, 700, 892?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 458 - 229 - 1242*f**2 - 231 + 838*f**2 - 3577*f**2 as s*f**2 + x + j*f and give s.\nAnswer: -3981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 <= 2\/1297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-136)\/(-5)*(-6 - -6 - -20). Let z = q - 277. List the prime factors of z.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b. What is the third derivative of d**4 - 2*d**2 + b*d**2 + 2*d**4 wrt d?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 96.2. Let v = 28.31 - -8.99. Let p = y + v. Round p to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8351?\nAnswer: 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31552320 (base 6) to base 8\nAnswer: 3435030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92319 - -5?\nAnswer: -92314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m + 434. Let t be s(-33). Calculate the highest common factor of t and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/12205 and 55\/8.\nAnswer: 97640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 16*u**2 + 268*u - 440.\nAnswer: -4*(u - 5)*(u - 2)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2813 (b) -4 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*z - 30 = -97*z. Calculate the remainder when (-6)\/(-2 + 1) - 0 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/48 + m**3\/24 - m - 1. Let r(c) be the first derivative of q(c). Factor r(x).\nAnswer: -x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.6 + -1.4. Let i = f - -14. Let z = 6\/43 - -19\/172. Sort -6, 0.3, z, i.\nAnswer: -6, i, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 5*w + 4. Give y(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m**3 - 3*m**3 + m**3)*(m - 3*m - m) + (-13*m**2 + 13*m**2 + 30*m**3)*(-10*m + 13*m - 12*m) in the form u*m**4 + o*m**3 + q*m**2 + d*m + r and give u.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 30219*u - 23890. Let r(p) = -4318*p + 3413. Let z(y) = -29*r(y) - 4*w(y). Find the first derivative of z(t) wrt t.\nAnswer: 4346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 5*p**2 + 3*p - 5. Let f be v(5). Suppose -2*b + 16 = 4*m, 3*b - 20 = -2*m - 3*m. Calculate the greatest common divisor of f and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**6 - 281425*s**5 + 6*s**3 - 3*s**2 + 34*s + 4640 wrt s?\nAnswer: -600*s**3 - 16885500*s**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 37 - 2 = -5*m, -2*m + 2*h = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = 4*x - 85. Let h = -62 - x. Which is smaller: h or 5\/48?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y + 0*y - y)*(-480*y**3 - 174*y**3 + 135*y**3).\nAnswer: -3633*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34181, -136638, -307375, -546392, -853689, -1229266?\n\"Answer: -34140*f**2 - 37*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1164 (b) -1 (c) 3\/4 (d) 0.3838\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -147\/33640 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c17cdb0 - -1?\nAnswer: -2c17cdad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 30*g**2 - 132*g - 132. Let i be f(34). Let o be (-1)\/6 - 244\/(-24). What is the greatest common divisor of i and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13041554, 52166233, 117374030, 208664945, 326038978, 469496129, 639036398?\nAnswer: 834659785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -20 + (73 - (-5 - 1)) + -16.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 19. Let a be d(8). Suppose a = 6*y - 17. Let g = y + 55. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/7 + 97413*v**2\/7 + 194835*v\/7 + 13917.\nAnswer: -3*(v - 32473)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 11. Let w be (-2 + -6)\/(q\/(-4)). Suppose 0 = r + m - 16, -3*m - w = -r - m. Calculate the remainder when 45 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 21*t + 8, 2*j + 3*t = 7316. List the prime factors of j.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1540 is divided by 762?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 + 658*k + 32280 = 0. What is k?\nAnswer: -269, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-1)\/(-5)*(-8)\/(-76).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1 + -1) + 3. Suppose -h*n + 63 = -57. Let c = n - 25. What is the greatest common divisor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 1415*v**4\/12 + 305*v**3\/2 - 504*v. What is the second derivative of u(n) wrt n?\nAnswer: 2830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/5 - 4*r**4 + 32*r**3 - 128*r**2 + 6*r. Factor s(c).\nAnswer: 4*(c - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-16)\/(-10) + (-4)\/(-10) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o + 8. Let u(b) = -18*b - 23. Let k(z) = -8*a(z) - 3*u(z). Let m(v) = -3*v - 3. Let q(l) = 3*k(l) + 5*m(l). Let t(f) = 4*f**2. Give t(q(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 31. Let b = -19 - s. Solve -4 = b*k, -3*d - 3*k - 21 = -0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.6. Let y(b) = b**2 + 14*b - 16. Let s be y(-15). What is the second biggest value in s, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m - 3*m)*(2 - 2 - 2*m**3) + 3*m**2 + 2*m**4 - 3*m**2 + 2*m**4 - 5*m**4 + 0*m**4 + (2*m**3 - m**2 + m**2)*(0*m + 3*m - 4*m) + 9*m - 9*m - 5*m**4.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 226, 225, 224, 223?\n\"Answer: -p + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -218220 divided by -21822\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0794 and -0.8?\nAnswer: 0.7206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 7 - 52. Let r(f) = -f + 10. Let t be r(i). Solve 2*x = -3*b + t, -x + 6*b - b - 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3. Let m = -63 + 62.9. Let j be (-4)\/6 + 1\/(-3). What is the closest to u in -1\/12, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028*a - 1026*a - 4*i - 26 = 0, 37 = 5*a + 4*i for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 439215*j**2 + j + 438206*j**2 to the form m + f*j + l*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 467439 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: Which is the second biggest value? (a) -5 (b) 4\/5 (c) 2\/19 (d) 1\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -4*a**3\/3 + 1. Let g(r) = 9*r**2 - 4*r - 8. Let m(y) = 80*y**2 - 35*y - 70. Let o(h) = -35*g(h) + 4*m(h). Calculate i(o(j)).\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/14696 and -39\/23136848?\nAnswer: 254505328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*(-24)\/(-160)*4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 18*d + 9 - 6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.17401m?\nAnswer: 717.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33452151.\nAnswer: 3, 43, 211, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*z**2 + 6*k*z + 53330*k + 5840*z**2 with respect to z.\nAnswer: -4*k*z + 6*k + 11680*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 27. Let m be l(11). Suppose v - 11 = 5*h - v, -4*h - v - 1 = 0. Sort h, -2, m in descending order.\nAnswer: m, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 42. Let k = 287\/138 + 2\/23. Let s = 4\/3 - k. Which is the closest to 1? (a) y (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 382 + -371. Let u(b) = b**2 - 14*b + 41. Let z be u(v). Let r(l) = 4*l - 8. Let a(o) = -3*o + 5. Give z*a(s) + 5*r(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.4 + -33.400377. Round c to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Let b be 0 - p - (-19 + -1). Suppose b = i + 8. What is the remainder when 22 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*1\/6*(-40)\/340*-51.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/(295\/(-354)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39048 (base 14) to base 5\nAnswer: -13440013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3498058.\nAnswer: 2, 1749029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-465)\/(-114))\/((-3)\/(-4)). What is the third biggest value in 1, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/801960 and -149\/120294.\nAnswer: 2405880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 14 - -9) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3334, 8665, 15984, 25297, 36610, 49929, 65260?\nAnswer: 82609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 27 - 15 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-58 - -62)*(-6)\/(-8). Suppose 9\/5 - h**2 + 3\/5*h + 1\/5*h**j = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -4, -187?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 35*d**2 + 78*d + 2233. What are the prime factors of c(-27)?\nAnswer: 2, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogdd when four letters picked without replacement from onyddgd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (832\/(-224) - -5) + (-5)\/(-7). Solve i*j - 2*h + 18 = 0, -5*j - 407*h - 3 = -406*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 122.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1680, 3373, 5068, 6765, 8464, 10165, 11868?\nAnswer: 13573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-18 - 0) - (-39 - 2)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 + 177*i**2 + 43*i - 30. Give h(-44).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142 - 50. Let g = y + -88. What is the third derivative of -34*q**g + 19*q - 37*q + 18*q - 6*q**2 wrt q?\nAnswer: -816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.1 - 23. Suppose -75 + 79 = -4*h, -y + h - 4 = 0. What is the second smallest value in y, -17\/5, u?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 98 in 0.5, -0.2, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + x + 293 = 0, 287 = d + 4*d - 4*x. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 437900.48 - 170.\nAnswer: 437730.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 33*d + 255 - 247 = 32*d, 51 = -5*r - 2*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5446 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 3*d - 886. Is 8\/4*-1 + d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2 - 363*p**2 + 363*p**2 + p**4 + 6*p + 2*p**3 to k*p**2 + y + t*p**4 + c*p**3 + b*p and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 40 = -4*f, -2*f - 2*b = -63 + 23. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2035, -2055, -2077, -2101, -2127?\n\"Answer: -n**2 - 17*n - 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*z + 26 = -67*z - 3*y, 3*z - y - 18 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5587 + 5593. Let k be 6\/(-39) + 41\/13. Suppose 3*v = -r + k, -2*r + 2 - 12 = -2*v. Solve v - z = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + 2. Let i = 20 - d. Factor -b**3 + 0*b - 8*b + 5*b**i + 4*b.\nAnswer: 4*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {e: 10, u: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440.9 millimeters to centimeters.\nAnswer: 44.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-182398 - 33*a + 182398)*(-2*a + 0 + 0) to h + o*a + q*a**2 and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*145\/4263*21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 31127.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18006.1521 - -0.2?\nAnswer: -18005.9521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9913190.556 to the nearest 100000.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -5 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 171?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*v**5 - 49*m**2*v**3 - 3*m**2*v - 4*m*v + 8*v wrt v?\nAnswer: -20*m**2*v**3 - 294*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) -3\/8 (c) -0.2241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2646 - 2658. Let l = -163 - -812\/5. Which is the third biggest value? (a) l (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6613 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514595697 divided by -500093.\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, u: 10}. Give prob of sequence uwuu.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757781 is divided by 90?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (14 + 5)\/(2\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255 (base 6) to base 4.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -368 + 800*j - 4*j**4 - 492*j**2 + 17*j**3 + 96*j**3 - j**3 - 48*j.\nAnswer: -4*(j - 23)*(j - 2)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 2*b - 2. Calculate a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(12\/(-21))*800\/(-980). Which is the nearest to r? (a) 0.3 (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2452463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1618 + 1610. What is the closest to a in 2\/5, -7, 3, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 92, 139, 186?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(1 - 7)*15. Suppose -1374 = -s*j - j. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 14. Let b be j(10). Let n = -2 + b. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181008773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.078 + -0.066. Let l = -0.074 - m. What is l rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70\/11 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -10 + -5 + -1 + 25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(27))**2 + sqrt(3)*-2*-1.\nAnswer: 20*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34113456 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*x + 897 = -68*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 1254?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, -0.1, -1\/3, 2425, -0.044?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 531 - 530. Put -84, 0, 5, v in decreasing order.\nAnswer: 5, v, 0, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:45 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1480 divided by 5\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.346 - 21.654. What is the third smallest value in 4, -1\/5, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -390, -5 in decreasing order.\nAnswer: 2, -5, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4117556 and 30304?\nAnswer: 32940448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -9387?\nAnswer: -9385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**2. Let f(q) = 10*q + 42. Determine k(f(u)).\nAnswer: -600*u**2 - 5040*u - 10584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/12 + 54710\/(-60). List the prime factors of (-2)\/3 + w\/(-18).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -21b7ab2?\nAnswer: -21b7aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11 - 38188*h + 38188*h - 7*h**2. Let m(s) = 4*s**2 + 6. Calculate -11*m(z) - 6*u(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -0.01, -0.15, 4.\nAnswer: -49, -0.15, -0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l - 7 + 7 + (9 - 9 - 3*l)*(-3 + 1 + 0) + l - 6*l + 2*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30016d (base 14) to base 11\nAnswer: a0249a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 3. Let x = h + -9.3. Which is the closest to 0.2? (a) -1\/4 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 11, 30, 67, 128, 219, 346?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 3.5, -2\/11, 0.1 in ascending order.\nAnswer: -4\/9, -2\/11, 0.1, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159100 and 1184.\nAnswer: 1272800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/106 and -13\/4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 145*m**2 - 430*m - 559. Determine f(-142).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -108860?\nAnswer: -108860.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.97218 times 19\nAnswer: -18.47142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 95.9.\nAnswer: -1726.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290 and 284?\nAnswer: 41180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1405332646*y**2 + 312*y - 21859 wrt y.\nAnswer: 2810665292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -22.8. Let n = -2 + i. Let y = 2.8 - -0.2. Which is the nearest to n? (a) 1\/2 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m - 73. Give s(-20).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/(-2))\/(19\/38). Let x(m) = -3*m + 53. Let j be x(q). Solve j*a = -0*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5619456 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-132)\/(-30) + (-2)\/5. What is the greatest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/515 and -157\/3090.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(242)*-3)**2 - sqrt(242).\nAnswer: -11*sqrt(2) + 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -10*u**2. Let i(p) be the third derivative of 0*p**4 + 0*p**3 - p**2 + 0*p + 0 + 1\/30*p**5. Give w(i(o)).\nAnswer: -40*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -5. Let z = -37 - -45. Calculate the remainder when s is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, -0.147, 1\/4, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - p - 57 = 0, 3*u - 32 = -5*p + 19. Let m be (2 - (-1)\/2)*12. What is the highest common divisor of m and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(7\/(-4)) + -67. Let x = s - -45. Let r = -2 - x. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23963 + 24515.16. What is h rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -5, 5, -2 in decreasing order.\nAnswer: 5, -2, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 19*(-10 + -3). Let n(y) = y**3 + y**2 - y - 2. Suppose 4*c = c + 9. Let q be n(c). Calculate the greatest common divisor of l and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {i: 11, w: 1, h: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1781*x - 1784*x + 8805 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73644 is divided by 7936?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145248949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/((t\/(t\/t**(-22)))\/t))\/((t*t*(t\/t**5)\/t)\/t)**(-43) assuming t is positive.\nAnswer: t**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46471344.53 + -15987146.17. Let a = 30484215.35999971 - h. Let s = a - 17. Round s to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139186 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-33) + 278938\/(-42945).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d)\/d**(-11)*(d*d**(2\/9)*d)**(-4\/19) assuming d is positive.\nAnswer: d**(8059\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 + 264 = 41*r + 399 + 1245 for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (1 - -4))\/((-3)\/3). Suppose 3 = -0*t - 3*t, 4*d = t + 1. Let o be 27\/216 + d\/l. Put 16, 0.1, o in decreasing order.\nAnswer: 16, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 10*o + 13)*(o - 4*o + o - 4 - 2*o + 4 + (o - 4*o + 5*o)*(-2 - 2 + 2)).\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, w: 6}. What is prob of sequence wwkw?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 2:09 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**9\/40320 + 3*u**8\/17920 + 11*u**4\/12 + 11*u. Let t(w) be the third derivative of r(w). Factor t(v).\nAnswer: 3*v**3*(v + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -63)*(-2)\/(-9 + 29360\/3265)?\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/3*2\/4*(-113)\/904.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -22aad5?\nAnswer: 22aad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**4 - n**2 + 206*n**3 - 231*n**3 + 99*n**3 - 2*n**4 to a*n + h*n**4 + g*n**3 + b*n**2 + u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.422631712 rounded to five dps?\nAnswer: -0.42263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/81 and 44\/14139.\nAnswer: 127251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 5*z**2 - 3*z - 14. Let l be a(-4). Solve -l*f = -19*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-414)*(15\/6)\/((-15)\/(-18))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -5. Let c = 3 + h. Let b be 1042\/4*c + 1. What is b rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k, r + k + 2 + 2 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 3. Let f(b) = -1. Calculate -3*f(d) + x(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let v = 251 - 251.5. Which is the nearest to z? (a) v (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 - -8 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/14)\/p*p*p**(8\/3)\/p*(p**(2\/7)\/p)\/(p\/((p\/(p**9\/p)*p)\/p)) assuming p is positive.\nAnswer: p**(-305\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j - 60 = 0. Let i = 40\/3 - j. Let d be 9\/(-27)*1\/1. What is the nearest to d in 2, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83983990 rounded to the nearest 1000?\nAnswer: 83984000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2405114, -4810296, -7215478, -9620660, -12025842, -14431024?\n\"Answer: -2405182*r + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 48079.\nAnswer: 6\/48079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9186 = 5471. Let n = -1357 + q. What is n rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z + 4. Let f(v) = -20*v + 11. Let u(n) = 11*a(n) - 4*f(n). Let g(q) = -2*q. What is u(g(x))?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 113, 74, 13, -64, -151?\n\"Answer: j**3 - 17*j**2 + 5*j + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71140 is divided by 60.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u - 3. Let f be d(3). Suppose -q - 39*v + 38*v = -15, 2*q - 25 = 3*v. Put f, -4, q in decreasing order.\nAnswer: q, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00561597299 to six decimal places.\nAnswer: -0.005616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u + 106. Determine o(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6910.371 litres in millilitres?\nAnswer: 6910371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130476 divided by -4?\nAnswer: 32619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2 - 0)\/(195\/(-845))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 3*o - 592 - 12*o**2 + 5*o**2 + 2*o**2.\nAnswer: 3*o**3 - 5*o**2 + 3*o - 592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100098 = -307*x + 1297778. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*a - 23, 3*a - a - 13 = 3*m. Suppose 5*y + 35 = -4*v + 278, 0 = a*v - 5*y - 270. What is the least common multiple of 27 and v?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(63)*2 + sqrt(3500)\/sqrt(5) + 1)**2 + -1.\nAnswer: 64*sqrt(7) + 1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/3)\/(2*24\/32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -813.4 - -1201.5. Let m = 388 - k. Which is smaller: -83 or m?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.1 or 9852?\nAnswer: -19.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m + 40 = 0. Do -9 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3445*k**2. Let x(s) = 2*s - 13. Let r(v) = 13. Let f(w) = r(w) + x(w). Determine f(l(q)).\nAnswer: 6890*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(5\/(-6)))\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 10*a - 6. Suppose -g + 1 = -8. Let q be y(g). Suppose -2*c - 3*c + 135 = 5*u, q*c + 5*u - 75 = 0. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duppduup. What is prob of sequence upu?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(5*(sqrt(242) + 3)**2*2*-4 + -4).\nAnswer: 5280*sqrt(2) + 20088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 8, w: 3}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87350 = -37*d - 14941. List the prime factors of d.\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26017766 divided by 13008883?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.2. Let f be (-9)\/6*4\/(-14). What is the closest to -1 in z, f, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 = 1. Suppose 5*u - 16 = p. Solve -l + 1 = -5*l - 3*c, -1 = 5*l + u*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 1, l: 1}. Give prob of picking 1 l and 2 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-14)*21*(-19)\/(-114)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 686, -1222, -5726, -12832, -22546, -34874, -49822?\n\"Answer: -a**3 - 1292*a**2 + 1975*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*x + 1)*(2 + 2*x - 2) - 4 - 14 - 1572*x**2 + 1552*x**2.\nAnswer: -14*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = 5*c - 10*f - 13, 0 = -c + f + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/308 and 29\/21.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*y + 1246 = -1148. Solve y = 2*i - m, 174*m = -3*i + 175*m + 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -7197933692.\nAnswer: 7197933692.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 85 + 45 = 0. Let s = z - 27. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 393, -146, -243 in decreasing order.\nAnswer: 393, -146, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1840.9 to the nearest ten.\nAnswer: -1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34417458, -34417454, -34417448, -34417440, -34417430, -34417418, -34417404?\n\"Answer: p**2 + p - 34417460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*h**3*u**2 - 13*a**2*h**3*u + 6*a**2 - 2*a*h**3*u**2 + a*h**3 + 194*a*h**2*u - h*u**2 wrt a?\nAnswer: 4*h**3*u**2 - 26*h**3*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 6 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 447.761.\nAnswer: 35.82088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 18079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 31. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y**2 + 4*y. Let r(j) = -15*j**2 - 4*j + 1. Let v(i) = 4*g(i) + 3*r(i). What is the remainder when v(-2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 333228 and 821169?\nAnswer: 22992732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 2. Let p(s) = 28*s - 24. Let x(n) = 12*b(n) + p(n). Let l(o) = 11*o. What is l(x(d))?\nAnswer: -88*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 9*z**2 - 12*z + 15. Let q be x(10). Let f(p) = p**3 + 4*p**2 - 6*p - 5. Let t be f(q). Solve -2*v = -3*v + 4*i - 15, -3*v + 2*i + 5 = t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-4)*52\/(-13). Suppose 0 = -t - 4 + x. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1094 and -38\/2405?\nAnswer: 2631070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000609180068 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213390 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/6, -23.5807, -3 in increasing order.\nAnswer: -23.5807, -3, -0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 59. Let r(x) = 2 - x**3 + 0*x - 2*x - 4 + 2*x**2 - 3*x**2. Calculate the remainder when b is divided by r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7494\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 9, 4 in descending order.\nAnswer: 9, 4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 x when four letters picked without replacement from xxxbxxxbbxxxxx.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -54186.72 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 1\/(-1 + 0). Suppose 2*x = -5*m + 28, 0 = -5*x - p*m - 2*m + 36. Suppose -5*l + 7 = -x*l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millimeter in micrometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10 and (-75)\/9 - (-2)\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:05 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tknttttnuunuintin. What is prob of picking 2 u, 1 k, and 1 n?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40804?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 - -10100111?\nAnswer: 10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/((-4)\/(-12)). Suppose 0*d - h*d = -3*l - 22, 4*d + 5*l = 0. Solve -2*k + d*k = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.07, 0.043, -10397?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrquqqrlq. What is prob of picking 1 l and 1 r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169015.779 + 169411. Let x = 395 - u. Round x to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.23 + 6.03. Which is the closest to -1? (a) 2 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3200 and 12800?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 23 = 5*i - 3*b, b - 8 = 3*i. What is the third biggest value in -0.21, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79 + 1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2559*f**3 - 2559*f**3 - 65*f**4 - 3*f**4 - 4*f**2 + 4*f**2 - 2*f**4 - 4*f + 4*f + (-f - 2*f + 2*f)*(f**3 + 3*f**2 - 3*f**2).\nAnswer: -71*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*(-9)\/(-6) - -273. Suppose v = 5*l - 43. Let p = l + -58. Solve -8 - 12 = -p*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 29625*k + 266. Let x(r) = 9875*r + 94. What is -6*j(w) + 17*x(w)?\nAnswer: -9875*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7097, 7290, 7481, 7670, 7857?\n\"Answer: -t**2 + 196*t + 6902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1906081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 36 = -3*z + z, -o + 44 = -3*z. Let c be ((-2)\/(-68))\/(z\/(-64)). What is the third biggest value in 1\/2, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = -3*s + o, -3*s + 5*o + 412 = -28. Let b(j) = -j**3 - 100*j**2 - 389*j - 445. Let l be b(-96). What is the greatest common factor of l and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11588801, 11588760, 11588719, 11588678, 11588637, 11588596?\nAnswer: 11588555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let d(p) = -5*p - 5. Let g(o) = d(o) - 2*h(o). What are the prime factors of g(-11)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkwkkwwk. Give prob of picking 3 w.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t**2 - 10*t**2 - 23*t + 10*t + 15*t - 5 + 2*t**3 to the form w*t**2 + i + a*t + z*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 886303495 divided by 3?\nAnswer: 886303495\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjmjmxjmxjxmjmj. What is prob of sequence mjm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2870*z + 902*z - 3753*z - 274*z. Let l(t) = t**2. Give l(f(w)).\nAnswer: 35940025*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -895 + 897. Solve 4*g + 6 = -5*d, -5*d + 22 = k*g - 5*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2*x - 2*g*x**3 + 22*g*x**2 - 676*x**3 wrt g?\nAnswer: -4*g*x - 2*x**3 + 22*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7074191ug?\nAnswer: 0.0000000000007074191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 2*c**3\/3 - 614*c. Let l(a) = -2*a**2 - 76. Determine l(o(t)).\nAnswer: -32*t**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.76698255 and -2747.4?\nAnswer: 2735.63301745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/2, 0.1, 2\/19, -0.31469?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.11487422 to three dps.\nAnswer: 1.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {l: 1, n: 3, p: 4, m: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132 + 136. What is the smallest value in -0.064, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:12 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 - 420\/(-54). Let y(s) = s - 8. Let a be y(t). Let v = 15 - 11. Solve 5*f + 2*q = -2*q - 28, 3*f + v*q + 20 = a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 p when four letters picked without replacement from gggggggp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 4. Let z(j) = j**2 + 9*j - 7. Suppose 5*c + 8 = 2*a, 0*c = 5*a - 2*c - 20. Suppose -4*i - 33 = 2*h + 11, 2*h = -a. Let q be z(i). Give o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 106. Let k = -29.7 - y. Which is the smallest value? (a) 5 (b) 1\/4 (c) 0.5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:11 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 4*f**4 - 3*f**4 + 4*f**4.\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 714.79 + -718. Let s = -2.71 - x. Let q be (-2)\/(-1) + 5\/(-3). Which is the third smallest value? (a) s (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/15 - 6) + 18?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:51 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 117*r = 103*r + 52*r + 9028 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 183?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5\/4. Let l(n) be the second derivative of 0*n**2 + 0 + 1\/3*n**3 - n - t*n**4. Let y(x) = 7*x**2 - 4*x. Calculate -5*l(a) - 2*y(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**4 + 505*k**2 - 500 = 0.\nAnswer: -10, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12946*u**3 - 264*u**2 - u - 30943365?\nAnswer: 38838*u**2 - 528*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -285*t**3 + 4*t**2 + 5*t + 2. Let d be c(-2). Let w = d + 8621. Suppose w - 33492 = -11*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/9 + 2)\/((-80)\/(-144))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 5*c**2 + 13*c - 24. Let i be z(6). Suppose 9*o - i*o = -45. Calculate the greatest common divisor of o and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -52?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007528924111 rounded to seven dps?\nAnswer: 0.0000753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 1126*d - 22160. Give f(543).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 3. Let n be p(-4). Suppose 0*b + 3*b = 9. Solve n = 2*j - b*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2054*m - 2051*m - m**2 + 0*m**2 + 10. Determine o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 g when three letters picked without replacement from aggagggagag.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.828934l in millilitres?\nAnswer: 828.934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 - ((-8)\/(-8) + -8) and 2400?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11218 - 11984. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585 divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 985*u**5 + 163835*u**4 - 92*u**2 - 212553*u wrt u?\nAnswer: 59100*u**2 + 3932040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1670\/22957 or -2\/13?\nAnswer: 1670\/22957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*b = 9, b = 2*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2245 (base 6) to base 5\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -85*x**3 - 3*x**2 - 13*x + 12. Let o(v) = 28*v**3 + v**2 + 4*v - 4. Let h(d) = 2*b(d) + 7*o(d). What are the prime factors of h(2)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/15 - -7\/5. Let o(u) be the first derivative of m*u**3 - 1\/2*u**2 - u - 1. What is o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 22*t**2 + 3652*t + 3652. Calculate n(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = 3*y. Let h(u) be the third derivative of u**4\/24 + u**3\/6 + 2*u**2. Give h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 9 = -2*u - 3, -3*u + 15 = 3*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*8\/32*21)\/((-10)\/20).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**5 + c**5 + 0*c**5)*(-2 + 3 + 0 + (-3 - 3 + 4)*(0 + 1 - 2) + 5 - 4 + 0 + 1 - 3 + 0).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-645 + 1170 - 730)*(9 - 9 + q + (1 + 2 - 5)*(-1 + 1 + 2*q) - 2 - q + 2 - 2*q + q + 2*q) to r*q + w and give r.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*v**2 - 18*v**2 + 58 - 58 - 29*v**6 wrt v?\nAnswer: -3480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 55.7?\nAnswer: -222.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-17 - -6 - 0) - (-1 - 9)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yffyyfyyyyy. What is prob of picking 2 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110100 (base 2) in base 12?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/22 and (-4)\/10 - 882\/(-80)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/1*6\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(7056)*5)\/(-4*3*sqrt(28)*5).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*a*i**2*p**2 - 2608*a*i**2 - 2*a*p + 22*i**2 + 1452045*p**2 wrt i?\nAnswer: -38*a*i*p**2 - 5216*a*i + 44*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30676*o**2*x + 5*o*x**2 - 289726*x**2 wrt o.\nAnswer: 61352*o*x + 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35378 smaller than -35376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p = -3. Let c be -4 + 0 - -1*7\/p. What is the second derivative of 11*k**c + 9087*k**2 + 11*k - 9087*k**2 wrt k?\nAnswer: 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640212.\nAnswer: 2, 7, 58579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*g - 3. Let x be ((-42)\/(-10))\/g + 3. Let h be (3 + 0\/5)\/(-5 + 9). What is the third smallest value in 1, x, h, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + -25 - (36 + -29)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151.05985*-2.\nAnswer: 302.1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 24. Let h(o) = -1. Suppose 0*v + 21 = 7*v. Calculate v*a(q) + 72*h(q).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-901 + 127 - 296)*(0*s - 3*s + 4*s) to k*s + m and give k.\nAnswer: -1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 3*a - 2. Let g be j(-4). Find the third derivative of 0*c**g - 12*c**3 + 22*c**2 - 2*c**2 - 6*c**2 wrt c.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 - 434*j**2\/5 - 2288*j\/5 + 726\/5 = 0.\nAnswer: -11, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9540?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 4*d - 3449, 4*v + 5*d = 4599. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 1 t when three letters picked without replacement from utxuqnox?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q*q*(q\/(q\/q**(-4))*q)\/q)\/(q**1\/q)**(-15\/8))\/((q\/(q**(-1)*q))**48\/((q*((q\/((q\/(q*q*q**(2\/3)*q))\/q)*q)\/q)\/q)\/(q**(-1)\/q))) assuming q is positive.\nAnswer: q**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4527 is divided by 228?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 8932289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23 - 233*l + 215*l - 3 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)\/q*q\/(q\/q**(7\/8)))**(5\/13) assuming q is positive.\nAnswer: q**(-15\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -3, 1\/94, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 133*w**2 + 1. Is i(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 + 35 = 0. Let d = -4133 + 4137. Calculate the greatest common divisor of c and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/50 and -1\/1140?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + y + 8 - 3.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4 + 95055*c**3 + 21412620*c**2 = 0?\nAnswer: -18783, -228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 46478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2173 (base 8) to base 5\nAnswer: -14042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 6:44 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/98 and 27\/70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)\/(0 + 2) - 1. Let f(l) = -9*l**3 - l**2 - 4*l - 2. List the prime factors of f(o).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/9*(99 + -100). Which is the closest to w? (a) -0.1 (b) 2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2) + 2 + 0. What is the units digit of -3 + o*(-52)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621 (base 8) in base 6?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 6. Let p(u) = u**2 + 2*u - 8. Let o be p(-5). Let s be z(o). Suppose 23*y = 3*n + 27*y - 87, -n - 4*y + 29 = 0. Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 4*c + 10, w - c = -2. Suppose -m = -w*j - 995, 5*m + 2*j = 6172 - 1209. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/10)\/2)\/((-117)\/65).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 9. Let c be ((-66)\/8)\/(6\/(-8)). Suppose -d + 3*x + 10 = 0, -2*d + c = -x - 4. What is the least common multiple of l(d) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 0.01, -0.2, -8, -2916, -5?\nAnswer: -2916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 659*x**2 - 657*x**2 + 3444*x - 2953 + 2952 as j*x**2 + g*x + m and give g.\nAnswer: 3444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + 3. Let y(d) = 7*d**3 - d**2 + d + 4. Let r(k) = -5*i(k) + 3*y(k). Let m be r(4). Solve -5*u = m, u = 3*h - 0 + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let q(v) be the first derivative of 17*v**2 - 7 - 11 + 2 + 3. Calculate b(q(y)).\nAnswer: -2312*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 22. Let r be o(21). Let w be r\/(-35) + 18\/30. Which is the nearest to 0? (a) 2\/15 (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -43 - (-78 - 18).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 698551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833 divided by 7.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(152)\/(sqrt(40)\/sqrt(5)) - (0 + sqrt(931))**2).\nAnswer: -2793 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 + (-1)\/1)*-2. Suppose 4*c + x = 5*r, -r + 1 = 5*c + 9. Suppose -45 = -7*d + r*d. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 1, 3, -3 in descending order.\nAnswer: 5, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 261122159*i**4 + 350108474.\nAnswer: 1044488636*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**17)\/q)\/((q*q\/(q**(2\/15)*q))\/q) assuming q is positive.\nAnswer: q**(257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(-2) + 4\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 25 = 3*s + 2*s, -4*m = -s - 1. Let n = s + -2. Suppose 265 = n*o - b, 5*o = 3*b + 191 + 84. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -3?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3025 - 3023. Let m(r) be the third derivative of 0*r**4 - 19\/60*r**5 + f*r**2 + 0 + 0*r**3 + 0*r. Let o(l) = -l. Calculate o(m(q)).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57646 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 prob of sequence nn when two letters picked without replacement from {n: 12, o: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5380 = 3*r, -5*m + 2*r + 16531 = -10382. Is (-2 - 0)*1 - m*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -62 + 350. Let q = v - 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4720 and 608880?\nAnswer: 608880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 44*s - 109. Let k be u(51). What is the highest common factor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 15) in base 11?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2. Let v(o) = -o**2. Calculate -2*p(b) + 3*v(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-9) + (93\/(-9) - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012365 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4658 + 4*p - 4658.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*x**2 - 58 - x + 547 + 0*x.\nAnswer: 46*x**2 - x + 489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01460079 and 0.3.\nAnswer: -0.004380237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1102212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32699682?\nAnswer: 2, 3, 631, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {r: 1, o: 1, b: 1, h: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * -474.\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -584, -908, -1232, -1544, -1832, -2084?\nAnswer: -2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 426 + -424. Let q(y) = -14 + 2 - 2*y**3 + y**3 + 5 - 6*y**k + 14 + 7*y. Determine q(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.7656559 and 9.\nAnswer: 0.2343441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 5*c**2 + 3*c - 10. What is v(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2)*(-45 + 9). Let l = -6 - t. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -254 - -1 - (-2 - 1). Let b = p + 615. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695831818 to the power of 1\/3, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13*(-3 + (0 - 3) + 8 + 2177) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*c - 106 = -977, -3*q + c + 523 = 0. Is 35 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/342)\/((-65)\/(-120)). Let f = s - 2\/57. Which is the second smallest value? (a) 1\/5 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 6:21 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:39 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-494)\/4)\/((-6)\/12). Let t = 262 + f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*j**2*z + 11*j*z + 279*z - 1 wrt j.\nAnswer: -28*j*z + 11*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/9 + 2650*o**2 + 15958425*o + 1877043000 = 0.\nAnswer: -11865, -120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxd when three letters picked without replacement from {d: 1, x: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -12. Calculate the remainder when y is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 6 + 3. Let n be 0\/((-12)\/z*-3). Suppose -4*b = -4*a - 72, n*a - 4*a - b = 57. Sort 0, -1, a, -2.\nAnswer: a, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 9*d**2 + 14*d + 85. Calculate the remainder when 441 is divided by m(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -301882\/331 < -912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 15 = 3*h, 1 = 5*h + 3*b - 5. Suppose 10 = -4*p + 9*p. Suppose 0 = 2*d - p - 20. Calculate the least common multiple of d and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 1126*d - 36. Let i(w) = -18*w. Calculate i(q(t)).\nAnswer: -36*t**2 + 20268*t + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 24 = 1. Suppose -f - o*d - 22 = 2*f, 4*f + 4*d + 16 = 0. Let u be 1 + f + (-21)\/9. Which is the third biggest value? (a) 2 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*v**5 + 46*v**5 - 10*v**2 + 36*v**2 + (-9*v**3 + 0*v**3 + 2*v**3)*(-v**2 + 4*v**2 - 4*v**2).\nAnswer: 3*v**5 + 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 o when three letters picked without replacement from bjjbjjlbblsjobll?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c. Let g(v) be the third derivative of 7*v**5\/30 + 21*v**2. What is m(g(b))?\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (226 - 272 - (1 - 22)) + 2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(50\/15)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*s**3 + 2*d**2 + 12*d*s**3 + 4*d*s**2 - d*s - 179*s wrt s?\nAnswer: 12*d**2*s + 72*d*s + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(864) - (sqrt(864) - -2*sqrt(864))))\/(sqrt(363)*2*5 + sqrt(363)).\nAnswer: -120*sqrt(2)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 7*j**3 + 4691. Let a(m) = -935*m. What is a(b(t))?\nAnswer: -19635*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 513 and 459?\nAnswer: 8721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74429 - -76377.72. Let i = h + -1905. Let v = i - 43. What is v rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9 - 4. Let o = -0.0132 - -0.5132. What is the nearest to -5 in 0.4, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**6\/120 - 37*i**5\/80 + 403*i**4\/48 - 393*i**3\/8 - 405*i**2\/2 - 14*i + 25. Factor y(j).\nAnswer: (j - 20)*(j - 9)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/20 - m**4\/8 - m**3\/3 + 7*m**2. Let y = 37 - 32. What is the tens digit of d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1.80244741787\nAnswer: 3.80244741787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000110101101010 (base 2) to base 15.\nAnswer: 29cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:58 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/3 - 2*m**3\/3 + 3*m**2\/2 + 728*m. Let d(g) = -g**3 - 5*g**2 - g - 3. Let h be d(-5). What is c(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0023 + -0.3.\nAnswer: -0.2977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1296.72743 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 9, 1, 94 in increasing order.\nAnswer: -2, 1, 3, 9, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 7*g**2 + 1270 - 5*g**2 + 33*g**2 - 9*g**2.\nAnswer: 4*g**2 + 1270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31452318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -124266, -124261, -124252, -124239?\n\"Answer: 2*s**2 - s - 124267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 859203318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5) + 2\/10. Suppose -4*h + 28 = -x*h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - 102. Let q = 125 - 35. Calculate the remainder when q is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15800001)\/2 + (-3)\/(-6). Round k to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/9*(-3)\/((-3)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77677 + 2081353329?\nAnswer: 2081431006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 69900908 divided by -44\nAnswer: -1588657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.09 + 4.87. Let c = u + 0.22. What is the nearest to -0.1 in 4, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snannspannanhna. What is prob of sequence shn?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44*(-319)\/(-44) + -12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0373*-7325.7\nAnswer: -273.24861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5513349 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1)\/(-3*3\/6*226\/(-6667)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-3360)*14)\/(11\/15).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078, -2115, -3126, -4099, -5022, -5883, -6670, -7371?\nAnswer: -7974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 284\/(-360) - ((-5 - -4) + (-3)\/(-15)). Let t(z) be the second derivative of 0*z**3 + 18*z - o*z**4 + 0 + 1\/15*z**2. Let t(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 54932.\nAnswer: 164796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819550233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.89 (b) 1 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4799709470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027277 times -0.2?\nAnswer: -205455.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*o - o + 4, 0 = -2*o - s + 8. Put 0.4, o, -1 in descending order.\nAnswer: o, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1331) + 2 + -1))**2 + -3 + sqrt(88)\/(-4*(sqrt(32) + sqrt(8))).\nAnswer: 1055*sqrt(11)\/12 + 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -11*j**2 + 8*j + 6. Let t(r) = 4*r**2 - 3*r - 2. Let i(h) = 3*o(h) + 8*t(h). Let y(a) = -17*a + 20. Let f be y(1). Give i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/37824 and 139\/6336.\nAnswer: 1248192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24683 - -2?\nAnswer: -24681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 171643\nAnswer: 1\/171643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.3, -5\/969, -68?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710900.7 rounded to the nearest 10000?\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27873780 by -2959.\nAnswer: 9420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 0))**2) + 5 + 0.\nAnswer: 4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 234*v**2 - 8*v - 15. What are the prime factors of k(-2)?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2090*m - 3312. List the prime factors of l(25).\nAnswer: 2, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 61, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8896233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(84)*-3 - 1*-2*sqrt(84)))\/((sqrt(588)*-2 - sqrt(12)) + sqrt(12) + sqrt(36)\/(sqrt(18)\/sqrt(6))).\nAnswer: 24*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**9\/7560 - y**6\/360 + y**4\/4 - 3*y. Let o(u) be the third derivative of b(u). Find the second derivative of o(i) wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 41 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 109?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -40. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (10 - (7 + 0 + 13) - (-20 - -19)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:22 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-56))\/((15\/4)\/5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 32 = 2*i. Let l = -7 + i. Suppose -3*c + 4*f = -32 - 12, -c + 6 = 3*f. Solve -l*j = -6*j + c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3678925 is divided by 564?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 9:40 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1429*s - 2280*s + 5674*s + 7021*s + 593076 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 1431335010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 58 = -46. Suppose -5*h + 3 = -12, -2*w + i*h + 401 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -137726? (a) 3 (b) 5 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1, 0.02, 0.3, -145788?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -b16 (base 12) to base 6\nAnswer: -11230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 5*v - 1. Let x be h(4). Let c(t) = -2*t - 7. Let d(f) = -f - 3. What is x*c(a) - 7*d(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3613, -54 in ascending order.\nAnswer: -3613, -54, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 384?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2204 + -2201. Suppose j + 4*j = 10. Factor -1\/2*v**5 + j*v**2 - 1\/2*v - m*v**3 + 0 + 2*v**4.\nAnswer: -v*(v - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51295 is divided by 6385?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 9:51 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 2)*(-6*n + 0*n + 2*n + (-5*n + 4*n + 3*n)*(-2 + 0 + 0) - n + 4*n - 5*n + n + 2*n - 2*n + 3*n + 3*n - 3*n) in the form k*n + w and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7354 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 955631759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1744)\/(-6)*162\/108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0247 + -0.0253. Let x be 4\/8 - (-2 + 10). Let v = 7 + x. Which is the nearest to v? (a) 0.2 (b) 3\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - 9*u + 17. Let a(c) = -c**2 - 10*c + 15. Let b(s) = 6*a(s) - 5*i(s). List the prime factors of b(8).\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723.0835 rounded to 0 decimal places?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 5, 3, -0.1, 0 in descending order.\nAnswer: 118, 5, 3, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (3 - 10) - -4. Is m - (-241 + (5 - (5 + -3))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 51*c + 254. List the prime factors of n(-43).\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/140 and 71\/14310?\nAnswer: 200340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5047, -10074, -15101, -20128?\nAnswer: -25155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*d - 31*d - 24164. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 131895.\nAnswer: 13189.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -329*a - 3866. Calculate w(-13).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (8 - 5) + (1 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 35*c - 3. Let i(o) = 70*o - 7. Determine -3*i(g) + 7*m(g).\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38999 and 184906?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01446121186 - -0.01446. What is k rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13525*w**2 - 13595*w + 70.\nAnswer: 5*(w - 1)*(2705*w - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 84 in increasing order.\nAnswer: 1, 3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/6 + 481*f\/2 + 83566\/3.\nAnswer: (f + 127)*(f + 1316)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 2219 + 294 = 0. Calculate the greatest common divisor of i and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -403\/48?\nAnswer: -403\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51.8 - 51.6. What is the second smallest value in -0.5754, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*v + 12 = 0, -2*v - 3 = -0*x - x. Solve -3*m + 3*g - 4*g + x = 0, 5*g = -2*m - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - 3) + (-324)\/(-64) and (3\/(-8))\/((-98)\/(-1288)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*d + 1025, -h + 979 = 5*d - 86. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*((2 - 1 - 3)*(-1 - 3 + 5) + 1 - 3 + 0 - 4 - 3 + 2)*(0 - 2 - 3)*(2*r - r - 4*r) in the form k + u*r and give u.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 7*q - 10*q - 7*q to f*q + n and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*r = -13, 0 = 5*v - 5*r - 72 - 38. What is the remainder when 373 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 1224?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 6:27 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -4\/323, 2\/25 in increasing order.\nAnswer: -4\/323, 2\/25, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 116 = 2*g, g + 5*m = 2*g - 40. Let h = g + -50. Let r = -32 - -112. Calculate the greatest common factor of h and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47073\/29 - -1623. Let r = u + -2081\/174. Calculate the common denominator of 26\/29 and r.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 6\/5, 2, -0.5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d = -35*d - 3. Let v be (d - -2) + 343 - 1. Suppose -2*c = 3*c + 3*k - v, -2*c - 2*k + 134 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 1780*b**2 - 11278*b + 11278*b + 30 + 36 + 40.\nAnswer: 1780*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9977*w - 9972*w = 3*c + 54, -4*c - 4*w = -56 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 643 - 653. Suppose 13*h - 48 - p = 0. Solve 15*q = h*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**3)\/g)\/g)\/g**(4\/3)*((((g\/(g\/g**(1\/8)))\/g*g*g)\/g)\/g)\/g*(g*(g\/(g**(-2\/25)*g))\/g)\/g*g assuming g is positive.\nAnswer: g**(-677\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, -1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p**2 - 2*p + 78. Let n be w(0). What is the highest common divisor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 - 1904*n\/3 + 1812608\/3.\nAnswer: (n - 1904)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 8) in base 7?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5153 is divided by 649.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 + 1.05. What is t rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6114562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 6*p. Let s = -1 + p. Let j(k) = -k**2 - 22*k - 117. Let a be j(-8). Put a, s, -2 in decreasing order.\nAnswer: -2, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*1 + (7 - 3). Let b(l) = -23*l**2 + 29*l**2 - 1 + 5*l - 5*l**2 - 4. Determine b(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885432 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 75.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - c. Let x(l) = -l + 3 - 9 + c - l. Calculate x(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 12440*v - 9672100.\nAnswer: -4*(v + 1555)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75852191?\nAnswer: 2053, 36947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**32\/r)\/r*r*r**(9\/5))**(-1\/4) assuming r is positive.\nAnswer: r**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32980 + 692585\/21. Let j(y) be the first derivative of 0*y**2 - 3\/14*y**4 - k*y**3 + 43 + 0*y - 1\/35*y**5. Suppose j(r) = 0. What is r?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 55. Suppose -5*l + 8 = 5*z - n, -l + 15 = 3*z. Is l smaller than 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 17*w + 3*u - 1941, 3*w - 1158 = -4*u. Calculate the greatest common factor of 100 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*h + 24 + 23 = 0, -4*x = 2*h - 54. Let t(i) = -i**3 + 11*i**2 + 4*i + 12. Let y be t(x). Calculate the highest common divisor of 16 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22109835, -44219675, -66329517, -88439361, -110549207, -132659055?\nAnswer: -154768905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3 + 7585800*t**2 - 45514908*t + 68272416 = 0.\nAnswer: -1896456, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8680, 8681, 8682, 8683, 8684?\nAnswer: 8685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/15 - (366\/(-170) - -1). Let z = -1318 + 1313. Which is the second biggest value? (a) x (b) z (c) 0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 14*q**5 - 542*q**4\/3 + 1334*q**3\/3 - 390*q**2 + 296*q\/3 + 40\/3 = 0?\nAnswer: -2\/21, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2607?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (22 + (-17 - (-7 + 18))) - (35 + 0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18105 + -17957. Calculate the remainder when 1933 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3786538 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6388, -6391, -6394?\n\"Answer: -3*k - 6385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1556*l - 15536. Determine b(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -24*v**4 - 8330*v**3 + 173066*v**2 - 866320*v - 73400 = 0?\nAnswer: -367, -1\/12, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 787084*a**2 - 861484*a.\nAnswer: 1574168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 389 and 13133807?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2757360 + 1778343. Let h = b - -69017. Round h to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2863417*h**2 - 8590255*h\/6 + 1\/3.\nAnswer: (2*h - 1)*(8590251*h - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.70929 decades in centuries?\nAnswer: 2.370929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1661025 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1327 - 1336. Let y be (3 - 1) + -82 + 2. Let j be (-2)\/8 - y\/(-8). Which is greater: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 4*m + 57 - 53, -20*x + 2*m - 32 = 7*m - 77 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -907.5 + 910. Let i = 3.02 + -0.02. Let l = i - q. Which is the biggest value? (a) 0.3 (b) 8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/22 + 12\/11. Which is the nearest to 4? (a) 0 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zluooxexoluoue. What is prob of picking 2 u, 1 z, and 1 e?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -250136?\nAnswer: 250135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (43 - -51) + (-1)\/(-1 - 0). Suppose 0 = -x + 5, -85 = -4*z - 4*x + o. Solve 5*h - 2*w = -5*w - z, 4*h = w - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1038\nAnswer: 103.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krr. What is prob of picking 2 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -652 + 723. What is the greatest common divisor of m and 1207?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 2*k - 309. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8304 = -12*a - 8598 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2168 + -6.7832. What is the smallest value in 8, 5\/4, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 175770000 to the nearest 1000000.\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004703280759 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -144904 divided by 614?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*m - 2)*(-m**2 + m - m) - 4*m**3 + 3*m**3 + 0*m**3 + (0 + 0 + 2*m**2)*(-3 + 3 + m) to the form t*m**2 + i*m**3 + c + k*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3848245.\nAnswer: 5, 23, 109, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13911975*w**2 - w**3 - 13911977*w**2 - 1.\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 846\/(-21) + 4\/14. Let n = 30 + -90. Let r be 706\/6 - j\/n. Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/300 + 7*k**4\/30 + 9*k**3\/10 - 18*k**2 + 20*k. Factor q(y).\nAnswer: (y + 1)*(y + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28b12b - -6d?\nAnswer: -28b0ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404671498?\nAnswer: 2, 7, 11, 375391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*d - 1. Is 4 a factor of 7 - (d - 1)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 1. Let p be x(-1). Let u(v) = p*v**2 - 4*v + 4*v. Let k(s) = 37*s**2 + 24*s**2 - 98*s**2 + 31*s**2. Determine u(k(q)).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.37 - -2?\nAnswer: -10.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 856 divide 99194992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22870 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 239460*m**2 - 239413*m**2 - m**3 + 49*m**4 + 2 - 55*m**4 in the form l*m**4 + q*m + j*m**2 + d + g*m**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2*s + 7*l**2 + l*s - 585075*l + 4002820*s with respect to l.\nAnswer: 4*l*s + 14*l + s - 585075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33278 - 998461\/30. What is the common denominator of d and -77\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0.5, 0.5228, 2\/605, 1 in decreasing order.\nAnswer: 1, 0.5228, 0.5, 1\/6, 2\/605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5632*v - 349. Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c**(-10)\/c)\/c*c)*c*c*c**(-20) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 29*u - 11. Let f = 254 - 260. Suppose -r = -42 - 70. What is the remainder when r is divided by a(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.187 + -0.502. Let x = 1.343 + b. Round x to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*h + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.063373324 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7129847, 7129852, 7129859, 7129868?\n\"Answer: m**2 + 2*m + 7129844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 + 11*l + 1. Let m be y(-2). Let u(b) = b**3 - 9*b**2 + 17*b - 7. What is the smallest common multiple of u(m) and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27416795*h**4*m**3 + 2*h**4 - 8227*h**2*m**2 + h**2*m + 10*m**3 + 31*m**2 wrt h?\nAnswer: -658003080*h*m**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208415945 to the nearest integer?\nAnswer: 14437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*i**2 - 19*i**2 + 26*i**2)*(2*i - 3322 + 3*i**3 + 3322).\nAnswer: -72*i**5 - 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2465, 2418, 2301, 2084, 1737?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -0.2, 2574 in decreasing order.\nAnswer: 2574, -0.2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 13 + (6 - 13) + (1 - 15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3616*v + 80052 = 1710*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13695369 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and 25068?\nAnswer: 45122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**7*v)\/v*v**7*v)**(-2\/11) assuming v is positive.\nAnswer: v**(-34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 3. Let v(l) = -l. Let r(f) = -v(f) - y(f). Suppose 2*g - 2 = g, g = 4*b - 54. What is the units digit of r(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 43*u**2 - 142*u - 2234. Calculate p(11).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/17 - 29\/51. Which is greater: 1\/2 or p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -2*s**3\/3 - 3*s**2\/2 + 63. Let j(l) = -8*l + 4*l**2 - 3*l**2 + 9*l. Determine 2*j(u) + 2*y(u).\nAnswer: -2*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 178 = -2*j, -h + 72 = -2*j + 20. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 3, l: 2, i: 7, v: 1, m: 3}. What is prob of sequence um?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5498.9 - -5499. Which is the smallest value? (a) k (b) 0 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -127. Let k = 91 - a. Let j(p) = -3 + p + k + 2*p. Let q(s) = 1. Calculate j(u) - 3*q(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*u + 1040*u + 1083*u.\nAnswer: 1746*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qttd when four letters picked without replacement from {q: 1, l: 2, d: 1, f: 2, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*r - 4608 = -2199. What is the greatest common factor of 51 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11791, 12557, 13805, 15535?\n\"Answer: 241*b**2 + 43*b + 11507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v = -16*v - 497 - 439. Solve -28*z = v*z + 108 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 15. Let r be s(-6). Let h(n) = n**3 - 9*n**2 + 3. What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 24 = -22*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 - 2 = -2*q, -2*q = 4*c - 24. Suppose -c*b + 2*r = -62, -5*b + 3*r + 39 = -2*b. What is the remainder when 105 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 + 1. Let r be q(-1). What is the second derivative of 15*a**5 - a**4 + a**4 - 8*a - 10*a**r wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-7))\/(5*11\/385). Let a(q) = -q**3 - 5*q**2 + 5*q - 4. Let r be a(-6). Suppose -6 = -r*g - g. Solve -4*s + 24 = -f*d - 0*s, g*d = -s - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 - (-2842)\/280)*2477705\/18. Let p = r + -20644. Find the common denominator of -59\/40 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413613 = -214*m + 173*m - 9558. List the prime factors of m.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Suppose w - 3*w = -2*d + 6, -3*w = -x*d + 7. What are the prime factors of 5*2*d\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 37*h**2 + 4*h - 153. Let g(x) = 15*x**2 + 2*x - 76. What is -2*d(l) + 5*g(l)?\nAnswer: l**2 + 2*l - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6848, -6322, -5446, -4220, -2644, -718?\n\"Answer: 175*z**2 + z - 7024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002222635 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (25 - (11 - 9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 60?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.4, 2, -330, 14 in decreasing order.\nAnswer: 18, 14, 2, -0.4, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 1 = 7*k + 3*v, 25*v = -2*k - 9 + 30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -7887.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 9, 2, -3 in ascending order.\nAnswer: -4, -3, 2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4011 - 5?\nAnswer: -4016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 12:20 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28790345 to the nearest integer?\nAnswer: 5366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q - q + 10*q + (0 + 0 + 2*q)*(0 - 5 + 3)*(45 + 36 - 9).\nAnswer: -268*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*p + 201*p = 1166 + 862 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18170\/11 - 45625\/44. Let m = -2741 - k. Let b = m - -52. What is the nearest to b in -0.4, -0.5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**2 + 201*v**2 + 2*v + 180*v**2 - 149*v**2.\nAnswer: 248*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9170 greater than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106c264 (base 15) in base 9?\nAnswer: 24065864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1676 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/14 and 103\/720.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/(s**(1\/2)*s)))*s)**16*(s**(-1\/3))**(-6\/35) assuming s is positive.\nAnswer: s**(-278\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*v + 4. Let o be 5387\/(-210) + (1 - v). Let i = -192\/35 - o. Calculate the common denominator of i and -42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 7) to base 14\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*5\/((-15)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - 35\/5 - -194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 2*l**3 - 2*l - 3*l**3 + 6*l**3.\nAnswer: l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6996710*z**3 - 3071612*z**2?\nAnswer: -41980260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1070067*m**2 - 5389771*m.\nAnswer: -2140134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(-15)\/(-45)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17736 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/5*(40 - (-22 - -57))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9 and -0.0105.\nAnswer: -0.9105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 1, r: 3, g: 4}. What is prob of picking 2 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:54 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 + 28*l**4 - 266*l**3 + 572*l**2 - 336*l = 0. What is l?\nAnswer: -21, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.123 + -153.877. Let o = -17955256 + 17955410.00166. Let z = o + w. Round z to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m - y = -2, y - 4 = -5*m. Suppose -14 = 5*c + m. Let b = c - -68. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 292340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 1 - 19. Let q be ((-4)\/f)\/(1 + 7\/(-6)). Suppose q*i + 40 = 5*i. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.04.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**7\/14 + m**4\/4 - 30*m. What is the third derivative of r(o) wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:03 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -112 + 0*f - 23\/2*f**2 - 203\/3*f**3. Find the second derivative of r(a) wrt a.\nAnswer: -406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*x + 853 - 813 = 14*x, 4*x - 12 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7))**(2\/3)*a**(-1)\/(a\/a**(-3\/8)) assuming a is positive.\nAnswer: a**(-431\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(66)*3 + -2*(sqrt(66) + 5*sqrt(66) + sqrt(66)))\/((-3*sqrt(324) + sqrt(36))\/sqrt(1350)).\nAnswer: 435*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/11)*r*r**(2\/7)*r)**(-46)*(r**(-8\/5)\/(r**(-4)*r))\/(r**(-5)*r\/((((r**0\/r)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-46381\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + t + 4. Let c(a) = 1. Calculate 3*c(q) - u(q).\nAnswer: q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -21*h**2. Let d(r) = 2*r**2 + 7*r - 5. Let x(q) = q**2 + 4*q - 3. Let g(f) = -4*d(f) + 7*x(f). Let n(k) = 1. Let t(c) = g(c) + n(c). Give t(u(l)).\nAnswer: -441*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94150 and 23970590.\nAnswer: 119852950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/6 + -3)*(0 + -3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10245815381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 2050230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*t - 2*t - 64, 4*w + 276 = 5*t. Suppose t = -5*p - k, 0 = -2*k - 4. Is p less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4\/11)*g**5)**(3\/26)\/((g**(-2\/5))**(-5\/4)\/(g**5*g**(-2))) assuming g is positive.\nAnswer: g**(901\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/5 - 3438*j**2 - 1684988*j\/5 - 2190384 = 0. Calculate j.\nAnswer: -90, -7, 8692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l + 7 - 7 + (2 - 2 - 3*l)*(-6 + 3 + 4) + 1345*l - 673*l - 688*l)*(-l**2 - l**2 + l**2).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/112)\/((-215)\/688)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 675*c + 2628. Give u(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*f + 4 = -1, 5*f - 15 = -5*c. Let t be 1 + c - 6\/(-2). Solve -19 = t*b + 3*s, -s - 14 = 4*b - 3*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 112*y + 428. Calculate s(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7))**(-19))**(-17) assuming b is positive.\nAnswer: b**(646\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, 6, -3.2, -4\/10633?\nAnswer: -4\/10633","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqmggqamm. What is prob of picking 1 a and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2679505*c**3*w + 442218*c**2 + 3*w wrt c.\nAnswer: -16077030*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 23*o + 2238. What is r(62)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -11. Let i = v - -4. Solve 4*w = 5*z, 0 = i*z - 2*z - 4*w + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.1, -0.38, -4, 13\/6?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - v - 5*v)*(-4 - 3 + 19 - 2 - 1 + 4 + (3 - 5 + 1)*(0 - 4 + 5) + 5 - 2 - 5) in the form r + b*v and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -2*m**3\/21 + m**2\/7 + 4*m\/7 + 9. Determine l so that a(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.005 - -0.005088. Round b to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1832\/36 - (-13)\/117. Solve -12 = -q*m + 39*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12547 - 5*u**2 - 15*u + 12547.\nAnswer: -5*u*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17*q + 7. Let c = 99361 - 99354. Let l(i) = -4*i + 3 + 1 + 13*i. Calculate c*l(m) - 4*n(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -52, 1 in decreasing order.\nAnswer: 5, 1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 69.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1743*w. Let z(s) = -s + 40770. Calculate u(z(y)).\nAnswer: -1743*y + 71062110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 3*x + 5, -25*m - 5*x - 15 = -30*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 5 + -1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92\/39 + -983\/195. Let i = p - -244\/35. Suppose 3*k + 31 - 37 = 0. Which is the nearest to k? (a) -1\/2 (b) 8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/8 + (-1474)\/(-308). Let w be (-6)\/(-3 - -6) + (-12)\/(-2). Which is the second biggest value? (a) z (b) -2\/15 (c) -13 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-21)\/6*(-3 - -4). Suppose 10 = -2*a, h = -10*a + s*a - 13. Let w(f) = 3*f**3 - f**2. Let g(t) = 13*t**3 - 4*t**2 - t. Give h*g(n) - 9*w(n).\nAnswer: -n**3 + n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -76672 divided by -9584\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208645 divided by 1?\nAnswer: 3208645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -7\/10*v**6 + 0*v**4 + 0 - 1\/3*v**3 + 0*v**5 + 2*v + 0*v**2. Find the second derivative of k(r) wrt r.\nAnswer: -252*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*5*1204\/1505\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1\/4, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*u - 3)*(17*u**3 + 11 + 15*u**3 - 34*u**3).\nAnswer: -10*u**4 + 55*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (5 - -1) - -7. Let y be 52\/(-78) - 350*b\/(-6). Calculate the greatest common divisor of 29 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 1. Suppose -33 = 5*n - 8. What is b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (137 - 10) - (-109 - -79).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12 - 242\/6. Let w = j - 6. Let y = -22 - w. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3 = 5*z + 2, 3*n + 2 = -4*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 12. Let k be 36\/(-162) + 20\/d. What is the first derivative of -17 + 0*n**k - 59*n**3 + 53*n**3 + 0*n**2 wrt n?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukuc when four letters picked without replacement from kukuukcuuukkkuuuck.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 962184 and 169482.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 237.\nAnswer: -1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.33771 seconds in hours?\nAnswer: 0.011760475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002400353 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14278, -14228, -14146, -14020, -13838, -13588, -13258, -12836?\n\"Answer: 2*j**3 + 4*j**2 + 24*j - 14308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611, -277, 59, 397?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1993 = a + 1155. Let u = 5351 + a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 14*h**2 + 23*h - 17. What is w(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 28*s**2\/5 + 164*s + 232\/5 = 0.\nAnswer: -29, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 5*y - 17*y**3 + 3 + y**3. Let i(w) = w**3 - w - 1. Let c = 36 + -35. Let h(l) = c*b(l) + 3*i(l). Find the second derivative of h(f) wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11353?\nAnswer: 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 357\/7*(1 - (-1 + -1)). What is the units digit of r\/(-1)*4\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -17, -18, -19, -20?\n\"Answer: -r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 4*t**2 - 6*t - 17. Let c(s) = 2*s**3 - 7*s**2 + 13*s + 36. Give 6*c(v) + 13*y(v).\nAnswer: -v**3 + 10*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 200e9 (base 16) to base 2\nAnswer: 100000000011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**1*y))*(y\/((y*(y\/y**(2\/5))\/y)\/y))\/y)\/(y**5*y\/y**(-2\/15)))\/((y**1)**4*(y*y**(2\/7))**(-9\/5)) assuming y is positive.\nAnswer: y**(-569\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12)*(-49946)\/(-3842)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 27. Suppose k + 2*k - a = 0. Let i be (-82)\/(-7) - k*(-2)\/14. Solve 4*m + 4 = -i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.27, 126\/13, 5, 3, -5?\nAnswer: 126\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxdddxxdd. Give prob of picking 2 d and 1 x.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m**(7\/6)*m*m)\/m)))\/m**(19\/4))\/((m**(1\/11)\/m)\/m**(-10)) assuming m is positive.\nAnswer: m**(-1541\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-24)*2*144\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (0\/(-2))\/(-281 - -286)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 3*w + 22 = t - 15, 12*t = -5*w - 47 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/13 + (-168)\/(-91). Suppose 2*j - 4 = -2*j. Let z = j - 0. Sort z, 3, s in descending order.\nAnswer: 3, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -10. Let j = 1 - x. Suppose 4 + j = 3*i. What is the smallest common multiple of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 - -77. Let b(y) = y**2 + 5*y - 3. Let r be b(-6). Suppose 3*u - 5*l = -14, 5*l - r*l + 13 = -5*u. What is the closest to 0.4 in s, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**3\/6 + 15*b**2\/2 - 7*b. Let n be (-3 + 2)\/(1\/(-12)). Let m be g(n). Solve q - 2 = -m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*q - 8 = 0, 3*t - t = -q + 12. Let z = -10019 - -10022. Let 0*x + x**2 + 0*x**z - 1\/5*x**t - 4\/5 = 0. What is x?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23429 - -0.234288635. Round d to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -8*n**5 - 1027380*n**4 - 7704920*n**3 - 2568240*n**2 + 7704928*n + 3595620 = 0.\nAnswer: -128415, -7, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6587 divide 2364146429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13385539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -5*s**7\/7 - 13*s**6\/15 + 29*s**3\/6 - 2088*s. Find the second derivative of i(w) wrt w.\nAnswer: -600*w**3 - 312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b840 (base 12) to base 6\nAnswer: -1153320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 4\/(-8) + (-4)\/(-8). Suppose t*f = 0, 5*m - m + f - 260 = 0. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1284 or -1283?\nAnswer: -1283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -838, -938, -1058, -1198, -1358?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517868.8 decades in centuries?\nAnswer: 51786.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/9)\/(52\/(-36))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -128. Let o = v - 3. Let w = o + -37. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 4, f: 1, v: 1, e: 9}. What is prob of picking 1 e and 1 v?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -592\/885 + 2\/885. What is the second biggest value in 2\/5, -4, 2\/3, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3485185*b**5 + 2*b**2 + 19356075*b - 3 wrt b.\nAnswer: -209111100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**3\/3 + j**2\/2 + 73*j + 6. What is the remainder when f(0) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -474 - -493. Suppose -13 - o = -16*w. Solve 8*i - 10*i = w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from rryyrjryyyyyjryyry.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8364501*z**5 - 12239096*z**2 wrt z.\nAnswer: 501870060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*t + 21 = 4, 4*r + t - 15 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 + 16450*x\/3 - 135301250\/3.\nAnswer: -(x - 16450)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103551645 + 23?\nAnswer: 103552001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 - 11*j + 7. Let t be i(-6). Solve t = 3*r - 2*k, r - 5 = -3*k - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idurdddi. What is prob of sequence rudi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 935, -2.\nAnswer: -2, 4, 935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/3 - (8 - 15). What is the second biggest value in -3, -1\/7, w, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*n + 1. Let s(i) = i. Let v be s(n). Let g(t) = -2*t + 175 - 71 - 53 - 50 + t. Give g(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-30))\/(38\/95)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245309 is divided by 427.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\/(-1)*((-102)\/9)\/(-17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2 + 2*o - 2 - 1 - o**2 - o**3. Let n be h(-2). Let y = -7\/5 - -6\/5. Do n and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times 18129?\nAnswer: 1305288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 5. Let x = 10 - 2. Let c = x + -3. What is h(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3683537*q**2 - 2*q + 79192892 wrt q.\nAnswer: -7367074*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7895.4115939 plus 8?\nAnswer: 7903.4115939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.589309 nanograms in micrograms?\nAnswer: 0.002589309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 1950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 51 = -119. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 43. Let j be x(29). What is the third derivative of 16 + q**2 - 49*q**4 - 14*q**4 + j*q + 0 - 15*q - 2*q**3 wrt q?\nAnswer: -1512*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t = -24. Suppose 0 = -2*b - 4, -5*w - 4*b = b - 55. What is the remainder when t is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z**2 - z**2 - z**2)*(-2 + 0 + 1) - 5*z**2 + 0*z**2 + 6*z**2)*(0*z + 5*z - 2*z)*(3*z + 0*z + 3*z).\nAnswer: 54*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.98 rounded to zero dps?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 2*z**3 - 3*z**2 + 3*z - z**2 to t*z**2 + x + r*z**3 + m*z and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**2 - 11*j**2 - 3*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-704)\/(-10)*(-25)\/(-2). Suppose -u = 2*p - 6*p. What is the greatest common factor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(-2*sqrt(3)*1 - sqrt(3)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 + 7*t - 3. Let f be k(6). Let u(x) = f - 5 + 12*x + 3 - 3. List the prime factors of u(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105164054 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155 * -130374.\nAnswer: -20207970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 6*n**2. Let l be s(-6). Solve -2*c - 3*c + 25 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108788680 divided by 35321\nAnswer: -3080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2442 - -2443. What is the nearest to k in 27, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28875 divided by 5\nAnswer: -5775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49a + 1?\nAnswer: 49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -977593, -977488, -977385, -977284?\n\"Answer: -b**2 + 108*b - 977700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 13 + -15 - (6 - -14)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is -247630480 greater than -1238152407\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 73*d**2 - 34*d**2.\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 15. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 4\/33555 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/69 in -0.2, 0.06, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18532 * -0.069\nAnswer: 1278.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qssssqqsqq.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -k + 23 - 4, 0 = 3*k + 4*j - 25. Let g = 11 - k. Solve g = 3*m - 5 - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (8 - (-12 - -7)) - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*o - 167*o + w = 0, -5*o - 3*w = -22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 12 = 2. Suppose -6 - 574 = -s*r. What is the highest common factor of r and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 61.91. Let j = -2157 - -2155.69. Let k = c - j. Which is smaller: -2\/37 or k?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*m**3 + 197285641*b**3*m**2 + 21*b*m**3 - 38*m**3 + 22875*m**2 wrt b?\nAnswer: 18*b*m**3 + 1183713846*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 388 = -12. Suppose 3*a + 3*m - 48 = 0, 0 = a + 4*a + 3*m - 86. What is the remainder when j is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/1 + 44\/(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5}. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 12*f - 6. Let o be t(12). Let j = o + 15. Let x(w) = 6*w**3 - 2*w + 1. What is the remainder when j is divided by x(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136280000 to the nearest one million.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*j - 15151 = 45683, -5*s = 4*j - 152083. Does 35 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822917 = 43*v - 1353270. Does 221 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.92 + -19. Let u = -0.066 - -0.146. Let z = u + y. Sort -3, z, 0.1 in increasing order.\nAnswer: -3, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**2 + 20*r**2 - 72*r**2 - 2*r**3 + 23*r**2 + 7*r**3.\nAnswer: 5*r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 11) to base 6.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23462, 289, 5 in decreasing order.\nAnswer: 23462, 289, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54965225\/664 + -82779. Find the common denominator of 79\/36 and n.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.28 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168*y - 227 wrt y.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, z: 5, i: 4, v: 1}. Give prob of sequence wiwv.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:45 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yif when three letters picked without replacement from fooyfiofoyfoy?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/35 + (140880\/25 - -4) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27634*p**2 - 113*p**3 + 27634*p**2 - 55 with respect to p.\nAnswer: -339*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 260 (b) 1\/5 (c) 3 (d) 2\/3 (e) -2\/13 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 9}. Give prob of picking 2 y and 1 o.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149669*b + 149692*b - 449052*b + 149684*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 4*m**3 - 15 + 4*m**3 + 101*m**2.\nAnswer: 8*m**3 + 101*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2 (c) -3.6 (d) 1\/8 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 20*v + 688 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z**2 - 15*z - 2. Let l = 321 - 318. Let m be s(l). Is 23\/4 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6463 and 1124.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15)\/4)\/(60\/(-128880)).\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*p + 32*p + 70*p + 0*p**2 - 3*p**2.\nAnswer: -3*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 63. Let h(n) = 2*n**2 - 27*n + 16. What is the units digit of h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(490)*1)*1.\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5481481.2 rounded to the nearest 10000?\nAnswer: -5480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**2\/2 + 7*o + 100. Calculate q(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/7 (c) 3\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/15*(-380)\/152?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 534 + -b?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by ((2 + 7)*39)\/(6\/4).\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-66)\/9 - 4)\/((-4)\/(-2)). Let t = y - -82\/15. Let u = -0.5 - -1. Sort u, t, 0 in increasing order.\nAnswer: t, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119351.87 - 120288. Let i = -927 - d. Let q = -0.13 + i. Sort 1, q, -0.5 in increasing order.\nAnswer: -0.5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Suppose s*n + 2*p - 206 = -0*p, -4*p = -n + 78. What is the tens digit of n\/14 + (1 - -130)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.827 and 40.472.\nAnswer: 438.190344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72554?\nAnswer: 2, 36277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w + 192*w + 7866 = -111*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 663*w**4\/2 - 462*w**3 - 188. What is the third derivative of r(k) wrt k?\nAnswer: 7956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 209*q**4 - 11 + 7 + 3*q**4 + 0*q**4 - 2*q**4 + (-2 - 1 + 0)*(2*q**4 - 2*q**4 - 2*q**4) in the form y*q**3 + w*q**4 + h + b*q**2 + s*q and give w.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110121 - -101?\nAnswer: -1110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -326\/3 + 88. Calculate the common denominator of -5\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let y(x) be the second derivative of x**3 + x**2\/2 - x. Let t be (-2)\/5 + (-756)\/210. Calculate t*o(c) + y(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 38*z**2 + 560*z - 788. Determine d(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*j*j**1*j))\/j)\/j)**33*((j*j*j\/((j**0\/j)\/j))\/j)**(-5\/9)*(j**(-7)\/(j\/(j\/j**(-4))))**(13\/6) assuming j is positive.\nAnswer: j**(-2533\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*q - 12*q + 14*q)*(-37*q**2 + 37*q**2 + 8*q**3).\nAnswer: -496*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77625, 76398, 74339, 71436, 67677?\nAnswer: 63050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than -14480022536?\nAnswer: -14480022535.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + v**2 - 5*v + 0*v + 4*v. Let m be a(1). Solve g = m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13784886.\nAnswer: 2, 3, 765827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 47.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 110*r + 676. Let t be p(7). Solve -h + t*d = 14, -4*h = -2*d + 90 - 76 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -11*m + 6*m. Let i be 29*3\/6*-2. Let x = m - i. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18494167 times -2\nAnswer: 36988334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101116 or 101041?\nAnswer: 101041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let v = o - -5. Suppose v*x - 12 = -0*x. Sort x, -3, 3 in descending order.\nAnswer: x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12894282123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 68. Let h be a(-28). Let i be 3\/h + 198\/8. Solve w = -4*w - i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157*n**2 - 251*n**2 - 439*n**2 - 405*n**2 + 83*n**2)*(-2*n**3 - n**3 + 0*n**3).\nAnswer: 2565*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*r + 4*q = -133*r - 7694, 5*r - 3*q - 12816 = 0. What are the prime factors of r?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3959, 3964, 3969?\n\"Answer: 5*i + 3954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464979 and 8732?\nAnswer: 1859916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -16*l + 10, 3*l = 4*h - 26. What is the units digit of 9\/(-15) + h*(-801)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 4*m**4 - 5*m**4)*(6*m - 6 + 6).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((7\/294)\/(1\/(-2))). Is ((-2904)\/s - -1) + 14\/(-49) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 6*y - 4. Let j be t(-6). Let n be ((-12)\/4 - j)*(-6)\/(-3). Find d, given that 48*d**5 - 27*d**5 - 17*d**5 - 32*d**4 + 52*d**3 - 24*d**n = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 92*i**2 - 1573*i - 106. Let l be p(107). Solve -l*g + 3320*g - 18 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 1, r: 1, b: 9}. Give prob of sequence bbaa.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -17. Let d = g + 15. Let t(h) = -6*h**3 - 3*h**2 - 2*h. What is the remainder when t(-2) is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27133*t - 40933 + 40880 - 27134*t.\nAnswer: -t - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = -3*f. Let m = 8374 + -8446. Let b be (f\/3)\/(6\/m). Solve 2*i - t + 6 = 3*i, -b*i - t + 12 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j - 2*x + 5, -4*x = 3*j - 19. Suppose 0 = 3*c - 3*s - 21, 3*c - 49 = c - j*s. What is the highest common factor of c and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 - 2*s**2)*(0 + 0 + 2*s**2) - 2*s**4 + 6*s**4 - 2*s**4.\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 - 4227604*n + 24574873923622.\nAnswer: 2*(n - 11625911)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**3 - 2*q**2 + 2*q**2)*(0 + 2*q + 0) + 3230*q**4 - 5360*q**4 - 9566*q**4 as z + w*q**3 + p*q + u*q**4 + s*q**2 and give u.\nAnswer: -11700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a = -63*a - 112 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = 1085 - 1580. Let s(w) = -w**2 - 10*w - 4. Let i be s(-10). What is the remainder when ((-550)\/40)\/(1\/i) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p - 729 = 13*p + 3*p. Solve -4*t - 2*a + 33 = p, -5*a - 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2425220 (base 6) in base 3?\nAnswer: -20111211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 + 4*q + 5. Let i(g) = -2*g**2 + 3*g + 3. Determine 8*i(n) - 5*v(n).\nAnswer: -n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2 - 2*z - 28. What is c(-6)?\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -127.37 != -1.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*q = -12. Let f be q\/(-6)*172\/(-3 + 1). Let u = f - -43. Is u at most as big as 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Suppose -3*w - 2*h + 13 = 0, w + i = -4*h + 25. Let s be (0 - 3\/3)\/(-3). Which is greater: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*o - 4*k + 15, 2*o - 4*k - 6 = 0. Suppose 0*u + 15 = -3*u + m, -u + m - o = 0. Is -3 + 33\/12 + (-2693)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -36, -31?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3682440 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31a19 + -28?\nAnswer: -31a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -6*(-3 + sqrt(176) + 2)*6 + -1)**2 + -4)*2.\nAnswer: -20160*sqrt(11) + 458634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4 and -61\/3606998.\nAnswer: 7213996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63489\/124 - 512. Let m = 241\/868 + g. Let r = -1.1 - -0.1. What is the second smallest value in -0.4, m, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100567201 divided by 624641\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j + 3*v + 2 = -54*j + 8, 4*v = 3*j + 25 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100\/35*21\/6. Let k = 5 - l. Let g be ((-2)\/26)\/((-1)\/(-2)). What is the closest to -0.7 in k, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -39.2. Let v = -17 + 16.9. Let r = v + -0.4. Which is the biggest value? (a) 1 (b) 5 (c) r (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i + 42. What is m(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p**2 + 179*p**3 - 2 + 5*p - 90*p**3 - 91*p**3. Let j be w(-6). Solve -3*s + 4*o = -o + j, -11 = 4*s - o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h. Let i(t) = -43*t**2 + 76*t**2 - 42*t**2. What is z(i(u))?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 7*j + 3. Let b be x(-6). Let d = -12172 - -12172.4. What is the closest to 2\/7 in b, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11650716 by -416097.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**4 + 6*f**4 + 127*f + 3*f**2 + f**2 - 115*f - 2*f**3 - 2*f**2 to the form i*f**4 + h + u*f**3 + j*f + n*f**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-1 + h + 1) - 2*h + 2 - 2 + h + 0*h - 6*h + (0 + 2 - 1)*(-5 + 5 - 5*h) + 4 - 2*h - 4.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8. Suppose 4*l + 2*q = l + 262, c = 2*l + 2*q - 178. Suppose -12 = -3*y + l. What is the remainder when y is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0735 and 3.\nAnswer: -0.2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 10. What is the nearest to -2\/3 in 5, s, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000781 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**7\/7 + 17*t**6\/3 + 46*t**5\/5 + 7*t**3 - 43*t + 10970. Find the third derivative of f(i) wrt i.\nAnswer: -120*i**3 + 2040*i**2 + 1104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 80*n + 80*n)*(41*n - 4*n**2 - 41*n) - n**3 + 2*n**5 + n**3 + (-3 + 0 + 2)*(4*n**3 - n**5 - 4*n**3) - n**5 - 3*n**3 + 3*n**3.\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899 + 1187 = -48*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-4 - -2) - -4. Suppose 4*q - 3*k - 336 = 0, z*q + k = 181 + 171. Is 16 a factor of (q + -8 - (-4 + 1)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80462344*m**2 + 41108162*m?\nAnswer: -160924688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1054 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b - 75 + 309 = -29*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*m = -177*m + 85*m - 505*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939840097.\nAnswer: 13, 17, 31, 103, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 3 + 11, 3*g + 5*h + 21 = -8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 51 (b) 4 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 279*b - 4185. Let c be k(15). Let y(h) = -h**3 - 2*h**2 + 3*h - 9. Determine y(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/4)\/(-8))\/(1\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*w**3 + 129 - 129.\nAnswer: -212*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6260 - -0.23196.\nAnswer: -6259.76804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 63\/(-1764) + 2\/(-8). Which is the closest to m? (a) -1 (b) -5\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20249, -21616, -22999, -24398, -25813?\nAnswer: -27244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*-2531 + -3. Let k = -1305 + z. Find the common denominator of 56\/9 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:49 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*z**4 - 5*z**4 - 19*z**4 + (-3*z + z + 4*z)*(0*z**3 + 0*z**3 - z**3).\nAnswer: -42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 151, 273, 469, 763, 1179?\n\"Answer: 4*k**3 + k**2 + 41*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*y + 23, -4*c = -0*y + 2*y - 2. Suppose 3*a + z - 18 = 2*z, -c*a + 4 = 2*z. Solve -t - a = -1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16337 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1471*k + 19505*k + 1233 - 1233 to g*k + l and give g.\nAnswer: 20976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 513065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2947 + 19*n**3 + 2947)*(-4*n**2 - 1 + 1).\nAnswer: -76*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*-3*sqrt(448).\nAnswer: 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + f - 1, 4*f - 68 = 4*c - 96. Suppose -3*n + m = -1544 - 2102, 1197 = n - c*m. What are the prime factors of n?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*z - 0*z + 6, -9 = -3*z. Let i = -12 - -18. Solve b = 5*t - 2*p - i, -17 + 5 = t + 4*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 0 - 6*r**2 - 194*r + 1\/2*r**3. Give v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 - -3.87922\nAnswer: -57.12078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -364 + 366. Suppose -q*a + 4*f - 10 = 0, -3*a - 3*f = -6 - 15. Solve 8 = 5*u + a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 2}. What is prob of sequence kqk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 2*c**2 + 5*c - 3. What is m(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31995 - 31992. Solve -3*j = -v*n + 21, n + j + 85 = 88 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 0 + 6*d + 12 - 16. Let f(s) = -6*s + 5. Suppose 0 = 3*j + b - 7, 3*j - 6 = 4*j + 2*b. Determine j*u(m) + 3*f(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. What is the third derivative of -w**2 - w**2 - 3*w**2 + 4*w**2 + 2*w**l wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.067, 196, 2\/9 in descending order.\nAnswer: 196, 2\/9, 0.067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2674053 by -1.\nAnswer: 2674053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 17 + -7 + -14 + (3 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 2*u - 80. Let x(n) = n**2 + 26. Let a(b) = 6*l(b) + 19*x(b). Let f be 90\/8 - (-5)\/(-20). Calculate a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -73.8. Let w = -164 - -134. Let u = w + d. Which is the closest to u? (a) -7 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-920516\nAnswer: -920515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2. Let n(v) be the second derivative of v**4\/12 + 5*v. Determine z(n(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16722273*x + 16722273*x - 204*x**3.\nAnswer: -204*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9052\/806 + -11)\/((-135)\/10)?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s\/(s\/((s\/s**(-2\/7)*s*s)\/s)*s))*s*s*s*s)**13\/(s*s**0)**(-9\/4))\/((s**(4\/7)*s*s)\/s**(-2\/23))**(1\/2) assuming s is positive.\nAnswer: s**(6919\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbjj when four letters picked without replacement from qqgbqqqjgjgggqqnq?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.941kg in tonnes?\nAnswer: 0.593941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-2))\/(3\/(-18)). Suppose 0 = -2*l - 4*c + 10, 5*l + 3*c - b = l. Let p = 21 - l. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1237637437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 - p - 2. Let v be s(1). Let o be (-1 - (-24)\/v) + 9\/(-3). What is the third derivative of 39*w**6 - 3*w**2 - 41*w**6 - 17*w**o wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725767 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 43 = 14*u. Find l, given that 0*l**3 + 3\/4*l**2 + 0 + 0*l - 21\/4*l**u - 9\/2*l**5 = 0.\nAnswer: -1, -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -0.249 (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 198*g + 988\/5.\nAnswer: 2*(g - 494)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70313506?\nAnswer: 2, 281, 125113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39784598229.517 plus 0.01?\nAnswer: -39784598229.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2426 - -2421. What is the second biggest value in 2\/31, -2\/11, -2, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/75 and -62\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.18845157+-2\nAnswer: -2.18845157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 5 - 13*x**3 - 5 + 16*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018599101 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + f**2 + 4*f + 4 - 2 - f**4 - f**4 to u + y*f**3 + s*f**2 + w*f + k*f**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/12 + m**4\/3 - 2*m**3\/3 + 64*m**2. Factor u(v).\nAnswer: (v + 2)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(588))\/((sqrt(70) + -2*sqrt(70))\/sqrt(10)) - ((sqrt(2) - (sqrt(2) + 0 + 5 - sqrt(2))) + 1 + -4*(sqrt(12)\/(-2*sqrt(6)) - sqrt(2)))**2.\nAnswer: -114 + 391*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18546062 + 18546143.99971. Let a = -82 + y. What is a rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.42 + -0.02. Suppose 18*j - 44*j = -208. Suppose -3*i - 2*q = 4 - 0, -j = 2*i - 4*q. Which is the third biggest value? (a) i (b) n (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-66)\/(-77))\/((-3)\/(-21)*1). Let k be 10\/a*306\/170. What is the highest common factor of 144 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.5 - -8. Let n = 1.6392 - 1.2392. Sort -0.1, v, 3\/2, n.\nAnswer: -0.1, n, v, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 2925426?\nAnswer: 585085200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {q: 2, e: 5, f: 2, t: 1, a: 1, c: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = -3*d. Let j(b) = -3*b - 162. Let s(u) = -4*u - 159. Let k(l) = j(l) - s(l). Let f(x) = -x + 3. Calculate d*f(a) - 5*k(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**3*z)\/z)\/z**2)\/(z\/(z\/z**(1\/6))*z**2) assuming z is positive.\nAnswer: z**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-952)\/70)\/(-17))\/((-12)\/(-90)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/65)\/(21\/(-70)). Let n be (-1*1)\/((-15)\/15). Is n greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4450212 divided by 117.\nAnswer: 38036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 8*z - 3*z - 326, -4*z - 4*d + 244 = 0. What is the greatest common factor of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 927390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1663604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 29.25. Let v = s - -28. Let a = v + -1.649933. What is a rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + 1*sqrt(2)).\nAnswer: -12 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 713487, 713491, 713495, 713499, 713503?\nAnswer: 713507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 3}. Give prob of sequence dd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 111, 246, 445, 714?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1810573 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459 + 374 = 53*u - 704 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26142, 104500, 235096, 417924, 652978?\n\"Answer: -i**3 + 26125*i**2 - 10*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 29, 0.2, -0.1, 0.04, 272?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9092 at least -9112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 2*y - 2*y**4 + 0*y**4 + (2 - 2 - 2*y**3)*(2 + 39*y - 24*y + 2).\nAnswer: -32*y**4 - 8*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyklksr. What is prob of sequence kyr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-66))\/((150\/(-36))\/(-5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 + 9 - 6)*(1 + 1 + 1)*(-7*o + 10*o**3 + 7*o) to the form c*o**3 + n + d*o**2 + g*o and give c.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3341 - 1819. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 968 and 588.\nAnswer: 142296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2609 - 1695. Suppose 0 = -9*n + 238 + u. Calculate the highest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5546 (base 10) in base 2?\nAnswer: -1010110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/12*2*(-123)\/2255?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3076, -6165, -9252, -12337, -15420?\nAnswer: -18501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 1494?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0.9. Suppose h + 4*k + 36 = 0, 0*h - 93 = 2*h + k. Let t be ((-80)\/h)\/(1\/3). Which is the third biggest value? (a) y (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffh when four letters picked without replacement from {h: 3, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 416?\nAnswer: -415.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**3 + 280*a**2 - 280*a + 1. Give m(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 3. Let p(i) = i - 1. Let a be p(3). Suppose -2*q - 3*q + 16 = h, -a*q + 7 = h. Let s be x(q). Calculate the highest common divisor of 96 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1701*n**3 - 4598*n**3 - 2527*n**3.\nAnswer: -5424*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13293 at least 13294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1751 + -669. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 12, -0.3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-5)*1\/(-4). Do 0 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o + o - 3*o)*(927 - 927 + 21*o) in the form g*o + b*o**2 + f and give b.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k + 21 + 5*k - 4*k + 0*k. Let z be s(4). Let n(l) = -z + 3 + 16*l - 6 - 18*l. What is n(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -2\/27*d**3 + 0*d**2 + 0*d**4 + 0*d + 2\/45*d**5 + 5. Determine k, given that z(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 200866820.\nAnswer: -9\/200866820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 27 = 19. Suppose -8*h = -t + 4. Suppose 4*w - 20 = h, 2*j + 2*w - 162 = 4*w. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 314 and 335666?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 11*u**2 - 21*u - 23. Let c be j(8). Which is bigger: -5\/78 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*u + 1142066*h - 63255*u wrt u?\nAnswer: 2*h - 63255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 6*c**3 - 4*c**3 + (4*c**3 - 3*c**3 - 11*c**3)*(-3 + 3 + 2).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2191 divide 16184917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1571.1 + 1875. Let k = n - 284. Let r = 19 - k. What is r rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 - 4*l + 16. Let u be v(-6). Suppose -5*w = 4*q - 812, w + u*q - q = 169. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 7*g**2 + 8*g - 4. Give y(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625777 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120645 divided by -2.\nAnswer: -120645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + m + (-3*m + 32 - 32)*(-1 + 0 + 2) + 4*m - m - 2*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8702 - 7961. What is the greatest common factor of k and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415488 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177061\/44 - 64893\/11. Which is smaller: -1874 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545 and 6845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872) + -5)**2 + (sqrt(13) - sqrt(13)*-1*-3)*-3.\nAnswer: -162*sqrt(13) + 1921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 17*s + 401. Let n be t(30). Sort n, -4, 4, -27 in descending order.\nAnswer: n, 4, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2496*d**2. Let o(i) = -109689*i**2. Determine o(k(p)).\nAnswer: -683364225024*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 4*j - 5. Let v be c(5). Suppose 3*a - 3*p + 7*p - 105 = v, -a - 5*p = -35. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n - 2*d + 18 = 0, 2*n - 56 = d. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1560855 is divided by 780415.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643068.\nAnswer: 2, 3, 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.447413ml in litres?\nAnswer: 0.002447413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 0)*(9 - 18 - 14)*(7*x + x + 0*x) in the form i + b*x and give b.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21046 + 0.2057?\nAnswer: -21045.7943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -412 - -222. Let f = u + 384. What is f rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - 2 - (-8 - 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 16*y**2 + 992*y + 2. Let m(n) = -14*n**2 - 991*n - 2. Determine -8*i(x) - 9*m(x).\nAnswer: -2*x**2 + 983*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 u when four letters picked without replacement from znuaaauzzye.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = q - 21, 0*q + 5*m = -4*q. Suppose -h - 132 = -q*h. Let k = h + 58. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -1\/4 (b) -119 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14656327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86299 divided by -211.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32277 (base 8) in base 4?\nAnswer: 3102333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 195d (base 15) to base 4\nAnswer: 1111300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - (-17 + (26 - 33)) - (2 + -13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.1, 1\/4, -3, -0.1117 in decreasing order.\nAnswer: 0.4, 1\/4, -0.1, -0.1117, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 8*w**2 - 7*w. Let l be h(-7). Suppose l = v - 7 - 8. Solve -2*q + 2 + v = -3*t, -9 = -3*q - t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12678 - 12682. Put 8, -2, i, 6 in descending order.\nAnswer: 8, 6, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(-4)\/(16\/(-68)). Let z(q) = 3*q**3 - q. Let x be z(1). Suppose -p + 16 = -x*l. What are the prime factors of l?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1621422968629 - -0.2.\nAnswer: -1621422968628.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133012022 + 1?\nAnswer: 133012023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479d (base 15) to base 5.\nAnswer: 441343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 1. Let r(h) = h**2 + 4*h - 5. Calculate 10*q(x) - 2*r(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 15*b + 87. What is s(-20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 17 - 9. Suppose -8*s = -a*s. Suppose -2*o - 4*k + 4 = s, o = -0*k + 2*k + 22. Calculate the remainder when 70 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-20) - (-4)\/(-10). Let b be 3\/a*(-140)\/(-15). Let o = 27 - b. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -149, 3\/5, 3, -0.5.\nAnswer: -149, -0.5, 3\/5, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/(-280) - (-6 + (-671)\/(-110)). What is the smallest value in n, 218, 1, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1442627 + -543?\nAnswer: -1443372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 871*a*m**2 - 4*a + 3*m**2 - 105293*m wrt a.\nAnswer: 871*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/12 and -29\/5406.\nAnswer: 10812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8*v)**(-9)*v\/((v*v*v**20*v)\/v)*v**(-1\/2) assuming v is positive.\nAnswer: v**(-205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 5)*(-11 - 28 - 22)*(0*r**4 - 6*r**4 + 27*r**4) in the form y*r**4 + q*r**3 + h*r**2 + k*r + z and give y.\nAnswer: -1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 - 57 = 0. Let g be ((-273)\/j)\/(2\/(-12)). Suppose 0*n = -4*z - n + 47, -5*z + 2*n + 75 = 0. What is the greatest common factor of z and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9898*w = -9954*w + 3304 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -491 + 476 + (0 + 0 + 2 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 25184.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 - -13 - (-4)\/(-2). Suppose 2*k + r = 12. Suppose -2*h + k*h + 15200000 = 4*d, 2*h = -2*d + 7600000. What is d rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1146870?\nAnswer: 2, 3, 5, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2 + 11. Let m(s) = 2*s**2 - 4. Let b(x) = -11*m(x) - 4*w(x). Let a(t) = 18*t**2. What is b(a(h))?\nAnswer: -648*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, r: 5, m: 1, l: 1}. Give prob of picking 1 l and 3 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -324430144 (base 5) in base 9?\nAnswer: -2571325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 5:47 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772332 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.04, 4, 1492, 1\/8 in ascending order.\nAnswer: -1\/3, -0.04, 1\/8, 4, 1492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -305278*c**2 - 5*c - 1. Let q be l(-3). Let m = 1227488 + q. Round m to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3) + (-14)\/(-3) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*p + 9, 4*p = -p + 15. Suppose -j*q - 1 = -7. Solve -q*a + 5 = -a, -4*a = -y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Suppose 342 = 15*f - 273. Let h(g) = -f*g + g**2 - 49*g - 45*g + 131*g - 1. Determine h(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (2 + 1))*-2. Let h(b) = 57 - b**f - 6*b**3 - 57. Let m be h(-1). Solve -5*s = -15 - m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 8*k - 10*k. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4*w**2 - 5)*(0*w - 9*w + 3*w).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9424 + 1?\nAnswer: -32.9424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 87. Find the third derivative of n**3 - 119 - 3*n**q - n**2 + 120 + 0*n**2 wrt n.\nAnswer: -72*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 5*j + j**3 + 3*j - 5*j**2 - 2 - 3*j**3 to v + s*j**2 + q*j + r*j**4 + d*j**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose 7*k - 56 = d*k. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57865308?\nAnswer: 2, 3, 89, 54181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12291?\nAnswer: 3, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*v - 2*a, 0 = -5*v + 3*a - 0*a + 126. Suppose -v*r - 30668 = -58*r. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + p + 15 = 0, 2*n - 3*p = -6*p + 25. Suppose -4 = -z - 3. Suppose z = v - n. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -45. Let r = q + 17. Suppose x + r = -2. Sort x, -4, 10 in increasing order.\nAnswer: -4, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49520719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 211436666 (base 7) in base 14?\nAnswer: 1948a6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrrrrrrrrrq. What is prob of picking 3 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 36\/((40\/(-32))\/(5\/(-6))).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n**3\/5 + 154308*n**2\/5 - 7546686*n\/5 = 0. Calculate n.\nAnswer: 0, 49, 25669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*l - 4*k, 2*l + 435*k - 432*k = -16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20204*c**3 - 2*c**2 - 988.\nAnswer: -121224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 136 = 4*b, 3*y - 102 = 40*b - 45*b. Solve -y*j + 6 = -32*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1496, 3343, 5186, 7025, 8860?\nAnswer: 10691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 22. Let b be g(6). Let p(a) = -3*a**b + 3*a**2 - 7*a**2. Let r(t) = 4*t. Give p(r(s)).\nAnswer: -112*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 1.1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000090289823 rounded to 7 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a factor of 423605823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25470243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 242, 343, 444, 545, 646?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -x - 4*x. What is the closest to 2 in 0.1, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 11630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 305 and 4.82.\nAnswer: 1470.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 105*j - 1. Let m(s) = 134*s - 1. Let p(t) = 9*k(t) - 7*m(t). Let w(d) = 8*d - 2. What is 6*p(r) - 7*w(r)?\nAnswer: -14*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(13)*-2*-5 + -1.\nAnswer: -30*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - q + 4 = 0, 4*x - 28*q + 25*q - 28 = 0. Factor 0*y**2 + 8\/5*y**x + 4\/5*y**3 + 0*y + 4\/5*y**5 + 0.\nAnswer: 4*y**3*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*z**2 - 6*z - 3*z + 8*z - 6*z**3 - z**4 to s*z + x*z**4 + r*z**2 + a*z**3 + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/5 + -77\/40. Which is the closest to 0? (a) 1\/4 (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 3657 (c) -1\/195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-820)\/369*12\/(-32)*-6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3620 - -1318. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*-11*(-24)\/528?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1\/5, 5, 2\/13 in decreasing order.\nAnswer: 5, 2, 1\/5, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/7 + 41*a**2\/7 - 354*a\/7 + 720\/7.\nAnswer: -(a - 30)*(a - 8)*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6196 - 0.3804. What is the closest to 84 in -0.4, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*q + 4)*(-6*q**2 - 20*q**2 - 71*q**2) to the form m*q**2 + z + c*q + v*q**3 and give v.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -1, -0.05, -0.2, -0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -l - 5*p, l - 4*p + 2*p = 10. Suppose 3 = l*i - 9. Let c be (-476)\/(-12) - (-1)\/i. What is the greatest common factor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 4*t, 260*b - 8*t = 256*b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2598200957.\nAnswer: 11, 23, 446503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 3. Let f(g) = 4*g - 7. Suppose 2*q - 16 + 6 = 0. What is q*b(r) - 2*f(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89320026.\nAnswer: 2, 3, 19, 73, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/32 and 133\/220.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - n - 3. Let k(x) = 2*x**2 + 2*x + 6. Let b(c) = -5*h(c) - 3*k(c). Determine b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 22 + 118. Let j = -23 - n. What is the remainder when 21 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**2. Let j(q) be the first derivative of -q**2 - 6. Give j(u(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6435761 is divided by 1287144.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 474*p + 2394. Let l be w(-5). Let u be 44\/(-7) + 6\/21. Let v be ((-24)\/(-10))\/(u\/(-80)). What is the greatest common divisor of v and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**4 + 2*a**3 - 17*a**2 - 14*a - 3. Let g(i) = -14*i**4 - 4*i**3 + 50*i**2 + 40*i + 8. Let z(j) = 3*g(j) + 8*k(j). Factor z(f).\nAnswer: -2*f*(f - 4)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10569437?\nAnswer: 59, 179143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - -0.01. Let s(q) = -q + 3. Let u be s(7). What is the nearest to z in 1\/4, u, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.8. Suppose -5*g + 22 = -k, 5*g = -5*k - 0*k + 40. Which is the smallest value? (a) -2 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(720) - sqrt(720)) + 3 + (-3*(sqrt(720) - (-1 + sqrt(720))) - sqrt(720)))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -18. Let g(s) = 2*s - 2*s**3 - 9 + q*s**3 + 7*s**2 + 0*s - 2*s**3. What is the tens digit of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/21*v**4 + 26\/21*v**3 - 16\/7*v + 0 - 2\/21*v**5 - 4\/3*v**2 = 0. Calculate v.\nAnswer: -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38642.80369 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1340.47 + 1350. Which is the nearest to -1\/3? (a) -2 (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137305 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 632\/(-2449)*(-20)\/(-40)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*b**2 - 2*b + 69 - 2*b + 105*b**2 + 29*b**2 wrt b.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5928 and 11362.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*i + 88. Let m be 5\/i - 6\/16. Which is the biggest value? (a) m (b) -0.4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 - 1376*y**3 + 121776*y**2 - 909184*y + 1775360 = 0. What is y?\nAnswer: 4, 146, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d - 1032 = 6*d + 942 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/12280 and 41\/15?\nAnswer: 36840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -3719 = -2723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -35417 (base 11) to base 14\nAnswer: -14888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2195, -2200, -2215, -2246, -2299?\nAnswer: -2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -24\/19*k**4 - 4\/19*k**2 + 22\/19*k**3 + 0*k + 0 = 0.\nAnswer: 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0322 + -748.0322. Let o = 748.4 + i. Sort 1, -6, o in decreasing order.\nAnswer: 1, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80965343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1099, 1241, 1385, 1531, 1679, 1829, 1981?\n\"Answer: w**2 + 139*w + 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3428913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, v: 1, x: 5, q: 4, b: 3}. Give prob of sequence xp.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5045 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 375476.73037\nAnswer: 375476.33037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3*x - 3)*(x**3 - 18*x**3 + 5*x**3) - x**4 - x**4 - x**4)*(-5 + 2 + 6).\nAnswer: -117*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 13) + 4 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -10. Let z(t) = 3*t**3 + t + 1. Let x(v) = 2*v**2 + v + 2. Let a(b) = -b**3 + b**2 + 1. Let s(f) = -a(f) + x(f). Determine q*s(l) + z(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5469108, 1.\nAnswer: -10, 1, 5469108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 - 3*b**2. Let t be f(2). Let w = 17 + t. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 44. Suppose -s - l + 3 = 0, 0 = s + 2*l - 3*l - d. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 10, 5*l - 3*l + 2002 = 4*x. Let j = l + 24771\/25. Let i = 22\/175 - j. What is the nearest to 1 in -2, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 132548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/20*(-8)\/((-16)\/(-26210))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8779619um to nanometers.\nAnswer: 877.9619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -189216432?\nAnswer: -189216431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 0.033 (c) -2\/5 (d) -1\/6 (e) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42.3 and -328?\nAnswer: 13874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -49*y**2 + 2*y + 1. Let a be c(-1). Let w be ((-2)\/4)\/(1\/a). Solve 0*d = 5*d + w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12713588*z**4 - 6*z**2 + 129179384*z.\nAnswer: 152563056*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + 2 + 3 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*d + 1272 = -360*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 876 - 872. Suppose -3*a + 6 = 10*k - q*k, -2 = -a. Factor 0*j**2 + k + 2\/19*j**3 + 0*j.\nAnswer: 2*j**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20169253600 rounded to the nearest one million?\nAnswer: -20169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 910641646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116954 - 32747263\/280. Calculate the common denominator of f and -73\/700.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*l**5 + 4*l**3 - 36*l?\nAnswer: 200*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 3*h**2 + 7*h + 6. Suppose -2*u = 2*u - 5*r - 72, r + 30 = 2*u. Suppose 5*k + 7 = -u. Give b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3274, -3207, -3112, -3001, -2886, -2779, -2692, -2637?\nAnswer: -2626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 5, 1, 8, 3, 63, -230 in increasing order.\nAnswer: -230, 1, 3, 5, 8, 24, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 + 2*y + 1. Let s be (0 - 4\/(-2))\/1. Suppose -c = -4*i - 13, -c - 2 = -3*c + s*i. List the prime factors of t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -11. Let x be (31 - 4)*n\/6. Solve -c = l + 1, 2*c - 4*l + 5 = -x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6570 divided by -1314.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + 16\/6. Suppose 5*b - 7*y = -2*y + 10, -2*y = -p*b + 11. Is b greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/700)\/((-3)\/(-5))*(-7)\/((-14)\/(-16))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.5806 or 8\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s**2. Let r(v) = -16 + 16 + v. Calculate x(r(d)).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651743 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 3\/7 (c) 0.5 (d) -14.733 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4855, 7041, 9227, 11413, 13599?\nAnswer: 15785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 271, -1\/5, 13\/241, 2, 1\/5?\nAnswer: 13\/241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*g*y**3 + 58*g*y**2 + 3*y**2 wrt y?\nAnswer: -762*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(156) - (sqrt(156) + sqrt(156)*2)) + sqrt(156) + sqrt(156))*-5)\/((sqrt(84) + 1*sqrt(84))\/sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7914*u + 253*u**2 + 3 + 15823*u - 7912*u - 2 as i*u**2 + p*u + f and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7) + 13\/156*100.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - a**2 + 0*a**2)*(5 - 7 + 15).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7548562*r**2 - 7548562*r**2 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130224 is divided by 816?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/60*(-8)\/(-12)*-2. Let p = -0.07 - 0.53. Let x = p + 3.6. What is the biggest value in x, -4, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/376, -4 in increasing order.\nAnswer: -4, -1\/376, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.03193.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26884738 and -0.5.\nAnswer: 13442369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 8. Let q be d(-6). Let c = -7 - q. Let m(z) = z**2 - 20*z + 116. Let u be m(12). Solve -c*b = -2*b - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1098547, -2197165, -3295783, -4394401, -5493019, -6591637?\nAnswer: -7690255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27845 and 1731959?\nAnswer: 5569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 83708*q**2\/7 + 11958*q.\nAnswer: 2*q*(q + 1)*(q + 41853)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63)\/8 + 11 + 2\/((-4)\/6). Which is the smallest value? (a) 0.5 (b) 370 (c) j (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16 = 2*o, 5*o - 10 - 9 = -2*a. Let z be ((-2)\/3)\/((-2)\/24). Suppose 0 = 2*m + o*d + z - 96, 2*m - 92 = -5*d. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4 + 5*s + s**3 - 6 - 5*s**2 - 4*s. Let t be z(5). Find m, given that -m**t - 6*m**2 + 3 + 5*m**3 + 3 - 3*m - m**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3513419?\nAnswer: 7, 13, 38609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*p**3 - 274 + 4*p**3 + 250 - 14*p**3 - 3*p**2 to the form g*p**2 + h + i*p**3 + x*p and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/7, 3\/32, -37, 0.5, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 85 - 1 = 0. Suppose -s + 8 = -w + 3*q, -2*w = 3*q - 3. Solve w*c + 0 + 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + t + 1. Suppose -3*r = -5*k + 29, -2*r = 2*k + 1 - 3. Suppose 0 = -2*g + k + 2. Suppose -f - 12 = g*f. Give p(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*a + 71*a - 46*a + 81 to y*a + i and give i.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 111273 - 4?\nAnswer: 111267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/12 - -1\/4. Which is the nearest to -1? (a) -3 (b) 3 (c) v (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 1, s: 3, o: 5, b: 2}. What is prob of picking 1 f, 1 o, and 1 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4701177 to the power of 1\/2, to the nearest integer?\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v - 2 - 2*v**2 + 252*v + 294*v in the form w*v + i + z*v**2 and give w.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3692a6 (base 14) to base 12.\nAnswer: 76186a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/15 - 132634*w**2\/5 + 4377164*w\/15 = 0.\nAnswer: -198962, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 1, s: 1}. What is prob of picking 1 s and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38100720 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 6)*(-8 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/143648 and 8\/5?\nAnswer: 718240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737501431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4}. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 7*l - 1. Let b(w) = -w**2 + 11*w - 2. Let j = 75 - 67. Calculate j*d(n) - 5*b(n).\nAnswer: -3*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -25*h**7\/126 + 7*h**6\/18 + h**5\/4 - 35*h**4\/36 + 5*h**3\/9 + 21*h. Let c(t) = 0. Calculate t.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6469226 is divided by 495.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14341 by 14341.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 452406?\nAnswer: 4976466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9494175 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iilhtctttii. What is prob of picking 3 i and 1 c?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeksssskeyyysseke. What is prob of sequence eyyy?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)\/x*x*x\/x**(-2\/29))\/(x**(-2)*x*x*x**(7\/4)) assuming x is positive.\nAnswer: x**(-743\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 5*y**3 - 1920*y**2 + 27855*y - 66420 = 0.\nAnswer: 3, 12, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 2. Suppose -n = 2*b - 21, -20 = b - 5*b. What is the greatest common factor of n and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 3*l. Let i be (-3 + 7)*(-3)\/(-4). What is y(i)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17a1 (base 15) to base 2\nAnswer: -1001111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175795075 + 175797155.637292. Let s = m - 2034.6374. Let t = s - 46. Round t to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136700561 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 61516785?\nAnswer: 12303357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 - 103 = 33*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 0 + 1\/4*r**3 + 1\/2*r**2 - 3\/4*r = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 838 + 733. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 16*x**5\/3 - 40*x**4\/3 - 37*x**3 + 62*x**2\/3 - 8*x\/3 = 0.\nAnswer: -2, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4125.97 + -4139. Round h to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -155 - 177121?\nAnswer: -177276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1422)\/237)\/((-42)\/(-4))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 3\/4 (b) -5 (c) -9 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(52)\/sqrt(64))**2.\nAnswer: 65\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -12*c**2 - 5*c + 5. Let g(q) = -11*q**2 - 4*q + 4. Suppose -4*b = -f + 3, -5*f + b = -8*f - 17. Give f*g(p) + 4*h(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*4\/8 - (-610)\/75.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*f - 823 - 1897. Calculate the smallest common multiple of f and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*w - 7. Suppose -2*a + 40 = 3*n + w*a, -2*a - 17 = -n. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 3*m**2 - m - 1. Let j be w(-3). Let r(o) = 215*o - 215*o + 19*o**j. Let k(b) = -2*b. Determine k(r(f)).\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 2\/5, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175053 divided by -5?\nAnswer: -2175053\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, m: 5, h: 8}. What is prob of picking 3 z?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 18 = 5*x. Let g be 28\/8 + 3\/x. Let n = g + 52. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11964\/(-119640)*4\/((-96)\/(-135))?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p + 5*i + 20 = 0, 0 = p - 4*i + 5. Suppose 0 = -5*v - 0*v + s + 15, 3*s + 15 = 0. Calculate the least common multiple of v and (156\/30)\/2 - 2\/p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(162) + 2 - (1*sqrt(18))\/sqrt(9)).\nAnswer: -48*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2921224, 5842449, 8763674?\nAnswer: 11684899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1841*c - 642*c - 42*c to the form g + t*c and give t.\nAnswer: -2525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1390993 - 3?\nAnswer: 1390990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2405 (base 6) to base 5\nAnswer: -4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106*r**3*s**3 + 2*r**2*s**3 - 2*r**2 + 220*s**3 wrt r?\nAnswer: 318*r**2*s**3 + 4*r*s**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 7*a**2 - a. Let j be h(2). Suppose 15 = -3*f - 4*t, -4*f - j*t = t + 13. Does 6 divide 42 + (f*8)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4498 or 13945?\nAnswer: 13945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 12*q**5\/5 + 131*q**4\/6 - 41*q + 1. Find the third derivative of v(x) wrt x.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u + 3*u + 34*u**2 - 21*u - 47 + u**3 - 28*u**2. Calculate the remainder when j(-7) is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541362 is divided by 162.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (-17 + 1 - 29)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-10 - -4)\/3. Is (-3)\/j - (257404\/8)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101111000000?\nAnswer: -101111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b + 6*h = 37*b - 6, 0 = -3*b - h - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28713 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 1. Suppose -545 + 168 = 29*s. Let g(a) = -4*a + 1. Determine s*j(v) - 6*g(v).\nAnswer: -2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 423, 422, 421?\n\"Answer: -m + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/484283 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608259 = -8477*p + 663291 for p.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0.3 (c) -3 (d) 11\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (53 - 61) - 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2052\/117)\/(-38)*1\/(12\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 + 159. Which is the nearest to -2\/5? (a) 0.1 (b) 8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/((-16)\/4) + 401. Let z = t - 197. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 27*o**2 + 1817*o - 51012. Determine r(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11761632\/540 + 12\/10 + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13. Suppose -3*c - 3*i = d, 3*c - 2*c = -2*i - 4. Suppose c*j - 10 = 46. What is the highest common factor of j and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7735.84 millilitres in litres?\nAnswer: 7.73584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28.80617 from -1312.\nAnswer: -1283.19383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.557 and 3601702?\nAnswer: -2006148.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7594084735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28511*n**3*o - 83*n**3 - 107*n**2*o - 3*n**2 + n*o - 99*n - 5*o wrt n?\nAnswer: 171066*o - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -20222?\nAnswer: 20330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(15)\/sqrt(3) + sqrt(5) + -3 + sqrt(5) + 1.\nAnswer: -6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -5. Suppose 100 = -t + j*t. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13845, -55556, -125389, -223602, -350453, -506200, -691101?\n\"Answer: -43*y**3 - 13803*y**2 - y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003029051 rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46, 102, 148, 172, 162, 106, -8?\n\"Answer: -2*b**3 + 7*b**2 + 49*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 - 0.07. Let f = 5.06 + -5.425. Let y = -0.165 - f. Which is the third smallest value? (a) y (b) z (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15766 less than or equal to -15765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/2 - 6488*i**2 - 55719989*i\/2 - 39533526955 = 0. What is i?\nAnswer: -4693, -3590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 1. Let g(c) = -c**2 - 7*c - 2. Calculate -4*g(t) + 9*w(t).\nAnswer: 4*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 2 = 2*p - 3*h + 3 + 11, 0 = -3*h + 5*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -983 + 980. What is the closest to -3 in 2, d, -1\/53?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1318071677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66486252 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yysfkf. Give prob of sequence fys.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 1. Let n(v) = -5*v**2 + 9*v - 10. Let y(f) = -n(f) + 4*t(f). What is y(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*b + 188*b + 409*b to the form d*b + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 - -185. Is 25 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 6*k**2 + 3*k - 25. Let q be x(11). Let i = -1210 - q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 140 + 924 = 0. Calculate the highest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20861031 is divided by 206?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*v**3 + 330*v**2 - 215*v - 30.\nAnswer: -5*(v - 3)*(v - 1)*(17*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**2 - 768*h + 2236. What is y(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61082 (base 15) to base 2.\nAnswer: 1001011000000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1. Let b(q) = -5 + 9*q**2 + 0*q - 10*q**2 + 4*q. Let z(s) = -b(s) - 3*n(s). Calculate z(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4113?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7 + 16?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*a + 2*a. Solve 3*p + 13 = -y, -3*y = -p - a*p - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2685 and 127375.\nAnswer: 68400375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -83*r - 2240. Give l(-23).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzxzjxxxzzzzj. What is prob of picking 1 x, 1 j, and 1 z?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 + 0 + 3 - (-71 - -67))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -4 - (-3 - -1) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/((455\/221)\/35)*2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from {g: 2, n: 2, m: 1, a: 7, s: 2, x: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**5\/30 - 55*w**3\/3 - 2*w**2 - 19. Let o(b) be the first derivative of m(b). Let x(i) = 73*i**2. Calculate o(x(r)).\nAnswer: -292*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 127493052.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2093 is divided by 175.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2 - 4 + 6*b**2 + 5*b + 1 - b**3 + 1. Is q(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 10:43 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.619 - -1.819. Let z = -3 - -5. Let l = 2.5 - 3. What is the second smallest value in z, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 32 - 22 = 0. Let q(m) = -m**3 - 2*m**2 + 6*m + 4. Let x be q(i). Which is the nearest to -13\/4? (a) -2 (b) -3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Calculate the remainder when h(2) is divided by 6\/4*1\/((-16)\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/15 - 76\/(-5). Suppose x = 2*s - 21. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uueuuuueuueee. Give prob of picking 1 u and 3 e.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10335950.301 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -79\/2473381 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59328 by -6.\nAnswer: -9888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**5 - 1204*i**4 + 78930*i**3 - 1647700*i**2 - 2312736*i - 584896 = 0. What is i?\nAnswer: -1, -1\/3, 52, 74, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 3\/52, -4, 119\/36, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 - 3068*q\/9 - 1176578\/9.\nAnswer: -2*(q + 767)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-2) + 3\/(-2). Solve 2 = 2*f - m*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33b6 - 2?\nAnswer: 33b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwccccccwcccccccw. Give prob of picking 2 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -0 + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461451 is divided by 608.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 36 = -5*q, -4 = -2*a + 3*a + 3*q. Let f = 6 + a. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + 4*m)*(1 - 2 + 2)*(105 - 10 + 85).\nAnswer: -180*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693258?\nAnswer: 2, 3, 227, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704) + -2 + (sqrt(704) - (-1*sqrt(704) - sqrt(704))))**2.\nAnswer: -128*sqrt(11) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 6*h + 7. Let v(x) = 4*x**2 - 5*x + 6. Suppose f - 10 = a - 2*a, 26 = 5*a - f. Determine a*g(y) - 7*v(y).\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1219*t - 2889 + 2889)*(0 + 0 - t) to the form n*t + k + a*t**2 and give a.\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -177.38511.\nAnswer: -177.38511, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*c**2*r**3 + 2*c**2*r - 2170*c*r**3 - 257066*c*r**2 wrt r.\nAnswer: -306*c**2 - 13020*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*-9*3\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-1) - 6)*2\/(-23)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42570312 divided by 2?\nAnswer: 21285156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -35. Suppose s + s = -w. Let z(i) = i**2 + 2*i - 9. Let j be z(s). Calculate the highest common divisor of j and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 1419*a**2\/5 + 18686*a + 94848\/5.\nAnswer: -(a - 64)*(a + 1)*(a + 1482)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*c = 7*a + 8, -8*c - 41*c - 58 = 3*a - 0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 1798*s**6\/15 + 6048*s**2 + 3890*s. What is the derivative of u(a) wrt a?\nAnswer: 14384*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose -70*n = -6*n + 53*n - 32175. Suppose j*m + 83 = n. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.35785 days to nanoseconds.\nAnswer: 8584518240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23717268 and 2567?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(2))\/sqrt(2))\/(5*sqrt(20)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26572.27+27.25\nAnswer: -26545.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:07 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -149117, -149160, -149203, -149246?\n\"Answer: -43*r - 149074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 + -10)*10\/8. Suppose q - 36 = -2*q + 4*i, i - 37 = -h*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12380130?\nAnswer: 2, 3, 5, 7, 43, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1361*p**2 + 2*p + 440*p**2 + 559506 - 559506.\nAnswer: -921*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143 - 77*u**3 - 48 - 47 - 51 to the form q*u**2 + p*u**3 + f*u + b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 5*s - 17. Let u be h(-7). Put 4, 1, u, 27 in descending order.\nAnswer: 27, 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*j + 2138, -j - 4*j + 2*n + 2136 = 0. Suppose 5*h + 3 = j. Let b = h - 59. Is b bigger than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-13))\/(12\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1312 and 0.288001.\nAnswer: -377.857312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.71 - 0.71. Let u = 0.03 - -0.57. Let w = -1.6 + u. Which is the nearest to w? (a) -0.01 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347*d**2 + 126*d - 564*d**2 + 357*d**2 wrt d?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*o**3 - 1180*b*o**2 - 3*b*o*v + 4*b*o - 4*b*v + o**3*v + 18*o**2*v + 21*v wrt o?\nAnswer: 12*b*o - 2360*b + 6*o*v + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, g: 3, c: 4, f: 1, k: 6, q: 1}. What is prob of sequence gcmf?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2775 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {j: 2, i: 3, h: 1, f: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*4\/11. Let g = -0.8 + 1. Let t be 1*(10\/(-3) + 3). What is the closest to t in o, 1, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 1.9. Let u = z + 0.3. Let m = 2534.2 - 2534. Which is the closest to u? (a) m (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (209 - 5)*4\/6. Suppose -327 = -r - z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10714, -21432, -32150, -42868?\nAnswer: -53586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.081 + 2.032. Let s = r + 0.049. Let v = -3.1 - s. Which is the fourth biggest value? (a) 2 (b) v (c) -1\/6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 16.2 (b) -1.3 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/((-3)\/(-6)*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 14*t**2 - 25*t**2 + 11*t**2 - 326*t.\nAnswer: -t**3 - 326*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15310*k**3 - 7*k + 7*k + 7624*k**3 + 7550*k**3.\nAnswer: -136*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/10 + 13\/30. Let y(n) be the third derivative of 0 + 2*n**2 + s*n**3 + 0*n + 1\/24*n**4. Differentiate y(a) with respect to a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*r + 28*r. Suppose 13*j - 16*j + 5*q + 17 = 0, j + 5*q + 1 = r. Which is the closest to -2\/3? (a) 0.2 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -633*r. Let w(o) = 21*o**2 - 239*o. Determine w(c(t)).\nAnswer: 8414469*t**2 + 151287*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 31*t**2 - 33*t + 36. Let b be g(14). Calculate the highest common factor of b and 1350.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 17, u: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93711821 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41441, -82074, -122707, -163340, -203973?\n\"Answer: -40633*c - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-8 - -2) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 1 - sqrt(891))*-6 + 0 + (-6*sqrt(891)*2 - (-2*sqrt(891) + 2)**2))*3.\nAnswer: -10722 - 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(22)\/sqrt(2) - sqrt(11))**2 + ((sqrt(88)\/sqrt(8) - sqrt(11))*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/72)\/((-9)\/(-6)). Which is the nearest to -0.2? (a) -0.9 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 29*p**3 + 4*p**2 + 26*p**3 - p**2 - 4*p**2 - 3*p.\nAnswer: -3*p**3 - p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77112 and 9242424?\nAnswer: 64696968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.4 + -7.8. What is the closest to 0.3 in -1\/4, -2, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 696 - 3506\/5. Let l = a + 99\/20. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 9:45 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n**2 - 232*n + 369. Let o(q) = 5*q**2 + 112*q - 184. Let z(i) = 4*l(i) + 9*o(i). Find a such that z(a) = 0.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*x + 8. Let r = x + 3. Put 4, 0, r in increasing order.\nAnswer: 0, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 17 - 143 = 0. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 287 + -187. Suppose -7*o + 2*o = -v. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2 - 1057008*w + 93105492672 = 0. What is w?\nAnswer: 176168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 3*a + 7. Let o be ((-2)\/25)\/((-6)\/10). Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44063, -44060, -44047, -44018, -43967, -43888, -43775?\n\"Answer: w**3 - w**2 - w - 44062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034271961 + 2295.25?\nAnswer: 2034274256.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) 64.3 (c) -2 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103557408.\nAnswer: 2, 3, 23, 46901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - -9. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -442728 by 1118.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0361 + 4.0361. Let j = 141.91 - 142. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 3063177*f**2 - 79640574*f.\nAnswer: -3*f*(f + 26)*(f + 1021033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0*d - 3*x = 1, 3*d + 3*x = -21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -7 - 6 - (31 + -39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.058 * -729\nAnswer: 42.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.0775\nAnswer: -0.3875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009172128 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*v**3*z**2 - 198*v**3 + 62*z**2 wrt z.\nAnswer: -6*v**3*z + 124*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (100 + -97)\/(42\/(-4)). Sort -0.05, 2, l, 9 in ascending order.\nAnswer: l, -0.05, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 132 = -2*b - 7*n, 2*b - 3*n - 120 = 0. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -24.5. What is the second biggest value in p, 0, -6, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 319 = 3*v, -3*b + 566 = -4*v + 131. Suppose -1356 + 191 = -233*x. Is ((-15)\/2 + x)*v a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50442590.039 from -5.\nAnswer: 50442585.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -476 divided by 1\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437508.\nAnswer: 2, 3, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, 6, 0.4 in descending order.\nAnswer: 6, 0.4, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 881059241 from -1.3879.\nAnswer: -881059242.3879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7849\/3 - 2616. Factor 2\/3*b + 3*b**3 + n*b**5 + 0 + 7\/3*b**2 + 5\/3*b**4.\nAnswer: b*(b + 1)**3*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*n - 4265, 47*h = 43*h + 4*n + 5740. List the prime factors of h.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-108)\/48) + 0 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110110 + 111010000?\nAnswer: 11101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 16 = 6. Let d be (-135)\/(-90) - 1*1\/(-2). Let y(f) = -f**2 + d*f + 406 - 202 - 206. What is y(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nojjowjokjk. What is prob of sequence jjj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1384766 and -5184.\nAnswer: 1379582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/120 - 17*a**5\/60 + 11*a**4\/24 + 77*a**3\/6 - 21*a**2 + a. Let u be h(16). Sort u, -3.4, -5 in decreasing order.\nAnswer: u, -3.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 17 = -5, -2*m + 4*l + 20 = 0. Let d be m*1\/4*5. Suppose -110 = 3*i - 6*i - v, v = -d*i + 180. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 2060 + 635*g**2 - 2060.\nAnswer: 635*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u. Let x(d) = d. Let r(v) = v. Let g(t) = 4*r(t) - 5*x(t). What is o(g(k))?\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139373?\nAnswer: 13, 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 27*x - 27*x - 3*x**2. Let y(n) = -12*n**2. Calculate u(y(b)).\nAnswer: -288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-39762.\nAnswer: -11928.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2945 - 2944. What is the fifth smallest value in -2\/3, j, 0.5, -1.6, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7. Let c be 3\/s + 83 + -5. What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 + 9*n**2 + 8 - 8 - 19*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -254, -566, -1002?\nAnswer: -1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygggygqqqygyy. Give prob of picking 1 g and 1 y.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2498 = 2*a, 14*a = 5*f + 9*a - 6225. What is the remainder when f is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181707*o**3 - 71460*o**2 wrt o?\nAnswer: -1090242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724 - 3352 = 2038*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 20261*o - 425380. Determine q(21).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + -5.2. Let z = l - 1. Let s = -6 - z. What is the nearest to 1 in s, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3934 - 4004. Sort n, 4, 1 in decreasing order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2532 and 13296.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 17 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6923739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-18))\/(4\/40). Suppose x*t + 6 = 11*t. What is the least common multiple of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0713 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a day in minutes?\nAnswer: 31320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -254*i + 39. Is b(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - 155\/(-2). Suppose 2*d = d + 4. Suppose -d*k + k + 21 = 0. Calculate the highest common divisor of z and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*m + 72 = -65*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 1. What are the prime factors of a(8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*i**2 + i + 210*i**2 + 192*i**2 - i - i.\nAnswer: 136*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307724.\nAnswer: 2, 19, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/15, 658?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6*(-3)\/1. Suppose 32 - 40 = 8*v. What are the prime factors of 18*(v - j) + 2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.3 - 0.7. Let k = i - -30. Which is the smallest value? (a) k (b) -0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-10) + (-3)\/(-1) - -1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 8*u**2 + 8*u + 13. Let s be r(9). Find k such that -13*k**4 - 6*k**2 + 0*k + 3*k + k - k**s - 24*k**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(104)*-1 - sqrt(104))*-6)\/(sqrt(192)\/sqrt(54)).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 14*q**2 - 12*q - 1. Let t be g(9). Let l = t - 34. Calculate the remainder when l is divided by (20 - -2)\/(29\/58).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Let p be 24\/930*5\/2. Let v = p - -23\/124. Which is the nearest to 2\/7? (a) -0.5 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 887 = -4*o - 3*t, 5*o = 2*t + 1112. Suppose o - 55 = h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259829.\nAnswer: 259829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 9, t: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -3.941443\nAnswer: 0.7882886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*h*o - g**2*s - g*h*o + 8*g*o*s - 147*h*s with respect to o.\nAnswer: 4*g**2*h - g*h + 8*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24025509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -17*w - 109. Let o be d(-7). Calculate the highest common divisor of 58 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 25, 97304.\nAnswer: -5, -3, 25, 97304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(8\/100*5). Let j(o) be the third derivative of o**4\/24 - 2*o**3\/3 - 12*o**2. What are the prime factors of j(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2)*h*h*h**(-5\/2)*h\/(h*h*h\/(h\/h**(2\/25)))*h\/(h\/(h**(-2)\/h)))\/((h\/h**3)**(-32))**(-12) assuming h is positive.\nAnswer: h**(38121\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/10 - 1)*-5. Let j = p - -6. Is (0 + 47 - -3)\/j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -17*f**8\/3360 + f**5\/5 - f**4\/2 + 34*f**2. Let z(i) be the second derivative of g(i). Differentiate z(k) wrt k.\nAnswer: -102*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and 79\/9237054?\nAnswer: 73896432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r + 0*r + (-2*r + r + 2*r)*(-2 + 5 - 2) - 2*r - 3*r + 2*r - r + 2*r - 2*r)*(1244*r**2 - 1244*r**2 + 55*r**3).\nAnswer: -110*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -540 (base 14) to base 8\nAnswer: -2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112270.\nAnswer: 2, 5, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26653674503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -433 - -439. Suppose -6*y = -2*y - 5*m - 281, 2*y - 3*m = 141. Let p = y + -31. What is the lowest common multiple of p and g?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**3\/3 - 4*l - 6. What is the derivative of i(x) wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 2. Suppose 0 = h*s + 2*c - 23, -s - 4*c = -3 + 2. Let a = s - 3. Calculate the smallest common multiple of 5 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28064 - 27590. Solve 5*b = -2*t - 5, 4*b - 5*t - 503 + q = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 7. Let d = z - -8. Is d\/6*0 + 53 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 117917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 371, -19, -13\/3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 3*l + 5. Let r(w) = -2*w - 4. Let d be r(0). Let t(v) = -v**2 - 2*v - 4. Let f = -88 + 85. Give d*t(o) + f*s(o).\nAnswer: o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 132876 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 8*m - 11\/6*m**3 + 0*m**2 + 0. Let g(x) be the first derivative of x**2\/2 - 1. Determine g(a(n)).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjjjjjjjjjjgjjijgn. What is prob of picking 1 i and 1 g?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 5:17 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - w - 4*w + 3, -4*m + 3*w = -7. Solve 5*i = k, m*k + i - 28 = -7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2. Let g(u) = 37*u - 144. Let v be g(4). Let w(i) be the third derivative of 0 + 0*i - 3*i**2 - 1\/12*i**v + 0*i**3. Give w(h(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 16, 41, 98, 199, 356, 581?\n\"Answer: 2*q**3 - 2*q**2 - 3*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 69181.13us?\nAnswer: 0.06918113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))**(-12\/7)\/(s**(-3\/4)*s**(-1\/8)))\/((s*s*s**(1\/3)*s*s*s)**(5\/2))**(-47) assuming s is positive.\nAnswer: s**(104851\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:18 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (5 + 1 - (-2 - -1 - -21))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.79 - 94.77. Let w = f - 0.02. Let m = 53.71 + w. Round m to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112244 times 0.3\nAnswer: 33673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.753805 - 55.753811. Let t = a + 47. Round t to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 27.1. Let h = f - -11. What is the second smallest value in h, 2, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 155 - 179)*(-6 + w + 6) + (2 - 3 + 2)*(-3 - 2*w + 3) - w + 5*w - 3*w + 2*w - 5*w + w + 2 - 2 + w.\nAnswer: -283*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1162 - -0.0298. Let h = q - 0.086. Sort h, -5, 1\/4 in decreasing order.\nAnswer: 1\/4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6)*6\/(-4). Suppose 394*v = -1415*v - 55 - 3563. Let l = 5.4 + -5. Which is the fourth smallest value? (a) 2 (b) q (c) l (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71938655 divided by -3786245\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5047556 + -56?\nAnswer: 5047500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*t - 57*t - 12*t + 34*t + 17*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122358525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907*q**3 - 417*q**3 - 478*q**3.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-26) - (-7062)\/5564?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f - 65*f + 38*f - 188*f**2.\nAnswer: -188*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.11 - -0.11. Let f = -8.00000088 - p. What is f rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.055.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 4*j + 8. Let y be l(6). Suppose -3*k - 15 - 21 = 0. List the prime factors of y + k\/(-3) - -37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(-3) + (32\/24)\/4. Let o be -1*-14*(-5)\/10. Are o and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164207 divided by -7\nAnswer: 164207\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**39*a*a**(-31)*(a*a*a**(-25))**6 assuming a is positive.\nAnswer: a**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 - 7)) + -18 + (-12 - -16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 12*y - 24)*(-16*y**3 + 63*y**3 - 27*y**3).\nAnswer: -240*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -683191*g + 21862103. Calculate n(32).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -32*s**2 - 1077*s + 2156. What is k(2)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 13*c - 1. Let u be n(-6). Let 2*k**u - 4\/3 - 4*k**2 + 16\/3*k**4 + 8\/3*k**3 - 14\/3*k = 0. Calculate k.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/3 + 37*i**4\/3 - 44*i**3 - 16*i**2\/3 + 544*i\/3 - 176.\nAnswer: -(i - 33)*(i - 2)**3*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -4910 (c) 2\/125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syzssczvqvzs. What is prob of sequence sc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9434, -1844, -20650, -46990, -80870, -122296, -171274, -227810?\nAnswer: -291910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9 = -3. Calculate the highest common factor of 12 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 388719880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:27 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123886?\nAnswer: 2, 7, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 60992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -98178476 divided by -4?\nAnswer: 24544619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 61, -6, -61.\nAnswer: -61, -6, 35, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -4.3. Let u = 0.1 - i. Let p = -1 - 0. Which is the third biggest value? (a) 5 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -86a?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (51\/54)\/((-232)\/94). Let k = x + 2\/261. Which is the biggest value? (a) -2\/3 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 3*z + 1\/15*z**5 - 1\/21*z**7 + 4\/45*z**6 + 0 + 1\/9*z**3 + 0*z**2 - 2\/9*z**4. Determine h, given that o(h) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2156 + 2140 + 32932*b**2 - 4296.\nAnswer: 32932*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1718 or 1719?\nAnswer: 1718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 + 8\/3.\nAnswer: -2*(a - 2)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-42)*3\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d + 6. Let a(t) be the third derivative of -t**4\/8 - t**3\/3 - 277*t**2 + 10*t. Let u(k) = -k**2 - k - 5. Let q be u(0). Determine q*w(y) - 16*a(y).\nAnswer: 8*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 21*h + 29*h + 252 = 0, 0 = -35*a + 36*a - 5*h - 27 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21892 - -12556. Let v be m*(8 + 1582\/21). Round v to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 103?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhhbhbhhhbhbhbnhhnh. Give prob of sequence bhn.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*z = 72, -5*m + 0*z + 129 = -4*z. Do 15 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.2. Let l be 4*(-4)\/(-16) - -1. Suppose -5*r + 28 = -3*u, -5*r + 22 = u + l*u. Which is the closest to n? (a) -0.5 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*d*m**4 - 41*d - 4066*m**4 + 1302 wrt m?\nAnswer: 28*d*m**3 - 16264*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1298*q - 3*m = -1300*q + 4, -13*q - 48 = -m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 603700367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120\/77 + -14\/11. Let a = 2 - 1. Which is greater: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x + x + 3*x + 3*x. Let o(c) be the second derivative of c**4\/12 + 2*c. Calculate o(l(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1431812 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 106*n**2 + 9667*n + 29834. Give z(-88).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4857.656 microseconds in milliseconds?\nAnswer: 4.857656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.47811 + 0.13111. Let r = v + 5.305115. Let w = 0.042 + r. What is w rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104988247394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 125 (c) -0.3 (d) -6800\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -169 (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + a + 1 + (-1 + 2*a + 1)*(0 + 1 - 3) + 1176*a - 6738 - 4788*a - 6791 + 13528 as k*a + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 7:04 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8bb8bc (base 13) to base 3.\nAnswer: -20020011201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32746548 divided by 9822?\nAnswer: -3334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 0.1136.\nAnswer: 0.8864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301600101*k**3 + 6473542*k wrt k?\nAnswer: -1809600606*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*508\/16 + (-1)\/2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/3 - 2*u**2 - 6*u - 33. Let y be g(-3). Let v be (y\/4)\/(-1) - (-11)\/44. Which is greater: v or 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14897 + 23160 + 85065 = 76*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/9 - 24\/(-36). Suppose 4*n - 16 = u, -n = -4*u - 85 + 81. What is the second smallest value in h, n, -9, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h**2 + 6819*h - 2274.\nAnswer: 3*(h + 758)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376947 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - ((-9595)\/(-7680) - 18\/(-24)). Is 0.05 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 1. Let h be a(-1). Let w be (3\/2)\/(h\/8). What is the common denominator of w + 3 - (-91)\/4 and -55\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481498 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21)\/(-6)*(-128)\/(-224) - (-410)\/(-96) and (-2 - 2)\/((-15)\/(-14))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4 - 1. Suppose 0 = 9*r - 42*r - 99. Put r, y, 5, -2 in ascending order.\nAnswer: r, -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273770913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 253550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-102)\/15)\/(46\/10) - -2. Is x smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*6\/(-9)*-3. Solve 15 = -7*p + v*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6545)\/(-140) + -47)\/((-7)\/2268).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909894.2 microseconds in minutes?\nAnswer: 0.03183157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 4*u + 8 - 7 - 7*u**2. Let a = 0 - 2. Let m(f) = 6*f**2 - 2*f - 1. Let s(j) = a*c(j) - 3*m(j). What is the first derivative of s(g) wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 14 - (-1546 + 1577).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14615121?\nAnswer: 3, 17, 53, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*c = 2*c - 1, -3*c = 3*v - 24. Let x be 1*(0 + 1) - v. Calculate the common denominator of x\/3*(-16)\/6 and 35\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -4\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:12 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(2\/11)*l*l)*l*l*l**(-2))\/(l*l**(-1\/7)*l*l*l*l\/(l**(-3\/8)*l)*l) assuming l is positive.\nAnswer: l**(-4567\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1373 or -13723\/10?\nAnswer: -13723\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*o = 2*w - 6, -w + 3*o + 6 = 0. Let n = w - 6. Let m(i) = -i**3 + 5*i**2 + i - 4. Let j be m(5). Is n at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1452.68751 and 6060.37?\nAnswer: 4607.68249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5068 and -6.1?\nAnswer: 5074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17798*f + 10. Suppose -4*l - 4*s = -0*l - 28, 25 = 3*l + 5*s. Let c be o(l). What is c rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -535031173, -535031174, -535031175, -535031176, -535031177, -535031178?\n\"Answer: -h - 535031172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/91*(-8)\/(-28)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15*1*420. Suppose -3*o - 9*o = t. Is o greater than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 990.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = -2*x + 5*w, 3*w = -3*x + 9. Suppose -5*l + 0*k + 2600 = -x*k, l - 493 = -5*k. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + i = 10*y + 108, 4*i - 12 = y. Does -29 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1176*p - 1177*p - 1, -14 = -3*k + 5*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*1 + (9 - 11). Suppose -4*w = -w. Suppose w*r - 40 = -5*c + u*r, -2*r + 10 = 0. Calculate the greatest common factor of 110 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257 - -204. Let h = k - -141. What is the remainder when h is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*r + 4*r - 481, 5*q - 2493 = 2*r. Suppose q - 4556 = -9*u. What are the prime factors of u?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.3 + -46.3. Which is the third smallest value? (a) 1 (b) x (c) -0.5 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p = -12. Suppose 0 = -5*l - 20 - 5, 25 = p*t - 2*l. 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 o = -190 + 201. Suppose -w = h - o, 0 = 5*h - 7*h - w + 24. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a**2 + 249*a + 2. Let p(o) = o**2 - 4*o - 1. Give h(w) + 2*p(w).\nAnswer: -6*w**2 + 241*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 16*w + 117. Let q be v(-7). Suppose -4*s = -237 + 33. Let y = q - s. Solve -3*i - l = -2*l - 17, -y*l - 3 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619136849 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -424498831 - -1.3?\nAnswer: -424498829.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvv when three letters picked without replacement from bmvmbv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) + (-4)\/6. Let i be 1\/(1*-5) + n. Let c = -62.4 + 58.4. What is the second biggest value in -0.5, c, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2325369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, -2, 0.133, 1 in ascending order.\nAnswer: -2, -7\/5, 0.133, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.942531873 to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2486 is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.161655738 to 2 decimal places.\nAnswer: -13.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:22 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from arrtktkcckkrkr.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 130. Let i = -57 + p. What is the greatest common divisor of i and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -56.11. Let x = r + 0.89. What is the closest to 3 in -0.3, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 11:29 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -0.3, 2, -0.038?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142 + -131. What is the least common multiple of 234 and -4 + (0 + j - (3 + -6))?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 22. Calculate w(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2542244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -213, -697, -1205, -1737?\n\"Answer: -12*m**2 - 448*m + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 10240986 to the power of 1\/2, to the nearest integer?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 360*b + 318. What are the prime factors of d(8)?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3056?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-9)*15\/50*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)**(4\/7)*(i*i*i\/i**(1\/4))**(-10\/9) assuming i is positive.\nAnswer: i**(-55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let k be (11\/(-22)*(-1 - 3))\/3. What is the nearest to v in -4, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-10 - -8)*(-33)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087*a + 30 = -1089*a. Let y(s) = 3*s**2 + 47*s + 30. Calculate y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2243*m + 1047444. Determine k(-467).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*j + 5*h, -h = -4*j + 13 + 34. Let w = j + -15. Let i = 11 - 16. Put -4, w, i in ascending order.\nAnswer: i, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3913, -7821, -11739, -15673, -19629?\n\"Answer: -b**3 + b**2 - 3904*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*f - 912 - 5768 = 535 for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 + 23*t**2 + 23*t - 23. Let n(f) = 3*f**3 + 22*f**2 + 23*f - 24. Let g(q) = -4*b(q) + 5*n(q). Is g(19) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.636 * 2406\nAnswer: 6342.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sis when three letters picked without replacement from {w: 1, s: 4, i: 6}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3763869005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-160)\/960 - (-22)\/(-12)) + 6\/5. Let k be 1\/2 - 0\/1. What is the closest to -1\/3 in q, -2, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (54\/63 - (-1189)\/(-203))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/11 + 930*b**3\/11 + 928*b**2\/11.\nAnswer: 2*b**2*(b + 1)*(b + 464)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 108*x + 585. Let u(s) = s. Determine h(u(a)).\nAnswer: 108*a + 585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Suppose 4*x - o = r, -8*r - 2*x + 12 = -3*r. Let w(k) = 3*k**2 - 6*k**r + 4*k**2. Let j(v) = v**2. What is j(w(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14609532103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 1. Suppose c - 6*c - 25 = 0, -s + 2 = -c. Let a be s\/(-4)*(-4 + 8). Let u be j(a). Solve 0*i = -u*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 13. Let r(m) = -m + 7. Let y be r(3). Let p be n(y). Let s = 1.1 + -2.1. Which is the fourth biggest value? (a) -0.2 (b) 5 (c) s (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(150\/108))\/(2\/(-10)). Let j = k - -23. Suppose 2*d - f = -2*f + 197, j*f + 387 = 4*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 138\/5*a**2 + 9\/5*a**3 - 324\/5*a + 216\/5 - 18\/5*a**4 + 3\/5*a**5.\nAnswer: 3*(a - 3)*(a - 2)**3*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 2300. Suppose -7*i + 12*i - k = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476.7109 micrometers in meters?\nAnswer: 0.0004767109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8505187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4 = -0*a. Let c be ((-2 + 4)\/a)\/(-1). Let n = c - -3. Sort 0.5, -1\/3, n in decreasing order.\nAnswer: n, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*-31 + 6*10\/240.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 23 = -2*l - 3, l - 3*w = 11. Let r(g) = g + 5. Let v be r(-7). Let u = l - v. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88164 and 744?\nAnswer: 176328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1171171?\nAnswer: -1171171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v + 722*v**2 + 312*v**2 - 321*v**2.\nAnswer: 713*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -68*r - 19. What is v(-5)?\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -1123003130?\nAnswer: 1123003112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 4. Suppose 3*y = 106 - b. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 132*b - 134*b + 5752 = 0, -4*o + 11499 = -b. Does 115 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.534845 to two decimal places.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 1)*(2*w - 6*w - 4*w) - 2*w - 2*w + 5*w.\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.9 - 38. Which is the nearest to q? (a) 3 (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.229014 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03240578257 to six decimal places.\nAnswer: -0.032406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**4\/4 + 6*l**3 - 19*l**2\/2 + 38*l + 139. Is v(17) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 36 = -4*d, 2*d + 12 = -2*d. Let x be 4\/6*(-12)\/a. Let h(q) = -16*q + 1. List the prime factors of h(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 6*q + 9. Let c(l) = -2*l - 13. Let a be c(-6). Let r be (-42)\/(-3)*(a - (-3)\/6). What is the units digit of g(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+2295\nAnswer: 2294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7521957160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 12:59 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -942*a + 1903*a - 963*a. Let b(q) = -2736*q. Give l(b(v)).\nAnswer: 5472*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a. Let y(f) be the third derivative of -31*f**4\/24 - 41*f**2. Give y(s(q)).\nAnswer: -186*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from {v: 5, y: 4, s: 3}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 6*r - 5*r + 1 + 1 + 4*r. Is w(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 1273*i - 15414. What is x(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 75405622331?\nAnswer: 75405622332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 116\/(-3) + (-1)\/3. Let v(z) = -z**2 + 34*z - 241. Let l be v(18). Let n = a + l. What is the lowest common multiple of 9 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 101 - 155 = 0. Suppose 0 = -4*u + 5*y - y + 44, 3*u - 4*y - f = 0. What is the smallest common multiple of u and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + i**2 - 1. Suppose -b - 4*b = -35. Let h(l) = -l**2 + 7*l. Let r be h(b). Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfla when four letters picked without replacement from alffflffaa.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 83124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 = 2*d. Suppose -d*z = -z. Put 4, 1, z in descending order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 21*s**2 + 6*s + 42. Let q be a(-20). Let p = q - 2988. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 479\/41071 - -2\/613. Suppose 5*l + 25 = 2*h, 5*h - 2*l = l + 15. Which is greater: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 1\/3*k**3 + k + 0*k**2 + 0 + 1\/6*k**4. Suppose 0 = 5*p - j - 9, 20*j - 1 = 2*p + 15*j. Give n(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33170010 plus -1.2972964?\nAnswer: 33170008.7027036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6979321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - 3014405\/(-44370) - (-2)\/(-27)*(-6)\/(-8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38656 - -2?\nAnswer: -38654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*l*m**2 - 47*l - 2*m**3 + m + 5 wrt m?\nAnswer: 160*l - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0751047 and -142?\nAnswer: 10.6648674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:39 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15387733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1366\/671127 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259295.90000068 + 259295.5. Let a = 0.23 - -0.17. Let t = a + c. What is t rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1360, 2720, 4080?\n\"Answer: 1360*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1059568 by -752.\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -52.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 23*f**2 + f - 1. Let l be q(1). Suppose -l = 3*k - 8. Suppose 0*t - 4 = 2*t. Put k, 4, t in descending order.\nAnswer: 4, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26883, 26882, 26883, 26886?\n\"Answer: n**2 - 4*n + 26886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 51*x - 302. Let y be n(44). Suppose 5*u + 1 = -4. Let s be u + 1*(-3)\/(-1). Solve s*j - 7 = -2*r - 1, -4*r + 2*j = y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (880\/150 + -6)*((-245)\/(-7))\/(-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/((-1)\/6). Sort -5, 0.3, l, -34 in increasing order.\nAnswer: -34, -5, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 36, 53, 70?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940844?\nAnswer: 2, 235211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n - 3. Let t be f(-1). Solve t = -5*d + 13 + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25450*q**5 - 3161*q**2 + 35*q + 1969299 wrt q?\nAnswer: -509000*q**3 - 6322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 3*q**4 + 4*q + (-q + 4*q - q)*(-105 + 105 - 9*q)*(q**2 + 4*q**2 - 6*q**2).\nAnswer: 21*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 5*n + 28*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + r)*(-3*r**2 + 4*r**2 - 2*r**2) - 19*r**2 + 3*r**3 + 19*r**2 - 15*r**3 + 10*r - 10*r.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31508948*o**2*w - o**2 + 2*o - 1194*w - 29689 wrt o.\nAnswer: 63017896*o*w - 2*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1784 and 55\/10704.\nAnswer: 10704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*g = -226 - 34, -5*g = -f + 52. Suppose -3*s + s = -f. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 25*y + 4. Let v be g(3). Let p = 131 - v. Let s = p - 37. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/22)\/(30\/12*4\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.3125413 to two dps.\nAnswer: 7.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468, -1846, -4136, -7332, -11428, -16418, -22296, -29056?\nAnswer: -36692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13471405907 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1, 7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20\/10*2*26\/2 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 3, b: 2, g: 1, u: 5, k: 3}. What is prob of sequence qg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*d - 375, 0*d + 2*d = 3*m + 263. Let k = d + -137. Which is greater: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpggtggggggggmg. Give prob of picking 4 g.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -94*n - 1. Let i(q) = 561*q. Calculate a(i(t)).\nAnswer: -52734*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*a + 2317680 = 57*a. Round a to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -46715*f + 9483143. Calculate c(203).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -862 - -1538. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 138*r**2 + 2 + 2*r + 1059*r**3 - 1057*r**3 - 4 - 2*r**4 - 1 to m*r + v*r**2 + u*r**3 + c*r**4 + p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/8 - 42\/6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 122\/11, 198.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*y - 200*y + 36608 = -475*y for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -65, -144, -255, -398, -573?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.531 - 2.\nAnswer: 6.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -35. Suppose d*b = -2*b + 14. Suppose -i - b*i + 5*j = -139, i - 35 = -4*j. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64172 + 64173. Let g be 2\/(-1*42\/2). What is the second smallest value in g, 14, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-64)\/48)\/((-4)\/36*2). Solve -2*f - 4 = -2*t, 0 = 2*t + f - 1 + b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194749362.\nAnswer: 2, 31, 1493, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/768 and -35\/264.\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-961*r**2 + 1320*r**2 - 1401*r**2 + 5 + (2 - 4 + 1)*(2 + 0 + 0)*(2*r**2 + 0 + 0))*(-r**2 - r**2 + 0*r**2).\nAnswer: 2092*r**4 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -259.49, -6, 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*j**2 + j**2 - 3*j**2)*(-3 + 7 + 5)*(4 + 0 - 2 + (0 - 3 + 9)*(1 - 1 - 1)) in the form x*j + r + h*j**2 and give h.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 9*d - 5. Let w be s(-4). Let b be -8*w\/2 - -1. Solve 5*v + 5*u = -10, 3*v = -4*u + b*u - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -9. Let x be 2*1 + 10\/m. Suppose x = -3*g - v + 2*v + 23, -5*g - 3*v = -15. 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: Let g(o) = 6*o**2. Let p(m) = -4910*m**2 + 2. Determine p(g(b)).\nAnswer: -176760*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0. Let u = -3\/50 + 59\/150. Put u, 5, g in ascending order.\nAnswer: g, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 1, m: 1, y: 1, k: 1, z: 2}. Give prob of sequence gyk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 4*a + 360. Let r = -64 - a. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -250. Suppose -16*o + 27*o = i. Solve 2 = -14*s + o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/5 and (0 - 41\/(-54)) + 1\/(-3).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 2*g - 41. Let y be p(0). Let s = y + 30. Which is greater: -12 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 31, -3, 0 in increasing order.\nAnswer: -3, 0, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 2*w**2 + 8*w - 21. Let z be c(3). Let y be ((-24)\/36)\/((-7)\/z). What is the second smallest value in -2, y, 2, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 21*z**2 + 2*z - 77. Let y be q(21). Suppose -2 - 30 = -g. Let j = g - y. What are the prime factors of j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71199.544 or 2?\nAnswer: 71199.544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -0.1, 5 in increasing order.\nAnswer: -0.1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 211*b + 11. Let n(f) = 423*f + 19. Determine 4*n(d) - 7*v(d).\nAnswer: 215*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*q - 6 = 719*q + 2*o, 4*q = -o - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(-1)*t)\/((t\/t**3)\/t))\/(t*t\/t**(1\/4)*t)**(-2\/21) assuming t is positive.\nAnswer: t**(347\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*z - z, 5*z = p + 18. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -541, -535, -527, -517, -505, -491, -475?\n\"Answer: o**2 + 3*o - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(228) - sqrt(228) - sqrt(228))*3)\/(-3*-1*sqrt(12)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + 0.2. Let c be -1*(-4 - 2\/(7 + 37\/(-5))). Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 543.3.\nAnswer: 2716.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.77934 rounded to 1 decimal place?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 29*n - 52. Let z be k(7). Let t = z + -12. Calculate the remainder when t is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 18*r**2 - 32*r + 40. What is d(-15)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 929*(15 + 2)\/(-1). Let y = -11019 + 5226. Let o = y - w. Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30965.958499 + 69267.631414. Let f = -100252.89 + h. Let u = -19.3 - f. What is u rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 3}. What is prob of picking 4 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + p**5 + p**3)*(163 + 246 + 514).\nAnswer: 923*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -527.2 take away -1674.422?\nAnswer: 1147.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -238\/11*n**4 - 8\/11 + 134\/11*n**3 - 32\/11*n + 46\/11*n**2 + 98\/11*n**5.\nAnswer: 2*(n - 1)**3*(7*n + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 7*m = -105. Let g be 4663\/m - (3 - (-100)\/(-35)). Calculate the highest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -16*w**2 - 21*w + 50. Give y(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/28)\/(11\/(-9317)). What are the prime factors of (m\/(-8))\/(23\/(-92))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 10*m**2 + 11*m + 2. Let z be l(-11). Suppose -9*q + z*q + 56 = 0. Calculate the remainder when 39 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 180\/28 - (56 + -62). Which is the closest to 1\/3? (a) -2\/21 (b) 0.102 (c) 3\/5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v, -l + 0*l - 5*v = -11. Suppose 4 - 37 = -3*s. Calculate the highest common divisor of s and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -3 (c) -932\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 636 (c) 1\/4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712100 rounded to the nearest ten thousand?\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/48 and 9\/592.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 2 = -11*s. Let a be ((-4)\/(s\/(-10)))\/1. Sort a, -5, -10.\nAnswer: -10, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/183, -2.34, 0.3?\nAnswer: -2.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401092886.\nAnswer: 2, 200546443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9024*i**3 + 2*i**2 - 1314*i?\nAnswer: 54144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Let f = 0 - -2. Find the third derivative of s**3 - s**2 + 8*s**2 - i*s**2 - 2*s**f wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = -5*v, v + 4 = -3*d + 3*v. Suppose d = -13*x + 45 + 176. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**3 + 41*c**2 + 142 wrt c.\nAnswer: -12*c**2 + 82*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w + 49*w = 86*w + 48 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2453124, 4906364, 7359604, 9812844, 12266084, 14719324?\n\"Answer: 2453240*c - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - 0.3.\nAnswer: -62.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**37)**(2\/57)*(r**(-1))**49*r*r**(-1)\/r*r**(-5) assuming r is positive.\nAnswer: r**(-21797\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20660 (base 8) to base 14.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 + 1 + -13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-27))\/(4\/126*-3). Let j(h) = -h**2 + 5*h + 7*h + 0*h - g*h + 5. Determine j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 4*b + 3*b**2.\nAnswer: 3*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 + 13072*l\/3 - 1179250\/3.\nAnswer: 2*(l - 89)*(l + 6625)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93091588 is divided by 389.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*b + 4*b. Let j = 162 + -66. Suppose -6*f = -2*f - j. What is the smallest common multiple of f and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 2668239.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 6*w = -174. Suppose -w*d - 1089 + 8977 = 0. What is the remainder when d is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 16, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/(-55)*(-20)\/(-152))\/(74\/37)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*u - 274*u - 282*u as t*u + w and give t.\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5516, -0.2, -0.1641 in descending order.\nAnswer: 5516, -0.1641, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 10\/7*k**2 + 2\/7*k**3 - 34\/7*k = 0 for k.\nAnswer: -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421985 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/7 - 339*x**2\/7 - 7002*x\/7 + 92664\/7.\nAnswer: -3*(x - 9)*(x + 44)*(x + 78)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301822, -301824, -301828, -301834, -301842, -301852?\nAnswer: -301864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/294 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v, 0 = 3*f + 4*v - 1264 - 1380. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2 + 2320594*r + 6961773 = 0?\nAnswer: -2320591, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let c be 28\/6*4\/((-84)\/(-27)). Let f(j) = 27*j**2 - 7. Let r(w) = 6 - 7*w**2 - 28*w**2 + 7*w**2. Let d(i) = c*f(i) + 7*r(i). What is o(d(s))?\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2447*h - 5*h**3 + 2012*h**2 + 1 + 1223*h + 2*h**4 + 1222*h + 1079*h**2 + 4*h**3 to t*h**3 + s*h**2 + d*h**4 + r*h + i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 92\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 22*q + 912 = 940, 0 = -2*l + 4*q + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r - 22. Let a(j) = -29*j + 67. Let x(s) = -3*a(s) - 8*n(s). What is the tens digit of x(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1) - (-47 + 36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/2 + 15507*k**2\/2 - 93069*k\/2 + 139617\/2 = 0.\nAnswer: -15513, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 11:24 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*t**2\/6 + 145*t\/6 + 1333.\nAnswer: -(t - 31)*(13*t + 258)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -60*a + 3648. Calculate y(61).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.8 + 0.8. Let j = -35 + 21. Let t be (-4)\/j + 1\/(-7). Which is the second smallest value? (a) t (b) l (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4016 - -8016. Is 125 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46954 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001010101011100100101011 - -1?\nAnswer: -1111001010101011100100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1003 and 2419.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264 + 315. Suppose 3*u = y + 51, -4*y = -10*u + 7*u + x. Calculate the remainder when 185 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 121, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-1 - (11 + -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76\/16*(-272)\/(-2).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1545, 1196, 615, -198, -1243, -2520?\n\"Answer: -116*z**2 - z + 1662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + 17. Let g = c - 37.00046. What is g rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34*2\/2)\/((-4)\/(-46)*-23)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u + 6. Calculate d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -1.6.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7204*i = -3130*i - 590319 - 15074 - 159323 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3213, 3242, 3271, 3300?\nAnswer: 3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((77\/(-22))\/7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 638 - 453. Suppose -b = -4*r + 3*s, -91 = -2*r + s - 0*s. Suppose -5*g + 11 = -r. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 1}. Give prob of sequence xff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*u + 15, 3*u - 2 = 4. Sort 35, -1, 2, x in decreasing order.\nAnswer: 35, x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45745 and 1576242.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 11:03 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckko when four letters picked without replacement from {k: 5, c: 5, o: 1, i: 5, f: 2}?\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**25)\/p**(-1\/37) assuming p is positive.\nAnswer: p**(-887\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u = -x - 43*u - 3, -19 = 3*x + u for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(sqrt(128) + (sqrt(128) + -1)*5 - (-1 + sqrt(128))*-6))**2.\nAnswer: -9600*sqrt(2) + 74353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18293309 to the nearest integer?\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -57*p - 45*p + 115*p. Let r(c) be the first derivative of c**5\/20 - 5*c**2\/2 + 23. Let t(j) be the second derivative of r(j). Calculate g(t(z)).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 162.390879 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.4 + 5. Let u = 2.3 - x. Round u to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 74. What is the second smallest value in r, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3\/4. Let p(h) = 3*h**2 + 7*h + 12. Let o be p(5). Let b = o + -1707\/14. Calculate the common denominator of j and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 148\nAnswer: 8\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*x**2 - 8256 - 132*x**2 + 22*x + 8256 - 120*x**2)*(x + 0*x + x).\nAnswer: -392*x**3 + 44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02376 and 2?\nAnswer: 0.04752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101000000001101110001 + -101?\nAnswer: 1100101000000001101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5320 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, e: 5}. What is prob of sequence qeqq?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (7 - (1 + 1)). Let n be (-8)\/12 + 5\/6. Let i = 0 - -0.1. Which is the nearest to i? (a) z (b) n (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6193 + 10431. Suppose -3*p + 4*s = -3185, -5*p - z = -9*p + s. List the prime factors of p.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*f + 16 = -o, -5*o - 3*f + 12 = 0. Let j(q) = 0*q - 3 + 6 + 2*q. Let g be j(o). Solve 2*n = -g*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*j + 538, 4*j = -5*m + 6*j - 669. Let u be m\/(-84)*-3 - -5. What is the nearest to u in -0.02, -3, -5, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Suppose -p*w + 18 = -10. Solve 5*d - 50 = 5*m, -w*m + 2*m = 4*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -25. Let o be p\/15*-3*-5. Let z(r) = -r**3 + 2*r**2 + 1. Let d be z(2). Sort d, o, 2 in decreasing order.\nAnswer: 2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 16. Suppose 4*m - 41 = 3*m. Let j be m\/1 - (0 - -1). Calculate the highest common divisor of j and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183 take away -2?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m\/(m**8*m))\/m)\/(m*m**(-9)) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 109?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 2*f**2 + 2*f**2 + f**2 + 5*f**2 + 131.\nAnswer: 6*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, -2\/19, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 4*k = -23*f + 4, -3*k - 16 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49\/18 + -17\/6. Let c(m) = m + 8. Let t be c(-6). What is the second smallest value in j, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3135 - -3130. Let q = -2 - -3. Suppose -5*c = -2*w - 25, 4*c - 7*c - 3*w - 6 = 0. Sort c, -4, f, q in descending order.\nAnswer: c, q, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)*y**(-1\/3)\/y assuming y is positive.\nAnswer: y**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 12. Solve -x*d = -10, -5*v + d + 4 = -2*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.4669 to one dp.\nAnswer: 62.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -57, -84, -111, -138, -165?\n\"Answer: -27*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/5)*j)**29\/((j*j**(-6\/7)*j)\/j*(j\/(j\/j**15))\/j))**(-49) assuming j is positive.\nAnswer: j**(-12166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 834 - 186 = -24*n. Let q(a) = -14*a - 375. Let o be q(n). Put o, -8\/7, -0.5 in increasing order.\nAnswer: -8\/7, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1902 + 1915. Calculate the greatest common factor of 715 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Let o(z) = 51*z. Let v be o(w). Suppose -4*q = -6*q + v. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628305?\nAnswer: 3, 5, 41887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*o - 5511, 3*q - 2608 = -4*o + 693. List the prime factors of q.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-6) + 1\/1. Let q(i) = -2*i - 5. Let x be q(-5). Let v = x - 4. Is z less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 0.476272\nAnswer: 8.572896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 13 = i, -22*x + 27*x - 4*i = 19. Let o be (12\/(-8))\/((-3)\/16). What is the derivative of -3 - o - 16*y**x + 6 wrt y?\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*((sqrt(432) - (-1 + -1 + sqrt(432))**2) + -3).\nAnswer: -2192 + 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(125) + -1 + 2 + (sqrt(125) - (sqrt(125)*-1 + 4 - sqrt(125))) - 6*(-3 + sqrt(125)*1))**2*3.\nAnswer: -1800*sqrt(5) + 4350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -1. Suppose -5*b + 2*b + 39 = 0. Suppose -b*r + 62 = -16. What is the remainder when c is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*u - 88. Let q(o) = 2*o - 5 - 4*o - 3. What is the smallest common multiple of u and q(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 349 and 11168?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -5*j**9\/3024 + j**5\/60 + 8*j**3\/3 + 2. Let f(g) be the third derivative of q(g). Find the second derivative of f(p) wrt p.\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181478\/151 equal to 7825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 3968.\nAnswer: 35712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 3*y**2 - 8*y - 30. What are the prime factors of q(19)?\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000498292 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 51995832.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1159900 = -1159902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 12. What is y(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -42, 0.4, -1\/15, 1\/19, 3, -3\/2, -1\/16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 9579074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-231))\/((-11)\/66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -360, -13 in decreasing order.\nAnswer: -1, -5, -13, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 936887479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.656.\nAnswer: -0.05248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(1\/16))))\/(c\/c**(-3\/10)))\/(c\/(c*c**20\/c)*c*c*c*c\/(c*c**(-1\/2)*c*c)*c) assuming c is positive.\nAnswer: c**(1301\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 1 + 2. Let i be a*(0 + 0 + 1). Let f = 2\/5 + 11\/10. Do i and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/((-9)\/(-18)). Let u(a) = -4*a**2 - 7*a - s*a**3 + 20 - a**2 + 2*a - 22. Is u(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 499455249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*o - 24 = 0, 3*v + 12 = -o + 25. Sort 5, -5, -4, -2, v in ascending order.\nAnswer: -5, -4, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 4*p - 101. Suppose -2*x + 2*l + 24 = 3*l, 4*x + 4*l - 40 = 0. What is the highest common divisor of x and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86 or -259\/3?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 106*y = 1062. Let z = -2 + 7. Suppose -y*x + 4*m + 836 = -z*x, 4*x + 2*m = 836. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -109) + -107 - (6 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 894 - 897. Let p(k) = 255 + 5*k**3 - 4*k + 3*k - 257. Let m(x) = -14*x**3 + 4*x + 6. Give b*m(z) - 10*p(z).\nAnswer: -8*z**3 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 6*q**2 - 3*q + 3. What is the units digit of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9518001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {o: 1, d: 4, u: 2, k: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 83. Suppose 63 = 3*h + f*a - 2*a, -6 = 2*a. Calculate the highest common divisor of h and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 137045, 137047, 137059, 137087, 137137, 137215, 137327, 137479?\n\"Answer: u**3 - u**2 - 2*u + 137047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6391370 by 1278274.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + u)*(-14*u**2 + 14*u**2 + u**3 + 0*u**3 + u**3 + 0*u**3 + (u**2 + 4*u**2 - 4*u**2)*(2*u + 0 + 0)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41248 - -2681218\/65. Let t = w - 5527\/260. What is the common denominator of t and -97\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100100110011010101101 (base 2) to base 10\nAnswer: 5400237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 87 + 41 + 46.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 13. Suppose 4*k - 10 = 3*z - l, 88 = 5*z + 4*k. Is (-3)\/(-12) + 4012\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 28*b + 108, 120*p - 122*p + b + 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119085 by -5.\nAnswer: -23817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(q**3 + q**3 - 4*q**3)*((3*q - q - q)*(-3 + 6 - 4) - 9*q - 2*q + 2*q + 0 + 0 - q) to f*q**3 + h*q**4 + b*q + z + c*q**2 and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*l**2 + l**2 - 9*l**3 - 2*l**2 + 3*l**2 wrt l.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v - 15. Does 32 divide g(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011784 rounded to 7 decimal places?\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -121782.96 rounded to the nearest one hundred?\nAnswer: -121800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 + (-129)\/(-63). Let d = -26\/15 + q. What is the nearest to 3 in -0.4, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/6*(-1)\/((-6)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236\/3 - -78. Let y = -352 - -354. Let k = -3 + 7. Sort k, y, a.\nAnswer: a, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, y: 1, f: 2, g: 9, a: 2}. Give prob of picking 2 g, 1 f, and 1 y.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -267 + 119. Let f = x + 148.00000209. What is f rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:28 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-15) - (3 + -4). Let w = 55.95 + -56. Which is the closest to -0.2? (a) m (b) w (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 17 = -5*i, 2*r + r - 4*i = 19. Let o(q) = -q**3 + q + 1 - r*q + 7*q + 3*q**2. What is o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**3 - 72*r**2 + 59*r + 25. Determine b(11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*l + 45, -4*l + 57*d - 55*d + 38 = 0 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tooo when four letters picked without replacement from ototqttoq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 38 = -98. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135707, -135710, -135713, -135716, -135719?\nAnswer: -135722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10 + 3 = a, -a = 5*b + 23. Let o = a + 8. What is the second derivative of -5*h**3 + 3*h + o*h**3 + 2*h**4 wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.028 + 0.128. Which is the second smallest value? (a) 0.4 (b) 0.5 (c) -3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3537337*k**3 - 3*k + 12927075 wrt k.\nAnswer: -10612011*k**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -14 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -111100010000?\nAnswer: -111011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (108\/(-10) + 10)\/(3\/210*-1). Solve -58*w - 8 = -t*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -391820, 1.1, -4, -9, -3, 0.1 in decreasing order.\nAnswer: 1.1, 0.1, -3, -4, -9, -391820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229\/3 + -77. Let o = 23.9 - 26.9. Which is the nearest to d? (a) 3 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11228 + 11226. Sort h, -5, -4, 6.\nAnswer: -5, -4, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 - 3*x**2 - 3*x**2)*(-x**2 - 2*x**2 + 5*x**2) + (0*x**2 + 2*x**2 - 6*x**2)*(-2*x**2 + 0*x**2 + 4*x**2).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:40 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus -144096621.2012?\nAnswer: -144096621.1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 3*a**2 + 3*a - 2. What is y(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*x**4 + 1\/11*x**2 - 2\/11*x**3 + 2\/11*x + 0.\nAnswer: -x*(x - 1)*(x + 1)*(x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154386837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 3*d**2 + 3*d - 6. Let f be u(4). Is 6\/f - (-78)\/5 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 at least -26816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9704263*p**4 - 3*p**2 - 2422707*p wrt p.\nAnswer: -232902312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-21) + (-1)\/(-3)*155. Suppose 51*b = d*b - 1. Solve 2*c + b = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-6 - 0))\/(3\/2). Solve -4*q = 3*g + 7, -j*q - g - g - 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 5:20 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -75, -233, -497, -867, -1343, -1925?\n\"Answer: -53*l**2 + l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 18 - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18*f - 625. Give k(32).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + z. Let o(g) = -6*g**3 + g**2 - g + 1. Determine o(r) + u(r).\nAnswer: -5*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/5))\/w*w)**(-14))**(-5\/4)\/((w**(-1))**(1\/3)\/(w**(-1\/8)*w\/(w\/w**(-2\/21)))) assuming w is positive.\nAnswer: w**(4135\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/3*6\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1233 - -1338.9. Let v = 106 - u. Which is the third smallest value? (a) -0.1 (b) 0.5 (c) -0.4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2126.3 - 2125.8. Put -4, w, 28, 2\/5 in descending order.\nAnswer: 28, w, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 1467*c + 11160180 - 7231*c - 3590*c - 2652*c + 4*c**2.\nAnswer: 5*(c - 1494)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {u: 2, y: 7, x: 2, h: 2, n: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.6 or -108?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 9742271?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-48265)\/(-21) - (-1)\/(-3). Let f = k - -3301. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9631 is divided by 134.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/409, 9004.8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(13 - ((-1775)\/(-50) - 22))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {g: 7, s: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -11. Let l = 8 + v. Let m(c) = 3*c**2 - 37*c + 72. Let f be m(10). Solve -3*y + f = -l*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-30))\/((-147)\/1960*112\/(-21))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12762314779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*j = 46, 28 = 3*w - 2*j - 2*j. What is the third derivative of 4*u**2 + w*u**4 + 3*u**2 + 1684*u**3 - 1684*u**3 wrt u?\nAnswer: 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**2 - 1623*z + 55008 = 0.\nAnswer: -573, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -271*b + 272*b, -3*g = -5*b - 49 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = f - 28, 33 - 97 = -4*f - 6*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k + 11*k - 73 - 71*k + 96*k + 73.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 2*a**3)*(3 + 5*a - 3) + a**4 - 5*a**3 + 4*a**3 - 2*a**3 + 2*a**4 - 2*a**4 - 2*a**4.\nAnswer: -11*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60116 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -288 (base 10) to base 13.\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.64 - 0.36. Let g = -1 - s. Let z = g + -16. Sort -3, 0.5, z in ascending order.\nAnswer: -3, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81098562 rounded to four dps?\nAnswer: -0.811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2226839 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39231\/5 - 7854. Calculate the common denominator of m and -34\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28811 and 0.1461.\nAnswer: -28810.8539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21229512?\nAnswer: 2, 3, 79, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118076593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 5, -28, 3, 2\/7 in ascending order.\nAnswer: -28, -3, -0.1, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4232928459 + 3.\nAnswer: 4232928462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/3))\/y)**(-32)*y\/y**10*y*y**9 assuming y is positive.\nAnswer: y**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 534 = -126*w - 1058*w - 17451 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 115*d**2 - 2*d + 1. Let i be a(1). Let v = 171 - i. What is the common denominator of (v\/4)\/(18\/(-12)) and 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-11) + 4698\/(-66). Let m(j) = -139*j**2 + 1. Let q be m(-1). Let y = i - q. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 5 + 0 + -9 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996.18 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 12*h**2 + 74. Let x(q) = 4*q. Give x(k(a)).\nAnswer: 96*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1217165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21534208991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 1 h when three letters picked without replacement from {m: 1, i: 1, n: 1, h: 1, p: 1, b: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 54*m**2 - 78*m - 78. What is the units digit of t(-54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13369.2 + -13369. What is the closest to -8 in 5\/3, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41498*10.29\nAnswer: -427014.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40639, -55378, -70117, -84856, -99595?\nAnswer: -114334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:21 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*p - 2*w, 4*p + 1 = w - 7. Let v be (-1 + p + 8)\/(-2). Sort 2, v, 1 in descending order.\nAnswer: 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 > -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - y**2 + y**2)*(-2*y - 1 + 1 + (-5 + 3 + 3)*(-3*y - y + 2*y) - 5 - y + 5 + 4 - 4 + y).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 4) to base 2\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**3 + 35*m**2 + 100*m - 180.\nAnswer: -5*(m - 2)**2*(4*m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - 4*q)*(-q - 2*q + 4*q) - 4999*q + 98*q**2 + 4999*q + (-1 - 2 + 4)*(q**2 - 4*q**2 + 2*q**2).\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57*10\/6 + -4. Let v = j - 53. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 27 = 27. Let x = 23 - 10. Calculate the smallest common multiple of 12\/(-78) + 106\/x and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 44*a + 47*a - 93*a. Let r(j) = j**2. Give r(u(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-60)\/(-18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/17 in 1\/4, -0.38, -526?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916328.267 rounded to the nearest one hundred?\nAnswer: 3916300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*a = -86*a - 2259*a + 109604 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1542545443 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*y = 4*r + 77, r - 4*y + 43 = 0. Let g be -36*16\/(-1 + -3). Let p = g + r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174179466 and 48?\nAnswer: 1393435728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-8) + (-328)\/(-32). Suppose -h + 3*s + 6 + t = 0, 2*s + 4 = -3*h. Let c(q) = 199*q**3 + 4*q**2 - 6*q + 5. Is c(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 3. Let k(q) = 482*q. Give j(k(d)).\nAnswer: 232324*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5405780640*a + 5405780635*a - 10811561260*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 - 109. List the prime factors of 120*(-5)\/((-20)\/t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -4*k - 220. Suppose 48*q = k*q. Solve -z + 0*z = q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/7 + 3693009*i**2\/7 - 3409580715024*i\/7 + 3409577022016\/7.\nAnswer: -(i - 1846504)**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.452 + 0.472. Let t = u + 0.18. Which is the nearest to 31? (a) -3 (b) 3\/8 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 2*j**2 + 14*j - 7. Let u be y(-3). Suppose 0 = -5*w + 2*w + 15, 3*w = -5*n + 465. Let t = u + n. Solve 0 = -3*m + 2*m - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1317498 divided by -1729.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.415583 rounded to 4 dps?\nAnswer: 0.4156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 - 171.4. Suppose 5*f = 20 - 10. Let x = -219 - -218.9. Put f, 1, x, a in ascending order.\nAnswer: a, x, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -17. Let i be -10*3\/(-6) + g. Suppose -i*k + 24 = m - 0*m, 4*k = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -27*n**3\/2 - 3*n**2 - n + 2566. Let a(o) = -2*o**2. Give p(a(r)).\nAnswer: 162*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddww when four letters picked without replacement from wfsdkdsdkdkfwdd.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/5 + 18*f**4\/5 - 6*f**3 + 14*f**2\/5.\nAnswer: -2*f**2*(f - 7)*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 30. Let u(x) = 2*x - 6*x**2 - t*x**3 + 1 + 6*x**2 + 0*x**2. Let l be u(-1). Calculate the greatest common factor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 10) in base 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528439 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 2*r - 160 = 0. Which is the smallest value? (a) -2 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.067 - -33.067. Let g = n + -32.99999946. Round g to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015633477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 399*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + v + 2*v**3 + 4*v**3 - 3*v.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/42*8\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t - 1. Let z(o) = -8*o**2 + 3*o - 12. Let v(g) = -2*g**2 - 1. Let a(c) = -9*v(c) + z(c). Calculate 2*a(p) - 6*q(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54012875 by 10802575.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(39)\/((sqrt(54)\/sqrt(3))\/sqrt(6)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 20*c**2 - 179*c - 6. Give n(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, -2 in ascending order.\nAnswer: -18, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/6 + 1903*l**2\/2 + l\/6 - 1903\/2 = 0 for l.\nAnswer: -1, 1, 5709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -27. Let b = u - 19. Let z(l) = 7*l**3 - 2*l**2 + 2*l - 1. Let m be z(1). What is the highest common divisor of b and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2313 and 567903951?\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -273e - 5?\nAnswer: -2744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*f - 75 = 175, 5*a - 250 = 3*f. Suppose g + 3*u = -178 + 192, 4*g - 4*u - 8 = 0. Suppose -7*b = -g*b - a. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(133) + sqrt(133)*1) - sqrt(133))\/sqrt(7).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1c3de (base 16) to base 5\nAnswer: 12200203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260155113 is divided by 3569.\nAnswer: 3565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 36 = -8*n. Suppose 29 = 2*h - 3*m, n*h - 4*m - 57 = m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 1\/4.\nAnswer: 1\/4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -51*x**3 - 3*x**2 - x + 1. Let u be w(-1). Suppose 5*v + u = 10*v. Suppose y = v + 16. Calculate the remainder when 49 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = n - 1, n + 0 = 5*f + 4. Put -5, 12, 3, f in descending order.\nAnswer: 12, 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15811 by -4.\nAnswer: 15811\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -30. Let o(m) be the first derivative of -m**2 + 2*m + 1 + m**3 - 1\/4*m**y. Calculate o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 11. Let n be a(13). Let b be 68\/20 + n\/5. Determine k so that 0 + b*k**2 - 6\/5*k = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4*s - 166885*g**3*s + g**3 + 639*g**2*s + 5*g + 49 wrt g.\nAnswer: 48*g*s - 1001310*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56.0677 * 4\nAnswer: 224.2708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-216) + (-1 - -1). Let y = -121 + 125. Suppose -y*x = -3*x - 0*x. Is j > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13976 is divided by 704.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 384*f**2 - 93*f**2)*(-3 + 1 + 1)*(6*f**3 - 3*f**3 + 2*f**3).\nAnswer: 2375*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -22.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + 1.02. Let i = u + -0.9824. Let m = -0.023 + i. Round m to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5533, -5725, -6143, -6865, -7969, -9533, -11635?\nAnswer: -14353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 25*h - 62. Calculate the remainder when t(30) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/3 + 28*a**4 - 48*a**3 - 6624*a**2 + 56160*a - 129600.\nAnswer: 2*(a - 6)**3*(a + 30)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17) + -1 + -3)**2.\nAnswer: 8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from ttftttfqtqqqtt.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1499.9103 and 99?\nAnswer: 1598.9103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12124120 (base 9) to base 15\nAnswer: -7be5ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -362244000 rounded to the nearest one million?\nAnswer: -362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.28 - 0.28. Suppose 3 = -3*y + 27. Let d(f) = f**2 - 9*f + 5. Let k be d(y). What is the nearest to 1 in -2\/7, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + -2*sqrt(55)*-3)\/(sqrt(11) - sqrt(176)\/sqrt(4)) + ((sqrt(40)\/sqrt(8))\/sqrt(4))**2 + -5)*-4.\nAnswer: 15 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -211460 divided by 4?\nAnswer: -52865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -10, 2, -0.5, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -839 + 592. Let s = t - -248. What is the closest to s in -0.2, -0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -931783 - 50?\nAnswer: -931833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19994, -39753, -59280, -78575?\n\"Answer: 116*c**2 - 20107*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkl when three letters picked without replacement from {v: 3, l: 2, k: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:23 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 0*u**2 + 3*u**2 + 2*u**2 + 5*u**2 - 3*u**2 + (-2*u**2 + 2*u**2 - u**2)*(4 - 5 + 2).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2080 - 1921. List the prime factors of n.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -25*t - 19. Let j be o(-1). Solve h - 9 = -4*g + 3, -5*g + j = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iriisiisiril?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 282148645626?\nAnswer: 282148645633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -1827, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/160*12*(-20)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-6)\/(-8))*42\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -382 + 8023\/21. Let n = -1\/3 + y. Sort 4, -5, n.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 25. What is the lowest common multiple of z and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 18*k**2 + 6*k + 6. Let l be b(9). Suppose c + a + a - 1 = 0, 4 = -3*c + a. Does 3 divide (1\/c)\/((-4)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -3\/2, 2 in decreasing order.\nAnswer: 2, -3\/2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -82610.\nAnswer: 82610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:09 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 130. Let u = -36 + l. Let a(w) = -3*w**3 + 3*w**2 - w - 2. Calculate a(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.006 - 8.894. Let k = m + 9. Sort k, -3\/5, -0.5.\nAnswer: -3\/5, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 18, 54, 106?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 15*k - 46. Let h be j(-9). Let i = 112 + h. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783961610 to the power of 1\/3, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2) + (-6 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -29571\nAnswer: -29570.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 5*a**2 - 2*a**2. Let m(u) = -2*u. Let g(b) = 4*b. Let z = 8 + -6. Let v(p) = z*g(p) + 5*m(p). Give v(y(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5006474606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 - 26*l + 15. Let n be q(6). Which is the closest to -2\/7? (a) n (b) -33 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2162 + -1790. What is the highest common divisor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -46*12\/9*-3. What is the greatest common factor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 156.8. What is the second biggest value in -0.4, -5\/6, 2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(1584) + sqrt(1584) + (1*sqrt(1584)*5 - sqrt(1584)) - -3*-6*(-1 + sqrt(1584) + sqrt(1584))**2.\nAnswer: -114061 + 936*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 21. Is ((-2)\/(-4))\/(p\/(-1192)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*a = -5, -4*a - 15 + 3 = 0. Let d = 6254\/15 - 1252\/3. What is the nearest to k in -3, d, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12559 + -0.12559. Put i, -0.14, -6, -0.13 in descending order.\nAnswer: i, -0.13, -0.14, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8537*d - 8551*d + 117768. List the prime factors of d.\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/50 and 36\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (0\/1 + -1). Let f be ((-28)\/126*18\/(-28))\/(2\/14). Differentiate -f + 26*s + 14 + b + 0 with respect to s.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3870594 divided by -9?\nAnswer: 430066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -140, 0.20912, -2?\nAnswer: 0.20912","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-338)\/(-5) - 24\/40. Suppose 2*m + 27 = q. Solve -m = 3*r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1816, -1815, -1814?\n\"Answer: v - 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6884953 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-6))\/(-2))\/((-108)\/(-486)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from qssicqyysaai?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -22*h + 6. Let t(w) = -123*w + 246. Let z be t(2). Give j(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195500 to the nearest 1000.\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 1084561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30603307*-4.\nAnswer: 122413228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/30 - 5*l**4\/24 + 3*l**3\/2 + 5*l**2. Let v(g) = g**2 - 3*g + 6. What is 5*c(u) - 8*v(u)?\nAnswer: 2*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) -4.2 (c) -2\/585 (d) 0.7 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.57 - -9.47. Round u to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3509\/(-49126))\/(10\/4)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 6*l + 5 - 159*l**2 - 24*l**3 - 9*l.\nAnswer: -24*l**3 - 159*l**2 - 3*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/10338858 and -23\/12062001.\nAnswer: 72372006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 - 66696*a**2 - 270679140*a + 61618773600 = 0. Calculate a.\nAnswer: -8445, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*q - 25*q + 54. Let i be (1\/q)\/((-12)\/9). Factor -1\/4*n**2 + 1\/4*n**3 - i*n + 1\/4.\nAnswer: (n - 1)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163.1 + 163. What is the closest to 4\/3 in 4, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - u**2 + 2*u. Let q(g) = -5*g**3 - g**2 - 77*g - 7. Let o(b) = 3*b**3 + 34*b + 3. Let a(v) = -7*o(v) - 3*q(v). What is 2*a(f) + 7*p(f)?\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -6. Suppose 3*u = 7*k - m*k - 334, k - 80 = 5*u. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, g: 5}. What is prob of sequence gg?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 233876.200072 - 233877. Let a = 0.8 + k. Round a to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 288.\nAnswer: -115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -73 - 2.424998\nAnswer: -75.424998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 16 = -4*x, -5*x = -8*c + 7*c - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39404, 39392, 39374, 39350, 39320, 39284, 39242?\n\"Answer: -3*z**2 - 3*z + 39410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147594.\nAnswer: 2, 577, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 5*t + 11 = -11*q, 0 = 2*q + 3*t + 6. Which is the third biggest value? (a) 4 (b) -3\/4 (c) 0.08 (d) 5\/4 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/21)\/(14\/42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1517\/15 - -101. Which is the second biggest value? (a) u (b) 0 (c) -3 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 23 + 13. Suppose -u*y - 2*y + 8 = 0. Is y bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 6. Let w be g(-6). Suppose 4 = 4*j - 2*j. Suppose -4*k + 5*i + 63 = 0, k + w*i = j*i + 15. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3427\/(-1104) - 12\/(-4) and (-354)\/(-6)*(-1)\/(-54).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o - 10 = 118*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z**(2\/7))\/(z**0*z)**(-2\/9))\/((z\/(z*z**(2\/7)\/z))**25)**(37\/3) assuming z is positive.\nAnswer: z**(-13879\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 - -229. Calculate the remainder when m is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**3 + m**2 - 36*m + 71. What is the remainder when j(2) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - m - 79*t + 165 = -303, -2*m + 2*t = 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r - 1. Let g be x(-3). Let z = 1340272 - 1340267. Solve g*h = p - 27, -25 = -h + 4*h - z*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 8*l**3 + l + l**2 + 5*l**3. Determine j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 2726*s + 64850. Give q(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9361616 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*m - h, -127*m + 123*m + 4*h = -28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 11. Suppose o*d + 3*a = 8, 0 = 4*d + d - 5*a. Suppose -3 = 4*j + d. What is the second biggest value in -0.4, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) -2\/7 (c) -0.3 (d) -2 (e) -4.202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472642 is divided by 117993?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 2*f**3 + f**2 - 3*f**3 - 662 + 671 in the form y + l*f + w*f**3 + d*f**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1181 - 557. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 5, 9, -657 in decreasing order.\nAnswer: 9, 5, -2, -6, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988052 is divided by 1823.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 6*j. Suppose -3*x - 19 = 4*n + 8, j = -n. Which is smaller: 7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0, -1\/4, -0.13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x + 3. Let r(p) = -p - 15. Let l be r(-18). Let k(w) = -w**3 + 4*w**2 - 2*w - 1. Let i be k(l). Let s(n) = n**2 - n + 1. What is i*s(v) - f(v)?\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 67?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*t - 3*r, -4*t = 3*r + 32 + 2. Let h(n) = -2*n - 10. Let y be h(t). Solve 3*o - a = -y, -o + 6*a = a + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m**3 - 1458*m**2 - 7284*m. What is o(-5)?\nAnswer: 1220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0346 (b) -9\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 7*z - 21. Let n be c(-3). What is the highest common factor of 117 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 - 11. Determine z(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -21050332?\nAnswer: 21050340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**9\/1008 - q**8\/280 + q**6\/60 + q**5\/40 + 2*q**3\/3 + q. Let r(p) be the second derivative of v(p). Factor r(w).\nAnswer: -3*w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2.2. Let u = g + -0.3. Suppose 85*j = 70*j - 15. Which is the closest to j? (a) 3 (b) u (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (696 + c - 714 - 6*c)*((2*c + 4*c - 4*c)*(-1 - 2 + 4) + 0*c - 3*c - c).\nAnswer: 10*c**2 + 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1307, -2467, -3485, -4355, -5071?\n\"Answer: d**3 + 65*d**2 - 1362*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.73 - -0.27. What is the nearest to 0.1 in 13, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*g + 72*g**3 + 1 + 26*g - 3*g**2 - 3 - 16*g**4 - 74*g**3 + 20*g as n*g + m*g**3 + t*g**2 + l*g**4 + k and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owooopopp. Give prob of sequence wo.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4830)\/(-299) - (-8)\/(-52)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264484813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**2*o**4 - 4*f**2*o + 401*f**2 - 2849*o**4 wrt o.\nAnswer: 96*f**2*o**2 - 34188*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 10 = 0, 0 = -3*t + 4*x - 0*x + 4667. List the prime factors of t.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5661 divided by -10135\nAnswer: 5661\/10135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 7)*(169 - 169 + 22*a)*(0*a + 2*a - 4*a).\nAnswer: -396*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 + 825343044*w - 56765928356598828 = 0.\nAnswer: 137557174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5477 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -56*k - 303. Let s(p) = 22*p - 183. Let n be s(8). Let r be w(n). What is r rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.9824 hours to milliseconds.\nAnswer: 309536640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*b*f*q - b*f + 4*f*q - q + 8 wrt b.\nAnswer: -10*f*q - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let z(s) be the second derivative of s**4\/12 + 4*s**2 - 3*s + 1. What is o(z(r))?\nAnswer: -2*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -1\/120*p**6 + 1\/24*p**4 + 11*p**2 + 5\/6*p**3 + 9 + 1\/20*p**5 + 0*p. Suppose -2*r + 4*r = 8. What is b(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 1\/18*b**4 - 12*b - 1\/3*b**2 + 0 + 0*b**3. What is s in k(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 4*l - 12. Let p be f(-2). Which is the second smallest value? (a) 1 (b) 3\/38 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13498 - -53099. Is h a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 2. Let x(i) = 1. Let r(n) = -g(n) - 2*x(n). Let h(z) = z**2. Determine r(h(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -712, -2847, -6436, -11503, -18072, -26167, -35812, -47031?\nAnswer: -59848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2660 + 2656. Let r = 0 + 0. Put -2, l, r in decreasing order.\nAnswer: r, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 460, 5, -2, 11 in decreasing order.\nAnswer: 460, 11, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Suppose -3*s - 2*s - 15 = 0. What is the remainder when 53 is divided by s\/n*-3*4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1947 at most as big as -1946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680186 is divided by 747.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2146808 and -107\/132.\nAnswer: 70844664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaoafjrjaaoaojoaojao. What is prob of sequence aoa?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 457973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zdddzddddddzdddd.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9*m = -42. Calculate the remainder when 11 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*52\/39*(-27)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/((-135)\/(-20))*(3 + 18\/(-12)). Let q(n) be the first derivative of 15*n + 2 + 7\/2*n**j. What is the first derivative of q(m) wrt m?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20 and 28691.\nAnswer: 28671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3216293 and -0.2.\nAnswer: 3216292.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 9) in base 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24182 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 5*m + 63 = 0. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.527 - -3.5. Let t = 0.133 - g. Sort -3, t, -1 in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*n + 63*n - 2743 - 3527 = -6*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/2*z + 1\/2*z**3 + 5*z**2 + 0 = 0. Calculate z.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 454 - -5293?\nAnswer: 5747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139180534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiivxjidi. Give prob of picking 1 x and 1 i.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7*-1)\/(14\/28). What is the nearest to 2 in 0.1, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 13*u**2 + 12*u - 10. Is o(8) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58589 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -322?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 34. Let d be m(-17). Which is smaller: d or -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -1. Let b be (-6)\/f*10\/6. Solve i - 20 = 4*a, -4*i = -9*i + b*a + 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h**0*h)))\/(h\/(h**(-8)*h)))**(-4\/21) assuming h is positive.\nAnswer: h**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-348*v + 200*v - 203*v).\nAnswer: 702*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/2 - (-377)\/116. What is q in -1\/4*q**2 + g*q + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 14 (c) -3 (d) 0.4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(2\/7)\/s)\/s))**6\/((s**4*s)\/s**(1\/3)))\/(s**0\/s*s*s\/s**(-5))**(-2\/13) assuming s is positive.\nAnswer: s**(3424\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(104)*-4 - sqrt(312)\/(sqrt(12)*-2))\/(sqrt(4)\/(sqrt(2)*-1)*-6*-2).\nAnswer: 13*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -41*s + 2. Let b = 14 - 16. Let l(o) = 4182*o - 205. Let y(f) = b*l(f) - 205*x(f). Let u(j) = -2*j**2. Give y(u(k)).\nAnswer: -82*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/32)\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*f - 20, 3*c + 12 + 12 = -3*f. Let d be c - (3 - (-4 - -22)). Find the second derivative of d*m + 26*m - 23*m**5 - 12*m**5 + 5*m**5 wrt m.\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -8*u - 1. What is the lowest common multiple of 10 and u?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*m + 216 + 194 + 954 = 0. Let x = -21 + 30. What is the lowest common multiple of m and x?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-4)\/((-153)\/27 + 3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 41*a**2 + 10*a + 17. Calculate c(-3).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3 plus -30216990?\nAnswer: -30216997.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 + 411. Suppose -2*w - 5*x = -q, 5*w - 1047 = 2*w - x. What is the remainder when w is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*a - 3*b - 14, a + b = -16. Let i(j) = -j**2 - 19*j + 13. Let y be i(a). Let m = 65 - y. Solve -x = x + 2, -2*x = 5*w - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*f = -61*f - 2. Let r(b) be the second derivative of -17\/3*b**3 + 14*b - 2\/3*b**4 + 0*b**f + 0. What is the second derivative of r(c) wrt c?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 34, -2, 1, 87906 in ascending order.\nAnswer: -3, -2, -1, 1, 34, 87906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:17 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*f = 64, -65 = -4*u - 0*u - 3*f. Solve -5*t = -2*p - u, 19 - 1 = 2*p + 3*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -67*b**3 - 2*b - 4. Let o be q(-2). Suppose -o = 5*t + 229. Let z = -85 - t. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**5\/5 + l**3 + l**2 - 21. Factor v(r).\nAnswer: -r*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -0.01 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 4210167*k**2 - 1476912877605*k + 149211151642575 = 0 for k.\nAnswer: -701745, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from yyyyyhhhhhphyhhhhh?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2973*b**2 - 4491 + 7670 + 6752 wrt b?\nAnswer: 5946*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/2 + 2*q**2 - 5*q\/2 + 1 = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338 and 11882?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15788161 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ciiicci?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04276004 rounded to four dps?\nAnswer: 0.0428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/12)*h)\/h)**27 assuming h is positive.\nAnswer: h**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5043916 = 5*f + k, 2*k - 3*k = -4*f - 4035140. Let u be (-2)\/(-13) - f\/104. Round u to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1043, -1067, -1157, -1349, -1679, -2183?\nAnswer: -2897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*-1)\/sqrt(2).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-4)*(11 - ((-1043)\/(-49) - 3 - 9)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2 + 0*p**3 + 0 - 1\/2*p**5 + 1\/2*p - p**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3908033?\nAnswer: 97, 40289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*c - 135, -2*u + 0*u + c + 83 = 0. Suppose 0 = 5*r - u - 7. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2 - 3 + 3*l + 4*l - 9*l + 0*l = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1910428 and 2106.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1226071, 2452141, 3678213, 4904287, 6130363, 7356441?\n\"Answer: u**2 + 1226067*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**2 - 21*u + 67. What are the prime factors of w(16)?\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -225, -226, -227, -228, -229, -230?\n\"Answer: -k - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6940, 6939, 6938, 6937, 6936, 6935?\n\"Answer: -o + 6941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -27.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 88235952.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 + 2*t - 1. Let f = -30 - -31. What is the least common multiple of h(f) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 5*q + 8. Determine y(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8. Suppose q + q - 106 = z. Calculate the remainder when q is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-1\/3)))\/((y*y**(-1\/7))\/y))\/(y*y*(y\/(y**3*y))\/y*y*y**(-2\/23)) assuming y is positive.\nAnswer: y**(755\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1102767 (base 11) to base 12\nAnswer: -794596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2 - 3. Let k(u) = -7*u**2 - 4. Let c(d) = -3*k(d) + 4*l(d). Let v(h) = -3*h**2 - 5. What is c(v(i))?\nAnswer: -27*i**4 - 90*i**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h - 43. Let q be l(9). Suppose -5*f + q*p + 173 = 45, -p = -3*f + 77. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**4 + 2 - 2*s**2 + s**4 + 4*s**2 + 0*s**4 to p*s + h*s**2 + g + v*s**4 + l*s**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2712 and 770563272?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1058.7 + 939. Let b = z + 125.79. Round b to one dp.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(1*sqrt(832)*-1 - (sqrt(832) - (1 + sqrt(832)))*-3))**2*3.\nAnswer: -201840 - 11520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 = -b - 3*s, b + 2*b + s = 2718. Does 46 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h + 3 - h - 4 + 4. Let n be k(-8). Let c = 18 - n. Solve -c*b = -3*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 y when three letters picked without replacement from {q: 3, d: 5, y: 2, o: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/l*l\/(l\/l**1))**(-11)*l**(3\/2)\/l*l\/(l*l**2\/l)*(l*(l**(-2\/5)*l)\/l)**(4\/5) assuming l is positive.\nAnswer: l**(1097\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -10. Suppose -4*m = 3*y - 8, 3*m = q*y + m - 22. Let h = 3 + y. Solve -i - 2*w = -0*w, 2*i = 3*w - h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*a + 4. Let b be 3\/(a - (-6)\/15). Let u(i) = -9*i + 7*i**2 + 2*i - 2 - 3*i**2 - 1 + i**3. Determine u(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6164 and 1617246.\nAnswer: 74393316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = t + 4*t - 19, -3*t - 3*i = -9. Suppose 5*j = -4*x + 789, -t*j + 813 = -2*j - 2*x. What are the prime factors of j?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6484 + 23051 = 17*l - 12*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 8. Suppose -7*v = -9*v - 12. Give y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2209\/5 <= -443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20403 divided by 6\nAnswer: -6801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10590997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/21)\/(4\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 5*n**2 + 36. Determine c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -17*f**5 + 5*f**4 + 29*f + 5. Let q(k) = 18*k**5 - 4*k**4 - 29*k - 4. Let s(a) = 4*g(a) + 5*q(a). What is the second derivative of s(n) wrt n?\nAnswer: 440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0, 4, 0.4, -5, -0.02563?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - l**2 + 2*l - 9. Let y(j) = j - 8. Let p(x) = 4*w(x) - 5*y(x). Let i be p(3). Let f = i + -82. Solve -5 - 2 = -r + b, 5*r + f*b - 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.352 + 0.252. Which is the closest to -2\/7? (a) k (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13 = -7. Let x = 12 - v. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5656445 is divided by 1131286.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2150442748089 + -465.\nAnswer: 2150442747624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**3 + 0 + 5\/6*i**4 + 2*i + 0*i**2. Let j(p) = -4*p - 6. Let h(o) = -3*o - 5. Let l(u) = -6*h(u) + 5*j(u). Give l(a(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dod. Give prob of picking 1 d and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwy when three letters picked without replacement from {w: 9, y: 11}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117 - 0. Suppose -4*n - 21 + b = 0. Suppose 0 = 4*j - j - n. Calculate the highest common factor of j and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/5 - 51*t**2 - 555*t - 1425.\nAnswer: 3*(t - 95)*(t + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8232)\/(-144)*18\/19350 + (-4)\/86\nAnswer: 1\/150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h. Let u(v) = -13*v. Let b(w) = -13*c(w) + u(w). Let f(k) = 257*k + 267*k - 524*k - 2*k**2. What is f(b(o))?\nAnswer: -338*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3445\/1300 + 8\/(-32). Solve 0 - 51\/5*f**3 - 9\/5*f**5 + 0*f - c*f**2 - 48\/5*f**4 = 0.\nAnswer: -4, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 2, p: 7, m: 2}. What is prob of sequence vv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 73, 135, 227, 355, 525, 743, 1015?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53572111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/7 (c) 21257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**3 + 5*l**2 + l. Let y(q) = -9*q**3 - 9*q**2 + 16*q + 7. Let u(k) = -5*k**3 - 5*k**2 + 9*k + 4. Let r(g) = 7*u(g) - 4*y(g). Give n(b) - 5*r(b).\nAnswer: 2*b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12221807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**3 + t**2 + t + 2. Let k = -261 + 260. Let z(c) = -c**2 - c. What is k*a(j) - z(j)?\nAnswer: -6*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 92*m - 159. Calculate the remainder when 262 is divided by i(-48).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 105 (c) -46 (d) -5\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 337.9682 - 338. Round a to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155176447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) + (-533008)\/(-104082). Let o = -3\/17347 - i. What is the common denominator of 45\/2 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + (-122)\/18. Let l = 23 + -11. Let c = l + p. Solve -15 = c*h + 5*z, -2*h - 2*z - 2*z = 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -28*o - 6. Suppose -10*u + 3*u = 0. Suppose u = 2*w + 3*n - 0*n + 16, -5*n - 26 = 3*w. What is the tens digit of p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + f**4 + 2*f**4 - 2*f**3 + f**4 + 2*f**3 + (2*f**2 - 1 + 1)*(-2*f**2 + 3*f**2 + 3*f**2) + 256 - 130 - 136*f - f**4 - 128.\nAnswer: 12*f**4 - 136*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.816588 micrograms?\nAnswer: 0.000004816588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/2 - r. Let d = -194 + 318. Let j(m) = -d + 4*m + 124 - m. Calculate j(x(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/6 - a**2 + 2*a. Let m be b(-2). Is 13 a factor of 13\/(2\/m + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**3 - 3*g**2 + 2*g + 6. Let f(n) = -13*n**3 + 6*n**2 - 4*n - 11. Let q(c) = -6*f(c) - 11*o(c). Let p be q(2). Is p at least as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3472 = 5*h. Let t be h\/(-12) + (-3)\/(-9). Let d = 127 + t. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1318746*l + 1318752*l + 18*t + 108 = 0, 2*l - 5*t - 19 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/30 - h**4\/24 - 2*h**3\/3 + 19*h**2. Let w(k) = k**2 + 1. Calculate -j(f) - 3*w(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-87)\/(-117) + 2\/(-3)). Let x be 15\/3*(-6)\/(-5). Let j be (21\/x)\/(2*(-1)\/(-52)). What is the greatest common factor of j and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Suppose -j + 0 - 1 = 0. Put 1, j, f in ascending order.\nAnswer: j, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13833071123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -8) + (2 - (-3 - -3)). Let v be 44*((-7)\/(-2) - t). Solve -4*b - 5*s - 7 = -44, 2*s = -4*b + v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w - 11. Let f(h) = -4 + 3*h - 6*h - 4*h + 0*h. Calculate -11*f(t) + 4*i(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*-1 + (-5808)\/22990?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6109 (base 14) to base 15.\nAnswer: 4e14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9919 + -0.9519. Sort 0.4, 1.2, 1\/3, v, -0.4 in increasing order.\nAnswer: -0.4, v, 1\/3, 0.4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690623.4 kilometers in nanometers?\nAnswer: 690623400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 11. Suppose s*n = 5*n - 957. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 8)\/((-7310)\/344)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -2\/3, -3\/328?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*f = -13, 0*c + 5 = c + f. Suppose 4*n - 16 = 5*l - 70, -c*l - n + 39 = 0. What is the smallest common multiple of 14 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14315497 and 3?\nAnswer: 42946491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s - 14*s - 1 + 3*s + 2*s. Let r(i) = i**3 + 3*i**2 + 2*i - 1. Let t be r(-2). What are the prime factors of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 318 + (5 + -1)\/(-15 + 711\/45). Calculate the highest common divisor of 1343 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 62. Suppose i - 4*m + 9 = 27, 0 = -5*i - 3*m - 2. Suppose -4*n + 5*o = -38, -i*n + 4*o + 36 = 2*n. Do n and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from kkhk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiiuiuuuuuioiiiuiiiu. Give prob of sequence uiio.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -0.4 (b) -1 (c) -1\/4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 6995198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16474531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -39*w**2 + 276*w + 32. Let c be y(7). Calculate the greatest common factor of c and 14257.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28445 is divided by 327.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.037 - -0.093. Let j = 4309.76999872 - 4309.64. Let y = h - j. What is y rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(1 - 7)\/3. Let g(m) = -m + 2. Let u be g(0). Suppose 57 = 4*h + 3*c, -c = u*h - t*c - 21. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -96.7289254 and -2?\nAnswer: 94.7289254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:16 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 620.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -96*b**2 + 44*b**2 + 49*b**2. Let m(s) = s**2 - 26. Calculate j(m(w)).\nAnswer: -3*w**4 + 156*w**2 - 2028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146832 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {w: 7, f: 3, y: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from itii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10*p**2 - 3. Let b(i) = 9*i**2 - 4. Let j = 12 - 15. Let x(l) = j*b(l) + 4*f(l). Let k(t) = 4941*t - 1 + 1 - 4940*t. What is x(k(y))?\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 26422 (c) 0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/5, -5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -29*t**2. Let v(l) = 7*l**2. Let n(z) = 20*z**2. Let b(k) = 6*n(k) - 17*v(k). Give d(b(r)).\nAnswer: -29*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {p: 1, e: 19}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:28 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (2*sqrt(1200) + sqrt(12) - sqrt(12)))\/(sqrt(64)*-2).\nAnswer: -21*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - 165. List the prime factors of ((-10)\/(-20))\/(2*t\/(-552)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -371095 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -660 - -646. Which is the nearest to 3\/7? (a) 4 (b) -0.3 (c) i (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -178 + 168 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*(-12)\/(-126)*147\/(-63). Suppose 0*t = -t + 6. Let q be (10\/(-15))\/(2\/t). Which is the nearest to q? (a) w (b) -2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 13*a**2 - 47*a - 30. Calculate k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 635226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 375326\/547 at most as big as 686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/5)\/(10\/(-550)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tkazzlet.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4947*z**5 + 2770*z wrt z.\nAnswer: 98940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 2*s**3 + 3*s**5)*(0 + 0 + 1) + (0*s**2 + 0*s**2 + 2*s**3)*(s**2 - 3*s**2 + 4*s**2) + 6*s**5 - 5*s**5 + 0*s**5.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 + 21*b + 26. Calculate the lowest common multiple of 18 and z(-10).\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Let j(d) be the first derivative of d**4\/6 - 7*d**3\/6 + 9*d**2\/2 + 31. Let h(n) be the second derivative of j(n). Calculate p(h(i)).\nAnswer: -16*i**2 + 56*i - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 153047399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:35 PM?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2364*h**5\/5 + 8397*h**4 + 182784*h**3\/5 - 455157*h**2\/5 - 119508*h\/5 + 252 = 0. Calculate h.\nAnswer: -5, -1\/4, 2\/197, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7 + 12*x**3 - 4 + 5 + 5*x + 21*x**3 wrt x.\nAnswer: 198*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -0.3 (b) 13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 20 + 655*t**4 - 624*t**4 - t**5 - t**5)*(0 - 6 + 4).\nAnswer: 4*t**5 - 62*t**4 - 2*t**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3093656071?\nAnswer: 11, 3137, 89653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 33*n**2 - n - 17. Let s be f(-33). Suppose -3626 = -s*x + 2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -189*r**2 + 189*r**2 + 39*r**4 + 2*r**4 - 7*r**4 + 3*r**4 + (3*r**3 - r**3 - 3*r**3)*(1 + 2*r - 1) + (-5 + 1 + 5)*(-r**4 - 2*r**4 + 5*r**4).\nAnswer: 37*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 1281?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 17*q + 8*q**2 + 3*q + 14*q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}